Algebra II Module 2: Transformations

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Lessons
Lesson Summary
For virtual manipulatives for Algebra II, please see: http://nlvm.usu.edu/en/nav/grade_g_4.html

Quick-Draw Template

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This is not a single lesson, but a template to use for practice and assessment throughout Algebra II. Teachers may choose to use this template to create their own equations for a specific function or for a review of several functions.

Using Apps to explore Transformations In this lesson, students explore the characteristics of transformations using the transform program in the Apps menu on the TI 84 calculator.

Graphing Absolute Value Functions
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In this lesson, students explore the graphs of absolute value functions. They learn to use transformations to graph vertical shifts, horizontal shifts, reflections, and vertical stretches of y = |x|.

Graphing Square Roots

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In this lesson, students learn to graph the parent function for square roots, . Then, they use their knowledge of graphing by transformation to create a book that describes the vertical stretch, the reflection, and the horizontal and vertical shift transformations on this function.

Graphing Quadratic Functions

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In this lesson, students explore the transformations of the graph y = x2 using graphing calculator and simply plotting points. Identifying the vertex and line of symmetry is emphasized throughout the lesson. Students have an opportunity to graph a quadratic function, given the equation, and also to write the equation of a quadratic function, given the graph of the function.

Quick-Draw McGraw

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This is not a single lesson, but a set of exercises to help student become fluent in graphing linear, quadratic, absolute value, and square root functions using transformations. The worksheets can be used as a template to create more exercises for the graphs of sine and cosine functions.

Transformation Matching Game 

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In this lesson, students explore matching tables, graphs, equations and words. They use their knowledge of plotting points and transformations to make connections. As a summary, students could write about their knowledge of functions and transformations.