my homework lesson 5 draw and analyze line plots

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McGraw Hill My Math Grade 3 Chapter 12 Lesson 5 Answer Key Draw and Analyze Line Plots

All the solutions provided in  McGraw Hill My Math Grade 3 Answer Key PDF Chapter 12 Lesson 5 Draw and Analyze Line Plots will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 3 Answer Key Chapter 12 Lesson 5 Draw and Analyze Line Plots

A line plot uses Xs above a number line to show how often a data value occurs.

Math in My World

2. Find the numbers spun least often. What numbers were spun least often? ____________ How many times were each of these numbers spun? ____________

3. The difference between the greatest number of Xs and the least number of Xs is ____________ – 1 = ____________. Answer: 1. The number spun most often was 1. Because the number of X’s are more in the 1. For the 8 times the number 1 spun. 2. The two numbers are the least often. The least often numbers are 3 and 4. For 1 time the each of the numbers are spun. 3. The difference between the greatest of X’s and the least number of X’s is 8 – 1 = 7.

Guided Practice

Independent Practice

Question 3. How many students’ quiz scores are recorded? Explain. Answer: Given that, The Score of 1 student is 86. The score of 1 student is 90. The score of 4 students is 92. The score of 1 student is 94. The score of 3 students is 96. The score of 2 students is 100. Therefore the total number of students that the quiz score recorded is 1 + 1 + 4 + 1 + 3 + 2 = 12.

Problem Solving

Circle the true sentence about each set of data.

HOT Problems

Question 9. Building on the Essential Question How can I interpret the data I have collected? Answer: There are 4 steps for the data interpret. They are assemble the information, develop findings, develop conclusions and develop reconditions.

McGraw Hill My Math Grade 3 Chapter 12 Lesson 5 My Homework Answer Key

Use the line plot above to answer Exercises 1-3.

Question 1. How many days were there 2 birds at the bird feeder? Answer: Given that, The number of days the 1 bird at the feeder is 2. The number of days the 2 bird at the feeder is 4. The number of days the 3 bird at the feeder is 1. The number of days the 4 bird at the feeder is 1. The number of days the 5 bird at the feeder is 2. Therefore, There are 4 days the 2 birds are at the bird feeder.

Question 2. How many days were there 3 or fewer birds at the feeder? Answer: Given that, The number of days the 1 bird at the feeder is 2. The number of days the 2 bird at the feeder is 4. The number of days the 3 bird at the feeder is 1. The number of days the 4 bird at the feeder is 1. The number of days the 5 bird at the feeder is 2. Therefore, There are 7 days the 3 and fewer birds at the feeder.

Question 3. How many days were there 3 or more birds at the feeder? Answer: Given that, The number of days the 1 bird at the feeder is 2. The number of days the 2 bird at the feeder is 4. The number of days the 3 bird at the feeder is 1. The number of days the 4 bird at the feeder is 1. The number of days the 5 bird at the feeder is 2. Therefore, There are 4 days the 3 or more birds at the feeder.

Question 4. How many states have the most number of students visited? Answer: The most number of the students visited the 2 states.

Question 5. How many students have visited three states? Answer: The number of students visited the three states is 8.

Vocabulary Check

Question 7. What is a line plot? Answer: The line plot can be defined has a graph that displays the data in points or cross marks above the number line.

Test Practice

Question 8. Refer to the line plot in Exercise 6. What is the difference between the least number of hours spent on homework and the most number of hours spent on homework? (A) 1 hour (B) 3 hours (C) 8 hours (D) 11 hours Answer: Given that, The least number of hours spent on home work is 9. The most number of hours spent on home work is 10. The difference between the least number of hours spent on homework and the most number of hours spent on homework. Option A is the correct answer.

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Course: 5th grade   >   Unit 15

• Interpreting line plots with fractions
• Reading a line plot with fractions

Interpret line plots

• Interpret line plots with fraction addition and subtraction
• Line plot distribution: trail mix
• Interpret dot plots with fraction operations

Line Plots (Grade 5)

Suggested learning targets.

• I can create line plots with fraction measurements
• I can solve problems using data from line plots.

Component Skills from Previous Grades

Use the Line Plot above to answer the questions. 1) What is the length difference between the shortest and longest ribbon?

2) There are 5 ribbons that are 7 ¼ inches. If all 5 ribbons were put together what would there total length be?

Activity 2:

Give the line plot below a Title and create a story problem to describe the data on the line plot.

