10 minute critical thinking activities for math pdf

Math Starters: 10 Simple Strategies

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10 minute critical thinking activities for math pdf

Ignite student learning with math starters— quick activities used at the beginning of math class to engage your kids’ critical thinking and problem solving skills. This post shares 10 math starters that will jump-start student learning.

On my first day as a middle school teacher, my principal said the strangest thing.

He said, “Your students cannot leave during the first five or last five minutes of class.” 

Why? I thought to myself.

Maybe he didn’t want students to get caught in a tardy sweep?

I had no clue. 

“Because,” as he said, “they are the most important minutes of the class period.”

I’d never heard that before, but it made me stop and think about the message behind it. 

As I thought more about this expectation, I finally understood.

I needed to grab my students’ attention during the first five minutes of class– which meant I should program the first five minutes with a fun and engaging math starter. 

What are Math Starters?

Math starters, critical thinking activities , designed to get students thinking about math, provide opportunities to “sneak” in grade-level content and skills in a fun and engaging way. Intended to take no more than 5 -10 minutes of instructional time, starters can include a wide variety of tasks.

Over the years, I have used a number of starters, including number of the day and word wall activities; however, my favorite activities are challenges that allow me to reinforce a variety of critical thinking and problem-solving strategies. 

Math Starter Ideas

Here’s a list of my favorite ways to jump-start my math class. 

This logic puzzle is one of my favorite math starters.

Emphasize Algebraic Thinking

1. Ask students to find five ways to represent a number, such as 1000, or have students represent the day of the month or the ____ day of school in a variety of ways.

2. Encourage algebraic thinking with number logic. To complete the task, students must determine the value of one or more symbols, such as snowflake + snowflake = 12 and snowflake – snowman = 2.

3. Challenge students with a logic puzzle . To create this puzzle, fill a 3 x 3 grid with three or four different objects, such as some fun seasonal erasers (you will need multiples of some objects). Then assign each object a value (keep it secret). Record the sum of each row or column on the outside of the table and challenge the students to find the value of each object. (See the picture above for an example.)

10 minute critical thinking activities for math pdf

Encourage Problem Solving

4. Give students a quick problem-solving task to complete, such as “During the winter snow season, the Snowy Mountain Coffee Spot sells hot chocolate for 47 cents. If Katrina paid for a cup of hot chocolate with exactly five coins (quarters, nickels, dimes, or pennies), which five coins did she use?” Note: Consider opening the task by removing the condition of “five” to say “which coins did she use?” (See the image above.) 

5. Challenge students with an Open Middle task. These tasks end with the same solution but have multiple solution paths to allow students at various levels to achieve success. 

Number clues is a great critical thinking task.

Use Clues to Eliminate Options

6. Give students clues to determine the mystery number. See the example below.

The number is:

  • not an odd number,
  • more than the value of a penny,
  • less than the number that is two more than five,
  • more than the number of sides on a square.

7. Using a set of pattern blocks, give students clues, and have them sequence the pattern blocks within a horizontal set of four numbered boxes. For example, students can order the hexagon, the blue rhombus, the trapezoid, and the triangle with the following clues.

  • There is a quadrilateral in the even-numbered boxes.
  • The shape with the least number of sides is not on the right side.
  • The shape with one pair of parallel sides is not next to the triangle.

Analyze Relationships

8. Review math vocabulary with “What’s the Relationship?” To use this activity, write 5 – 7 related math words on the board. Then have students determine how the words are related to each other. Add a twist by including a non-related word and ask students to determine which word doesn’t belong.

9. Create a Venn Diagram with pattern blocks and then ask students to determine the common attribute for each set of shapes.

Number tiles are great for fact practice.

Build Number Sense

10. Tiling tasks require students to use a set of numbered tiles, 0-9, to complete a set of problems. Typically, each tile fits in one, and only one, solution. Use tiling tasks, like the one above, to challenge students to find the value of each symbol. (Use the form below to grab this freebie and challenge your students!)

Engage ‘Em from the Start!

Let’s jump-start the new semester with a bang! Start your next math class with one of the activities above. Then tell us all about it in the comments below.

Give one of the ideas above a try. Then tell us about your experience in the comments below.

