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5 Ways to Teach Math Word Problems in 2nd Grade

1st & 2nd Grade Math Skills , Math , Word Problems

Your students have mastered their math facts. They understand basic operations. Now it's time to tackle some word problems! Read on to discover strategies and resources to help teach word problems to 2nd grade learners.

problem solving strategies for grade 2

Why is it important to teach word problems?

Why is it important to teach word problems? Answer: it's not just because it's a grade level standard! Word problems allow students to demonstrate a full understanding of the math skills and operations they have learned. Word problems also allow students to use logic, critical thinking, exercise a step-by-step approach, and identify essential information. All of these skills listed are not only important math skills, but also important life skills!

5 Word Problems Strategies for 2nd Grade

There are many different strategies to teach students to solve 2nd grade math word problems. Try one, some, or all of the strategies listed to reach learners of all levels and abilities.

1. Identify Key Words for Each Operation

In every 2nd grade math word problem, there is an important keyword. This keyword will unlock the answer by telling you what operation must be used to correctly solve the problem. For students to be able to identify the correct operation, they need to recognize and understand the word problem keywords for addition and subtraction.

cubes anchor chart describing the C-U-B-E-S word problem solving strategy

Common keywords for addition word problems

  • increased by

Common keywords for subtraction word problems

  • left over/left
  • how many more

Practice reading word problems aloud together. Can your students spot the keyword in each problem?

addition and subtraction words anchor chart

2. CUBES Math Strategy for Word Problems

The CUBES strategy is a helpful way to solve 2nd grade word problems. Use this acronym to help you remember the steps needed to solve a word problem:

C : Circle the numbers

U : Underline the question

B: Box the keywords

E : Eliminate the extra information

S : Solve and check the problem

By using the CUBES strategy, the student is able to break down the word problem into small, manageable parts. This blog post about the CUBES strategy explains everything you need to know about using this strategy with 2nd grade learners. You can download the CUBES math strategy chart FREEBIE here .

CUBES word problem solving strategy graphic organizer

3. Draw a Picture to Solve Math Word Problems

A word problem is a math story. Visual learners may benefit from drawing a picture to solve a math word problem. No need to be an artist! Students can draw simple shapes to represent the items in the word problem.

Addition Word Problem Example

There are 21 purple butterflies and 8 pink butterflies in the garden. How many butterflies are there in all?

To solve this problem, a student would draw 21 purple butterflies (or dots/symbols to represent a butterfly), and 8 pink butterflies. Then count all the butterflies to get the answer.

problem solving strategies for grade 2

Subtraction Word Problem Example

There are 21 butterflies in the garden. 8 fly away. How many butterflies are left?

To solve this word problem, students would again draw 21 butterflies. To show subtraction, put an X over 8 butterflies. How many remain?

problem solving strategies for grade 2

This video does a great job of showing how to use pictures to solve a math word problem:

4. Use objects to solve a word problem

Use math manipulatives to solve word problems! 2nd grade learners will benefit from this visual, hands-on learning aid! Some math manipulatives that can be used to solve word problems include unifix cubes, base ten blocks, counters, erasers, tangrams, popsicle sticks – anything tactile that will help students visualize the problem will do! Also, here's a list of some of our favorite math manipulatives . A variety of manipulatives can be printed from the Lucky Little Toolkit.

paper base ten blocks to aid in word problem solving

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5. Write a number sentence

You've found the numbers. You know what operation to use. Now it's time to show that work by writing a number sentence! Solve to find your answer. Need more practice with word problems? Check out the Spiral Math Review Freebie for leveled review!

spiral math daily review sheet for reviewing 2nd grade math skills

Get Spiral Math

toothy task kits

6. Enrichment: 2-Step Story Problems

Your students will have a blast with this game when they are ready for 2-Step story problems within 20.

problem solving strategies for grade 2

I love the You Tube video that explains the strategy, however, the child’s name in the problem is Jayden and you say “Troy” has five more after solving the problem. Just a tad confusing for kids.

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problem solving strategies for grade 2

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Home » Teacher & Parents Tips » Math Made Easy: Helping Grade 2 Students Thrive in Problem Solving

Math Made Easy: Helping Grade 2 Students Thrive in Problem Solving

Mathematics is an essential subject that students cannot afford to neglect. As early as grade 2, students are introduced to the basics of mathematical concepts such as numbers, addition, subtraction, multiplication, and division. An essential aspect of mathematics is problem-solving. While many students find it challenging, it can be made easy with the right approach. This article will discuss how parents and educators can turn problem-solving woes into victories and equip their grade 2 students with the skills needed to excel in math.

Table of Contents

The Importance of Problem Solving in Grade 2 Math

Problem-solving is an essential skill that students need to master to excel in math. It involves critical thinking, analysis, and decision-making. It also helps students develop their reasoning abilities and enables them to apply logic in real-life situations. In grade 2 math, problem-solving skills are essential as they help students understand mathematical concepts better. Students who can solve problems are more confident and enjoy math more than those who struggle.

Turning Problem-Solving Woes into Victories

Many students, especially in grade 2, find problem-solving challenging. However, with the right approach, it can be turned into a victory. One way to turn problem-solving woes into victories is by breaking down the problem into smaller parts. Encourage your child to read the problem carefully and identify the key elements. Once they have identified these elements, they can begin to solve the problem step by step. This approach helps students understand the problem better and reduces anxiety.

Another way to turn problem-solving woes into victories is by practicing regularly. The more students practice, the more comfortable they become with problem-solving. Encourage your child to practice regularly and provide them with different types of problems to solve. As they solve more problems, their confidence will increase, and they will become more efficient problem-solvers.

Strategies for Effective Problem Solving in Math

There are several strategies that students can use to solve problems effectively. One of the most effective strategies is the use of visual aids. Encourage your child to draw diagrams or pictures to help them understand the problem better. This approach helps students visualize the problem and enables them to make better decisions.

Another strategy is to use real-life situations to solve problems. This approach helps students understand how math can be applied in real-life situations. For example, if you want to teach your child about fractions, you can use pizza slices to help them understand the concept better.

Lastly, encourage your child to work with a partner or in a group. Group work helps students learn from one another and can be an effective way to solve problems. It also helps students develop their social skills and enables them to work collaboratively.

Fun and Engaging Math Activities for Grade 2 Students

Learning math can be fun and engaging. There are several math activities that parents and educators can use to help grade 2 students develop their problem-solving skills. One such activity is math games. Games such as Sudoku, Math Bingo, and Math Jeopardy can be used to teach students math concepts while making learning fun.

Another activity is math puzzles. Puzzles such as crosswords, word searches, and logic puzzles can be used to develop critical thinking and problem-solving skills. Additionally, math stories can be used to teach math concepts while making learning fun. Math stories can be found in storybooks or online, and they provide an interactive way to teach math concepts.

Developing Critical Thinking Skills through Math

Mathematics is an excellent way to develop critical thinking skills. Critical thinking involves analyzing, interpreting, and evaluating information to make informed decisions. In math, critical thinking is essential as it helps students understand mathematical concepts and apply them in real-life situations.

Encourage your child to think critically when solving problems. Teach them to ask questions and to consider different solutions to a problem. Additionally, encourage them to explain their reasoning and to justify their solutions. These skills are essential in problem-solving and can be applied in other areas of their lives.

Providing Support and Encouragement for your Child

Providing support and encouragement is essential when helping your grade 2 child excel in math. Encourage your child to ask questions and to seek help when they need it. Additionally, provide them with a positive learning environment and praise their efforts and progress. Celebrate their successes and encourage them to keep learning and practicing.

Equipping Your Child for Math Success in Grade 2

Mathematics is an essential subject that requires problem-solving skills. By turning problem-solving woes into victories, providing support and encouragement, and using effective strategies and fun activities, parents and educators can help grade 2 students excel in math. With the right approach, learning math can be fun and engaging while developing critical thinking skills that are essential in all areas of life.

2nd Grade Fast Math Success Workbook

The Summer Math Bridge: A Workbook for Grades 8th to 9th

2nd Grade Fast Math Success Workbook: Math Worksheets Grade 2: Numeration, Addition, Subtraction, Telling Time and More with Answers

  • Comparing Numbers Within 200
  • Ordering Numbers Within 200
  • Skip Counting: Count By 1s and 2s
  • Place Value: Ones, Tens, and Hundreds
  • Addition: 1 through 100
  • Subtraction: 1 through 100
  • Addition: Missing Number – 1 through 100
  • Subtraction: Missing Number – 1 through 100
  • Ordering Numbers – 1 through 1000
  • Comparing Numbers – 1 through 1000
  • Counting: Count by 4 to 6
  • Addition and Subtraction: Double Digit
  • Addition and Subtraction: Missing Number – Double Digit
  • Addition: Triple Addend – 1 through 100
  • Mixed Operations: 1 through 100
  • Write the Numbers Before, After, and Between
  • Addition and Subtraction: 1 through 1000
  • Telling Time
  • Time Passages
  • Addition and Subtraction Games
  • Final Review

MathBear: Math Workbook Grade 2

The Summer Math Bridge: A Workbook for Grades 8th to 9th

MathBear: Math Workbook Grade 2: 2nd Grade Math Workbook: Addition, Subtraction, Multiplication, and Numeration with Answers

Math Practice Workbook Grade 2

The Summer Math Bridge: A Workbook for Grades 8th to 9th

Math Practice Workbook Grade 2: 3051 Questions to Master Essential Math Skills (Numeration, Addition, Subtraction, Multiplication, Telling Time and More) With Answer Key

  • Circle the Numbers
  • Comparing Numbers
  • Addition: Double Digit
  • Subtraction: Double Digit
  • Addition: Missing Number
  • Subtraction: Missing Number
  • Number Before, After and Between
  • Addition: Triple Digit
  • Subtraction: Triple Digit
  • Basic Multiplication

MathBear: Homeschool Math Workbook Grade 2

The Summer Math Bridge: A Workbook for Grades 8th to 9th

MathBear: Homeschool Math Workbook Grade 2: 2nd Grade Homeschool Math Practice Workbook: Addition, Subtraction, Multiplication, Place Value with Answers

  • Place Value
  • Commutative Property
  • Addition Games
  • Subtraction Games

MathBear: Math Curriculum Workbook Grade 2

The Summer Math Bridge: A Workbook for Grades 8th to 9th

MathBear: Math Curriculum Workbook Grade 2: 2nd Grade Math Curriculum: Numeration, Place Value, Addition and Subtraction, Telling Time with Answers

  • Ordering Numbers
  • Number Before, After, or Between
  • Number Lines
  • Place Value: Ones, Tens, Hundreds
  • Subtraction
  • Addition: 3 Addend
  • Introduction to Multiplication
  • Measure the Rectangles
  • Match the Answers

MathBear: Math Practice Grade 2

The Summer Math Bridge: A Workbook for Grades 8th to 9th

MathBear: Math Practice Grade 2: 2nd Grade Math Practice Workbook: Addition, Subtraction, Multiplication, Place Value, Telling Time, Commutative Property with Answers

MathBear: Math Skills Workbook Grade 2

The Summer Math Bridge: A Workbook for Grades 8th to 9th

MathBear: Math Skills Workbook Grade 2: 2nd Grade Math Skills Practice Workbook: Addition, Subtraction, Basic Multiplication, Place Value, Math Games, and More With Answers

All Seasons Math Tests Grade 2

The Summer Math Bridge: A Workbook for Grades 8th to 9th

All Seasons Math Tests Grade 2 (Student's Edition): 100 Math Practice Pages Grade 2: Timed Math Tests: For Classroom and Homeschool

Kids Math Book Ages 6-8

The Summer Math Bridge: A Workbook for Grades 8th to 9th

Kids Math Book Ages 6-8: Math Practice workbook Grade 1-3: Addition, Subtraction, Place Value, Telling Time

  • Addition Target
  • Subtraction Target
  • Addition Square
  • Ordering Numbers: 1 to 100
  • Addition Table
  • Subtraction Table
  • Addition: Triple Addend
  • Numbers Before, After, and Between
  • What time was and will it be?

