PencilGo

Grade 9 · Math · Algebra 1

9th grade Average rate of change over an interval worksheet

6 printable versionsOn Level10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version
Print

Average rate of change over an interval

Grade 9 Math Worksheet

NameDate

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

  1. Read this first

    Use the table

    input m: minutesoutput dollars
    03
    29
    415
    624
    839

  2. Ren's taxi ride gets pricier. The table shows the fare in dollars. What is the average rate of change from 2 to 8?

  3. Tala sells snacks from a cart. The table shows the total sold. What is the average rate of change from 3 to 9?

  4. Zee counts riders on a bus. The table shows riders on board. What is the average rate of change from 5 to 20?

  5. Ari's tree grows, a little faster each month. The table shows its height in cm. What is the average rate of change from 3 to 12?

  6. Bo's game score is f(x) = x² + 2x after x rounds. What is the average rate of change from 1 to 4?

  7. Esme's bakery sells f(x) = 2x² + x cookies on day x. What is the average rate of change from 1 to 3?

  8. Jun's bike ride covers f(x) = 4x + 3 km in x hours. What is the average rate of change from 2 to 6?

  9. Luz's kite climbs and dips. The graph shows its height in meters. What is the average rate of change from x = 3 to x = 7?

  10. Milo's swing slows down. The graph shows its height in cm. What is the average rate of change from x = 2 to x = 6?

  11. Pia's plant has an average rate of change in height of 3 cm per week from week 2 to week 6. Which sentence is right?

    • The plant is 3 cm tall at week 6
    • On average, the plant grew 3 cm each week from week 2 to week 6
    • The plant grew 3 cm in total from week 2 to week 6, over the whole stretch
PencilGopencilgo.com

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.

More algebra 1

See all Algebra 1

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records

Ready for easier practice?

Print a sheet, scan it when it’s done, and PencilGo picks the next one.

Create a free account