Algebra 1

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1.The Language and Tools of Algebra

1.1.Variables and Expressions

 Using Algebraic Equations
 Using Algebraic Expressions

1.2.Order of Operations

 Order of Operations

1.4.Identity and Equality Properties

 Modeling One-Step Equations - Activity A
 Modeling and Solving Two-Step Equations
 Solving Formulas for any Variable
 Solving Two-Step Equations

1.7.Logical Reasoning and Counterexamples

 Biconditional Statement
 Conditional Statement

1.9.Functions and Graphs

 Distance-Time Graphs
 Distance-Time and Velocity-Time Graphs
 Functions Involving Square Roots
 Introduction to Functions
 Polynomials and Linear Factors
 Unit Circle
 Using Tables, Rules and Graphs

2.Solving Linear Equations

2.1.Writing Equations

 Using Algebraic Equations

2.2.Solving Equations by Using Addition and Subtraction

 Modeling One-Step Equations - Activity A
 Modeling and Solving Two-Step Equations
 Solving Formulas for any Variable
 Solving Two-Step Equations

2.3.Solving Equations by Using Multiplication and Division

 Modeling One-Step Equations - Activity A
 Modeling and Solving Two-Step Equations
 Solving Formulas for any Variable
 Solving Two-Step Equations

2.4.Solving Multi-Step Equations

 Modeling and Solving Two-Step Equations
 Solving Two-Step Equations

2.5.Solving Equations with the Variable on Each Side

 Modeling One-Step Equations - Activity A
 Modeling and Solving Two-Step Equations
 Solving Equations By Graphing Each Side
 Solving Two-Step Equations

2.6.Ratios and Proportions

 Beam to Moon (Ratios and Proportions)
 Estimating Population Size
 Polling: Neighborhood

2.7.Percent of Change

 Percent of Change

2.8.Solving for a Specific Variable

 Modeling One-Step Equations - Activity A
 Modeling and Solving Two-Step Equations
 Solving Formulas for any Variable
 Solving Two-Step Equations

2.9.Weighted Averages

 Describing Data Using Statistics
 Mean, Median and Mode

3.Functions and Patterns

3.2.Representing Functions

 Introduction to Functions
 Using Tables, Rules and Graphs

3.3.Linear Functions

 Linear Functions

3.4.Arithmetic Sequences

 Arithmetic Sequences
 Arithmetic and Geometric Sequences

3.5.Proportional and Nonproportional Relationships

 Beam to Moon (Ratios and Proportions)
 Estimating Population Size
 Proportions and Common Multipliers

4.Analyzing Linear Equations

4.1.Rate of Change and Slope

 Slope - Activity B

4.2.Slope and Direct Variation

 Determining a Spring Constant
 Slope - Activity B

4.3.Graphing Equations in Slope-Intercept Form

 Using Tables, Rules and Graphs

4.4.Writing Equations in Slope-Intercept Form

 Using Tables, Rules and Graphs

4.6.Scatter Plots and Lines of Fit

 Correlation
 Lines of Best Fit Using Least Squares - Activity A
 Solving Using Trend Lines

4.7.Parallel and Perpendicular Lines

 Construct Parallel and Perpendicular Lines

5.Solving Systems of Linear Equations

5.1.Graphing Systems of Equations

 Modeling Linear Systems - Activity A
 Solving Linear Systems by Graphing
 Special Types of Solutions to Linear Systems
 Systems of Linear Equations - Activity A

5.3.Elimination Using Addition and Subtraction

 Special Types of Solutions to Linear Systems

5.4.Elimination Using Multiplication

 Special Types of Solutions to Linear Systems

5.5.Applying Systems of Equations

 Modeling Linear Systems - Activity A

6.Solving Linear Inequalities

6.1.Solving Inequalities by Addition and Subtraction

 Solving Linear Inequalities using Addition and Subtraction
 Solving Linear Inequalities using Multiplication and Division

6.2.Solving Inequalities by Multiplication and Division

 Solving Linear Inequalities using Addition and Subtraction
 Solving Linear Inequalities using Multiplication and Division

6.4.Solving Compound Inequalities

 Compound Inequalities
 Inequalities Involving Absolute Values

6.5.Solving Open Sentences Involving Absolute Value

 Inequalities Involving Absolute Values

6.6.Graphing Inequalities in Two Variables

 Inequalities Involving Absolute Values
 Linear Inequalities in Two Variables - Activity A
 Linear Programming - Activity A
 Systems of Linear Inequalities (Slope-intercept form) - Activity A

6.7.Graphing Systems of Inequalities

 Linear Programming - Activity A
 Systems of Linear Inequalities (Slope-intercept form) - Activity A

7.Polynomials

7.1.Multiplying Monomials

 Exponents and Power Rules
 Multiplying Exponential Expressions

7.2.Dividing Monomials

 Dividing Exponential Expressions

7.4.Adding and Subtracting Polynomials

 Addition of Polynomials - Activity A

7.5.Multiplying a Polynomial by a Monomial

 Multiplying Exponential Expressions

7.6.Multiplying Polynomials

 Polynomials and Linear Factors

7.7.Special Product

 Factoring Special Products

8.Factoring

8.1.Monomials and Factoring

 Factoring Special Products
 Modeling the Factorization of x2+bx+c

8.2.Factoring Using the Distributive Property

 Factoring Special Products
 Modeling the Factorization of x2+bx+c

8.3.Factoring Trinomials: x^2 + bx + c

 Factoring Special Products
 Modeling the Factorization of x2+bx+c

8.4.Factoring Trinomials: ax^2 + bx + c

 Factoring Special Products
 Modeling the Factorization of x2+bx+c

8.5.Factoring Differences of Squares

 Factoring Special Products

8.6.Perfect Squares and Factoring

 Factoring Special Products
 Modeling the Factorization of x2+bx+c

9.Quadratic and Exponential Functions

9.1.Graphing Quadratic Functions

 Parabolas - Activity A
 Roots of a Quadratic

9.2.Solving Quadratic Equations by Graphing

 Roots of a Quadratic

9.4.Solving Quadratic Equations by Using the Quadratic Formula

 Roots of a Quadratic

9.6.Growth and Decay

 Half-life

10.Radical Expressions and Triangles

10.1.Simplifying Radical Expressions

 Operations with Radical Expressions
 Simplifying Radicals - Activity A

10.2.Operations with Radical Expressions

 Operations with Radical Expressions
 Simplifying Radicals - Activity A

10.4.The Pythagorean Theorem

 Distance Formula - Activity A
 Geoboard: The Pythagorean Theorem
 Pythagorean Theorem - Activity A
 Pythagorean Theorem - Activity B

10.5.The Distance Formula

 Distance Formula - Activity A
 Geoboard: The Pythagorean Theorem
 Pythagorean Theorem - Activity A
 Pythagorean Theorem - Activity B

10.6.Similar Triangles

 Perimeters and Areas of Similar Figures
 Similar Figures - Activity A
 Similar Polygons

11.Rational Expressions and Equations

11.5.Dividing Polynomials

 Dividing Polynomials Using Synthetic Division

12.Data Analysis

12.1.Counting Outcomes

 Permutations

12.2.Permutations and Combinations

 Binomial Probabilities
 Permutations
 Permutations and Combinations

12.3.Probability of Compound Events

 Compound Independent Events
 Compound Independent and Dependent Events
 Independent and Dependent Events

12.4.Probability Distributions

 Binomial Probabilities

12.5.Probability Simulations

 Binomial Probabilities
 Geometric Probability - Activity A
 Probability Simulations
 Theoretical and Experimental Probability

Content correlation last revised: 5/7/2008