Math Project: How to Make Circle Graphs and Pie Charts

Students survey 25 classmates on a six-answer question, convert the tally results into fractions, percents, and degrees, then use a protractor to hand-draw their own circle graph.

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Grades: Grades 5–8, Middle School, Elementary
Pages: 5
File type: PDF
Preparation: Print ready

Updated Apr 22, 2026

Subject: Graphing, Geometry, Math
Topic: Math Project, Pie Charts
Resource types: Lesson Plans, Activities, Teacher Tools, Worksheets, Worksheets & Printables
Preparation: Print ready

From the author

About this resource

A six-answer survey question anchors this integrated math project, which has students poll exactly 25 people and tally the responses by hand. From there they convert each answer's tally into a fraction out of 25, an equivalent fraction out of 100, and a percent written as a decimal, following a worked example (4/25 = 16/100 = 16% = 0.16). The next step converts each decimal to a number of degrees by multiplying by 360, with a reminder that all six values must sum to 360 degrees before drawing begins. In the final step, students use a protractor aligned to the circle's centre to plot each angle in turn, then add a title, colour, and labels to complete their own hand-drawn circle graph.

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 percent.
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 = 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 percent.
Percent-to-degree conversion — students multiply a decimal percent by 360 to find each answer's angle measure.
Protractor angle-drawing — students align a protractor at a circle's centre to plot sequential angles that total 360 degrees.

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Resource details

Concepts & topics

Core concepts

Equivalent fractions
Percent
Circle graphs
Angle measurement

Topics

Math Project Pie Charts Graphing Data Collection Percent Angles Protractor Equivalent Fractions Circle Graphs Math Circle Graphs

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Categories this resource belongs to

Graphing Geometry Math Lesson Plans Activities Teacher Tools

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