10 minute critical thinking activities for math pdf

Shametria Routt Banks

10 minute critical thinking activities for math pdf

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10 minute critical thinking activities for math pdf

10-Minute Critical Thinking Activities for Math Classes

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10-MINUTE CRITICAL THINKING ACTIVITIES / MATH

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Encourage students to use critical thinking skills to evaluate, then solve, a variety of math enrichment problems. Topics include number theory, geometry, mathematical reasoning, sequencing and patterning, order of operations, algebra, spatial visualization, transformations, and more. Includes many open-ended and non-traditoinal problems to boost brain power in math.

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10-Minute Critical Thinking Activities for Math

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  • Publisher ‏ : ‎ Walch Publishing (January 1, 1998)
  • Language ‏ : ‎ English
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  • ISBN-10 ‏ : ‎ 0825138167
  • ISBN-13 ‏ : ‎ 978-0825138164
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Educationise

11 Activities That Promote Critical Thinking In The Class

52 Critical Thinking Flashcards for Problem Solving

Critical thinking activities encourage individuals to analyze, evaluate, and synthesize information to develop informed opinions and make reasoned decisions. Engaging in such exercises cultivates intellectual agility, fostering a deeper understanding of complex issues and honing problem-solving skills for navigating an increasingly intricate world. Through critical thinking, individuals empower themselves to challenge assumptions, uncover biases, and constructively contribute to discourse, thereby enriching both personal growth and societal progress.

Critical thinking serves as the cornerstone of effective problem-solving, enabling individuals to dissect challenges, explore diverse perspectives, and devise innovative solutions grounded in logic and evidence. For engaging problem solving activities, read our article problem solving activities that enhance student’s interest.

What is Critical Thinking?

Critical thinking is a 21st-century skill that enables a person to think rationally and logically in order to reach a plausible conclusion. A critical thinker assesses facts and figures and data objectively and determines what to believe and what not to believe. Critical thinking skills empower a person to decipher complex problems and make impartial and better decisions based on effective information.

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Critical thinking skills cultivate habits of mind such as strategic thinking, skepticism, discerning fallacy from the facts, asking good questions and probing deep into the issues to find the truth.

Importance of Acquiring Critical Thinking Skills

Acquiring critical thinking skills was never as valuable as it is today because of the prevalence of the modern knowledge economy. Today, information and technology are the driving forces behind the global economy. To keep pace with ever-changing technology and new inventions, one has to be flexible enough to embrace changes swiftly.

Read our article: How to Foster Critical Thinking Skills in Students? Creative Strategies and Real-World Examples

Today critical thinking skills are one of the most sought-after skills by the companies. In fact, critical thinking skills are paramount not only for active learning and academic achievement but also for the professional career of the students. The lack of critical thinking skills catalyzes memorization of the topics without a deeper insight, egocentrism, closed-mindedness, reduced student interest in the classroom and not being able to make timely and better decisions.

Benefits of Critical Thinking Skills in Education

Certain strategies are more eloquent than others in teaching students how to think critically. Encouraging critical thinking in the class is indispensable for the learning and growth of the students. In this way, we can raise a generation of innovators and thinkers rather than followers. Some of the benefits offered by thinking critically in the classroom are given below:

  • It allows a student to decipher problems and think through the situations in a disciplined and systematic manner
  • Through a critical thinking ability, a student can comprehend the logical correlation between distinct ideas
  • The student is able to rethink and re-justify his beliefs and ideas based on facts and figures
  • Critical thinking skills make the students curious about things around them
  • A student who is a critical thinker is creative and always strives to come up with out of the box solutions to intricate problems
  • Critical thinking skills assist in the enhanced student learning experience in the classroom and prepares the students for lifelong learning and success
  • The critical thinking process is the foundation of new discoveries and inventions in the world of science and technology
  • The ability to think critically allows the students to think intellectually and enhances their presentation skills, hence they can convey their ideas and thoughts in a logical and convincing manner
  • Critical thinking skills make students a terrific communicator because they have logical reasons behind their ideas

Critical Thinking Lessons and Activities

11 Activities that Promote Critical Thinking in the Class

We have compiled a list of 11 activities that will facilitate you to promote critical thinking abilities in the students. We have also covered problem solving activities that enhance student’s interest in our another article. Click here to read it.

