Learning Resource Type

Classroom Resource

Differential Equations Representing Growth and Decay Practice

Subject Area

Mathematics

Grade(s)

9, 10, 11, 12

Overview

This self-checking online assessment has 10 questions that will help students practice solving differential equations that represent exponential change. There are hints available on the screen, and there is an online scratchpad that students can use to work on 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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