A focused Grade 6 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 means reading, creating, and explaining displays so data can answer real questions.
Question: A circle graph shows the favorite ice cream flavors of 200 people. If \(30\%\) prefer vanilla, how many people prefer vanilla?
Why it works: \(30\%\) of \(200\) is \(0.30\times200=60\) people.
Answer: \(60\)
Question: A circle graph shows the results of a survey with 300 students. One section is \(20\%\). How many students are in this section?
Answer: \(60\)
Question: The circle graph shows equal portions of 120 total items. What is the measure of the central angle for each section?
Answer: 90°
Question: A circle graph shows that \(40\%\) of \(250\) students prefer pizza for lunch. How many students prefer pizza?
Why it works: \(40\%\) of \(250\) is \(0.40\times250=100\) students.
Answer: \(100\)
Circle Graphs becomes easier when students connect the question to a model, use clear steps, and explain why the answer fits.
Read the scale before reading the answer.
Use scratch paper. The explanation matters more than simply seeing whether the choice is correct.
A circle graph shows that \(40\%\) of \(250\) students prefer pizza for lunch. How many students prefer pizza?
Answer C: \(100\)
\(40\%\) of \(250\) is \(0.40\times250=100\) students.
A circle graph shows the favorite ice cream flavors of 200 people. If \(30\%\) prefer vanilla, how many people prefer vanilla?
Answer A: \(60\)
\(30\%\) of \(200\) is \(0.30\times200=60\) people.
A restaurant surveyed 180 customers about their favorite drink. The circle graph shows \(25\%\) like coffee. How many customers prefer coffee?
Answer A: \(45\)
\(25\%\) of \(180\) is \(0.25\times180=45\) customers.
A circle graph shows the results of a survey with 300 students. One section is \(20\%\). How many students are in this section?
Answer B: \(60\)
\(20\%\) of \(300\) is \(0.20\times300=60\) students.
The circle graph shows equal portions of 120 total items. What is the measure of the central angle for each section?
Answer D: 90°
Each section represents \(25\%\). The central angle is \(0.25\times360°=90°\).
A circle graph shows transportation methods for 500 commuters. If \(45\%\) drive a car, how many commuters drive a car?
Answer C: \(225\)
\(45\%\) of \(500\) is \(0.45\times500=225\) commuters.
A survey of 360 people asked about favorite pizza toppings. One section of the circle graph represents \(\frac{1}{5}\) of the total. What central angle does this represent?
Answer D: 72°
\(\frac{1}{5}\) equals \(20\%\). The central angle is \(0.20\times360°=72°\).
The circle graph shows survey results for 500 people. What is the central angle for the \(30\%\) section?
Answer D: 108°
\(30\%\) of the circle: \(0.30\times360°=108°\).
A music store polled 200 customers about preferred instruments. If the circle graph shows \(50\%\) prefer guitar, how many customers prefer guitar?
Answer A: \(100\)
\(50\%\) of \(200\) is \(0.50\times200=100\) customers.
A baker made 560 cookies. The circle graph shows \(\frac{1}{4}\) are chocolate chip. How many chocolate chip cookies did the baker make?
Answer A: \(140\)
\(\frac{1}{4}=25\%\). So \(0.25\times560=140\) chocolate chip cookies.
A circle graph is divided into 5 equal sections. Each section represents what percent?
Answer A: \(20\%\)
A circle has \(100\%\). Divide by 5: \(100\div5=20\%\) per section.