Math Workbook Grade 2: Addition and Subtraction

The Summer Math Bridge: A Workbook for Grades 8th to 9th

MathBear: Math Workbook Grade 2: Addition and Subtraction: 2nd Grade Double Digit Addition and Subtraction Workbook with Answers

  • Addition: within 100
  • Subtraction: within 100
  • Basic Addition with Regrouping
  • Basic Subtraction with Regrouping

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problem solving strategies for grade 2

Teaching Word Problems in 2nd Grade

If you’re looking for a better way to teach word problems, and more importantly, want your students to be more successful in solving word problems, I’m here to help. Teaching word problems in 2nd grade doesn’t have to be a challenge.

Why is teaching word problems in 2nd grade so hard?

When I first started teaching, I taught my students to use keywords, underline and circle, highlight and box…and yet, it didn’t help. They still didn’t know when to add and when to subtract.

And, my students didn’t understand or perform any better. 

It didn’t help that I wasn’t consistently teaching or letting my students practice solving word problems.

Word problems have always been a source of contention for my students no matter what grade I taught (1st, 2nd, and 4th), and have always been something I’ve taught haphazardly as part of an adopted math curriculum. 

Most math curriculums offer the following:

  • 1 or 2 word problems at the end of each lesson, but don’t actually offer a way to teach students how to solve word problems
  • 1 chapter on “problem solving”

And seriously, neither of those is helpful.

I wanted my students to get daily, strategic word problem practice. 

And guess what? When I started teaching word problems in 2nd grade in a consistent, strategic way, my students were less frustrated, and much more proficient word problem solvers. 

So, what’s the solution?

Now, I follow a 4-day teaching plan, and assess on day 5. 

I no longer teach key words or underlining, circling, highlighting, and/or boxing…instead, I teach my students to look for patterns in how word problems are structured…word problem situations. 

In addition, I dedicate 5-10 minutes each day for word problem teaching and practicing.

There's a better way to teach word problems, and students will be  successful in solving word problems. Teaching word problems in 2nd grade can be easy!

How do I know what to teach?

I start with the standard. 

Honestly, no matter what I’m teaching this is where I start. I need to know exactly what the expectation is, so then I can help my students master it.

The Common Core standard for 2nd grade says:

CCSS.MATH.CONTENT.2.OA.A.1

  • Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.

While many states no longer use the term “Common Core” many of their adopted standards are the same, or at least similar. 

MAFS.2.OA.1.1 (Florida Standards)

  • Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. 

There's a better way to teach word problems, and students will be  successful in solving word problems. Teaching word problems in 2nd grade can be easy!

So here’s what 2nd graders need to be able to solve:

  • Addition/Subtraction within 100 
  • One-Step & Two-Step
  • Put Together

When you look at what 2nd graders are supposed to do, it’s no wonder teaching word problems is so difficult, not to mention students actually getting the hang of them.

There's a better way to teach word problems, and students will be  successful in solving word problems. Teaching word problems in 2nd grade can be easy!

How I teach word problems in 2nd grade:

At the beginning of the year, students are introduced to our word problem routine after the first couple of weeks of school.

I explain that word problems are like stories we have to read, and understand what’s going on in the story. We call these word problem situations.

Then, I teach students that there are 4 things they should always do when they solve a word problem:

  • Write a Number Sentence
  • I explain to students that I can’t hop inside their brains to see what they’re thinking, and if I don’t know what they’re thinking, I can’t help them become better word problem solvers.
  • Students can draw a picture, use a fact family, base 10 blocks, and/or the standard algorithm.
  • I look to see that the student has the correct answer.
  • For example, instead of just saying “4,” my students write, “Cheyenne has 4 dogs.” This is important to connect math and writing, but also helps students check to see if their answer actually answers the question asked in the word problem.

problem solving strategies for grade 2

Launching the word problem routine is all about modeling and routine. It doesn’t take long for students to get the hang of it.

I’ve done the hard work for you – I have 2nd grade word problems for the entire year, ready for you!

There's a better way to teach word problems, and students will be  successful in solving word problems. Teaching word problems in 2nd grade can be easy!

What’s the 2nd grade word problem routine?

On Mondays, I introduce the word problem situation. I find it helpful to have students “act out” the situation. Use the example on the situation poster/anchor chart to show students the pattern. (I teach students that the underlined portions of the number sentence are pieces we know, while the square represents the unknown.)

Model and solve the practice word problem, and provide feedback to students.

There's a better way to teach word problems, and students will be  successful in solving word problems. Teaching word problems in 2nd grade can be easy!

For the next 3 days, we model and solve a word problem that has the same situation as Monday. So we’re not skipping around. This is very systematic.

Finally, on Fridays, students complete 2 word problems on their own following the same situation we’ve used all week.

For differentiation or extension, students can write a word problem on the back of their assessment that follows the same situation they learned that week. This is such a great way to see if students really understand the situation we learned that week.

There's a better way to teach word problems, and students will be  successful in solving word problems. Teaching word problems in 2nd grade can be easy!

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problem solving strategies for grade 2

Problem Solving Activities: 7 Strategies

  • Critical Thinking

problem solving strategies for grade 2

Problem solving can be a daunting aspect of effective mathematics teaching, but it does not have to be! In this post, I share seven strategic ways to integrate problem solving into your everyday math program.

In the middle of our problem solving lesson, my district math coordinator stopped by for a surprise walkthrough. 

I was so excited!

We were in the middle of what I thought was the most brilliant math lesson– teaching my students how to solve problem solving tasks using specific problem solving strategies. 

It was a proud moment for me!

Each week, I presented a new problem solving strategy and the students completed problems that emphasized the strategy. 

Genius right? 

After observing my class, my district coordinator pulled me aside to chat. I was excited to talk to her about my brilliant plan, but she told me I should provide the tasks and let my students come up with ways to solve the problems. Then, as students shared their work, I could revoice the student’s strategies and give them an official name. 

What a crushing blow! Just when I thought I did something special, I find out I did it all wrong. 

I took some time to consider her advice. Once I acknowledged she was right, I was able to make BIG changes to the way I taught problem solving in the classroom. 

When I Finally Saw the Light

To give my students an opportunity to engage in more authentic problem solving which would lead them to use a larger variety of problem solving strategies, I decided to vary the activities and the way I approached problem solving with my students. 

Problem Solving Activities

Here are seven ways to strategically reinforce problem solving skills in your classroom. 

This is an example of seasonal problem solving activities.

Seasonal Problem Solving

Many teachers use word problems as problem solving tasks. Instead, try engaging your students with non-routine tasks that look like word problems but require more than the use of addition, subtraction, multiplication, and division to complete. Seasonal problem solving tasks and daily challenges are a perfect way to celebrate the season and have a little fun too!

Cooperative Problem Solving Tasks

Go cooperative! If you’ve got a few extra minutes, have students work on problem solving tasks in small groups. After working through the task, students create a poster to help explain their solution process and then post their poster around the classroom. Students then complete a gallery walk of the posters in the classroom and provide feedback via sticky notes or during a math talk session.

Notice and Wonder

Before beginning a problem solving task, such as a seasonal problem solving task, conduct a Notice and Wonder session. To do this, ask students what they notice about the problem. Then, ask them what they wonder about the problem. This will give students an opportunity to highlight the unique characteristics and conditions of the problem as they try to make sense of it. 

Want a better experience? Remove the stimulus, or question, and allow students to wonder about the problem. Try it! You’ll gain some great insight into how your students think about a problem.

This is an example of a math starter.

Math Starters

Start your math block with a math starter, critical thinking activities designed to get your students thinking about math and provide opportunities to “sneak” in grade-level content and skills in a fun and engaging way. These tasks are quick, designed to take no more than five minutes, and provide a great way to turn-on your students’ brains. Read more about math starters here ! 

Create your own puzzle box! The puzzle box is a set of puzzles and math challenges I use as fast finisher tasks for my students when they finish an assignment or need an extra challenge. The box can be a file box, file crate, or even a wall chart. It includes a variety of activities so all students can find a challenge that suits their interests and ability level.

Calculators

Use calculators! For some reason, this tool is not one many students get to use frequently; however, it’s important students have a chance to practice using it in the classroom. After all, almost everyone has access to a calculator on their cell phones. There are also some standardized tests that allow students to use them, so it’s important for us to practice using calculators in the classroom. Plus, calculators can be fun learning tools all by themselves!

Three-Act Math Tasks

Use a three-act math task to engage students with a content-focused, real-world problem! These math tasks were created with math modeling in mind– students are presented with a scenario and then given clues and hints to help them solve the problem. There are several sites where you can find these awesome math tasks, including Dan Meyer’s Three-Act Math Tasks and Graham Fletcher’s 3-Acts Lessons . 

Getting the Most from Each of the Problem Solving Activities

When students participate in problem solving activities, it is important to ask guiding, not leading, questions. This provides students with the support necessary to move forward in their thinking and it provides teachers with a more in-depth understanding of student thinking. Selecting an initial question and then analyzing a student’s response tells teachers where to go next. 

Ready to jump in? Grab a free set of problem solving challenges like the ones pictured using the form below. 

Which of the problem solving activities will you try first? Respond in the comments below.

problem solving strategies for grade 2

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problem solving strategies for grade 2

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2 Responses

This is a very cool site. I hope it takes off and is well received by teachers. I work in mathematical problem solving and help prepare pre-service teachers in mathematics.

Thank you, Scott! Best wishes to you and your pre-service teachers this year!

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problem solving strategies for grade 2

Problem-Solving Strategies

October 16, 2019

There are many different ways to solve a math problem, and equipping students with problem-solving strategies is just as important as teaching computation and algorithms. Problem-solving strategies help students visualize the problem or present the given information in a way that can lead them to the solution. Solving word problems using strategies works great as a number talks activity and helps to revise many skills.

Problem-solving strategies

1. create a diagram/picture, 2. guess and check., 3. make a table or a list., 4. logical reasoning., 5. find a pattern, 6. work backward, 1. create a diagram/draw a picture.

Creating a diagram helps students visualize the problem and reach the solution. A diagram can be a picture with labels, or a representation of the problem with objects that can be manipulated. Role-playing and acting out the problem like a story can help get to the solution.

Alice spent 3/4 of her babysitting money on comic books. She is left with $6. How much money did she make from babysitting?

problem solving strategies for grade 2

2. Guess and check

Teach students the same strategy research mathematicians use.

With this strategy, students solve problems by making a reasonable guess depending on the information given. Then they check to see if the answer is correct and they improve it accordingly.  By repeating this process, a student can arrive at a correct answer that has been checked. It is recommended that the students keep a record of their guesses by making a chart, a table or a list. This is a flexible strategy that works for many types of problems. When students are stuck, guessing and checking helps them start and explore the problem. However, there is a trap. Exactly because it is such a simple strategy to use, some students find it difficult to consider other strategies. As problems get more complicated, other strategies become more important and more effective.

Find two numbers that have sum 11 and product 24.

Try/guess  5 and 6  the product is 30 too high

  adjust  to 4 and 7 with product 28 still high

  adjust  again 3 and 8 product 24

3. Make a table or a list

Carefully organize the information on a table or list according to the problem information. It might be a table of numbers, a table with ticks and crosses to solve a logic problem or a list of possible answers. Seeing the given information sorted out on a table or a list will help find patterns and lead to the correct solution.

To make sure you are listing all the information correctly read the problem carefully.

Find the common factors of 24, 30 and 18

problem solving strategies for grade 2

Logical reasoning is the process of using logical, systemic steps to arrive at a conclusion based on given facts and mathematic principles. Read and understand the problem. Then find the information that helps you start solving the problem. Continue with each piece of information and write possible answers.

Thomas, Helen, Bill, and Mary have cats that are black, brown, white, or gray. The cats’ names are Buddy, Lucky, Fifi, and Moo. Buddy is brown. Thoma’s cat, Lucky, is not gray. Helen’s cat is white but is not named Moo. The gray cat belongs to Bill. Which cat belongs to each student, and what is its color?

A table or list is useful in solving logic problems.

Thomas Lucky Not gray, the cat is black
Helen Not Moo, not Buddy, not Lucky so Fifi White  
Bill Moo Gray  
Mary Buddy Brown

Since Lucky is not gray it can be black or brown. However, Buddy is brown so Lucky has to be black.

Buddy is brown so it cannot be Helen’s cat. Helen’s cat cannot be Moo, Buddy or Lucky, so it is Fifi.

