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Lesson Plan: Cubic Functions and Their Graphs
Mathematics • Second Year of Secondary School
This lesson plan includes the objectives, prerequisites, and exclusions of
the lesson teaching students how to graph cubic functions, write their rules from their graphs, and identify their features.
Objectives
Students will be able to
graph and recognize the standard cubic function ,
recognize transformations (translations, dilations, and combinations of these) of the cubic function ,
both graphically and algebraically,
identify the equation of a transformation of the standard cubic function from its graph or graph a transformation of the standard cubic function from its equation,
recognize features of the standard cubic function and its transformations, including the point of rotational symmetry, its end behavior, and its monotonicity.
Prerequisites
Students should already be familiar with
how to graph equations using an input/output table,
linear and quadratic equations and their graphs.
Exclusions
Students will not cover
domain and range of cubic functions,
cubic functions that are not transformations of the standard cubic function,
solving cubic equations graphically,
noncubic functions.
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