Learning Resource Type

Classroom Resource

Average and Instantaneous Rates of Change Practice

Subject Area

Mathematics

Grade(s)

9, 10, 11, 12

Overview

This self-checking online assessment has 10 questions that will help students practice calculating and interpreting the average rate of change of a function. There are hints available on the screen, and there is an online scratchpad that students can use to work the problems.

    Mathematics (2019) Grade(s): 09-12 - Precalculus

    MA19.PRE.25

    Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. Extend from polynomial, exponential, logarithmic, and radical to rational and all trigonometric functions.

    Unpacked Content

    UP:MA19.PRE.25

    Vocabulary

    • Average rate of change
    • Specified interval
    • Difference Quotient

    Knowledge

    Students know:
    • Techniques for graphing.
    • Techniques for finding a rate of change over an interval on a table or graph.
    • Techniques for estimating a rate of change over an interval on a graph.

    Skills

    Students are able to:
    • Calculate average rate of change on a specified interval when given an equation or table ofa polynomial, exponential, logarithmic, and radical to rational and all trigonometric functions.
    • Interpret the average rate of change of a polynomial, exponential, logarithmic, and radical to rational and all trigonometric functions in the context of a problem when given symbolic representations, tables, graphs, or contextual situations.
    • Estimate the average rate of change for a specific interval of a polynomial, exponential, logarithmic, and radical to rational and all trigonometric functions functions when given agraph.

    Understanding

    Students understand that:
    • The rate of change is the ratio of the change between the dependent and independent variable.
    Link to Resource

    CR Resource Type

    Assessment

    Resource Provider

    CK-12
    Accessibility
    License

    License Type

    Custom
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