Lesson Plan: Cubic Functions and Their Graphs Mathematics • 10th Grade

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 𝑓(𝑥)=𝑥,
  • recognize transformations (translations, dilations, and combinations of these) of the cubic function 𝑓(𝑥)=𝑥, 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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