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In order to access this I need to be confident with:

Here you will learn about line plots, including how to create a line plot with whole number units and fractional units, and how to solve addition and subtraction problems involving information presented in line plots.

Students will first learn about line plots as part of measurement and data in 2 nd grade.

What is a line plot?

A line plot , also known as a dot plot, is a type of graph used to display data where each data point is plotted as an X or a dot (or another symbol) above a number line. The frequency of each value is shown by the number of symbols placed above the corresponding value on the number line.

For example,

The line plot below represents the following set of data, which represent student heights in a 5 th-grade class to the nearest inch:

Common Core State Standards

How does this relate to 2 nd grade math through 5 th grade math?

• Grade 2 – Measurement and Data (2.MD.D.9) Generate measurement data by measuring lengths of several objects to the nearest whole unit, or by making repeated measurements of the same object. Show the measurements by making a line plot, where the horizontal scale is marked off in whole-number units.
• Grade 3 – Measurement and Data (3.MD.B.4) Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units— whole numbers, halves, or quarters.
• Grade 4 – Measurement and Data (4.MD.B.4) Make a line plot to display a data set of measurements in fractions of a unit (\cfrac{1}{2}, \cfrac{1}{4}, \cfrac{1}{8}). Solve problems involving addition and subtraction of fractions by using information presented in line plots. For example, from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection.
• Grade 5 – Measurement and Data (5.MD.B.2) Make a line plot to display a data set of measurements in fractions of a unit (\cfrac{1}{2}, \cfrac{1}{4}, \cfrac{1}{8}). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.

[FREE] Represent and Interpret Data Worksheet (Grade 1 to 3)

Use this quiz to check your 1st, 2nd and 3rd grade students’ understanding of representing and interpreting data. 15+ questions with answers covering a range of 1st, 2nd and 3rd grade represent and interpret data topics to identify areas of strength and support!

How to create a line plot

To create a line plot:

Draw the horizontal axis ( \textbf{x} -axis, or the number line) and mark it off in appropriate units.

Plot each data point as an X, dot, or other symbol above its value on the number line.

Label the number line with the appropriate units and add a title.

Line plot examples

Example 1: whole number data values.

Mrs. Lee’s class conducted a survey to find out how many siblings each student had. Here are the results:

Create a line plot to show the number of siblings each student has.

To draw the number line, draw a straight line horizontally with arrows on the ends. Then mark it off in equal intervals. All of the data values in the set are whole numbers between 0 and 4, so the number line can be marked off as so:

2 Plot each data point as an X, dot, or other symbol above its value on the number line.

3 Label the number line with the appropriate units and add a title.

This data set does not represent measurement data, so the number line label is a category (number of siblings) rather than a unit of measurement such as inches, feet, etc.

Example 2: whole number data values

During recess, students in Mr. Garcia’s class measured the lengths of different sticks they found on the playground in inches. Here are their measurements:

Create a line plot to show the lengths of the sticks in inches.

Since the data points are all whole numbers, the lowest being 2 and the highest being 8, the number line can be marked off from 2 to 8.

It is not required to have the first and last numbers on the number line be the lowest and highest data points, however. For example, you could also draw a number line from 0 to 10.

Since the data set represents measurement data, the number line is labeled in the correct measurement unit, which is inches.

Example 3: fractional data values (halves and quarters)

Maria measured the lengths of ribbons in her craft supplies to the nearest quarter of a foot. Here are their measurements:

Create a line plot to show the lengths of Maria’s ribbons.

Since the data points included fractional measurements (halves and quarters), the number line is marked off in fourths from 1 to 3.

Example 4: fractional data values (halves, quarters, eighths)

The owner of a pretzel stand is measuring out the dough to make a fresh batch of pretzels. The lengths are shown to the nearest eighth of an inch:

Create a line plot to represent the pretzel dough.

Since the data points included fractional measurements (halves and quarters), the number line is marked off in eighths from 20 to 21.

How to answer a question about a line plot.

In order to answer a question about a line plot:

Examine the line plot carefully to understand the information it represents.

Use the information from the line plot to answer the specific question being asked.

Example 5: read a line plot

According to the line plot, how many students in Mrs. Lee’s class have 2 or more siblings?

Looking at the line plot, you can see that each X represents one student in Mrs. Lee’s class and the numbers on the number line represent the number of siblings they have.

The question asks you to determine how many students in Mrs. Lee’s class have 2 or more siblings. To find this answer, you would count the number of Xs above the 2, above the 3, and above the 4.

