## Springboard Mathematics: Algebra 1

• Publisher: College Board 2014
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### 1: Equations and Inequalities

#### 1.1: Investigating patterns - Cross-Country Adventures

1.1.1: Numeric and Graphic Representations of Data

1.1.2: Writing Expressions

#### 1.2: Solving Equations - What's My Number?

1.2.1: Writing and solving Equations

1.2.2: Equations with Variables on Both Sides

1.2.3: Solving More Complex Equations

1.2.5: Solving Literal Equations for a Variable

#### 1.3: Solving Inequalities - Physical Fitness Zones

1.3.1: Inequalities and Their Solutions

1.3.2: Solving Inequalities

1.3.3: Compound Inequalities

#### 1.4: Absolute Value Equations and Inequalities - Student Distances

1.4.1: Absolute Value Equations

1.4.2: Absolute Value Inequalities

### 2: Functions

#### 2.5: Functions and Function Notation - Vending Machines

2.5.1: Relations and Functions

2.5.2: Domain and Range

#### 2.6: Interpreting Graphs of Functions - Shake, Rattle and Roll

2.6.1: Key Features of Graphs

2.6.2: More Complex Graphs

2.6.3: Graphs of Real-World Situations

#### 2.7: Graphs of Functions - Experiment Experiences

2.7.1: The Spring Experiment

2.7.2: The Falling Object Experiment

2.7.3: The Radioactive Decay Experiment

#### 2.8: Transformations of Functions - Transformers

2.8.1: Exploring f(x)-k

2.8.2: Exploring f(x + k)

#### 2.9: Rates of Change - Ramp It Up

2.9.1: Slope

2.9.2: Slope and Rate of Change

2.9.3: More About Slopes

#### 2.10: Linear Models - Stacking Boxes

2.10.1: Direct Variation

2.10.2: Indirect Variation

2.10.3: Another Linear Model

2.10.4: Inverse Functions

#### 2.11: Arithmetic Sequences - Picky Patterns

2.11.1: Identifying Arithmetic Sequences

2.11.2: A Formula for Arithmetic Sequences

2.11.3: Arithmetic Sequences as Functions

2.11.4: Recursive Formulas

#### 2.12: Forms of Linear Functions - Under Pressure

2.12.1: Slope - Intercept Form

2.12.2: Point - Slope Form

2.12.3: Standard Form

2.12.4: Slopes of Parallel and Perpendicular Lines

#### 2.13: Equations from data - Pass the Book

2.13.1: Scatter Plots and Trend Lines

2.13.2: Linear Regression

### 3: Extensions of Linear Concepts

#### 3.14: Piecewise-Defined Linear Functions - Breakfast for Bowser

3.14.2: Writing Functions and Finding Domain and Range

#### 3.15: Comparing Equations - A Tale of a Trucker

3.15.1: Writing Equations from Graphs and Tables

3.15.3: Writing Equations from Verbal Descriptions

#### 3.16: Inequalities in Two Variables - Shared Storage

3.16.1: Writing and Graphing Inequalities in Two Variables

3.16.2: Graphing Inequalities in Two Variables

#### 3.17: Solving Systems of Linear Equations - A Tale of Two Truckers

3.17.1: The Graphing Method

3.17.2: Using Tables and the Substitution Method

3.17.3: The Elimination Method

3.17.4: Systems Without a Unique Solution

3.17.5: Classifying Systems of Equations

#### 3.18: Solving Systems of Linear Inequalities - Which Region is it?

3.18.2: Interpreting the Solution of a System of Inequalities

### 4: Exponents, Radicals, and Polynomials

#### 4.19: Exponent Rules - Icebergs and Exponents

4.19.1: Basic Exponent Properties

4.19.2: Negative and Zero Powers

4.19.3: Additional Properties of Exponents

#### 4.20: Operations with Radicals - Go Fly a Kite

4.20.1: Radical Expressions

4.20.2: Adding and Subtracting Radical Expressions

#### 4.21: Geometric Sequences - Go Viral!

4.21.1: Identifying Geometric Sequences

4.21.2: Formulas for Geometric Sequences

#### 4.22: Exponential Functions - Protecting Your Investment

4.22.1: Exponential Functions and Exponential Growth

4.22.2: Exponential decay

4.22.3: Graphs of Exponential Functions

#### 4.23: Modeling with Exponential Functions - Growing, Growing, Gone

4.23.1: Compound Interest

4.23.2: Population Growth

#### 4.24: Adding and Subtracting Polynomials - Polynomials in the Sun

4.24.2: Adding Polynomials

4.24.3: Subtracting Polynomials

#### 4.25: Multiplying Polynomials - Tri-Com Computers

4.25.3: Multiplying Polynomials

#### 4.26: Factoring - Factors of Construction

4.26.1: Factoring by Greatest Common Fact (GCF)

4.26.2: Factoring Special Products

#### 4.27: Factoring Trinomials - Deconstruction Floor Plans

4.27.1: Factoring x² + bx + c

4.27.2: Factoring ax² + bx + c

#### 4.28: Simplifying Rational Expressions - Totally Rational

4.28.2: Dividing Polynomials

### 5: Quadratic Functions

#### 5.29: Introductions to Quadratic Functions - Touchlines

5.29.1: Modeling with Quadratic Functions

5.29.2: Graphing and Analyzing a Quadratic Function

#### 5.30: Graphing Quadratic Functions - Transformers

5.30.1: Translations of the Quadratic Parent Function

5.30.2: Stretching and Shrinking the Quadratic Parent Function

5.30.3: Multiple Transformations of the Quadratic Parent Function

#### 5.31: Solving Quadratic Equations by Graphing and Factoring - Trebuchet Trials

5.31.1: Solving by Graphing or Factoring

5.31.2: The Axis of Symmetry and the Vertex

5.31.3: Graphing a Quadratic Function

#### 5.32: Algebraic Methods of Solving Quadratic Equations - Keeping it Quadratic

5.32.1: The Square Root method

5.32.2: Completing the Square

5.32.3: The Quadratic Formula

5.32.4: Choosing a Method and using the Discriminate

5.32.5: Complex Solutions

#### 5.34: Modeling with Functions - Photo App

5.34.1: Constructing Models

5.34.2: Comparing Models

5.34.3: Extending Models

### 6: Probability and Statistics

#### 6.36: Measures of Center and Spread - To Text, or Not to Text

6.36.1: Mean, Median, Mode and MAD

6.36.2: Another Measure of Variability

#### 6.37: Dot and Box Plots and the Normal Distribution - Disturbing Coyotes

6.37.1: Dots Plots and Box Plots

6.37.2: Modified Box Plots

6.37.3: Normally Distributed

#### 6.38: Correlation - What's the Relationship?

6.38.1: Scatter Plots

6.38.2: Correlation Coefficient

#### 6.39: The Best-Fit Line - Regressing Linearly

6.39.1: Line of the Best fit

6.39.2: Residuals

6.39.3: Interpreting the Slope and Intercept of the Best-Fit Line

6.39.4: Plotting Residuals

Content correlation last revised: 2/16/2016