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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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1.1.1 Solving Puzzles in Teams
1.1.2 Investigating the Growth of Patterns
1.1.3 Investigating the Graphs of Quadratic Functions
1.2.1 Describing a Graph
1.2.2 Cube Root and Absolute Value Functions
1.2.3 Function Machines
1.2.4 Functions
1.2.5 Domain and Range
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
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
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3.3.1 Absolute Value Tutorial
3.3.2 Working with Multi-Variable Equations
3.3.3 Summary of Solving Equations
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
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
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5.2.3 Recursive Tutorial
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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6.1.1 Line of Best Fit
6.1.2 Residuals
6.1.3 Upper & Lower Bounds
6.1.4 Least Squares Regression Line
6.2.1 Residual Plots
6.2.2 Correlation
6.2.3 Association in Not Causation
6.2.4 Interpreting Correlation in Context
6.2.5 Curved Best-Fit Models
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
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
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
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
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
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Section 9.4: Story Problems
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