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CCSS HSF-IF.B.6 Worksheets

Algebra 1 · Interpreting Functions

Calculate and interpret the average rate of change of a function over a specified interval, and estimate the rate of change from a graph.

Below are free printable worksheets that support HSF-IF.B.6. Print them as PDFs, or generate a fresh one. Every math answer key is computed in code, so it is never wrong.

Teaching guide

What students learn

Calculate and interpret the average rate of change of a function over a specified interval, and estimate the rate of change from a graph.

Worked example
A cyclist's distance-time graph is plotted from home: distance is 0 km at 0 minutes, 36 km at 80 minutes, still 36 km at 91 minutes, and back to 0 km at 199 minutes. Find the average speed for the FIRST stage of the journey (0 to 80 minutes), in km/h.
Answer: 27 km/h
Why: Average speed = distance / time. The first stage covers 36 km in 80 minutes, which is 8060 hours. Speed = 36 / (8060) = 36 x 60 / 80 = 27 km/h.

Generated and checked in code, so it is correct.

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More Algebra 1 standards: HSA-REI.B.4.a · HSA-REI.B.4.b · HSA-APR.A.1 · HSF-LE.A.1.a · HSF-LE.A.1.c · HSF-LE.A.2 · HSN-RN.A.1 · HSN-RN.A.2
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