Honors Algebra I

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Course Description

Description

This rigorous course, drawing on software provided by Thinkwell, delivers a full-year honors curriculum and prepares students for Honors Geometry and Honors Algebra II. Beginning with a brief review of pre-algebra concepts, students move quickly through familiar content. Real-life applications help students to understand the importance of algebra in our world.

Topics include:

• real number system
• solving equations and inequalities
• polynomials and exponents
• factoring and applications
• rational expressions
• graphing linear equations
• solving linear systems
• roots and radicals
• quadratic equations

Timelines

This course offers 9-month, 6-month, and 3-month timelines as guidelines for students to follow in order to finish within their desired time frame.

Materials Needed

Graphing calculator recommended, such as TI-83 PLUS or TI-84 PLUS.

List of Topics

The Real Numbers

• Properties, Identities, & Inverses
• An Introduction to Exponents
• Evaluating Exponential Expressions
• Working with Fractions
• Concepts of Inequality
• Inequalities and Interval Notation
• Properties of Absolute Value
• Evaluating Absolute Value Expressions
• Operations Considering Signs
• Prime and Composite Numbers and Their Roots
• Order of Operations
• Forms of Conditional Statements
• Inductive Reasoning

Equations and Inequalities

• An Introduction to Solving Equations
• Equalities and Identities
• Equivalent Equations and Equations with No Solution
• Solving Linear Equations
• An Introduction to Solving Word Problems
• Finding Perimeter
• Solving a Linear Geometry Problem
• Solving for Constant Velocity
• Solving a Business Problem
• Solving a Mixture Problem
• Solving an Investment Problem
• Solving for Consecutive Numbers
• Finding an Average
• An Introduction to Solving Inequalities
• Solving Inequalities
• Solving Word Problems with Inequalities
• Sets, Intersections, and Unions
• Solving Compound Inequalities
• Matching Number Lines with Absolute Value
• Solving Absolute Value Equations
• Solving Equations with Two Absolute Value Expressions
• Solving Absolute Value Inequalities

Introduction to Graphing

• Using the Cartesian System
• An Introduction to Slope
• Finding the Slope Given Two Points
• Finding the Distance and Midpoint between Two Points
• The Center-Radius Equation of a Circle
• The Circle Formula

Graphing Linear Equations

• Using Intercepts to Graph Lines
• Working with Specific Lines
• Interpreting Slope from a Graph
• Graphing with a Point and the Slope
• Writing an Equation in Slope-Intercept Form
• Writing an Equation Given Two Points
• Writing an Equation in Point-Slope Form
• Matching a Point-Slope Equation with its Graph
• Slope for Parallel and Perpendicular Lines
• Constructing a Linear Model from a Set of Data
• Scatterplots and Predictions
• Interpreting Line Graphs
• Linear Cost and Revenue

Systems of Equations

• An Introduction to Linear Systems
• Solving a System by Graphing
• Solving a System by Substitution
• Solving a System by Elimination
• An Introduction to Systems in Three Variables
• Solving Systems with Three Variables
• Inconsistent Systems
• Dependent Systems
• Solving Systems with Two Equations
• Investments
• An Introduction to Graphing Linear Inequalities
• Graphing Inequalities with Two Variables
• Graphing the Solution Set of a System of Inequalities

Exponents and Polynomials

• Applying the Rules of Exponents
• Evaluating Expressions with Negative Exponents
• Converting between Decimal and Scientific Notation
• Determining Components and Degree
• Adding and Subtracting Polynomials
• Multiplying Polynomials
• The FOIL Method
• Multiplying Big Products
• Using Special Products
• Factoring Using the Greatest Common Factor
• Factoring by Grouping
• Factoring Trinomials
• Factoring Perfect Square Trinomials
• Factoring the Difference of Two Squares
• Factoring Sums and Differences of Cubes
• Factoring by Several Methods
• The Zero Factor Property
• Using Long Division with Polynomials

Rational Expressions

• An Introduction to Rational Expressions
• Writing Rational Expressions in Lowest Terms
• Multiplying and Dividing Rational Expressions
• Adding and Subtracting Rational Expressions
• Rewriting Complex Fractions
• Solving a Linear Equation with Rationals
• Solving a Linear Equation with Restrictions
• Solving Rational Inequalities
• Determining Domain
• Problems involving Work
• Resistors in Parallel
• An Introduction to Variation
• Direct Proportion
• Inverse Proportion
• Joint and Combined Proportion