Therefore, Moo is Bill’s cat and Buddy is Mary’s cat.

5. Find a pattern.

Finding a pattern is a strategy in which students look for patterns in the given information in order to solve the problem. When the problem consists of data like numbers or events that are repeated then it can be solved using the “find a pattern” problem-solving strategy. Data can be organized in a table or a list to reveal the pattern and help discover the “rule” of the pattern.

 The “rule” can then be used to find the answer to the question and complete the table/list.

Shannon’s Pizzeria made 5 pizzas on Sunday, 10 pizzas on Monday, 20 pizzas on Tuesday, and 40 pizzas on Wednesday. If this pattern continues, how many pizzas will the pizzeria make on Saturday?

Sunday 5
Monday 10
Tuesday 20
Wednesday 40
Thursday  
Friday  
Saturday  

6. Working backward

Problems that can be solved with this strategy are the ones that  list a series of events or a sequence of steps .

In this strategy, the students must start with the solution and work back to the beginning. Each operation must be reversed to get back to the beginning. So if working forwards requires addition, when students work backward they will need to subtract. And if they multiply working forwards, they must divide when working backward.

Mom bought a box of candy. Mary took 5 of them, Nick took 4 of them and 31 were given out on Halloween night. The next morning they found 8 pieces of candy in the box. How many candy pieces were in the box when mom bought it.

For this problem, we know that the final number of candy was 8, so if we work backward to “put back” the candy that was taken from the box we can reach the number of candy pieces that were in the box, to begin with.

The candy was taken away so we will normally subtract them. However, to get back to the original number of candy we need to work backward and do the opposite, which is to add them.

8 candy pieces were left + the 31 given out + plus the ones Mary took + the ones Nick took

8+31+5+4= 48   Answer: The box came with 48 pieces of candy.

Selecting the best strategy for a problem comes with practice and often problems will require the use of more than one strategies.

Print and digital activities

I have created a collection of print and digital activity cards and worksheets with word problems (print and google slides) to solve using the strategies above. The collection includes 70 problems (5 challenge ones) and their solution s and explanations.

sample below

problem solving strategies for grade 2

How to use the activity cards

Allow the students to use manipulatives to solve the problems. (counters, shapes, lego blocks, Cuisenaire blocks, base 10 blocks, clocks) They can use manipulatives to create a picture and visualize the problem. They can use counters for the guess and check strategy. Discuss which strategy/strategies are better for solving each problem. Discuss the different ways. Use the activities as warm-ups, number talks, initiate discussions, group work, challenge, escape rooms, and more.

Ask your students to write their own problems using the problems in this resource, and more, as examples. Start with a simple type. Students learn a lot when trying to compose a problem. They can share the problem with their partner or the whole class. Make a collection of problems to share with another class.

For the google slides the students can use text boxes to explain their thinking with words, add shapes and lines to create diagrams, and add (insert) tables and diagrams.

Many of the problems can be solved faster by using algebraic expressions. However, since I created this resource for grades 4 and up I chose to show simple conceptual ways of solving the problems using the strategies above. You can suggest different ways of solving the problems based on the grade level.

Find the free and premium versions of the resource below. The premium version includes 70 problems (challenge problems included) and their solutions

There are 2 versions of the resource

70 google slides with explanations + 70 printable task cards

70 google slides with explanations + 11 worksheets

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Two-Digit Addition and Subtraction Strategies and Models

Models and Strategies for Two-Digit Addition and Subtraction help students make sense of complicated problems.

Second grade is a very important year where students develop fluency with two-digit addition and subtraction . It is the year that we work on a multitude of addition and subtraction strategies that students can use to solve problems. We spend a lot of time discussing a variety of strategies, using many different models, and doing mental math.

Models & Strategies for Two-Digit Addition & Subtraction is all about 2nd grade math strategies teaching a solid foundation of math concepts (including mental math) for your students. Each model or strategy uses common core standards! Includes number lines, place value, and base-10 strategies for two-digit addition and two-digit subtraction problems.  #secondgrade #mathstandards #mathgames #addition #subtraction #mathactivities #teachingmath #mathstrategies #mathtips

Why? To develop students’ flexibility when solving math problems with addition and subtraction concepts .

So, how do you teach two-digit addition and subtraction and develop flexible thinking using a variety of models and addition and subtraction strategies?

Second Grade Common Core Standards for Two-Digit and Three-Digit Addition and Subtraction

Let’s take a look at the Common Core Standard for two-digit addition & subtraction. This will help us anchor the below discussion.

CCSS.MATH.CONTENT.2.NBT.B.5 Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.

And, the standard for three-digit addition and subtraction, to show where we’re headed:

CCSS.MATH.CONTENT.2.NBT.B.7 Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds.

The Traditional Algorithm for Addition and Subtraction

Nowhere in the above two standards does it say anything about the standard algorithm that we all learned in school (most likely with the language of “carry” and “borrow”), nor is the standard algorithm directly addressed in the Second Grade Common Core Standards. Read to the end to find out how I address the standard algorithm in our classroom.

Are you interested in a free sampler of some of my Two-Digit Addition and Subtraction Products ?

Models & Strategies for Two-Digit Addition & Subtraction is all about 2nd grade math strategies teaching a solid foundation of math concepts (including mental math) for your students. Each model or strategy uses common core standards! Includes number lines, place value, and base-10 strategies for two-digit addition and two-digit subtraction problems.  #secondgrade #mathstandards #mathgames #addition #subtraction #mathactivities #teachingmath #mathstrategies #mathtips

What are the Addition and Subtraction Strategies and How are They Different From Models

If you are familiar with my Addition & Subtraction Word Problems, you may have noticed that I make a big distinction between the strategies used when solving problems and the models students employ with those strategies.

Strategies are usually how students approach and manipulate numbers.

Models are how the strategies are organized on paper so that students can explain or see the strategy.

When looking at the standards above, I can see that the strategies are clearly noted in the standard:

In 2.NBT.B.5  and the strategies are:

  • place value
  • properties of operations
  • relationship between addition and subtraction

Standard 2.NBT.B.7 even notes that the models or drawings (which I also call models) are separate from the strategies that are based on:

As you can see, the strategies are clearly outlined in the standards. Now within each of the above general strategy categories, there really are many different strategies that students can use and you can label them whatever you’d like in your classroom. I like to label them with students’ names as an easy reference. That way, we can refer to Samantha’s strategy when solving a problem. Or you can label the strategy with the action that the student takes in the problem (for example: Add Tens First ).

However, I still make a distinction between the strategy and the model. Why? Because students can use multiple strategies with one model.

There’s no one right way to use the model, as long as the student can explain his or her thinking. The models (or drawings) merely give students a tool to explain their thinking on paper or with manipulatives.

The thinking, or what students do with the numbers, is the strategy. What they use to show it to you is the model.

In all honesty, I’m not always consistent in labeling something a strategy or a model. I try to be, but like you, I’m human and sometimes mix them up, especially when I’m in the moment with students. It’s a learning process and something I’m continually reflecting on throughout the years. All that to say, you may see a few things labeled one way and question its label. Go ahead and question it, think about it, mull it over, and figure out whether it’s accurate. All of this is still new to many of us.

What do students need to know before using these strategies?

The above strategies are very powerful if students can add them to their toolkit when approaching two-digit addition and subtraction. However, to effectively use the above strategies, students need a few things in place.

Addition and Subtraction Facts – Students need pretty good fluency with their addition and subtraction facts. Do they need to have all of them memorized with speed? No. However, if students are spending too much time trying to figure out an addition fact and it’s keeping them from focusing on the strategy because they forget what they were doing, then they need more fluency with their addition and subtraction facts.  My Automaticity Assessments help students practice their facts by strategy.

Ability to find friendly numbers – At the beginning of the year, we spend a long time developing fluency with 10 as a benchmark number . Although we do it at the beginning of the year to help with our math fact fluency, it is also beneficial when students begin their journey with adding and subtracting two-digit numbers. Students need to know how to get to the next friendly number, which is essentially their 10s facts but applying them to two-digit numbers to find the next ten.

Adding 10 to a number – We start our two-digit addition unit with a lot of practice adding and subtracting ten from a number. This is a foundation skill in both my two-digit addition products as well as my two-digit subtraction products . Students must see the pattern of adding 10 to a number.

Place Value – To do two-digit addition, students need a strong foundation in the concept of ones and tens and what it means to break a number apart into ones and tens. From the first day of school, we are doing Daily Math exercises that build fluency with place value as well as skip counting by 10s from any number.

Do I teach the traditional algorithm?

Yes and no. Yes, I teach the concept of regrouping and yes, I do teach students to move toward efficiency when adding and subtracting. That could include the traditional algorithm if they can understand the meaning behind it.

Students do not need to use the standard algorithm until fourth grade ( according to the Common Core Standards ). Can they do it earlier?  Maybe.

I expose them to it in second grade as a model they could use; however, we don’t spend a lot of time focused on it, because I want students to develop strategies for solving problems, not be tied to one model. When we do work with the traditional algorithm, we attach a lot of language and meaning to it, generally tying it to work we’ve already done, like our work with base-10 blocks.

Achor Charts for Two-Digit Addition and Subtraction

Here are some adding and subtracting charts I’ve used over the past couple of years to illustrate some of the models and strategies below.

Models & Strategies for Two-Digit Addition & Subtraction is all about 2nd grade math strategies teaching a solid foundation of math concepts (including mental math) for your students. Each model or strategy uses common core standards! Includes number lines, place value, and base-10 strategies for two-digit addition and two-digit subtraction problems.  #secondgrade #mathstandards #mathgames #addition #subtraction #mathactivities #teachingmath #mathstrategies #mathtips

The above image demonstrates some second-grade math subtraction strategies that I have gone through with students.

Models for Two-Digit Addition and Two-Digit Subtraction

Below are a few models that we use with two-digit addition or subtraction. Are these the only models you can use? No, this is not an exhaustive list.  They are what I have found useful in the classroom for students to practice and use to build conceptual understanding and number sense.

Number Lines for Two-Digit Addition and Subtraction

When I introduce students to paper/pencil models, I usually start with number lines. An open number line is very flexible. Students can make jumps of one or ten (or more) and easily manipulate it to show their mathematical thinking.

I usually help students get to the nearest 10 or friendly or benchmark number when using a number line because it is easier to make jumps of 10. That is an example of the difference between a model and a strategy.  The model is the number line.  The strategy is making jumps of 10.

Teaching how to use number lines when using 10 to add +9 and +8 facts , solidifies this strategy when students are adding larger two-digit numbers.

Remember, the number line is the model and can be used with various strategies. Modeling and practicing using a number line with easier problems will help students when using a number line with more difficult problems.

One of the daily activities that we do with numbers lines is our Daily Math . This is a whiteboard sheet that we go through daily. The number line at the bottom helps students solidify their understanding of both how to use a number line and how “make 100 or make 1000”.

Daily Math reviews important math concepts. Each sheet reviews a variety of number sense and operations helping students build their mathematical thinking. Included are four versions, which we use throughout the year: - Number Sense 0-99 - Number Sense 100 - 1000 - Addition & Subtraction Strategies - Time & Money | Teaching Math | Math Review | Common Core Aligned

Here are a few more examples of how we use number lines in the classroom.

Models & Strategies for Two-Digit Addition & Subtraction is all about 2nd grade math strategies teaching a solid foundation of math concepts (including mental math) for your students. Each model or strategy uses common core standards! Includes number lines, place value, and base-10 strategies for two-digit addition and two-digit subtraction problems.  #secondgrade #mathstandards #mathgames #addition #subtraction #mathactivities #teachingmath #mathstrategies #mathtips

This is from my Roll & Spin Math Stations .  In this activity, students practice making jumps of 10 and 100 up a number line.  

Roll and Spin Math Games that focus on developing number sense for two-digit and three-digit addition. The activities help students develop competencies with using a number line and other place value strategies when adding two-digit and three-digit numbers. Includes 10 & 100 More & Fewer, Number Line Jumps, and Find a Pattern. #secondgrademath #numberlines #two-digitaddition #three-digitaddition

There are also versions where students subtract 10 and 100 down a number line, too.  One of the skills students need to be successful on number lines is the ability to make jumps of 10 and 100.

