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Grade 9 · Math · Algebra 1

9th grade Average rate of change over an interval worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Average rate of change over an interval

Grade 9 Math Worksheet - Building Confidence

NameDate

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

  1. Read this first

    Use the table

    input w: weeksoutput cm
    15
    26
    311
    420
  2. Ren's plant is measured each week (height in cm). Use the rows for inputs 1 (output 5) and 3 (output 11). What is the average rate of change from 1 to 3?

  3. Zee's robot collects stars. The table shows its total. Use the rows for inputs 0 (output 3) and 2 (output 13). What is the average rate of change from 0 to 2?

  4. Ari fills a tub. The table shows the liters in it. Use the rows for inputs 1 (output 6) and 4 (output 18). What is the average rate of change from 1 to 4?

  5. Bo's candle burns down. The rows say 20 cm at hour 2 and 8 cm at hour 5. What is the average rate of change from hour 2 to hour 5?

  6. Esme drains a bath. The rows say 30 liters at minute 1 and 12 liters at minute 4. What is the average rate of change from minute 1 to minute 4?

  7. Jun watches a snow pile melt. The rows say 45 cm at hour 0 and 20 cm at hour 5. What is the average rate of change from hour 0 to hour 5?

  8. Kira's lamp battery runs down. The rows say 21 percent at hour 3 and 12 percent at hour 6. What is the average rate of change from hour 3 to hour 6?

  9. Use the table

    input s: secondsoutput meters
    01
    13
    27
    313
    421
  10. Luz rolls a ball down a ramp, and it speeds up. The table shows the distance in meters. What is the average rate of change from second 2 to second 3?

  11. Milo slides a sled down a hill. The table shows the distance in meters. What is the average rate of change from second 1 to second 2?

  12. Noah scoots downhill, faster every second. The table shows the distance in meters. What is the average rate of change from second 2 to second 3?

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