Roots and Radicals

• Radical Notation and Properties of Roots
• Variables and Negative Values under a Radical
• Converting Rational Exponents and Radicals
• Simplifying Radicals
• Simplifying Radical Expressions with Variables
• Adding and Subtracting Radical Expressions
• Rationalizing Denominators
• Solving an Equation Containing a Radical
• Solving Equations with Two Radical Expressions
• Extraneous Roots
• Solving Equations with Rational Exponents
• Finding the Length of the Diagonal of a Cube
• Applications in Meteorology
• An Introduction to Complex Numbers
• Writing Complex Numbers
• Rewriting Powers of i
• Adding and Subtracting Complex Numbers
• Multiplying Complex Numbers
• Dividing Complex Numbers

Relations and Functions

• Introducing Relations and Functions
• Function Notation and Values
• Functions and the Vertical Line Test
• Finding Domain and Range
• Satisfying the Domain of a Function
• Graphing Important Functions
• An Introduction to Quadratics
• Solving Quadratics by Factoring
• Finding x- and y-Intercepts
• Graphing Parabolas
• Solving by Completing the Square
• Finding the Vertex by Completing the Square
• Using the Vertex to Write the Equation
• Building a Polynomial Equation from Its Solutions
• Deriving the Quadratic Formula
• Using the Quadratic Formula
• Predicting the Type of Solution from the Discriminant
• Using the Discriminant to Graph Parabolas
• Solving for a Squared Variable
• Finding Real Number Restrictions
• Quadratic Geometry Problems
• The Pythagorean Theorem
• Motion Problems
• Projectile Problems

Quadratic Equations

• An Introduction to Quadratics
• Solving Quadratics by Factoring
• Finding x- and y- Intercepts
• Graphing Parabolas
• Solving by Completing the Square
• Finding the Vertex by Completing the Square
• Using the Vertex to Write the Equation
• Building a Polynomial Equation from Its Solutions
• Deriving the Quadratic Formula
• Using the Quadratic Formula
• Predicting Types of Solutions from the Discriminant
• Using the Discriminant to Graph Parabolas
• Solving for a Squared Variable
• Finding Real Number Restrictions
• Solving a Quadratic Geometry Problem
• Solving with the Pythagorean Theorem
• Solving a Motion Problem
• Solving a Projectile Problem

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System Requirements

CTYOnline courses require a properly-maintained computer with Internet access and a recent-version web browser (such as Firefox, Safari, or Internet Explorer) with the Adobe Flash plugin. Students are expected to be familiar with standard computer operations (e.g. login, cut & paste, email attachments, etc).

This course requires high-speed Internet access (such as Cable or DSL) for online lesson videos. Your browser will need to allow javascript, login cookies, and popup windows from ctyjhu.org, bluejay.cty.jhu.edu, and any other course web sites.

You may also need the Java Runtime Environment.

9 Month, 6 Month, and 3 Month Timelines

Timelines

• Honors Algebra I – 9 Month Timeline
• Honors Algebra I – 6 Month Timeline
• Honors Algebra I – 3 Month Timeline

Honors Algebra I – 9 Month Timeline

Week 1

• 1.1.1 Properties, Identities, & Inverses
• 1.2.1 An Introduction to Exponents
• 1.2.2 Evaluating Exponential Expressions
• 1.3.1 Working with Fractions

Week 2

• 1.4.1 Concepts of Inequality
• 1.4.2 Inequalities and Interval Notation
• 1.5.1 Properties of Absolute Value
• 1.5.2 Evaluating Absolute Value Expressions

Week 3

• 1.6.1 Operations Considering Signs
• 1.6.2 Prime and Composite Numbers and Their Roots
• 1.6.3 Order of Operations
• 1.7.1 Forms of Conditional Statements
• 1.7.2 Inductive Reasoning
• Chapter 1 Test

Week 4

• 2.1.1 An Introduction to Solving Equations
• 2.1.2 Equality or Identity?
• 2.1.3 Equivalent Equations and Equations with No Solution
• 2.1.4 Solving Linear Equations

Week 5

• 2.2.1 An Introduction to Solving Word Problems
• 2.2.2 Finding Perimeter
• 2.2.3 Solving a Linear Geometry Problem
• 2.2.4 Solving for Constant Velocity