These Xs represent all of the students who have 2 siblings or more than 2 siblings.

Therefore, 10 students in Mrs. Lee’s class have 2 or more siblings.

Example 6: read a line plot – measurement data

Alex drew a line plot to represent the lengths of the pencils on his desk. What is the difference between the longest pencil and the shortest pencil?

After examining the line plot, you can see that it represents the lengths of Alex’s pencils to the nearest eighth of an inch.

The highest number with Xs above it is 5 \cfrac{7}{8} and the lowest number with Xs above it is 5, which means those measurements represent the longest and shortest pencils.

The question asks to find the difference between the longest and shortest pencils, so you can use subtraction to find the answer.

5 \cfrac{7}{8}-5=\cfrac{7}{8}

After solving, write a sentence to provide the correct context for the answer.

The difference between the longest pencil and the shortest pencil is \cfrac{7}{8} inches.

Teaching tips for line plots

• Begin by introducing line plots using concrete examples that students can relate to, such as the number of pets students have or the number of books they’ve read in a week. Then progress to fractional data values such as the lengths of a set of ribbons.
• Provide plenty of opportunities for students to practice reading and interpreting line plots. Ask questions about the data, such as finding the mean, mode, median, or range.
• In place of worksheets, allow students to use interactive whiteboards or other online graphing tools to create line plots. This helps students develop a strong understanding of data visualization and makes the learning experience more engaging.
• As the curriculum progresses, practice problems with line plots can include decimals instead of fractions.

Easy mistakes to make

• Thinking the line plot needs a \textbf{y} -axis Many graphs use an x -axis and y -axis but a line plot will only include an x -axis or number line.
• Incorrect scaling Students might incorrectly scale the number line. For example, if the numeric data set includes fourths, the number line should be marked off in fourths, even if some of the fourths do not represent a data point.
• Missing labels Forgetting to label the axes or title the graph can make it difficult for others to read and interpret the graph.
• Confusing line plots for other types of line graphs Students might confuse line plots with other types of line graphs because they all involve lines, but line plots specifically show the frequency of data points along a number line, while other line graphs display trends or relationships between variables.

Related represent and interpret data lessons

• Represent and interpret data
• Tally chart

Practice line plot questions

1. Which line plot represents the following data?

A group of 3 rd graders conducted a survey to find out how many hours each student spent reading books during the past week.

Data: 2 hours, 3 hours, 1 hour, 2 hours, 4 hours, 2 hours, 3 hours, 1 hour, 2 hours, 3 hours, 2 hours, 4 hours

The first graph represents the data correctly. The number of Xs and frequencies on the 2 nd graph are correct, but the title and label are incorrect.

2. Which line plot represents the following data?

The second option has the correct title, label, and the data points are plotted correctly.

The first line plot also has the correct data points plotted correctly, but the number line units are shown as feet instead of inches.

3. The number line below represents the weights of a group of puppies. How many puppies were weighed?

Each X represents one puppy, so to find the total number of puppies that were weighed, you need to count the number of Xs on the line plot, which is 14.

4. The line plot below represents the weights of a litter of puppies. What is the difference between the most common puppy weight and the least common puppy weight?

7 \cfrac{1}{4} lbs

\cfrac{3}{4} lb

6 \cfrac{1}{2} lbs

The most common puppy weight is the one with the most Xs above it, which is 7 \cfrac{1}{4} lbs.

The least common puppy weight is the one with the lowest number of Xs above it, which is 6 \cfrac{1}{2} lbs.

To find the difference, subtract the two numbers.

To find the difference, first, you need to find a common denominator.

Then, you’ll need to take \cfrac{4}{4} from 7 so that you have enough fourths to subtract the fractions.

The difference between the most common puppy weight and least common puppy weight is \cfrac{3}{4} lbs.

5. A group of 5 th graders each planted a seed. They have been tracking the heights of their plants over the last 2 weeks. The line plot below represents the heights of the plants to the nearest eighth of an inch.

What is the combined height of the 3 tallest plants?

8 \cfrac{3}{4} inches

8 \cfrac{1}{2} inches

5 \cfrac{3}{4} inches

8 \cfrac{5}{8} inches

To find the combined height of the three tallest plants, you need to find the Xs that are furthest to the right on the number line, then add their values together.

To add the three fractions, you need a common denominator first. Then, you can add the whole numbers and add the fractions, then simplify.