Models & Strategies for Two-Digit Addition & Subtraction is all about 2nd grade math strategies teaching a solid foundation of math concepts (including mental math) for your students. Each model or strategy uses common core standards! Includes number lines, place value, and base-10 strategies for two-digit addition and two-digit subtraction problems.  #secondgrade #mathstandards #mathgames #addition #subtraction #mathactivities #teachingmath #mathstrategies #mathtips

This is an example from one of our Addition & Subtraction Word Problems where students had to figure out a separate start unknown problem.  This student started at 15 and counted 35 jumps and then took one away at the end.  This is also a great example of compensation (see below) because the student added one to the 34 to make easier jumps and then took it away at the end.

Models & Strategies for Two-Digit Addition & Subtraction is all about 2nd grade math strategies teaching a solid foundation of math concepts (including mental math) for your students. Each model or strategy uses common core standards! Includes number lines, place value, and base-10 strategies for two-digit addition and two-digit subtraction problems.  #secondgrade #mathstandards #mathgames #addition #subtraction #mathactivities #teachingmath #mathstrategies #mathtips

This is from my Second Grade Cut & Paste Math Activities .  In this activity, students are practicing how to add up, starting at the smallest number and figuring out who to get to the larger number by jumping to the friendly numbers.  This student started at 19, jumped to 20, then made jumps of 10 to 60, and made a jump of 3.  The student added their jumps together to get 44.

These Two-Digit Addition Math Stations help students use models and addition strategies such as a number line, breaking apart the addends, and base-10 blocks. They are easy to print, laminate, and cut apart and last year after year. This set has students use an open number line to add tens.

The above are a few examples from my Two-Digit Addition Math Stations .  My students needed more direct practice with number lines and making jumps, despite all of our whole group practice.  So, I gave them the directions and students followed them on the number lines.

Two digit addition, task cards cover.

A more recent resource that I developed to help students develop number fluency is the Make 100 and Make 1000 resource. This resource has MANY activities where students practice making 100 and making 1000. Number lines are one of the activities.

In first grade, students work on Making 10. In second grade, do you teach your students to make 100? My second-grade students need a lot of work with number sense and place value strategies, especially when it comes to using number lines, base-10 blocks, and learning how to “jump” to the nearest friendly number. These Make 100 and Make 1000 resources will help students' mental math strategies. #mentalmath #two-digitaddition #numberline #secondgrademath #secondgrade

I also have a whole blog post on how to use a number line with even more examples of how to develop number line fluency in the classroom.

Develop two-Digit addition and subtract strategies as well as place value strategies by helping students make jumps on a number line. Students can explain their thinking by using a number to explain their thinking. Number lines are a great way to illustrate mental math strategies. I love how this student checked his work by using place-value strategies to add the 34 + 15. What a great way to illustrate their thinking.

Base-10 Blocks Models for Two-Digit Addition and Subtraction

Base-10 blocks are another model I teach students to use; however, I generally teach students to draw the base-10 blocks. We do use real foam blocks in class, but I try to move away from them as quickly as possible.

Why? Students will always have pencils and paper to solve problems, but they won’t always have manipulatives available to them. Using base-10 blocks also takes a lot of time. I don’t mind spending the time on them, for students who need them, but I also want to push students toward more efficient tools.

Here are a few examples of how we use base-10 blocks:

Models & Strategies for Two-Digit Addition & Subtraction is all about 2nd grade math strategies teaching a solid foundation of math concepts (including mental math) for your students. Each model or strategy uses common core standards! Includes number lines, place value, and base-10 strategies for two-digit addition and two-digit subtraction problems.  #secondgrade #mathstandards #mathgames #addition #subtraction #mathactivities #teachingmath #mathstrategies #mathtips

The above two are using base-10 blocks by drawing out the tens as “sticks” as we refer to them in our classroom.  These particular students were having difficulty counting over 100 by tens, so I had them draw each number in tens, then count by tens until they got to 100, then start over counting by 10s again.  Not only did this help them add up numbers beyond 100, but it also gave them more expense with our base-10 number system.

Models & Strategies for Two-Digit Addition & Subtraction is all about 2nd grade math strategies teaching a solid foundation of math concepts (including mental math) for your students. Each model or strategy uses common core standards! Includes number lines, place value, and base-10 strategies for two-digit addition and two-digit subtraction problems.  #secondgrade #mathstandards #mathgames #addition #subtraction #mathactivities #teachingmath #mathstrategies #mathtips

The above example is from my Two-Digit Addition Math Stations again and is just a basic problem – answer matching with base-10 block representations.

Two-Digit Subtraction Games and Activities.134

The Number Line blog post also has an interesting visual activity to help students transition from base-10 blocks to number lines.

Math Strategies for Two-Digit Addition and Subtraction

As noted above, the main three addition and subtraction strategies stated in the standards are:

Below are a few strategies that we use to solve two-digit addition problems. Most of them are based on place value strategies as I find those tend to be easier for students to understand and apply. Again, these are how students manipulate the numbers in the problem to make it easier to solve.

Keep in mind that no one strategy is the “right” strategy for every student for every problem. Some problems lend themselves to certain strategies because of the numbers. Students may also switch between strategies within the same problem, depending on how they’re manipulating the numbers. The key thing to consider is if the student can explain his or her thinking when solving a problem.

Break Apart or Ungroup (Place Value)

This strategy requires a bit more mental math practice, but it can be so powerful. The basic idea is that the number is broken apart into tens and ones and then, either using a number line, base-10 blocks, or just numbers, students manipulate the pieces to add or subtract the numbers.

Breaking the number part or ungrouping it helps students see the value of place value. The tens place is not just 4. Its value is 40 or 4 tens.

One resource that helps develop this strategy is the Number Talks book  ( affiliate link ).  We do number talks throughout the year, starting with addition facts and moving into two-digit addition and subtraction by the end of the year. I love seeing the strategies that my students can come up with! The Number Talk book is also a great book that helps develop listening skills.

Think about problem 64-47. Students break apart the problem into 50+14-7-40 and take away the parts by place value. I’d probably start with the 14-7, but students could start anywhere that makes sense for them.

These Two-Digit Addition Math Stations help students use models and addition strategies such as a number line, breaking apart the addends, and base-10 blocks. They are easy to print, laminate, and cut apart and last year after year. This photo has students break apart the addends to add.

The above examples come from my Two-Digit Addition Math Stations and illustrate how students can break apart numbers and add up each place value.  Breaking apart is also called ungrouping or decomposing, depending on the math program you use.

Did you notice that in one of the problems above, the student added 60 +40 and got 106, yet he wrote the correct answer to the problem?  What do you think was going on with this student?  Do you then he couldn’t add 60+40, made a silly mistake, or is there another reason he wrote the 106?  Seeing students interact with these types of strategies will give you a place to start conversations with them about their mathematical thinking and the errors within their computation.

Models & Strategies for Two-Digit Addition & Subtraction is all about 2nd grade math strategies teaching a solid foundation of math concepts (including mental math) for your students. Each model or strategy uses common core standards! Includes number lines, place value, and base-10 strategies for two-digit addition and two-digit subtraction problems.  #secondgrade #mathstandards #mathgames #addition #subtraction #mathactivities #teachingmath #mathstrategies #mathtips

One more example from some Addition Task Cards where students only break apart the second number and then make jumps of 10 and 1 using 100s and 1000s charts.  Although we give plenty of practice using a 100s chart in first grade, I find that students don’t necessarily transfer their learning to larger numbers in second grade.

Addition Task Cards

Add Tens to Tens and Ones to Ones (Place Value)

This is very similar to the break part strategies, except without breaking apart the numbers. Students can add the parts of the number (the tens or the ones) together mentally because they know their addition facts. We basically use a v-model to draw lines connecting the tens and add or subtract those parts.

Here is one example of how we’ve used it in the classroom:

Models & Strategies for Two-Digit Addition & Subtraction is all about 2nd grade math strategies teaching a solid foundation of math concepts (including mental math) for your students. Each model or strategy uses common core standards! Includes number lines, place value, and base-10 strategies for two-digit addition and two-digit subtraction problems.  #secondgrade #mathstandards #mathgames #addition #subtraction #mathactivities #teachingmath #mathstrategies #mathtips

Subtract Tens, Subtract Ones (Place Value)

Similar to adding tens to tens and ones to ones, students subtract each place value separately and then subtract the ones from the tens (or add it). There are basically two ways to use this strategy. Students can decompose the ten or students can use negative numbers.

One way that I use this strategy with students is with negative numbers. I know we don’t teach negative numbers in second grade, but for some students, this is really a way that they understand and can hold onto more than the other strategies.  You can see examples of this in the second and third anchor charts above.

Think about 64-47. If I subtract 4-7, I get -3. I tell students that the bigger number has the minus sign in front of it and so it still has more that needs to be taken away. Students then subtract 60-40, get 20 and subtract there more to get 17.

Count Down / Think Addition (Count Up) / Add Up (Relationship between Addition & Subtraction or Place Value)

I’m not exactly sure whether this strategy is about the relationship between addition and subtraction or place value. The Think Addition Strategy is similar (if not the same as) Count Up or Add Up. This strategy is also very similar to the Break Apart Strategy, in that students need to break at least one of the numbers apart to sound up or down by the parts of the number.

Although students can count by ones, I highly encourage you to help them move toward more efficient strategies and count by tens and then ones. Using a hundred chart gives students practice moving by 10s up and down the chart. A hundred chart is sort of like a compressed number line.  See the above photo with the 100s and 1000s charts.

Here are a few examples of counting up:

Models & Strategies for Two-Digit Addition & Subtraction is all about 2nd grade math strategies teaching a solid foundation of math concepts (including mental math) for your students. Each model or strategy uses common core standards! Includes number lines, place value, and base-10 strategies for two-digit addition and two-digit subtraction problems.  #secondgrade #mathstandards #mathgames #addition #subtraction #mathactivities #teachingmath #mathstrategies #mathtips

The above two examples are just ones we did on the whiteboard and I had students write them down in their notebooks.

The following image is a page from my Two-Digit Subtraction Flap Books .  These Flap Books go through several different models and strategies and give students practice with vocabulary and explaining their thinking.

Models & Strategies for Two-Digit Addition & Subtraction is all about 2nd grade math strategies teaching a solid foundation of math concepts (including mental math) for your students. Each model or strategy uses common core standards! Includes number lines, place value, and base-10 strategies for two-digit addition and two-digit subtraction problems.  #secondgrade #mathstandards #mathgames #addition #subtraction #mathactivities #teachingmath #mathstrategies #mathtips

The thing I LOVE about these flap books is that students can dive deep into one aspect of two-digit subtraction and attach language to the numbers and processes that they use.

Here is an anchor chart that we created to explain the Count Up Strategy for subtraction.

Models & Strategies for Two-Digit Addition & Subtraction is all about 2nd grade math strategies teaching a solid foundation of math concepts (including mental math) for your students. Each model or strategy uses common core standards! Includes number lines, place value, and base-10 strategies for two-digit addition and two-digit subtraction problems.  #secondgrade #mathstandards #mathgames #addition #subtraction #mathactivities #teachingmath #mathstrategies #mathtips

Use Compensation (Properties of Operations)

This last strategy is unlike any of the previous ones. It basically has students make sure that the numbers are balanced within the problem and that they’re accounting for all of the parts. It’s a precursor to algebra and a great strategy for mental math.

There are a couple of different ways to use compensation, but the basic idea is that you add or subtract some of one number and add it to the other number to create a friendly number. You have to keep track of what was added or taken away and account for it somehow in the problem.

Compensation is especially useful for numbers that are close to friendly numbers, although it can be used for any number. For example, 68 – 39 could be transformed into 69 – 40. I’ve added one to each number. The value of +1 and -1 is 0, so I haven’t changed the problem at all.

Here’s another example: 53 + 38. I might add 53 + 40 and get 93, but because I added two to the 38 to get to 40, I’ll need to subtract two from 93 to get 91.

The basic idea with compensation is that you are adjusting one part of the number into a friendly number to make it easier to add or subtract. However, when you adjust one number, you have to keep track of what you’ve adjusted and compensate for it.

The Traditional Algorithm

As I mentioned above, I do give students experience with the traditional algorithm. However, I make sure we tie those experiences to known strategies, models, and language. The algorithm is not taught in isolation.