1. Worst Case Scenario

Divide students into teams and introduce each team with a hypothetical challenging scenario. Allocate minimum resources and time to each team and ask them to reach a viable conclusion using those resources. The scenarios can include situations like stranded on an island or stuck in a forest. Students will come up with creative solutions to come out from the imaginary problematic situation they are encountering. Besides encouraging students to think critically, this activity will enhance teamwork, communication and problem-solving skills of the students.

Read our article: 10 Innovative Strategies for Promoting Critical Thinking in the Classroom

2. If You Build It

It is a very flexible game that allows students to think creatively. To start this activity, divide students into groups. Give each group a limited amount of resources such as pipe cleaners, blocks, and marshmallows etc. Every group is supposed to use these resources and construct a certain item such as building, tower or a bridge in a limited time. You can use a variety of materials in the classroom to challenge the students. This activity is helpful in promoting teamwork and creative skills among the students.

It is also one of the classics which can be used in the classroom to encourage critical thinking. Print pictures of objects, animals or concepts and start by telling a unique story about the printed picture. The next student is supposed to continue the story and pass the picture to the other student and so on.

4. Keeping it Real

In this activity, you can ask students to identify a real-world problem in their schools, community or city. After the problem is recognized, students should work in teams to come up with the best possible outcome of that problem.

5. Save the Egg

Make groups of three or four in the class. Ask them to drop an egg from a certain height and think of creative ideas to save the egg from breaking. Students can come up with diverse ideas to conserve the egg like a soft-landing material or any other device. Remember that this activity can get chaotic, so select the area in the school that can be cleaned easily afterward and where there are no chances of damaging the school property.

6. Start a Debate

In this activity, the teacher can act as a facilitator and spark an interesting conversation in the class on any given topic. Give a small introductory speech on an open-ended topic. The topic can be related to current affairs, technological development or a new discovery in the field of science. Encourage students to participate in the debate by expressing their views and ideas on the topic. Conclude the debate with a viable solution or fresh ideas generated during the activity through brainstorming.

7. Create and Invent

This project-based learning activity is best for teaching in the engineering class. Divide students into groups. Present a problem to the students and ask them to build a model or simulate a product using computer animations or graphics that will solve the problem. After students are done with building models, each group is supposed to explain their proposed product to the rest of the class. The primary objective of this activity is to promote creative thinking and problem-solving skills among the students.

8. Select from Alternatives

This activity can be used in computer science, engineering or any of the STEM (Science, Technology, Engineering, Mathematics) classes. Introduce a variety of alternatives such as different formulas for solving the same problem, different computer codes, product designs or distinct explanations of the same topic.

Form groups in the class and ask them to select the best alternative. Each group will then explain its chosen alternative to the rest of the class with reasonable justification of its preference. During the process, the rest of the class can participate by asking questions from the group. This activity is very helpful in nurturing logical thinking and analytical skills among the students.

9. Reading and Critiquing

Present an article from a journal related to any topic that you are teaching. Ask the students to read the article critically and evaluate strengths and weaknesses in the article. Students can write about what they think about the article, any misleading statement or biases of the author and critique it by using their own judgments.

In this way, students can challenge the fallacies and rationality of judgments in the article. Hence, they can use their own thinking to come up with novel ideas pertaining to the topic.

10. Think Pair Share

In this activity, students will come up with their own questions. Make pairs or groups in the class and ask the students to discuss the questions together. The activity will be useful if the teacher gives students a topic on which the question should be based.

For example, if the teacher is teaching biology, the questions of the students can be based on reverse osmosis, human heart, respiratory system and so on. This activity drives student engagement and supports higher-order thinking skills among students.

11. Big Paper – Silent Conversation

Silence is a great way to slow down thinking and promote deep reflection on any subject. Present a driving question to the students and divide them into groups. The students will discuss the question with their teammates and brainstorm their ideas on a big paper. After reflection and discussion, students can write their findings in silence. This is a great learning activity for students who are introverts and love to ruminate silently rather than thinking aloud.