Week 6

• 2.3.1 Solving a Business Problem
• 2.3.2 Solving a Mixture Problem
• 2.3.3 Solving an Investment Problem
• 2.3.4 Solving for Consecutive Numbers
• 2.3.5 Finding an Average

Week 7

• 2.4.1 An Introduction to Solving Inequalities
• 2.4.2 Solving Inequalities
• 2.4.3 Solving Word Problems with Inequalities
• 2.5.1 Sets, Intersections, and Unions
• 2.5.2 Solving Compound Inequalities

Week 8

• 2.5.3 More on Compound Inequalities
• 2.6.1 Matching Number Lines with Absolute Value
• 2.6.2 Solving Absolute Value Equations
• 2.6.3 Solving Equations with Two Absolute Value Expressions
• 2.7.1 Solving Absolute Value Inequalities
• 2.7.2 Solving Absolute Value Inequalities: More Examples
• Chapter 2 Test

Week 9

• 3.1.1 Using the Cartesian System
• 3.1.2 Thinking Visually
• 3.2.1 An Introduction to Slope
• 3.2.2 Finding the Slope Given Two Points
• 3.3.1 Finding the Distance and Midpoint between Two Points
• 3.4.1 The Center-Radius Equation of a Circle
• 3.4.2 Decoding the Circle Formula
• Chapter 3 Test

Week 10

• 4.1.1 Using Intercepts to Graph Lines
• 4.1.2 Working with Specific Lines
• 4.1.3 Interpreting Slope from a Graph
• 4.1.4 Graphing with a Point and the Slope

Week 11

• 4.2.1 Writing an Equation in Slope-Intercept Form
• 4.2.2 Writing an Equation Given Two Points
• 4.2.3 Writing an Equation in Point-Slope Form
• 4.2.4 Matching a Point-Slope Equation with its Graph
• 4.2.5 Slope for Parallel and Perpendicular Lines

Week 12

• 4.3.1 Constructing a Linear Model from a Set of Data
• 4.3.2 Scatterplots and Predictions
• 4.3.3 Interpreting Line Graphs
• 4.3.4 Linear Cost and Revenue
• Chapter 4 Test

Week 13

• 5.1.1 An Introduction to Linear Systems
• 5.1.2 Solving a System by Graphing
• 5.1.3 Solving a System by Substitution
• 5.1.4 Solving a System by Elimination

Week 14

• 5.2.1 An Introduction to Systems in Three Variables
• 5.2.2 Solving Systems with Three Variables
• 5.2.3 Solving Inconsistent Systems
• 5.2.4 Solving Dependent Systems
• 5.2.5 Solving Systems with Two Equations

Week 15

• 5.3.1 Investments
• 5.4.1 An Introduction to Graphing Linear Inequalities
• 5.4.2 Graphing Inequalities with Two Variables
• 5.4.3 Graphing the Solution Set of a System of Inequalities

Week 16

• Chapter 5 Test
• Midterm Exam

Week 17

• 6.1.1 Applying the Rules of Exponents
• 6.1.2 Evaluating Expressions with Negative Exponents
• 6.2.1 Converting between Decimal and Scientific Notation
• 6.3.1 Determining Components and Degree
• 6.3.2 Adding and Subtracting Polynomials
• 6.3.3 Multiplying Polynomials

Week 18

• 6.4.1 The FOIL Method
• 6.4.2 Multiplying Big Products
• 6.4.3 Using Special Products

Week 19

• 6.5.1 Factoring Using the Greatest Common Factor
• 6.5.2 Factoring by Grouping
• 6.5.3 Factoring Trinomials
• 6.5.4 Factoring Trinomials: More Examples

Week 20

• 6.6.1 Factoring Perfect Square Trinomials
• 6.6.2 Factoring the Difference of Two Squares
• 6.6.3 Factoring Sums and Differences of Cubes
• 6.6.4 Factoring by Any Method

Week 21

• 6.7.1 The Zero Factor Property
• 6.8.1 Using Long Division with Polynomials
• 6.8.2 Long Division: Another Example
• Chapter 6 Test

Week 22

• 7.1.1 An Introduction to Rational Expressions
• 7.1.2 Writing Rational Expressions in Lowest Terms
• 7.2.1 Multiplying and Dividing Rational Expressions