Here are a few examples of how I give students experience with the traditional algorithm.

Models & Strategies for Two-Digit Addition & Subtraction is all about 2nd grade math strategies teaching a solid foundation of math concepts (including mental math) for your students. Each model or strategy uses common core standards! Includes number lines, place value, and base-10 strategies for two-digit addition and two-digit subtraction problems.  #secondgrade #mathstandards #mathgames #addition #subtraction #mathactivities #teachingmath #mathstrategies #mathtips

Did you notice that should say 7 tens and 11 ones?  The student didn’t pay attention to the base-10 blocks!

Models & Strategies for Two-Digit Addition & Subtraction is all about 2nd grade math strategies teaching a solid foundation of math concepts (including mental math) for your students. Each model or strategy uses common core standards! Includes number lines, place value, and base-10 strategies for two-digit addition and two-digit subtraction problems.  #secondgrade #mathstandards #mathgames #addition #subtraction #mathactivities #teachingmath #mathstrategies #mathtips

These come from my Decompose a Ten packet, which balances working with the traditional algorithm with base-10 models and gives students the language of decomposing numbers.

Decompose a Ten

Whew – that’s a lot of information to digest! There are many different models and strategies a student can use to solve two-digit addition and subtraction problems. What I outlined above are a few that I have found especially helpful for students. They help students develop a solid foundation with two-digit addition and subtraction, create a bridge to three-digit addition and subtraction, as well as emphasize the idea of using strategies and models to solve problems, not just following steps in a process.

If you teach second grade, you might like a few pages from some of my two-digit addition and subtraction products. I’ve compiled this PDF of resources as a sampler from several different products that really emphasize all the work we do in our classroom to develop these strategies in depth.

Different components of the sampler can be used in whole groups or small groups and are perfect for helping your students think outside the box when it comes to solving multi-digit addition and subtraction.

Models & Strategies for Two-Digit Addition & Subtraction is all about 2nd grade math strategies teaching a solid foundation of math concepts (including mental math) for your students. Each model or strategy uses common core standards! Includes number lines, place value, and base-10 strategies for two-digit addition and two-digit subtraction problems.  #secondgrade #mathstandards #mathgames #addition #subtraction #mathactivities #teachingmath #mathstrategies #mathtips

Two-Digit Resources Mentioned Above

Here is a list with links to all of the two-digit addition and subtraction resources mentioned above.  They can be purchased on my website or on Teachers Pay Teachers .

  • Roll and Spin Math Stations
  • Cut and Paste Math Activities for Second Grade  ( TpT )
  • Two-Digit Addition Math Centers  ( TpT )
  • Two-Digit Subtraction Math Centers  ( TpT )
  • Addition Task Cards Using 100s Charts  ( TpT )
  • Two-Digit Subtraction Flap Books  ( TpT )
  • Decompose a Ten Task Cards  ( TpT )

Many of the above are also included in a Two-Digit Addition and Subtraction BUNDLE  ( TpT ).

Additional Two-Digit Addition & Subtraction Resources

  • Two-Digit Addition Number Puzzles ( TpT )
  • Two-Digit Subtraction Number Puzzles  ( TpT )
  • Decompose Two-Digit Numbers Number Puzzles  ( TpT )
  • Two-Digit Addition No Prep Printables / Worksheets ( TpT )
  • Two-Digit Subtraction No Prep Printables / Worksheets

Two digit addition covers worksheet.

This entire blog has made my life easier. I am a student teacher to second graders and I have been having a difficult time figuring out how to teach my students double digit addition and subtraction with and without regrouping. A lot of kids this year have a weak number sense and I know that is contributing to their struggle. Your booklets and packets have made their struggle nearly disappear.

Is awesome to me as well and i think it will really help my students as well

Hello, I’m curious what math program you are working with? We have just adopted EverydayMath and much of your approach reminds me of that program – but is more friendly! Thanks for your reply.

After Common Core came out we were in transition and didn’t really use one math program, but a variety of resources that meet the standards. These resources are not based on any program, but processes students can use with any program.

OMG!. Thank you so much for putting this together, and making it visible. I am a parent of a 4th grader who is still struggling with understanding this material. I’ve seen many worksheets sent home with a combination of strategies this is the first time, I’ve understood how they are all connected. I love your simple explanations, breakdown of the standards, and real-world examples. I bet you are an AMAZING teacher, and truly, truly, appreciate you.

Great explanation for some of us parents that feel kind of lost like my self right now. I grow up with other math methods, and I feel frustrated that my 2nd grader comes home with different types of strategies that I don’t know. But Thankfully, searching on the web I came along with this amazing page that really explains all those strategies that new generations are learning today. Thank you so much for this strategies, it is well appreciated from myself and I bet many parents out there. I can tell you are an amazing teacher. Thanks a lot!

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problem solving strategies for grade 2

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  • Math Tips, Tricks, and Games

4 Tips for Solving 2nd Grade Math Word Problems

problem solving strategies for grade 2

Last Updated on August 31, 2021 by Thinkster

Math word problems are challenging for students at any age, but particularly for second graders who have barely mastered their reading skills. Becoming proficient in math word problems is crucial in 2nd grade because it sets children up for success in the grades to come. Fortunately, math word problems at this age are less complex than the ones they will see in later years, so you can implement the following common strategies to help your child become an expert . Here are some tips to help with these math problems.

1. Read the problem aloud

Because students this age read at varied levels, not every second-grader will fully understand a word problem on his first pass through. Reading the problem aloud can be quite helpful, especially with a child who hasn’t completely mastered reading. Of course, there will be times when a student won’t be allowed to speak (for example, during tests), but when at home working on word problems, encourage your child to read the story aloud and actually hear what the problem is asking. And for tests, even mouthing the words silently will give a student a better mental image of the problem.

2. Circle the numbers

Ultimately, every word problem will include the numbers necessary to arrive at an answer. Students should circle these numbers so they are easier to find during the solving process. If a number is spelled out, kids can circle the words and write the numeral above or near it so she is just dealing with digits. Once she devises a strategy to solve the problem, the numbers are already standing out for her to insert into whichever operation she’s using.

3. Look for keywords

Certain words give clues to what operation is being asked for, and second-grade math word problems are no exception. For example, total, sum, together , and how many all suggest addition; difference, how many more, take away , and fewer all point to subtraction. As your child learns these keywords and spots them in word problems, she will be able to arrive at a solution strategy more quickly.

4. Draw it out

If the structure and information of a word problem are too confusing, illustrating the problem in her own terms may help your child figure out the math and come up with an answer. Bar graphs, pie charts, tally marks, or whatever works for a particular student can do wonders toward solving a word problem. Even just writing out the numbers from the text again can help establish her own space and parameters that will make a solution easier to reach.

Do 2nd grade math word problems confuse your child? Check out our Thinkster math worksheets for some extra practice to help your child master math word problems .

4 Common Strategies for Solving 2nd Grade Math Word Problems

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14 Effective Ways to Help Your Students Conquer Math Word Problems

If a train leaving Minneapolis is traveling at 87 miles an hour…

Word Problems WeAreTeachers

Word problems can be tricky for a lot of students, but they’re incredibly important to master. After all, in the real world, most math is in the form of word problems. “If one gallon of paint covers 400 square feet, and my wall measures 34 feet by 8 feet, how many gallons do I need?” “This sweater costs $135, but it’s on sale for 35% off. So how much is that?” Here are the best teacher-tested ideas for helping kids get a handle on these problems.

1. Solve word problems regularly

problem solving strategies for grade 2

This might be the most important tip of all. Word problems should be part of everyday math practice, especially for older kids. Whenever possible, use word problems every time you teach a new math skill. Even better: give students a daily word problem to solve so they’ll get comfortable with the process.

Learn more: Teaching With Jennifer Findlay

2. Teach problem-solving routines

Word Problems Teacher Trap

There are a LOT of strategies out there for teaching kids how to solve word problems (keep reading to see some terrific examples). The important thing to remember is that what works for one student may not work for another. So introduce a basic routine like Plan-Solve-Check that every kid can use every time. You can expand on the Plan and Solve steps in a variety of ways, but this basic 3-step process ensures kids slow down and take their time.

Learn more: Word Problems Made Easy

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3. Visualize or model the problem

problem solving strategies for grade 2

Encourage students to think of word problems as an actual story or scenario. Try acting the problem out if possible, and draw pictures, diagrams, or models. Learn more about this method and get free printable templates at the link.

Learn more: Math Geek Mama

4. Make sure they identify the actual question

problem solving strategies for grade 2

Educator Robert Kaplinsky asked 32 eighth grade students to answer this nonsensical word problem. Only 25% of them realized they didn’t have the right information to answer the actual question; the other 75% gave a variety of numerical answers that involved adding, subtracting, or dividing the two numbers. That tells us kids really need to be trained to identify the actual question being asked before they proceed. 

Learn more: Robert Kaplinsky

5. Remove the numbers

problem solving strategies for grade 2

It seems counterintuitive … math without numbers? But this word problem strategy really forces kids to slow down and examine the problem itself, without focusing on numbers at first. If the numbers were removed from the sheep/shepherd problem above, students would have no choice but to slow down and read more carefully, rather than plowing ahead without thinking. 

Learn more: Where the Magic Happens Teaching

6. Try the CUBES method

problem solving strategies for grade 2

This is a tried-and-true method for teaching word problems, and it’s really effective for kids who are prone to working too fast and missing details. By taking the time to circle, box, and underline important information, students are more likely to find the correct answer to the question actually being asked.

Learn more: Teaching With a Mountain View

7. Show word problems the LOVE

Word Problems Jennifer Findlay

Here’s another fun acronym for tackling word problems: LOVE. Using this method, kids Label numbers and other key info, then explain Our thinking by writing the equation as a sentence. They use Visuals or models to help plan and list any and all Equations they’ll use. 

8. Consider teaching word problem key words

problem solving strategies for grade 2

This is one of those methods that some teachers love and others hate. Those who like it feel it offers kids a simple tool for making sense of words and how they relate to math. Others feel it’s outdated, and prefer to teach word problems using context and situations instead (see below). You might just consider this one more trick to keep in your toolbox for students who need it.

Learn more: Book Units Teacher

9. Determine the operation for the situation

problem solving strategies for grade 2

Instead of (or in addition to) key words, have kids really analyze the situation presented to determine the right operation(s) to use. Some key words, like “total,” can be pretty vague. It’s worth taking the time to dig deeper into what the problem is really asking. Get a free printable chart and learn how to use this method at the link.

Learn more: Solving Word Problems With Jennifer Findlay

10. Differentiate word problems to build skills

problem solving strategies for grade 2

Sometimes students get so distracted by numbers that look big or scary that they give up right off the bat. For those cases, try working your way up to the skill at hand. For instance, instead of jumping right to subtracting 4 digit numbers, make the numbers smaller to start. Each successive problem can be a little more difficult, but kids will see they can use the same method regardless of the numbers themselves.

Learn more: Differentiating Math 

11. Ensure they can justify their answers

problem solving strategies for grade 2

One of the quickest ways to find mistakes is to look closely at your answer and ensure it makes sense. If students can explain how they came to their conclusion, they’re much more likely to get the answer right. That’s why teachers have been asking students to “show their work” for decades now.

Learn more: Madly Learning

12. Write the answer in a sentence

problem solving strategies for grade 2

When you think about it, this one makes so much sense. Word problems are presented in complete sentences, so the answers should be too. This helps students make certain they’re actually answering the question being asked… part of justifying their answer.

Learn more: Multi-Step Word Problems

13. Add rigor to your word problems

problem solving strategies for grade 2

A smart way to help kids conquer word problems is to, well… give them better problems to conquer. A rich math word problem is accessible and feels real to students, like something that matters. It should allow for different ways to solve it and be open for discussion. A series of problems should be varied, using different operations and situations when possible, and even include multiple steps. Visit both of the links below for excellent tips on adding rigor to your math word problems.

Learn more: The Routty Math Teacher and Alyssa Teaches

14. Use a problem-solving rounds activity.

Word Problems Teacher Trap 3

Put all those word problem strategies and skills together with this whole-class activity. Start by reading the problem as a group and sharing important information. Then, have students work with a partner to plan how they’ll solve it. In round three, kids use those plans to solve the problem individually. Finally, they share their answer and methods with their partner and the class. Be sure to recognize and respect all problem-solving strategies that lead to the correct answer.

