Algebra II Module 1: Systems of Equations

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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
Linear Function Foldable Review Students create a booklet (foldable) to organize important learning about linear functions.

Understanding Graphs

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In this lesson, students must match verbal descriptions to distance/time graphs and then create stories to go with distance/time graphs. They also match graphs from calculators and CBRs by moving toward and away from a wall.

Rental Cars and Linear Functions

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In this lesson, students compare the pricing plans for two car rental companies. They use the pricing plans to create two linear functions. They look at the functions numerically, algebraically and graphically.
Shifting Funds Students use a story context to create numeric, symbolic and graphical representations of linear functions. They compare various equations to answer questions relating to the story context.

Piece-wise Linear Functions

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In this lesson students develop an understanding of piece-wise linear functions by relating the graphs to familiar situations. Situations are represented numerically, graphically and algebraically. Students use the CBR to create piece-wise graphs and write their own piece-wise functions.
Bathtub Piece-wise Functions This lesson has students match verbal descriptions of piece-wise functions and their graphs based on the level of water in a bathtub.

Y1/Y2 Comparison

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In the first part of the lesson, students are asked to find the intersection between two linear or absolute value functions, values of the functions and regions where one function is greater than the other, given the graphs of the functions. Questions are asked using function notation. In the second part of the lesson, students are given two linear equations and are asked to find the intersection algebraically, and then to solve in inequality using the two functions.

Absolute Value: Equations and Inequalities

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This lesson systematically develops the idea of absolute value as distance from zero on the number line, and uses understanding of this concept to solve single-variable absolute value equations and inequalities.

Matrices: Manufacturing Toys

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In this lesson, students use matrices to organize information and basic matrix operations, addition and multiplication, to solve problems related to manufacturing toys.