Week 23

• 7.2.2 Adding and Subtracting Rational Expressions
• 7.2.3 Rewriting Complex Fractions
• 7.3.1 Solving a Linear Equation with Rationals
• 7.3.2 Solving a Linear Equation with Restrictions

Week 24

• 7.4.1 Solving Rational Inequalities
• 7.4.2 Solving Rational Inequalities: Another Example
• 7.4.3 Determining Domain

Week 25

• 7.5.1 Solving a Problem About Work
• 7.5.2 Resistors in Parallel
• 7.6.1 An Introduction to Variation

Week 26

• 7.6.2 Direct Proportion
• 7.6.3 Inverse Proportion
• 7.6.4 Joint and Combined Proportion
• Chapter 7 Test

Week 27

• 8.1.1 Radical Notation and Properties of Roots
• 8.1.2 Variables and Negative Values under a Radical
• 8.1.3 Converting Rational Exponents and Radicals
• 8.2.1 Simplifying Radicals
• 8.2.2 Simplifying Radical Expressions with Variables

Week 28

• 8.3.1 Adding and Subtracting Radical Expressions
• 8.3.2 Rationalizing Denominators
• 8.4.1 Solving an Equation Containing a Radical
• 8.4.2 Solving Equations with Two Radical Expressions
• 8.4.3 Extraneous Roots
• 8.4.4 Solving Equations with Rational Exponents

Week 29

• 8.5.1 Introducing and Writing Complex Numbers
• 8.5.2 Rewriting Powers of i
• 8.5.3 Adding and Subtracting Complex Numbers
• 8.5.4 Multiplying Complex Numbers
• 8.5.5 Dividing Complex Numbers

Week 30

• 8.6.1 Finding the Length of the Diagonal of a Cube
• 8.6.2 Applications in Meteorology
• Chapter 8 Test

Week 31

• 9.1.1 Introducing Relations and Functions
• 9.1.2 Function Notation and Values
• 9.1.3 Functions and the Vertical Line Test
• 9.2.1 Finding Domain and Range
• 9.2.2 Domain and Range: An Explicit Example

Week 32

• 9.2.3 Satisfying the Domain of a Function
• 9.2.4 Graphing Important Functions
• Chapter 9 Test
• 10.1.1 An Introduction to Quadratics
• 10.1.2 Solving Quadratics by Factoring

Week 33

• 10.2.1 Finding x- and y-Intercepts
• 10.2.2 Nice-Looking Parabolas
• 10.2.3 Graphing Parabolas

Week 34

• 10.3.1 Solving by Completing the Square
• 10.3.2 Completing the Square: Another Example
• 10.3.3 Finding the Vertex by Completing the Square
• 10.4.1 Using the Vertex to Write the Equation
• 10.4.2 Building a Polynomial Equation from Its Solutions

Week 35

• 10.4.1 Using the Vertex to Write the Equation
• 10.4.2 Building a Polynomial Equation from Its Solutions
• 10.5.1 Proving the Quadratic Formula
• 10.5.2 Using the Quadratic Formula

Week 36

• 10.5.3 Predicting Types of Solution from the Discriminant
• 10.5.4 Using the Discriminant to Graph Parabolas
• 10.6.1 Solving for a Squared Variable
• 10.6.2 Finding Real Number Restrictions

Week 37

• 10.7.1 Solving a Quadratic Geometry Problem
• 10.7.2 Solving with the Pythagorean Theorem
• 10.7.3 Solving a Motion Problem
• 10.7.4 Solving a Projectile Problem
• 10.7.5 Solving Other Problems

Week 38

• Chapter 10 Test
• Practice Exam

Week 39

• Final Exam

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Honors Algebra I – 6 Month Timeline

Week 1

• 1.1.1 Properties, Identities, & Inverses
• 1.2.1 An Introduction to Exponents
• 1.2.2 Evaluating Exponential Expressions
• 1.3.1 Working with Fractions
• 1.4.1 Concepts of Inequality
• 1.4.2 Inequalities and Interval Notation

Week 2

• 1.5.1 Properties of Absolute Value
• 1.5.2 Evaluating Absolute Value Expressions
• 1.6.1 Operations Considering Signs
• 1.6.2 Prime and Composite Numbers and Their Roots
• 1.6.3 Order of Operations
• 1.7.1 Forms of Conditional Statements
• 1.7.2 Inductive Reasoning
• Chapter 1 Test

