Math Project: How to Make Circle Graphs and Pie Charts

Product description

From the author

This fun math project includes clear step-by-step instructions to show your students how to make a circle graph. This is a great way to review several math skills while showing how useful they can be!

Tasks include:

- Writing a survey question: Your students learn to write a question that has exactly six possible answers.

- Collecting data: Your students can ask the members of your class their question. They collect data using a tally chart. They need to ask exactly 25 people.

- Recording results as a fraction: Once they have their data, they can turn each answer into a fraction with a denominator of 25.

- Calculating an equivalent fraction: Then, they calculate an equivalent fraction with a denominator of 100.

- Working with percent (written as a decimal): Finally, they turn that fraction into a decimal proportion. They multiply this decimal proportion by 360 degrees in a circle (they can use a calculator for this part) to find out how many degrees each answer gets.

- Drawing angles with a protractor: They carefully draw the six angles in their pie chart, one by one.

- Labeling a graph: They label the graph to make it clear for others to read.

Grades to Use With:

This math project works well in the middle grades (4-8) when students know how to use protractors, calculate with fractions and decimals, and make graphs. It could also work well in a high school special education classroom.

What's Included: A total of 5 pages in PDF format

Title Page
Survey Page
Equivalent Fractions Page
Decimals Page
Circle Graph Template

Standards:

7th Grade Geometry:

Draw shapes with specific conditions.

4th Grade Fractions:

Write equivalent fractions.

Write fractions as equivalent decimals out of 100.

6th Grade Ratios and Proportional Relationships
Work with percentages.

In the classroom

Teaching tips & learning objectives

Learning objectives

Convert a tally count into an equivalent fraction with a denominator of 100 and a decimal proportion.
Calculate the number of degrees a percent represents out of 360 and verify that all parts sum to 360.
Use a protractor to accurately draw sequential angles that form a complete circle graph from real survey data.

Teaching tips

Have students confirm their six degree values add up to 360 before they pick up a protractor, catching rounding errors early.
Model the worked example (4/25 = 16/100 = 16% = 0.16; then 0.16 × 360° = 57.6°) on the board before releasing students to their own survey data.
Pair students to conduct the 25-person survey together so data collection doesn't eat into the math class time needed for the conversion and drawing steps.

Skills covered

Fraction-to-percent conversion — students scale a tally out of 25 up to an equivalent fraction out of 100 and a decimal proportion.
Percent-to-degree conversion — students multiply a decimal proportion by 360 to find each answer's angle measure.
Protractor angle-drawing — students align a protractor at a circle's center to plot sequential angles that total 360 degrees.

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Curriculum

Standards, concepts & topics

Standards

6.RP.A.3 — Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. a. Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. b. Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed? c. Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent. d. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

Core concepts

Equivalent fractions
Percent
Circle graphs
Angle measurement

Topics

Circle Graphs Pie Charts Class Survey

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Categories this resource belongs to

Angles Worksheet Math Projects For Middle School 5th Grade Math Worksheets 7th Grade Math Worksheets 8th Grade Math Worksheets 6th Grade Math Worksheets

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