ACT Math
Lesson Plan
Domain and range
Goals / Objectives
Define domain as the set of valid input values and range as the set of output values those inputs produce
Read the domain and range of a function from its graph using a two-sweep method, reporting both as inequalities
State the domain of a polynomial function as all real numbers, and explain why
Find the domain of a rational function by setting the denominator equal to zero, solving, and excluding the solutions
Locate the vertical asymptotes of a rational function's graph from its excluded inputs
Find the range of a polynomial function, distinguishing the odd-degree case (all reals) from the even-degree case (bounded by the vertex)
Standards
F 506. Understand the concept of domain and range in terms of valid input and output, and in terms of function graphs F 508. Find the domain of polynomial functions and rational functions F 509. Find the range of polynomial functions F 510. Find where a rational function's graph has a vertical asymptote A 513. Determine when an expression is undefined F 505. Understand the concept of a function as having a well-defined output value at each valid input value
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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Modeling
Check for Understanding
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Guided Practice
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Homework
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