Learn more: Teacher Trap

Like these word problem tips and tricks? Learn more about Why It’s Important to Honor All Math Strategies .

Plus, 60+ Awesome Websites For Teaching and Learning Math .

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Second graders practice problem solving strategies. In this problem solving lesson, 2nd graders use strategies such as guess and check, acting out, drawing pictures and looking for patterns to solve problems. Students work in groups to solve problems using buttons. Students make lists of attributes and compare with other groups.

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Grade 2: Word Problems

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Addition Word Problems

Solve 'Count On' Word Problems Game

Solve 'Count On' Word Problems Game

Take the first step towards building your math castle by solving 'Count On' word problems.

Represent 'Add To' Word Problems Game

Represent 'Add To' Word Problems Game

Take a deep dive into the world of math with our 'Represent 'Add To' Word Problems' game.

Find the Sum Using Part-Part-Whole Model Worksheet

Find the Sum Using Part-Part-Whole Model Worksheet

Combine math learning with adventure by solving to find the sum using 'Part-Part-Whole' model.

Write Equations Using Part-Part-Whole Model Worksheet

Write Equations Using Part-Part-Whole Model Worksheet

Learn number sense at the speed of lightning by writing equations using 'Part-Part-Whole' model.

Subtraction Word Problems

Word Problems to Subtract Multiples of 10 Game

Word Problems to Subtract Multiples of 10 Game

Help your child take flight by learning how to solve word problems to subtract multiples of 10.

Solve Word Problems on Take From Scenarios Game

Solve Word Problems on Take From Scenarios Game

Enjoy the marvel of math-multiverse by learning to solve word problems on "Take From" scenarios.

Identify the Correct Expression for the Subtraction Scenario - Worksheet

Identify the Correct Expression for the Subtraction Scenario Worksheet

Enhance subtraction skills with this worksheet on comparing word problems effectively.

Identify the Correct Subtraction Scenario - Worksheet

Identify the Correct Subtraction Scenario Worksheet

Improve subtraction skills with this worksheet on comparing word problem scenarios.

All Word Problems Resources

Solve Word Problems on Adding Three Numbers Game

Solve Word Problems on Adding Three Numbers Game

Learn to solve word problems on adding three numbers through this game.

Complete the Model Using Clues Worksheet

Complete the Model Using Clues Worksheet

Assess your math skills by completing the model using clues in this worksheet.

Write the Equation using Clues Worksheet

Write the Equation using Clues Worksheet

Be on your way to become a mathematician by practicing to write the equation using clues.

Solve Subtraction Word Problems Game

Solve Subtraction Word Problems Game

Enjoy the marvel of mathematics by exploring how to solve subtraction word problems.

Identify the Correct Expression for the Addition Scenario - Worksheet

Identify the Correct Expression for the Addition Scenario Worksheet

Boost addition skills with this worksheet on comparing word problems to find the correct expression.

Select the Correct Equation for Subtraction Scenarios - Worksheet

Select the Correct Equation for Subtraction Scenarios Worksheet

Boost subtraction skills with this engaging worksheet on comparing word problems!

Represent 'Put Together' Word Problems Game

Represent 'Put Together' Word Problems Game

Unearth the wisdom of mathematics by learning how to represent 'Put Together' word problems.

Represent How Many More Scenarios Game

Represent How Many More Scenarios Game

Shine bright in the math world by learning how to represent "How Many More" scenarios.

Identify the Correct Addition Scenario - Worksheet

Identify the Correct Addition Scenario Worksheet

Boost your child's skills with this worksheet on comparing word problems using addition scenarios.

Subtract Using Part-Part-Whole Model Worksheet

Subtract Using Part-Part-Whole Model Worksheet

Combine math learning with adventure by solving to subtract using 'Part-Part-Whole' model.

Addition Word Problems on Put-Together Scenarios Game

Addition Word Problems on Put-Together Scenarios Game

Use your skills to solve addition word problems on put-together scenarios.

Solve How Many More Word Problems Game

Solve How Many More Word Problems Game

Enter the madness of math-multiverse by exploring how to solve "How Many More" word problems.

Select the Correct Equation for Addition Scenarios - Worksheet

Select the Correct Equation for Addition Scenarios Worksheet

Boost addition skills with this worksheet on choosing the correct equation for word problems.

Solve Using Part-Part-Whole Model Worksheet

Solve Using Part-Part-Whole Model Worksheet

Learn subtraction at the speed of lightning by practicing to solve using 'Part-Part-Whole' model.

Represent 'Add To' Situations Game

Represent 'Add To' Situations Game

Dive deep into the world of addition with our 'Represent 'Add To' Situations' game.

Solve How Many Fewer Word Problems Game

Solve How Many Fewer Word Problems Game

Enjoy the marvel of mathematics by exploring how to solve "How Many Fewer" word problems.

Complete the Part-Part-Whole Model Worksheet

Complete the Part-Part-Whole Model Worksheet

Learners must complete the 'Part-Part-Whole' model to enhance their math skills.

Represent 'Put Together' Situations Game

Represent 'Put Together' Situations Game

Add more arrows to your child’s math quiver by representing 'Put Together' situations.

Solve Difference Unknown Scenarios Game

Solve Difference Unknown Scenarios Game

Kids must solve difference unknown scenarios to practice subtraction.

Part-Part-Whole Model Worksheet

Part-Part-Whole Model Worksheet

In this worksheet, learners will get to practice the 'Part-Part-Whole' model.

Word Problems to Add Multiples of 10 Game

Word Problems to Add Multiples of 10 Game

Learn to solve word problems to add multiples of 10.

Solve Scenarios with 'Difference Unknown' Game

Solve Scenarios with 'Difference Unknown' Game

Shine bright in the math world by learning how to solve scenarios with 'Difference Unknown'.

Solve Addition Word Problems Worksheet

Solve Addition Word Problems Worksheet

Assess your math skills by solving addition word problems in this worksheet.

Write Subtraction Equation using Clues Worksheet

Write Subtraction Equation using Clues Worksheet

Assess your math skills by writing subtraction equations using clues.

Word Problems to Add Tens to a 2-digit number Game

Word Problems to Add Tens to a 2-digit number Game

Make math learning fun by solving word problems to add tens to a 2-digit number.

Solve Word Problems on Add to Scenarios Game

Solve Word Problems on Add to Scenarios Game

Ask your little one to solve word problems on "Add to" scenarios to play this game.

Part-Part-Whole Model Problems Worksheet

Part-Part-Whole Model Problems Worksheet

Print this worksheet to practice 'Part-Part-Whole' model problems like a math legend!

Solve Subtraction Word Problems Worksheet

Solve Subtraction Word Problems Worksheet

Assess your math skills by solving subtraction word problems in this worksheet.

Solve Word Problems on Put together Scenarios Game

Solve Word Problems on Put together Scenarios Game

Practice the superpower of addition by learning to solve word problems on "Put together" scenarios.

Solve Word Problems with Add to Scenarios Game

Solve Word Problems with Add to Scenarios Game

Shine bright in the math world by learning how to solve word problems with "Add to" scenarios.

Represent the Given Situation as Addition Sentence Worksheet

Represent the Given Situation as Addition Sentence Worksheet

Learners must represent the given situation as an addition sentence to enhance their math skills.

Identify Clues to Solve the Word Problems Worksheet

Identify Clues to Solve the Word Problems Worksheet

Reveal the secrets of math wizardry by identifying clues to solve word problems.

Solve Addition Problems Using Bar Model Worksheet

Solve Addition Problems Using Bar Model Worksheet

Dive into this fun-filled worksheet by practicing to solve addition problems using bar models.

Story Problems on Comparison Worksheet

Story Problems on Comparison Worksheet

Print this worksheet to practice story problems on comparison like a math legend!

Use Bar Model to Solve Addition Story Problems Worksheet

Use Bar Model to Solve Addition Story Problems Worksheet

Dive into this fun-filled printable worksheet by using bar models to solve addition story problems.

Real-Life Scenarios as Subtraction Sentence Worksheet

Real-Life Scenarios as Subtraction Sentence Worksheet

In this worksheet, learners will get to practice real-life scenarios as subtraction sentences.

Creating Addition Story Problems Worksheet

Creating Addition Story Problems Worksheet

Help your child revise addition by creating addition story problems.

Solve Subtraction Problems Using Bar Model Worksheet

Solve Subtraction Problems Using Bar Model Worksheet

Combine math learning with adventure by solving subtraction problems using bar models.

Make a Model to Represent the Problem Worksheet

Make a Model to Represent the Problem Worksheet

Reveal the secrets of math wizardry by practicing to make a model to represent the given problem.

Solving Story Problems on Subtraction Worksheet

Solving Story Problems on Subtraction Worksheet

Learn subtraction at the speed of lightning by solving story problems on subtraction.

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Word Problems Teaching Resources for 2nd Grade

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Go to Addition and Subtraction Problem Solving Task Cards teaching resource

Addition and Subtraction Problem Solving Task Cards

Practice solving 1- and 2-step word problems by adding and subtracting 2-digit numbers with this set of 16 task cards.

Go to Multi-Step Addition and Subtraction Word Problem Task Cards teaching resource

Multi-Step Addition and Subtraction Word Problem Task Cards

Solve multi-step addition and subtraction word problems with a set of printable math task cards.

Go to Problem Solving Mat teaching resource

Problem Solving Mat

A problem solving mat to help guide students when solving word problems.

Go to Division with Models Worksheet teaching resource

Division with Models Worksheet

Complete 8 division word problems by representing dividends as numbers, pictures, and number sentences.

Go to Math Keywords for Problem Solving teaching resource

Math Keywords for Problem Solving

Help your students decipher math word problems with a set of printable math keyword anchor charts.

Go to Math Word Problem Match-Up Game - Basic Multiplication and Division teaching resource

Math Word Problem Match-Up Game - Basic Multiplication and Division

Practice reading, writing, and solving basic multiplication and division word problems with a matching activity.

Go to 10 Problem Solving Strategies Posters teaching resource

10 Problem Solving Strategies Posters

Boost problem solving skills and remind your students to use their strategies with our Problem Solving Strategy Posters.

Go to Daily Problem-Solving - Multi-Step Word Problems (2-3) teaching resource

Daily Problem-Solving - Multi-Step Word Problems (2-3)

Boost your students’ problem-solving skills with rigorous daily review of multi-step word problems for 2nd and 3rd grade.

Go to Multiplication and Division - Which Operation Is It?  –  Interactive PowerPoint teaching resource

Multiplication and Division - Which Operation Is It? – Interactive PowerPoint

An interactive 64-slide PowerPoint to use when learning to solve multiplication and division word problems.

Go to Addition and Subtraction Word Problems - Match Game teaching resource

Addition and Subtraction Word Problems - Match Game

Practice reading, modeling, and solving addition and subtraction word problems with a matching activity.

Go to Football Tarsia Puzzle - 2 Digit Addition teaching resource

Football Tarsia Puzzle - 2 Digit Addition

Print and assemble a football-themed tarsia puzzle to use when practicing two-digit addition skills.

Go to Basic Multiplication and Division Word Problem Task Cards teaching resource

Basic Multiplication and Division Word Problem Task Cards

21 word problem task cards to use when learning to differentiate between and model multiplication and division situations.

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Addition and Subtraction Word Problem Task Cards (Numbers 1-50)

Use a range of addition and subtraction strategies to solve twenty word problems that contain numbers 1–50.

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Math Brain Teasers – Grade 2 Word Problems

Challenge your second-grade students to solve these brain teasers with a set of 24 math word problems.

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Length Word Problems - 2nd Grade Math Worksheet

Help your students relate addition and subtraction with length using a printable Measurement Word Problem Worksheet for 2nd grade.

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Strip Diagram (Bar Model) Poster Pack

Help your students solve problems using the four operations with a pack of printable strip diagram anchor charts.

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CUBES Bulletin Board and Bookmark Set

Tackle word problems with this CUBES problem-solving bulletin board and bookmark set.

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Multi-Step Problem Solving Worksheet

Solve a multi-step problem and explain the mathematical reasoning behind the process with this simple assessment worksheet.

