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## CC Alg I Units 3 and 4 Review SMART Notebook Files – by Julie Merana-Spanarelli

Our good friend and frequent contributor Julie, from Central Islip, is back again with a great gift heading into the review portion of the year. She has created SMART Notebook files for Units 3 and 4 Reviews that we put out recently. You can access the reviews at:

Comprehensive Unit Reviews – by Kirk

Julie does a lot of great things with animations within these files, so experiment with all of the pieces of the files if you are an experienced SMART Board user. Here are her files:

Unit-3.Functions Review Smart

Unit-4.Linear-Functions-and-Arithmetic-Sequences.Review

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## CC Alg I Unit #4 (Linear Functions) SMART Notebook Files – by Julie Merana-Spanarelli

Julie Merana-Spanarelli, from Central Islip High School, has been sending us SMART Notebook files to share. Here’s her contribution for Unit #4 on Linear Functions. Take a look if you use a SMART Board at school.

Thanks Julie!

CCAlg1-U4L1-Proportional Relationships

CCAlg1-U4L2 Unit Conversions

CCAlg1-U4L3-Nonproportional-Linear-Relationships Smart

CCAlg1-U4L4-More-Work-Graphing-Linear-Functions-Lines Smart

CCAlg1-U4L5-Writing-Equations-in-Slope-Intercept-Form Smart

CCAlg1-U4L6-Modeling-with-Linear-Functions Smart

CCAlg1-U4L7-More-Linear-Modeling Smart

CCAlg1-U4L8-Strange-Lines-Vertical-and-Horizontal Smart

CCAlg1-U4L9-Absolute-Value-and-Step-Functions Smart

CCAlg1-U4L11-Graphs-of-Linear-Inequalities Smart

CCAlg1-U4L12 Introduction to Sequences

CCAlg1-U4L13-Arithmetic-Sequences Smart

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## Unit #4.Lesson #13.Arithmetic Sequences

In this lesson we see the classic arithmetic sequence. Its definition is given recursively and we then eventually develop the explicit formula for predicting the nth term of an arithmetic sequence. We conclude the lesson with the classic example of seats in an amphitheater increasing in number in an arithmetic fashion.

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## Unit #4.Lesson #12.Introduction to Sequences

In this lesson we introduce the basic sequence notation, but function and subscript notations. Rules are given both explicitly and recursively. Students also see the discrete graphs of sequences. I like this lesson and think it is a good, but gentle, introduction to the tricky topic of sequences.

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## Unit #4.Lesson #11.Graphs of Linear Inequalities

In this lesson, we develop the theory behind graphing half the coordinate plane described by a linear inequality in one or two variables. The concept is conceptually developed based on the truth value of the inequality and then the standard graphing algorithm is developed and practiced.

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## Unit #4.Lesson #10.The Truth About Graphs

In this lesson I really try to reiterate perhaps the most important fact connecting equations to graphs. That is a point (x,y) lies on the graph of an equation or inequality if and only if it makes that inequality true. I also introduce students how to think about solutions to systems by considering solutions to each individual equation or inequality.

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## Unit #4.Lesson #9.The Absolute Value and Step Functions

In this lesson we take a first look at two functions that are related to linear functions: the absolute value and the step function. Each is rich in its own right and I try to give the classic example of a ticket price that rises in a step fashion.