Subscribe

7th grade · Math · Unit 15 of 22

Circle Graphs

Percents and angles of a whole

What your child practices

Reading and building circle graphs: turning percents into numbers of people and sector angles (out of 360°), and comparing categories.

Texas Essential Knowledge and Skills (TEKS) teks student expectation: 7.6(G) · solving part-to-whole problems with circle graphs

How we explain it

Children can open this short lesson before they practice.

  1. A circle graph shows parts of a whole.
  2. The whole circle is 100% and 360°.
  3. Find a part's angle by taking that percent of 360°.

Example: A part of a circle graph is 25%. What angle is it? 25% = 0.25. 0.25 × 360° = 90°. Answer: 90°

Circle Graphs in Texas

In the Texas Essential Knowledge and Skills (TEKS), this is unit 15 of 22 in 7th grade Math, after Samples & Populations and before Mean, Median & Mode.

Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.

Source: Texas Education Agency (TEA)

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    The shaded sector of this circle graph shows the students who chose Cats. What percent is that?

    • 25%
    • 1%
    • 35%
    • 75%

  2. Question 2

    In a circle graph of survey results, the Hockey sector is 40% and stands for 68 students. How many students were surveyed in all?

    answer box

  3. Question 3

    Why might you choose a circle graph instead of a bar graph?

    • To show the order events happened in
    • To compare each part with the whole
    • To show amounts that don't make up one whole
    • To show how something changes over time

  4. Question 4

    A circle graph shows these survey results. How many of the 60 students chose Mangoes?

    Favorite fruit (60 students)
    ChoicePercent
    Apples45%
    Bananas30%
    Grapes10%
    Mangoes15%

    answer box

  5. Question 5

    In a circle graph, the "Soccer" sector has an angle of 36°. What percent of the data does that sector show?

    • 36%
    • 20%
    • 90%
    • 10%

  6. Question 6

    In a circle graph, how many degrees is the sector for a category that is 55% of the data?

    answer box°

More 7th grade