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Word Problem Task Cards - 2-digit + 1-digit Addition

Practice adding 2-digit and 1-digit numbers with this set of 16 word problem task cards.

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10 Problem Solving Strategy Cards

A set of 10 problem solving strategy cards.

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Math Problem Solving Cards - Grades 2 and 3

A set of 30 problem solving questions covering a range of mathematical concepts.

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Open-Ended Math Problem Solving PowerPoint - Middle Elementary

A PowerPoint with 20 open-ended problem solving questions covering a range of mathematical concepts.

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Mathematical Operations Action Words - Spanish Version

Help your ELL and ESL students decipher math word problems using Spanish math keyword anchor charts.

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2-Digit Subtraction Model Match-Up

Use a rigorous subtraction matching game to match subtraction word problems with number sentences, bar models, and solutions.

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Addition and Subtraction Work Mat

Practice addition and subtraction concepts daily with a printable work mat for students.

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Valentine Bingo - 2-Digit Addition and Subtraction Game

Add and subtract two-digit numbers to win this fun Valentine’s Bingo Game!

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Problem Solving Strategy Posters

A set of 10 posters outlining problem solving strategies.

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Open-ended Math Problem Solving Cards – Grades 2-4

A set of 20 open-ended problem solving cards covering a range of mathematical concepts.

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Open-ended Math Problem Solving - Grades 1, 2, and 3 (Task Card Version)

A set of 20 open-ended problem solving task cards covering a range of mathematical concepts.

Go to Open-Ended Math Problem Solving - Grades 1, 2, and 3 (PowerPoint Version) teaching resource

Open-Ended Math Problem Solving - Grades 1, 2, and 3 (PowerPoint Version)

Go to Daily Math Problems - Grades 2-3 teaching resource

Daily Math Problems - Grades 2-3

A 44-slide PowerPoint that includes 20 one and two-step word problems.

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Math Thinking Sentence Starter Posters

Forty-two posters with math reflective sentence starters.

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20 Effective Math Strategies To Approach Problem-Solving 

Katie Keeton

Math strategies for problem-solving help students use a range of approaches to solve many different types of problems. It involves identifying the problem and carrying out a plan of action to find the answer to mathematical problems.  

Problem-solving skills are essential to math in the general classroom and real-life. They require logical reasoning and critical thinking skills. Students must be equipped with strategies to help them find solutions to problems.

This article explores mathematical problem solving strategies, logical reasoning and critical thinking skills to help learners with solving math word problems independently in real-life situations. 

What are problem-solving strategies?

Problem-solving strategies in math are methods students can use to figure out solutions to math problems. Some problem-solving strategies: 

  • Draw a model
  • Use different approaches
  • Check the inverse to make sure the answer is correct

Students need to have a toolkit of math problem-solving strategies at their disposal to provide different ways to approach math problems. This makes it easier to find solutions and understand math better. 

Strategies can help guide students to the solution when it is difficult ot know when to start.

The ultimate guide to problem solving techniques

The ultimate guide to problem solving techniques

Download these ready-to-go problem solving techniques that every student should know. Includes printable tasks for students including challenges, short explanations for teachers with questioning prompts.

20 Math Strategies For Problem-Solving

Different problem-solving math strategies are required for different parts of the problem. It is unlikely that students will use the same strategy to understand and solve the problem. 

Here are 20 strategies to help students develop their problem-solving skills. 

Strategies to understand the problem

Strategies that help students understand the problem before solving it helps ensure they understand: 

  • The context
  • What the key information is
  • How to form a plan to solve it

Following these steps leads students to the correct solution and makes the math word problem easier .

Here are five strategies to help students understand the content of the problem and identify key information. 

1. Read the problem aloud

Read a word problem aloud to help understand it. Hearing the words engages auditory processing. This can make it easier to process and comprehend the context of the situation.

2. Highlight keywords 

When keywords are highlighted in a word problem, it helps the student focus on the essential information needed to solve it. Some important keywords help determine which operation is needed.  For example, if the word problem asks how many are left, the problem likely requires subtraction.  Ensure students highlight the keywords carefully and do not highlight every number or keyword. There is likely irrelevant information in the word problem.

3. Summarize the information

Read the problem aloud, highlight the key information and then summarize the information. Students can do this in their heads or write down a quick summary.  Summaries should include only the important information and be in simple terms that help contextualize the problem.

4. Determine the unknown

A common problem that students have when solving a word problem is misunderstanding what they are solving. Determine what the unknown information is before finding the answer.  Often, a word problem contains a question where you can find the unknown information you need to solve. For example, in the question ‘How many apples are left?’ students need to find the number of apples left over.

5. Make a plan

Once students understand the context of the word problem, have dentified the important information and determined the unknown, they can make a plan to solve it.  The plan will depend on the type of problem. Some problems involve more than one step to solve them as some require more than one answer.  Encourage students to make a list of each step they need to take to solve the problem before getting started.

Strategies for solving the problem 

1. draw a model or diagram.

Students may find it useful to draw a model, picture, diagram, or other visual aid to help with the problem solving process.  It can help to visualize the problem to understand the relationships between the numbers in the problem. In turn, this helps students see the solution.

math problem that needs a problem solving strategy

Similarly, you could draw a model to represent the objects in the problem:

math problem requiring problem solving

2. Act it out

This particular strategy is applicable at any grade level but is especially helpful in math investigation in elementary school . It involves a physical demonstration or students acting out the problem using movements, concrete resources and math manipulatives .  When students act out a problem, they can visualize and contectualize the word problem in another way and secure an understanding of the math concepts.  The examples below show how 1st-grade students could “act out” an addition and subtraction problem:

The problemHow to act out the problem
Gia has 6 apples. Jordan has 3 apples. How many apples do they have altogether?Two students use counters to represent the apples. One student has 6 counters and the other student takes 3. Then, they can combine their “apples” and count the total.
Michael has 7 pencils. He gives 2 pencils to Sarah. How many pencils does Michael have now?One student (“Michael”) holds 7 pencils, the other (“Sarah”) holds 2 pencils. The student playing Michael gives 2 pencils to the student playing Sarah. Then the students count how many pencils Michael is left holding.

3. Work backwards

Working backwards is a popular problem-solving strategy. It involves starting with a possible solution and deciding what steps to take to arrive at that solution.  This strategy can be particularly helpful when students solve math word problems involving multiple steps. They can start at the end and think carefully about each step taken as opposed to jumping to the end of the problem and missing steps in between.

For example,

problem solving math question 1

To solve this problem working backwards, start with the final condition, which is Sam’s grandmother’s age (71) and work backwards to find Sam’s age. Subtract 20 from the grandmother’s age, which is 71.  Then, divide the result by 3 to get Sam’s age. 71 – 20 = 51 51 ÷ 3 = 17 Sam is 17 years old.

4. Write a number sentence

When faced with a word problem, encourage students to write a number sentence based on the information. This helps translate the information in the word problem into a math equation or expression, which is more easily solved.  It is important to fully understand the context of the word problem and what students need to solve before writing an equation to represent it.

5. Use a formula

Specific formulas help solve many math problems. For example, if a problem asks students to find the area of a rug, they would use the area formula (area = length × width) to solve.   Make sure students know the important mathematical formulas they will need in tests and real-life. It can help to display these around the classroom or, for those who need more support, on students’ desks.

Strategies for checking the solution 

Once the problem is solved using an appropriate strategy, it is equally important to check the solution to ensure it is correct and makes sense. 

There are many strategies to check the solution. The strategy for a specific problem is dependent on the problem type and math content involved.

Here are five strategies to help students check their solutions. 

1. Use the Inverse Operation

For simpler problems, a quick and easy problem solving strategy is to use the inverse operation. For example, if the operation to solve a word problem is 56 ÷ 8 = 7 students can check the answer is correct by multiplying 8 × 7. As good practice, encourage students to use the inverse operation routinely to check their work. 

2. Estimate to check for reasonableness

Once students reach an answer, they can use estimation or rounding to see if the answer is reasonable.  Round each number in the equation to a number that’s close and easy to work with, usually a multiple of ten.  For example, if the question was 216 ÷ 18 and the quotient was 12, students might round 216 to 200 and round 18 to 20. Then use mental math to solve 200 ÷ 20, which is 10.  When the estimate is clear the two numbers are close. This means your answer is reasonable. 

3. Plug-In Method

This method is particularly useful for algebraic equations. Specifically when working with variables.  To use the plug-in method, students solve the problem as asked and arrive at an answer. They can then plug the answer into the original equation to see if it works. If it does, the answer is correct.

Problem solving math problem 2

If students use the equation 20m+80=300 to solve this problem and find that m = 11, they can plug that value back into the equation to see if it is correct. 20m + 80 = 300 20 (11) + 80 = 300 220 + 80 = 300 300 = 300 ✓

4. Peer Review

Peer review is a great tool to use at any grade level as it promotes critical thinking and collaboration between students. The reviewers can look at the problem from a different view as they check to see if the problem was solved correctly.   Problem solvers receive immediate feedback and the opportunity to discuss their thinking with their peers. This strategy is effective with mixed-ability partners or similar-ability partners. In mixed-ability groups, the partner with stronger skills provides guidance and support to the partner with weaker skills, while reinforcing their own understanding of the content and communication skills.  If partners have comparable ability levels and problem-solving skills, they may find that they approach problems differently or have unique insights to offer each other about the problem-solving process.

5. Use a Calculator

A calculator can be introduced at any grade level but may be best for older students who already have a foundational understanding of basic math operations. Provide students with a calculator to allow them to check their solutions independently, accurately, and quickly. Since calculators are so readily available on smartphones and tablets, they allow students to develop practical skills that apply to real-world situations.  

Step-by-step problem-solving processes for your classroom

In his book, How to Solve It , published in 1945, mathematician George Polya introduced a 4-step process to solve problems. 

Polya’s 4 steps include:

  • Understand the problem
  • Devise a plan
  • Carry out the plan

Today, in the style of George Polya, many problem-solving strategies use various acronyms and steps to help students recall. 

Many teachers create posters and anchor charts of their chosen process to display in their classrooms. They can be implemented in any elementary, middle school or high school classroom. 

Here are 5 problem-solving strategies to introduce to students and use in the classroom.

CUBES math strategy for problem solving

How Third Space Learning improves problem-solving 

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Throughout each lesson, tutors ask higher-level thinking questions to promote critical thinking and ensure students are developing a deep understanding of the content and problem-solving skills.

problem solving strategies for grade 2

Problem-solving

Educators can use many different strategies to teach problem-solving and help students develop and carry out a plan when solving math problems. Incorporate these math strategies into any math program and use them with a variety of math concepts, from whole numbers and fractions to algebra. 

Teaching students how to choose and implement problem-solving strategies helps them develop mathematical reasoning skills and critical thinking they can apply to real-life problem-solving.

READ MORE :

  • 8 Common Core math examples
  • Tier 3 Interventions: A School Leaders Guide
  • Tier 2 Interventions: A School Leaders Guide
  • Tier 1 Interventions: A School Leaders Guide

There are many different strategies for problem-solving; Here are 5 problem-solving strategies: • draw a model  • act it out  • work backwards  • write a number sentence • use a formula

Here are 10 strategies for problem-solving: • Read the problem aloud • Highlight keywords • Summarize the information • Determine the unknown • Make a plan • Draw a model  • Act it out  • Work backwards  • Write a number sentence • Use a formula

1. Understand the problem 2. Devise a plan 3. Carry out the plan 4. Look back

Some strategies you can use to solve challenging math problems are: breaking the problem into smaller parts, using diagrams or models, applying logical reasoning, and trying different approaches.

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6 Tips for Teaching Math Problem-Solving Skills

Solving word problems is tougher than computing with numbers, but elementary teachers can guide students to do the deep thinking involved.

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A growing concern with students is the ability to problem-solve, especially with complex, multistep problems. Data shows that students struggle more when solving word problems than they do with computation , and so problem-solving should be considered separately from computation. Why?

Consider this. When we’re on the way to a new destination and we plug in our location to a map on our phone, it tells us what lane to be in and takes us around any detours or collisions, sometimes even buzzing our watch to remind us to turn. When I experience this as a driver, I don’t have to do the thinking. I can think about what I’m going to cook for dinner, not paying much attention to my surroundings other than to follow those directions. If I were to be asked to go there again, I wouldn’t be able to remember, and I would again seek help.