Finally, for students with critical thinking, you can go to GS-JJ.co m to customize exclusive rewards, which not only enlivens the classroom, but also promotes the development and training of students for critical thinking.

Read our next article: 10 Innovative Strategies for Promoting Critical Thinking in the Classroom

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Thanks for the great article! Especially with the post-pandemic learning gap, these critical thinking skills are essential! It’s also important to teach them a growth mindset. If you are interested in that, please check out The Teachers’ Blog!

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10-minute Critical-thinking Activities For English:grades 10-12

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  1. PDF 81 Fresh & Fun Critical-Thinking Activities

    This arrangement will help you and your students more clearly understand and identify the specific critical-thinking skills they are using. For each thinking skill in this book, there are two kinds of activities: (1) those that you, as the teacher, will lead, and (2) student reproducibles for indepen-dent work.

  2. 10-minute critical thinking activities for algebra

    10-minute critical thinking activities for algebra by Martin, Hope. Publication date 2002 Topics Mathematics, Critical thinking -- Problems, exercises, etc, Algebra, Mathématiques, Pensée critique -- Problèmes et exercices, Algèbre, algebra, Critical thinking Publisher ... Pdf_module_version 0.0.20 Ppi 360 Rcs_key 24143 Republisher_date

  3. Math Starters: 10 Simple Strategies

    What are Math Starters? Math starters, critical thinking activities, designed to get students thinking about math, provide opportunities to "sneak" in grade-level content and skills in a fun and engaging way. Intended to take no more than 5 -10 minutes of instructional time, starters can include a wide variety of tasks.

  4. 10-Minute Critical-Thinking Activities for Math

    10-Minute Critical-Thinking Activities for Math. Hope Martin. Walch Publishing, 1998 - Juvenile Nonfiction - 80 pages. Encourage students to use critical thinking skills to evaluate, then solve, a variety of math enrichment problems. Topics include number theory, geometry, mathematical reasoning, sequencing and patterning, order of operations ...

  5. PDF THE CRITICAL THINKING

    It's thinking on purpose! Critical thinking involves mindful communication, problem-solving, and a freedom from bias or. About This Workbook. egocentric tendency. You can apply critical thinking to any kind of subject, problem, or situation you choose. The activity pages in the Critical Thinking Workbook are meant to be shared and explored.

  6. PDF Critical Thinking Worksheet Grades 6-8: Mathematical Concepts

    has a difficult time using the materials in the classroom in a respectful and appropriate manner. has a difficult time concentrating and gets distracted easily. is having a difficult time with math. Going over _____ at home would help considerably. is having a very difficult time understanding math concepts for his/her grade level.

  7. 10-Minute Critical Thinking Activities for Math

    Looking for a PDF of this document? ... 10-Minute Critical Thinking Activities for Math Classes. Priest, Nadine. ... 10-MINUTE CRITICAL THINKING ACTIVITIES FOR MATH CLASSES Hope Martin, 1998. Gr. 9-12, vi + 70 pp., reproducible teacher book, $13.95 paper. ISBN -8251-3816-7. Weston Walch Publisher, P 0.

  8. 10-Minute Critical-Thinking Activities for Algebra

    Books. 10-Minute Critical-Thinking Activities for Algebra. Covers a wide variety of topics including understanding patterns; using algebraic symbols; solving problems with graphs, tables, and equations; and more. Works as an end-of-class activity, extra-credit, or at-home assignment. Includes teaching suggestions, skills matrix, and answer section.

  9. 10-Minute Critical Thinking Activities for Math

    10-Minute Critical Thinking Activities for Math | Mathematics. Ready-to-use activities that reinforce key skills. Provides teaching suggestions, a skills matrix, and activities in mathematics to help students increase their critical thinking and problem-solving skills.

  10. 10-Minute Critical Thinking Activities for Math Classes

    10-Minute Critical Thinking Activities for Math Classes. August 1999, Walch Pub., Walch Publishing. Paperback in English. 0825138167 9780825138164. aaaa. Not in Library.