Week 3

• 2.1.1 An Introduction to Solving Equations
• 2.1.2 Equality or Identity?
• 2.1.3 Equivalent Equations and Equations with No Solution
• 2.1.4 Solving Linear Equations
• 2.2.1 An Introduction to Solving Word Problems
• 2.2.2 Finding Perimeter
• 2.2.3 Solving a Linear Geometry Problem
• 2.2.4 Solving for Constant Velocity

Week 4

• 2.3.1 Solving a Business Problem
• 2.3.2 Solving a Mixture Problem
• 2.3.3 Solving an Investment Problem
• 2.3.4 Solving for Consecutive Numbers
• 2.3.5 Finding an Average

Week 5

• 2.4.1 An Introduction to Solving Inequalities
• 2.4.2 Solving Inequalities
• 2.4.3 Solving Word Problems with Inequalities
• 2.5.1 Sets, Intersections, and Unions
• 2.5.2 Solving Compound Inequalities
• 2.5.3 More on Compound Inequalities

Week 6

• 2.6.1 Matching Number Lines with Absolute Value
• 2.6.2 Solving Absolute Value Equations
• 2.6.3 Solving Equations with Two Absolute Value Expressions
• 2.7.1 Solving Absolute Value Inequalities
• 2.7.2 Solving Absolute Value Inequalities: More Examples
• Chapter 2 Test

Week 7

• 3.1.1 Using the Cartesian System
• 3.1.2 Thinking Visually
• 3.2.1 An Introduction to Slope
• 3.2.2 Finding the Slope Given Two Points
• 3.3.1 Finding the Distance and Midpoint between Two Points
• 3.4.1 The Center-Radius Equation of a Circle
• 3.4.2 Decoding the Circle Formula
• Chapter 3 Test

Week 8

• 4.1.1 Using Intercepts to Graph Lines
• 4.1.2 Working with Specific Lines
• 4.1.3 Interpreting Slope from a Graph
• 4.1.4 Graphing with a Point and the Slope
• 4.2.1 Writing an Equation in Slope-Intercept Form
• 4.2.2 Writing an Equation Given Two Points
• 4.2.3 Writing an Equation in Point-Slope Form
• 4.2.4 Matching a Point-Slope Equation with its Graph
• 4.2.5 Slope for Parallel and Perpendicular Lines

Week 9

• 4.3.1 Constructing a Linear Model from a Set of Data
• 4.3.2 Scatterplots and Predictions
• 4.3.3 Interpreting Line Graphs
• 4.3.4 Linear Cost and Revenue
• Chapter 4 Test
• 5.1.1 An Introduction to Linear Systems
• 5.1.2 Solving a System by Graphing
• 5.1.3 Solving a System by Substitution
• 5.1.4 Solving a System by Elimination

Week 10

• 5.2.1 An Introduction to Systems in Three Variables
• 5.2.2 Solving Systems with Three Variables
• 5.2.3 Solving Inconsistent Systems
• 5.2.4 Solving Dependent Systems
• 5.2.5 Solving Systems with Two Equations
• 5.3.1 Investments
• 5.4.1 An Introduction to Graphing Linear Inequalities
• 5.4.2 Graphing Inequalities with Two Variables
• 5.4.3 Graphing the Solution Set of a System of Inequalities

Week 11

• Chapter 5 Test
• Midterm Exam

Week 12

• 6.1.1 Applying the Rules of Exponents
• 6.1.2 Evaluating Expressions with Negative Exponents
• 6.2.1 Converting between Decimal and Scientific Notation
• 6.3.1 Determining Components and Degree
• 6.3.2 Adding and Subtracting Polynomials
• 6.3.3 Multiplying Polynomials

Week 13

• 6.4.1 The FOIL Method
• 6.4.2 Multiplying Big Products
• 6.4.3 Using Special Products
• 6.5.1 Factoring Using the Greatest Common Factor
• 6.5.2 Factoring by Grouping
• 6.5.3 Factoring Trinomials
• 6.5.4 Factoring Trinomials: More Examples

Week 14

• 6.6.1 Factoring Perfect Square Trinomials
• 6.6.2 Factoring the Difference of Two Squares
• 6.6.3 Factoring Sums and Differences of Cubes
• 6.6.4 Factoring by Any Method
• 6.7.1 The Zero Factor Property
• 6.8.1 Using Long Division with Polynomials
• 6.8.2 Long Division: Another Example
• Chapter 6 Test

