Digital SAT Math

Lesson Plan

Interpreting exponential functions in context

Goals / Objectives

Interpret an exponential or quadratic model in its situation, stating what a parameter, input/output pair, point, interval or feature means as a sentence with units and a time reference

Interpret a and b of a·bˣ as the initial value and the per-period multiplier, converting b to a percent change in words

Interpret points and intervals of a labelled graph, and explain why constant percent growth produces increasing absolute growth

Interpret the vertex and intercepts of a quadratic model as quantities in the situation, choosing a form that displays a requested feature without computation

State why a model's valid domain can be narrower than its algebraic domain

Standards

"For a quadratic or exponential function that represents a context: • interpret the meaning of an input/output pair including an intercept or initial value, including situations where seeing structure provides an advantage." "• interpret the meaning of a constant, variable, factor, or term based on the context, including situations where seeing structure provides an advantage." "For a quadratic or exponential function in a context: • interpret parts of the graph (other than a point or intercept)." "• interpret a point on the graph." "Make connections between a table, an algebraic representation, or a graph of a: • quadratic or exponential function that does not involve a transformation, in a context."

Academic Vocabulary

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Materials

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Enrichment

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Accommodations

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Anticipatory Set / Bell Work

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Check for Understanding

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Guided Practice

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Independent Practice

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Pacing

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