  11. 10-minute Critical Thinking Activities / Math

    Complete Math Set of 2. $39.00; 10-Minute Critical-Thinking Activities. Algebra. ... $22.00; 10-Minute Critical-Thinking Activities. World of Work. $22.00; 10-Minute Critical-Thinking Activities. Complete Set of 4. 4 book set. $77.00; 10-Minute Critical-Thinking Activities. Complete Math Set of 2. $39.00; No additional information available for ...

  12. PDF Mathematical Teaching Strategies: Pathways to Critical Thinking and

    critical thinking skills by indicating optional methods and perhaps simplifying the process. Below is an example of how critical thinking can be used with simple mathematics. Students can develop and enhance their critical thinking skills as a result of instructors providing optional methods for simplifying the mathematical process.

  13. Free critical thinking worksheets

    Fact Families/Missing Addend/Open-Ended Worksheets These worksheets help students develop number sense and critical thinking. You can use the blank sheets to focus lessons on student needs. Both addition/subtraction and multiplication/division are included. Just let me know what I can do to help you use my materials.

  14. 10-Minute Critical-Thinking Activities for Math

    10-Minute Critical-Thinking Activities for Math $ 26.00. 10-Minute Critical-Thinking Activities for Math quantity. Add to cart. Add to Wishlist. Add to Wishlist. Sample Pages: View and Download. Description Additional information Description. Ready-to-use activities that reinforce key skills.

  15. 10-Minute Critical Thinking Activities for Math

    ISBN-13 ‏ : ‎ 978-0825138164. Reading age ‏ : ‎ 12 years and up. Item Weight ‏ : ‎ 7.4 ounces. Dimensions ‏ : ‎ 8.25 x 0.25 x 10.5 inches. Best Sellers Rank: #1,586,298 in Books ( See Top 100 in Books) #530 in Mathematics for Teens & Young Adults. #1,375 in Science & Technology for Teens (Books)

  16. 10-Minute Critical-Thinking Activities for Algebra|Paperback

    This handy reproducible book encourages students to use critical-thinking skills to evaluate, then solve, a variety of problems. Designed to meet NCTM Standards, these 69 engaging activities help students build problem-solving strategies that they can apply not only in the math classroom, but to other content areas and in everyday life.

  17. 11 Activities That Promote Critical Thinking In The Class

    6. Start a Debate. In this activity, the teacher can act as a facilitator and spark an interesting conversation in the class on any given topic. Give a small introductory speech on an open-ended topic. The topic can be related to current affairs, technological development or a new discovery in the field of science.

  18. PDF How to Teach Critical Thinking

    1. Teaching Critical Thinking: How to Inspire Better Reasoning Critical thinking has never been more important than it is today. Learn basics like what critical thinking means, what habits good critical thinkers develop, and how critical thinking can be integrated into existing curricula. 2. Critical Reading: Developing Critical Thinking Through

  19. 10-Minute Critical Thinking Activities For Algebra

    Web Price. $25.95. Quantity. Description. Boost students' critical-thinking and problem-solving skills! Topics: Understanding patterns, using algebraic symbols, solving problems with graphs, tables and equations, and more. Incorporate as an end-of-class activity, extra-credit, or at-home assignment. Reproducible book. 88 pages.

  20. 10-minute Critical-thinking Activities For English:grades 10-12

    10-minute Critical-thinking Activities For English:grades 10-12 by Deborah Eaton. Publication date January 1998 Publisher Walch Pub. Collection ... Pdf_module_version 0.0.23 Ppi 360 Rcs_key 26737 Republisher_date 20231218104041 Republisher_operator [email protected] ...

  21. 10 Minute Critical Thinking Activities For English Copy

    10-minute Critical-thinking Activities Series 10-Minute Critical-Thinking Activities for English Train your brain for better decisions, problem solving, andinnovation Think Smarter: Critical Thinking to Improve Problem-Solvingand Decision-Making Skills is the comprehensive guide totraining your brain to do more for you. Written by a

  22. PDF 10 Minute Critical Thinking Activities For English

    10-Minute Critical-Thinking Activities for Math Hope Martin,1998 Encourage students to use critical thinking skills to evaluate, then solve, a variety of math enrichment problems. ... many open-ended and non-traditoinal problems to boost brain power in math. Critical Thinking Activities (Intermediate) Teacher Created Resources,2001-06