Week 15

• 7.1.1 An Introduction to Rational Expressions
• 7.1.2 Writing Rational Expressions in Lowest Terms
• 7.2.1 Multiplying and Dividing Rational Expressions
• 7.2.2 Adding and Subtracting Rational Expressions
• 7.2.3 Rewriting Complex Fractions

Week 16

• 7.3.1 Solving a Linear Equation with Rationals
• 7.3.2 Solving a Linear Equation with Restrictions
• 7.4.1 Solving Rational Inequalities
• 7.4.2 Solving Rational Inequalities: Another Example
• 7.4.3 Determining Domain

Week 17

• 7.5.1 Solving a Problem About Work
• 7.5.2 Resistors in Parallel
• 7.6.1 An Introduction to Variation
• 7.6.2 Direct Proportion
• 7.6.3 Inverse Proportion
• 7.6.4 Joint and Combined Proportion
• Chapter 7 Test

Week 18

• 8.1.1 Radical Notation and Properties of Roots
• 8.1.2 Variables and Negative Values under a Radical
• 8.1.3 Converting Rational Exponents and Radicals
• 8.2.1 Simplifying Radicals
• 8.2.2 Simplifying Radical Expressions with Variables

Week 19

• 8.3.1 Adding and Subtracting Radical Expressions
• 8.3.2 Rationalizing Denominators
• 8.4.1 Solving an Equation Containing a Radical
• 8.4.2 Solving Equations with Two Radical Expressions
• 8.4.3 Extraneous Roots
• 8.4.4 Solving Equations with Rational Exponents

Week 20

• 8.5.1 Introducing and Writing Complex Numbers
• 8.5.2 Rewriting Powers of i
• 8.5.3 Adding and Subtracting Complex Numbers
• 8.5.4 Multiplying Complex Numbers
• 8.5.5 Dividing Complex Numbers
• 8.6.1 Finding the Length of the Diagonal of a Cube
• 8.6.2 Applications in Meteorology
• Chapter 8 Test

Week 21

• 9.1.1 Introducing Relations and Functions
• 9.1.2 Function Notation and Values
• 9.1.3 Functions and the Vertical Line Test
• 9.2.1 Finding Domain and Range
• 9.2.2 Domain and Range: An Explicit Example
• 9.2.3 Satisfying the Domain of a Function
• 9.2.4 Graphing Important Functions
• Chapter 9 Test

Week 22

• 10.1.1 An Introduction to Quadratics
• 10.1.2 Solving Quadratics by Factoring
• 10.2.1 Finding x- and y-Intercepts
• 10.2.2 Nice-Looking Parabolas
• 10.2.3 Graphing Parabolas
• 10.3.1 Solving by Completing the Square
• 10.3.2 Completing the Square: Another Example
• 10.3.3 Finding the Vertex by Completing the Square
• 10.4.1 Using the Vertex to Write the Equation
• 10.4.2 Building a Polynomial Equation from Its Solutions  

Week 23

• 10.4.1 Using the Vertex to Write the Equation
• 10.4.2 Building a Polynomial Equation from Its Solutions
• 10.5.1 Proving the Quadratic Formula
• 10.5.2 Using the Quadratic Formula
• 10.5.3 Predicting Types of Solution from the Discriminant
• 10.5.4 Using the Discriminant to Graph Parabolas

Week 24

• 10.6.1 Solving for a Squared Variable
• 10.6.2 Finding Real Number Restrictions
• 10.7.1 Solving a Quadratic Geometry Problem
• 10.7.2 Solving with the Pythagorean Theorem
• 10.7.3 Solving a Motion Problem
• 10.7.4 Solving a Projectile Problem
• 10.7.5 Solving Other Problems

Week 25

• Chapter 10 Test
• Practice Exam

Week 26

• Final Exam

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Honors Algebra I – 3 Month Timeline

Week 1

• 1.1.1 Properties, Identities, & Inverses
• 1.2.1 An Introduction to Exponents
• 1.2.2 Evaluating Exponential Expressions
• 1.3.1 Working with Fractions
• 1.4.1 Concepts of Inequality
• 1.4.2 Inequalities and Interval Notation
• 1.5.1 Properties of Absolute Value
• 1.5.2 Evaluating Absolute Value Expressions
• 1.6.1 Operations Considering Signs
• 1.6.2 Prime and Composite Numbers and Their Roots
• 1.6.3 Order of Operations
• 1.7.1 Forms of Conditional Statements
• 1.7.2 Inductive Reasoning
• Chapter 1 Test