If we can switch to giving students strategies that require them to think instead of giving them too much support throughout the journey to the answer, we may be able to give them the ability to learn the skills to read a map and have several ways to get there.

Here are six ways we can start letting students do this thinking so that they can go through rigorous problem-solving again and again, paving their own way to the solution. 

1. Link problem-solving to reading

When we can remind students that they already have many comprehension skills and strategies they can easily use in math problem-solving, it can ease the anxiety surrounding the math problem. For example, providing them with strategies to practice, such as visualizing, acting out the problem with math tools like counters or base 10 blocks, drawing a quick sketch of the problem, retelling the story in their own words, etc., can really help them to utilize the skills they already have to make the task less daunting.

We can break these skills into specific short lessons so students have a bank of strategies to try on their own. Here's an example of an anchor chart that they can use for visualizing . Breaking up comprehension into specific skills can increase student independence and help teachers to be much more targeted in their problem-solving instruction. This allows students to build confidence and break down the barriers between reading and math to see they already have so many strengths that are transferable to all problems.

2. Avoid boxing students into choosing a specific operation

It can be so tempting to tell students to look for certain words that might mean a certain operation. This might even be thoroughly successful in kindergarten and first grade, but just like when our map tells us where to go, that limits students from becoming deep thinkers. It also expires once they get into the upper grades, where those words could be in a problem multiple times, creating more confusion when students are trying to follow a rule that may not exist in every problem.

We can encourage a variety of ways to solve problems instead of choosing the operation first. In first grade, a problem might say, “Joceline has 13 stuffed animals and Jordan has 17. How many more does Jordan have?” Some students might choose to subtract, but a lot of students might just count to find the amount in between. If we tell them that “how many more” means to subtract, we’re taking the thinking out of the problem altogether, allowing them to go on autopilot without truly solving the problem or using their comprehension skills to visualize it. 

3. Revisit ‘representation’

The word “representation” can be misleading. It seems like something to do after the process of solving. When students think they have to go straight to solving, they may not realize that they need a step in between to be able to support their understanding of what’s actually happening in the problem first.

Using an anchor chart like one of these ( lower grade , upper grade ) can help students to choose a representation that most closely matches what they’re visualizing in their mind. Once they sketch it out, it can give them a clearer picture of different ways they could solve the problem.

Think about this problem: “Varush went on a trip with his family to his grandmother’s house. It was 710 miles away. On the way there, three people took turns driving. His mom drove 214 miles. His dad drove 358 miles. His older sister drove the rest. How many miles did his sister drive?”

If we were to show this student the anchor chart, they would probably choose a number line or a strip diagram to help them understand what’s happening.

If we tell students they must always draw base 10 blocks in a place value chart, that doesn’t necessarily match the concept of this problem. When we ask students to match our way of thinking, we rob them of critical thinking practice and sometimes confuse them in the process. 

4. Give time to process

Sometimes as educators, we can feel rushed to get to everyone and everything that’s required. When solving a complex problem, students need time to just sit with a problem and wrestle with it, maybe even leaving it and coming back to it after a period of time.

This might mean we need to give them fewer problems but go deeper with those problems we give them. We can also speed up processing time when we allow for collaboration and talk time with peers on problem-solving tasks. 

5. Ask questions that let Students do the thinking

Questions or prompts during problem-solving should be very open-ended to promote thinking. Telling a student to reread the problem or to think about what tools or resources would help them solve it is a way to get them to try something new but not take over their thinking.

These skills are also transferable across content, and students will be reminded, “Good readers and mathematicians reread.” 

6. Spiral concepts so students frequently use problem-solving skills

When students don’t have to switch gears in between concepts, they’re not truly using deep problem-solving skills. They already kind of know what operation it might be or that it’s something they have at the forefront of their mind from recent learning. Being intentional within their learning stations and assessments about having a variety of rigorous problem-solving skills will refine their critical thinking abilities while building more and more resilience throughout the school year as they retain content learning in the process. 

Problem-solving skills are so abstract, and it can be tough to pinpoint exactly what students need. Sometimes we have to go slow to go fast. Slowing down and helping students have tools when they get stuck and enabling them to be critical thinkers will prepare them for life and allow them multiple ways to get to their own destination.

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Daily Problem Solving will help your 2nd grade students master the skills they need to be successful with challenging word problems...and have fun doing it .

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Your download includes a full week of Daily Problem Solving for Grade 2 to try out in your own classroom. Developed with the brain in mind, these multi-step word problems will challenge your learners without overwhelming them. Best of all, you'll be able to watch their skills and confidence grow as they begin to internalize strategies for conquering this difficult math skill.

problem solving strategies for grade 2

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problem solving strategies for grade 2

I've been using this with my extremely anxious learner and it works wonders to build confidence because we see the improvement.

These have given me such an insight into my students' abilities, and I've watched them improve their skills and successfully solve multi-step word problems.

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Don’t wait, get started helping your learners master word problems today!

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COMMENTS

  1. 5 Ways to Teach Math Word Problems in 2nd Grade

    2. CUBES Math Strategy for Word Problems. The CUBES strategy is a helpful way to solve 2nd grade word problems. Use this acronym to help you remember the steps needed to solve a word problem: C: Circle the numbers. U: Underline the question. B: Box the keywords. E: Eliminate the extra information. S: Solve and check the problem.

  2. Math Made Easy: Helping Grade 2 Students Thrive in Problem Solving

    By turning problem-solving woes into victories, providing support and encouragement, and using effective strategies and fun activities, parents and educators can help grade 2 students excel in math. With the right approach, learning math can be fun and engaging while developing critical thinking skills that are essential in all areas of life.

  3. Teaching Word Problems in 2nd Grade

    The Common Core standard for 2nd grade says: CCSS.MATH.CONTENT.2.OA.A.1. Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the ...

  4. PDF Strategies for Problem Solving

    Step 4: Check the Solution. After working through the plan and coming up with a solution, it is important to see first of all if the solution makes sense. Then, if it seems to be reasonable, check to be sure that it is accurate. In other words, do a quick estimate first, and then check to be sure the answer is exact.

  5. 28 Math Problems For 2nd Graders With Answers & Teaching Ideas

    Geometry. Within these domains, second grade math problems include the following 2nd grade math concepts: Addition and subtraction (2-digit numbers within 100) with and without regrouping. Place value (3-digit numbers up to 1,000) Measurement problem solving. Counting money. Reading digital and analog clocks.

  6. Problem Solving Activities: 7 Strategies

    When students participate in problem solving activities, it is important to ask guiding, not leading, questions. This provides students with the support necessary to move forward in their thinking and it provides teachers with a more in-depth understanding of student thinking. Selecting an initial question and then analyzing a student's ...

  7. Problem-Solving Strategies

    1. Create a Diagram/draw a picture. Creating a diagram helps students visualize the problem and reach the solution. A diagram can be a picture with labels, or a representation of the problem with objects that can be manipulated. Role-playing and acting out the problem like a story can help get to the solution. Example.

  8. Two-Digit Addition and Subtraction Strategies and Models

    The model is the number line. The strategy is making jumps of 10. Teaching how to use number lines when using 10 to add +9 and +8 facts, solidifies this strategy when students are adding larger two-digit numbers. Remember, the number line is the model and can be used with various strategies.

  9. 4 Tips for Solving 2nd Grade Math Word Problems

    Once she devises a strategy to solve the problem, the numbers are already standing out for her to insert into whichever operation she's using. 3. Look for keywords. Certain words give clues to what operation is being asked for, and second-grade math word problems are no exception. For example, total, sum, together, and how many all suggest ...

  10. 14 Effective Ways to Help Your Students Conquer Math Word Problems

    3. Visualize or model the problem. Encourage students to think of word problems as an actual story or scenario. Try acting the problem out if possible, and draw pictures, diagrams, or models. Learn more about this method and get free printable templates at the link. Learn more: Math Geek Mama. 4.

  11. Word Problems For 2nd Grade To Improve Problem Solving Skills

    20 Word Problems For 2nd Grade: Develop Their Problem Solving Skills Across Single and Mixed Topics. Word problems for second grade are an important tool for improving number fluency. The key focus of math in second grade is on ensuring students are becoming more fluent with number facts and the concept of place value.

  12. Problem Solving Lesson Plan for 2nd Grade

    In this problem solving lesson, 2nd graders use strategies such as guess and check, acting out, drawing pictures and looking for patterns to solve problems. Students work in groups to solve problems using buttons. Students make lists of attributes and compare with other groups. 27 Views 34 Downloads. Concepts.

  13. How to Teach 2nd Grade Math: Concepts, Tips, and Strategies

    How to Teach 2nd Grade Math: Concepts, Tips, and Strategies. August 23, 2024. 1. Place Value of 3-Digit Numbers. 2. Counting up to 1000 and Comparing 3-Digit Numbers. 3. Addition and Subtraction within 1000. 4.

  14. Word Problems Activities for 2nd Grade

    Find our 2nd Grade 'Word Problems' learning resources aligned to the curriculum. Solve word problems involving real-world scenarios with ease! ... Doubles And Near Doubles Subtraction Strategy (5) Subtract From 10 Strategy (10) ... Make math learning fun by solving word problems to add tens to a 2-digit number. 1 2 1.NBT.4. VIEW DETAILS.

  15. A Strategy for Teaching Math Word Problems

    This strategy for selecting and teaching word problems guides students to develop their understanding of math concepts. New! Word problems in mathematics are a powerful tool for helping students make sense of and reason with mathematical concepts. Many students, however, struggle with word problems because of the various cognitive demands.

  16. Word Problems Teaching Resources for 2nd Grade

    10 Problem Solving Strategies Posters ... Math Brain Teasers - Grade 2 Word Problems Challenge your second-grade students to solve these brain teasers with a set of 24 math word problems. Slide PDF Grade 2 Plus Plan Basic Multiplication and Division Word Problem Task Cards 21 word problem task cards to use when learning to differentiate ...

  17. 20 Effective Math Strategies For Problem Solving

    Here are five strategies to help students check their solutions. 1. Use the Inverse Operation. For simpler problems, a quick and easy problem solving strategy is to use the inverse operation. For example, if the operation to solve a word problem is 56 ÷ 8 = 7 students can check the answer is correct by multiplying 8 × 7.

  18. Teaching 2nd Grade Word Problems

    *Note* In the beginning of 2 nd grade, drawing pictures and diagrams to solve problems is an appropriate method for solving problems. As students learn the problem-solving process, numbers will get more difficult and students should move to more efficient strategies. 6) Write Equation. Now that I have solved the problem, I am going to write an ...

  19. 6 Tips for Teaching Math Problem-Solving Skills

    1. Link problem-solving to reading. When we can remind students that they already have many comprehension skills and strategies they can easily use in math problem-solving, it can ease the anxiety surrounding the math problem. For example, providing them with strategies to practice, such as visualizing, acting out the problem with math tools ...

  20. DAILY PROBLEM SOLVING

    Daily Problem Solving will help your 2nd grade students master the skills they need to be successful with challenging word problems ... Best of all, you'll be able to watch their skills and confidence grow as they begin to internalize strategies for conquering this difficult math skill. GET THE FREEBIE . FUN & ENGAGING.

  21. Second Grade (Grade 2) Problem Solving Strategies Questions

    Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page. Select All Questions. Grade 2 Problem Solving Strategies. Marvin solved the equation below: 14 + 25 = 39. Which of these equations could be used to check Marvin's answer? 25 + 39 = 65.

  22. 2nd Grade Math Word Problems Worksheets

    These word problem worksheets place 2nd grade math concepts in contexts that grade 2 students can relate to. We provide math word problems for addition, subtraction, multiplication, time, money and fractions. We encourage students to read and think about the problems carefully, and not just recognize an answer pattern. We facilitate this by:

  23. Second grade math worksheets

    K5 Learning offers free worksheets, flashcards and inexpensive workbooks for kids in kindergarten to grade 5. Become a member to access additional content and skip ads. Free grade 2 math worksheets, organized by grade and topic. Skip counting, addition, subtraction, place value, multiplication, division, fractions, rounding, telling time ...