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AuthorDean Thompson: Actively pursuing academic excellence by empowering students. Archives
May 2013
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Algebra: Core Connections
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Chapter 0: Appendix
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- A.1.1 Exploring Variables & Combining Like Terms
- A.1.2 Simplifying Expressions by Combining Like Terms
- A.1.3 Writing Algebraic Expression
- A.1.4 Using Zero to Simplify Algebraic Expressions
- A.1.5 Using Algebra Tiles to Simplify
- A.1.6 Using Algebra Tiles to Compare Expressions
- A.1.7 Simplifying & Recording Work
- A.1.8 Using Algebra Tiles to Solve for x
- A.1.9 More Solving Equaitons
- Chapter 1: Functions >
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Chapter 2: Linear Relationships
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- 2.1.1 Seeing Growth in Linear Relationships
- 2.1.2 Slope
- 2.1.3 Comparing "Delta Y" & "Delta X"
- 2.1.4 "y=mx+b" and More on Slope
- 2.2.1 Slope as Motion
- 2.2.2 Rate of Change
- 2.2.3 Equations of Lines in Situations
- 2.3.1 Finding an Equation Given a Slope & a Point
- 2.3.2 Finding the Equation of a Line Through 2 Points
- Extension Activity: Finding y=mx+b from Graphs & Tables
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Chapter 3: Simplifying and Solving
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- 3.1.1 Simplifying Exponential Expressions
- 3.1.2 Zero & Negative Exponents
- 3.2.1 Equations & Algebra Tiles
- 3.2.2 Exploring an Area Model
- 3.2.3 Multiplying Binomials & Distributive Property
- 3.2.4 Using Generic Rectangles to Multiply
- 3.3.1 Solving Equations With Multiplication & Absolute Value >
- 3.3.2 Working with Multi-Variable Equations
- 3.3.3 Summary of Solving Equations
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Chapter 4: Systems of Equations
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- 4.1.1 Solving Word Problems by Writing Equations
- 4.1.2 One Equation or Two?
- 4.2.1 Solving Systems of Equations Using Substitution
- 4.2.2 Making Connections: Systems, Solutions, & Graphs
- 4.2.3 Solving Systems Using Elimination
- 4.2.4 More Elimination
- 4.2.5 Choosing a Strategy for Solving Systems
- 4.3.1 Putting it all Together
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Chapter 5: Sequences
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- 5.1.1 Representing Exponential Growth
- 5.1.2 Rebound Ratios
- 5.1.3 The Bouncing Ball & Exponential Decay
- 5.2.1 Generating & Investigating Sequences
- 5.2.2 How Do Arithmetic Sequences Work
- 5.2.3 Recursive Sequences >
- 5.3.1 Patterns of Growth in Tables & Graphs
- 5.3.2 Using Multipliers to Solve Problems
- 5.3.3 Comparing Sequences to Functions
- Chapter 6: Modeling 2-Variable Data >
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Chapter 7: Exponential Functions
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- 7.1.1 Investigation y=b^x
- 7.1.2 Multiple Representations of Exponential Functions
- 7.1.3 More Applications of Exponential Growth
- 7.1.4 Exponential Decay
- 7.1.5 Graph -> Equation
- 7.1.6 Completing the Multiple Representations Web
- 7.2.1 Curve Fitting & Fractional Exponents
- 7.2.2 More Curve Fitting
- 7.2.3 Solving a Systems of Exponential Functions Graphically
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Chapter 8: Quadratic Functions
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- 8.1.1 Introduction to Factoring Quadratics
- 8.1.2 Factoring with Generic Rectangles
- 8.1.3 Factoring Special Cases
- 8.1.4 Factoring Completely
- 8.1.5 Factoring Shortcuts
- 8.2.1 Multiple Representations for Quadratic Functions
- 8.2.2 Zero Product Property
- 8.2.3 More Ways to Find the x-intercepts
- 8.2.4 Completing the Quadratic Web
- 8.2.5 Completing the Square
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Chapter 9: Solving Quadratics and Inequalities
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- 9.1.1 Solving Quadratic Equations
- 9.1.2 Intro Quadratic Formula
- 9.1.3 More Solving Quadratic Equations
- 9.1.4 Choosing a Strategy
- 9.2.1 Solving Linear, One-Variable Inequalities
- 9.2.2 More Solving Inequalities
- 9.3.1 Graphing 2-Variable Inequalities
- 9.3.2 Graphing Linear & Non Inequalities
- 9.4.1 Systems of Inequalities
- 9.4.2 More Systems of Inequalities
- 9.4.3 Applying Inequalities to Solve Problems
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Chapter 10: Solving Complex Equations
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- 10.1.1 Association in 2 Way Tables
- 10.2.1 Solving by Rewriting
- 10.2.2 Fraction Busters
- 10.2.3 Multiple Methods for Solving Equations
- 10.2.5 Determining the Quadratic Formula & the Number System
- 10.2.4 Determining the # of Solutions
- 10.2.6 More Solving & an Application
- 10.3.1 Intersection of 2 Functions
- 10.3.2 Number of Parabola Intersections
- 10.3.3 Solving Quadratic & Absolute Value Inequalities
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Chapter 11: Quadratics & Other Polynomials
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- 11.1.1 Transforming Functions
- 11.1.2 Inverse Functions
- 11.2.1 Investigating Data Representations
- 11.2.2 Comparing Data
- 11.2.3 Standard Deviation
- 11.3.1 Using a Best-Fit Line to Make a Prediciton
- 11.3.2 Relation Treasure Hunt
- 11.3.3 Investigating a Complex Function
- 11.3.4 Using Algebra to Find a Maximum
- 11.3.5 Exponential Functions & Linear Inequalities
- Exam Reviews
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Chapter 0: Appendix
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Algebra: Core Connections
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- Common Core State Standards
- ACT Prep
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