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Grade 9 · Math · Algebra 1

9th grade Average rate of change over an interval worksheet

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Average rate of change over an interval

Grade 9 Math Worksheet - Challenge Me

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Circle the best answer, or write your answer on the line.

  1. Read this first

    Use the table

    input h: hoursoutput km
    04
    210
    622
    730
  2. Zee's bike ride is in the table (km). Which interval has the greater average rate of change: from h = 0 to h = 6, or from h = 6 to h = 7?

    • From h = 6 to h = 7
    • From h = 0 to h = 6
    • The rates are the same
  3. Bo fills a pool (liters in the table). Which interval has the greater average rate of change: from m = 1 to m = 7, or from m = 7 to m = 8?

    • The rates are the same
    • From m = 7 to m = 8
    • From m = 1 to m = 7
  4. Esme's bakery counts cookies sold in the table. Which interval has the greater average rate of change: from d = 2 to d = 3, or from d = 3 to d = 8?

    • The rates are the same
    • From d = 3 to d = 8
    • From d = 2 to d = 3
  5. Jun's plant is 7 cm tall at week 2. Its average rate of change from week 2 to week 5 is 4 cm per week. How tall is it at week 5?

  6. Kira is 10 km from the start at hour 1. The average rate of change from hour 1 to hour 4 is 6 km per hour. How far is Kira at hour 4?

  7. Luz's candle is 40 mm tall at hour 3. The average rate of change from hour 3 to hour 7 is −5 mm per hour. How tall is it at hour 7?

  8. Milo has $15 at week 2. The average rate of change from week 2 to week 6 is $3 per week. How much does Milo have at week 6?

  9. Use the table

    input m: minutesoutput height
    16
    322
    514
    711
    96
  10. Noah's kite rises, then sinks. The table shows its height in meters. What is the average rate of change from minute 1 to minute 9?

  11. Ren's ball bounces and lands. The table shows its height in dm. What is the average rate of change from minute 2 to minute 10?

  12. Tala's rocket dips and climbs. The table shows its height in meters. What is the average rate of change from minute 1 to minute 9?

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9th grade Average rate of change over an interval worksheet – printable
Print: 123456

About this worksheet

Average rate of change. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find the average rate of change between two rows of a table, an equation or a graph.
  • I can say what it means ("on average, 3 cm each week").
  • I can find an end value from a rate, and compare two intervals.

Standard: F-IF.B.6

Words to know

average rate of change: The output change divided by the input change between two rows.

interval: The stretch of inputs between the two rows you choose.

output change: Last output minus first output.

input change: Last input minus first input.

Common mistakes

Your child found how much the output changed but did not divide by how much the input changed.

Your child divided the input change by the output change.

Your child divided the last output by the last input instead of using the change between the two rows.

What to say

Ask: how many steps of input are there between the two rows?

Ask: which goes on top, the change in the output or the change in the input?

Ask: what is the change in the output, and the change in the input?

Questions parents ask

What is the most common mistake with average rate of change over an interval?

Your child found how much the output changed but did not divide by how much the input changed.

How can I help my child with average rate of change over an interval?

Ask: how many steps of input are there between the two rows?

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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