6. A group of 5 th graders each planted a seed. They have been tracking the heights of their plants over the last 2 weeks. The line plot below represents the heights of the plants to the nearest eighth of an inch.

What is the difference between the tallest plant and the shortest plant height?

\cfrac{3}{4} inch

\cfrac{7}{8} inch

\cfrac{5}{8} inch

The tallest plant height is 2 \cfrac{7}{8} inch and the shortest is 2 \cfrac{1}{8} inch.

Subtract to find the difference, then simplify the answer.

Therefore, the difference is \cfrac{3}{4} inch.

Line plot FAQs

A line plot is a type of graph used to display data where each data point is plotted as an X or a dot (or another symbol) above a number line.

The different types of frequency graphs include histograms, bar graphs, and line plots.

Line plots show the frequency distribution of discrete data points along a number line, while line graphs display trends or relationships between variables over time or categories.

To find outliers on a line plot, look for data points that are noticeably far away from the main cluster of points.

The next lessons are

• Converting fractions decimals and percents

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[FREE] Common Core Practice Tests (Grades 3 to 6)

Prepare for math tests in your state with these Grade 3 to Grade 6 practice assessments for Common Core and state equivalents.

40 multiple choice questions and detailed answers to support test prep, created by US math experts covering a range of topics!

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Line Graph Worksheets 5th Grade

Welcome to our Line Graph Worksheets 5th Grade. Here you will find our range of line graph sheets for 5th graders which will help your child to interpret, analyse, read and plot line graphs.

The line graph sheets on this page are at an intermediate level - for more simple graphs please see below.

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At 5th grade, the vertical scale in much more varied on these sheets, and the level of analysis is getting harder.

On this page there are a wide variety of line graphs on a variety of different topics.

Many of the graphs involve 'real-life' data.

Some of the line graphs start at zero on the vertical axis, but some of the graphs start at higher numbers.

There are lots of opportunities on each of the worksheets to interpret the graphs and answer simple questions about the data.

On some of the later sheets, there are opportunities for plotting and drawing part of the graph.

Using these 5th grade line graphs will help your child to:

• read and answer questions about line graphs;
• read and interpret line graphs with a scale going up in different size steps;
• plotting and drawing missing parts of a line graph;
• answer questions involving data.

The line graphs worksheets have been split up into 2 different sections below.

The first section contains line graph worksheets that focus on interpreting.

The second section involves plotting and drawing parts of the line graph as well as interpreting.

Line Graph Worksheets 5th Grade - Interpreting

Line graph worksheets 5th grade: plotting and interpreting, looking for something easier.

The line graphs worksheets in this section are at a 3rd grade level and are simpler than those on this page.

The level of interpretation is a little easier and the line graphs may involve scales going up in 1s or 2s.

The line graphs on this page are great as a basic introduction to using line graphs.

• Line Graph Worksheets 3rd Grade

Looking for something harder?

The line graph worksheets in this section are at a 4th grade level and are more complex than those on this page.

The scales are more complex, and involve more complicated questions and data analysis.

5th Grade Line Graph Worksheets

More 4th Grade Data Analysis Sheets

We have a wide selection of bar graph, venn diagram and other statistics worksheets designed for 4th graders.

At a 4th grade level, the level of analysis is higher, and the knowledge base becomes much broader.

• Bar Graph Worksheets 4th grade
• Median Worksheets
• Mean Worksheets
• Mode and Range Worksheets
• Mean Median Mode and Range Worksheets
• Venn Diagram Worksheet 4th Grade

Fourth Grade Math Word Problems

Here is our set of 4th grade math problems to help your child with their problem solving skills.

Each problem sheet comes complete with answers, and is available in both standard and metric units where applicable.

Using these sheets will help your child to:

• apply their addition, subtraction and problem solving skills;
• apply their knowledge of rounding and place value;
• solve a range of 'real life' problems;
• attempt more challenging longer problems.

Using the problems in this section will help your child develop their problem solving and reasoning skills.

• 4th Grade Math Word Problems
• 4th Grade Measurement Worksheets

Here is our selection of measurement worksheets for 4th graders.

These sheets involve reading scales in both the standard and metric systems.

The scales include finding the length, weight or liquid capacity.

Using these sheets will help your child understand how to:

• read scales in both the standard and metric systems;
• read a scale going up in a range of fractions: halves, quarters and eighths;
• read a scale going up in tenths, fives, tens, fifties, and hundreds.

Using these sheets will help children to consolidate their fractions and place value learning.

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