A focused Grade 7 learning session for Circle Graphs using visual models, worked examples, strategy guidance, and a short mastery check.
Student goal: I can solve problems involving circle graphs.
Circle Graphs is part of Grade 7 Statistics. This activity focuses on the central idea students need before they move into independent practice.
Students will build Grade 7 mastery of circle graphs using models, equations, and test-style reasoning.
| What to notice | How to use it |
|---|---|
| Numbers, units, labels, diagrams, or graphs | Identify what each part represents before calculating. |
| The relationship in the problem | Connect the model to an equation, comparison, or explanation. |
Use the figures and worked questions in the practice set below as the visual model for this skill.
Read the first practice question slowly. Decide what the question is asking, choose a strategy, solve, and then compare your reasoning with the answer explanation.
For Circle Graphs, a strong worked example should show the setup, the calculation or model, and a final answer that matches the context.
Many Grade 7 test questions use real situations. Look for quantities, units, rates, measures, expressions, or data values that connect the math to the story.
After solving, explain what the answer means in the situation, not just the number you calculated.
I can solve problems involving circle graphs.
Use the warmup, guided question, practice set, and exit questions below to check whether this skill is ready or needs more practice.
Use scratch paper. The explanation matters more than simply seeing whether the choice is correct.
A circle graph shows students' favorite subjects. If \(35\%\) prefer Math and the school has \(260\) students, how many students prefer Math?
Answer C: \(91\)
\(35\%\) of \(260=0.35\times260=91\) students.
A circle graph displays energy usage in a household. Heating accounts for \(45\%\) of the energy. If the total monthly energy is \(500\) kWh, how much energy is used for heating?
Answer C: \(225\) kWh
\(45\%\) of \(500 = 0.45 \times 500 = 225\) kWh.
In a circle graph of sports preferences, \(20\%\) of the \(180\) surveyed students prefer soccer. How many students prefer soccer?
Answer B: \(36\)
\(20\%\) of \(180 = 0.20 \times 180 = 36\) students.
A percent can be converted to an angle in a circle graph. What angle corresponds to \(25\%\) of a circle?
Answer C: 90°
\(25\%\) of \(360° = 0.25 \times 360° = 90°\).
A circle graph shows how a family spends its monthly budget. Rent is \(30\%\), food is \(25\%\), utilities is \(15\%\), and savings is \(30\%\). Which categories tie for the largest sector?
Answer C: Rent and Savings
Rent and Savings are both \(30\%\), the largest percentage. Food is \(25\%\) and utilities is \(15\%\).
The circle graph above shows favorite types of cuisine at a restaurant. Blue represents Asian, red represents Italian, and green represents Mexican. If \(400\) customers were surveyed, how many prefer Italian?
Answer A: \(120\)
Red (Italian) is \(30\%\) of \(400 = 0.30 \times 400 = 120\) customers.
A survey asked \(150\) people about their favorite ice cream flavor. The circle graph shows vanilla is \(40\%\), chocolate is \(35\%\), and strawberry is \(25\%\). How many people prefer chocolate?
Answer C: \(52.5\)
\(35\%\) of \(150 = 0.35 \times 150 = 52.5\) people.
A circle graph shows the distribution of pets owned by households in a neighborhood. Dogs account for \(40\%\) of the \(80\) households surveyed. How many households own dogs?
Answer B: \(32\)
\(40\%\) of \(80 = 0.40 \times 80 = 32\) households.
The circle graph shows the results of a survey on transportation methods. Blue is cars (\(40\%\)), salmon is buses (\(40\%\)), and green is bicycles (\(20\%\)). If \(500\) people were surveyed, how many use bicycles?
Answer B: \(100\)
\(20\%\) of \(500 = 0.20 \times 500 = 100\) people.
A circle graph displays the distribution of rainy days per season in a region. Summer has \(5\%\), fall has \(25\%\), winter has \(45\%\), and spring has \(25\%\). If the year has \(365\) days, approximately how many rainy days occur in winter?
Answer C: \(164\)
\(45\%\) of \(365 \approx 0.45 \times 365 = 164.25 \approx 164\) days.
The circle graph shows student class enrollment distribution. Gold is Algebra (\(25\%\)), orange is Geometry (\(37.5\%\)), and coral is Statistics (\(37.5\%\)). If \(800\) students are surveyed, how many are in Geometry?
Answer C: \(300\)
\(37.5\%\) of \(800 = 0.375 \times 800 = 300\) students.
