ACT Math

Lesson Plan

Function notation and evaluation

Goals / Objectives

Read $f(x)$ as the output value of the function $f$ at input $x$, and explain by counterexample why it does not mean $f$ times $x$

Evaluate linear, quadratic, and polynomial functions at integer inputs, including negative inputs, using a parenthesized substitution step

Evaluate a function at an expression input such as $f(a+1)$ or $f(3x)$

Solve $f(x) = k$ for $x$, and distinguish that task from evaluating $f(k)$

Translate a function-notation statement into a sentence about its context, and a sentence back into notation

Read and evaluate two-variable notation $f(x, y)$, and explain why the order of the inputs matters

Standards

F 401. Evaluate linear and quadratic functions, expressed in function notation, at integer values F 501. Evaluate polynomial functions, expressed in function notation, at integer values F 507. Interpret statements that use function notation in terms of their context F 511. Use function notation for simple functions of two variables F 505. Understand the concept of a function as having a well-defined output value at each valid input value A 403. Solve routine first-degree equations

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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