Week 2

• 2.1.1 An Introduction to Solving Equations
• 2.1.2 Equality or Identity?
• 2.1.3 Equivalent Equations and Equations with No Solution
• 2.1.4 Solving Linear Equations
• 2.2.1 An Introduction to Solving Word Problems
• 2.2.2 Finding Perimeter
• 2.2.3 Solving a Linear Geometry Problem
• 2.2.4 Solving for Constant Velocity
• 2.3.1 Solving a Business Problem
• 2.3.2 Solving a Mixture Problem
• 2.3.3 Solving an Investment Problem
• 2.3.4 Solving for Consecutive Numbers
• 2.3.5 Finding an Average

Week 3

• 2.4.1 An Introduction to Solving Inequalities
• 2.4.2 Solving Inequalities
• 2.4.3 Solving Word Problems with Inequalities
• 2.5.1 Sets, Intersections, and Unions
• 2.5.2 Solving Compound Inequalities
• 2.5.3 More on Compound Inequalities
• 2.6.1 Matching Number Lines with Absolute Value
• 2.6.2 Solving Absolute Value Equations
• 2.6.3 Solving Equations with Two Absolute Value Expressions
• 2.7.1 Solving Absolute Value Inequalities
• 2.7.2 Solving Absolute Value Inequalities: More Examples
• Chapter 2 Test

Week 4

• 3.1.1 Using the Cartesian System
• 3.1.2 Thinking Visually
• 3.2.1 An Introduction to Slope
• 3.2.2 Finding the Slope Given Two Points
• 3.3.1 Finding the Distance and Midpoint between Two Points
• 3.4.1 The Center-Radius Equation of a Circle
• 3.4.2 Decoding the Circle Formula
• Chapter 3 Test
• 4.1.1 Using Intercepts to Graph Lines
• 4.1.2 Working with Specific Lines
• 4.1.3 Interpreting Slope from a Graph
• 4.1.4 Graphing with a Point and the Slope
• 4.2.1 Writing an Equation in Slope-Intercept Form
• 4.2.2 Writing an Equation Given Two Points
• 4.2.3 Writing an Equation in Point-Slope Form
• 4.2.4 Matching a Point-Slope Equation with its Graph
• 4.2.5 Slope for Parallel and Perpendicular Lines

Week 5

• 4.3.1 Constructing a Linear Model from a Set of Data
• 4.3.2 Scatterplots and Predictions
• 4.3.3 Interpreting Line Graphs
• 4.3.4 Linear Cost and Revenue
• Chapter 4 Test
• 5.1.1 An Introduction to Linear Systems
• 5.1.2 Solving a System by Graphing
• 5.1.3 Solving a System by Substitution
• 5.1.4 Solving a System by Elimination
• 5.2.1 An Introduction to Systems in Three Variables
• 5.2.2 Solving Systems with Three Variables
• 5.2.3 Solving Inconsistent Systems
• 5.2.4 Solving Dependent Systems
• 5.2.5 Solving Systems with Two Equations
• 5.3.1 Investments
• 5.4.1 An Introduction to Graphing Linear Inequalities
• 5.4.2 Graphing Inequalities with Two Variables
• 5.4.3 Graphing the Solution Set of a System of Inequalities

Week 6

• Chapter 5 Test
• Midterm Exam
• 6.1.1 Applying the Rules of Exponents
• 6.1.2 Evaluating Expressions with Negative Exponents
• 6.2.1 Converting between Decimal and Scientific Notation
• 6.3.1 Determining Components and Degree
• 6.3.2 Adding and Subtracting Polynomials
• 6.3.3 Multiplying Polynomials

Week 7

• 6.4.1 The FOIL Method
• 6.4.2 Multiplying Big Products
• 6.4.3 Using Special Products
• 6.5.1 Factoring Using the Greatest Common Factor
• 6.5.2 Factoring by Grouping
• 6.5.3 Factoring Trinomials
• 6.5.4 Factoring Trinomials: More Examples
• 6.6.1 Factoring Perfect Square Trinomials
• 6.6.2 Factoring the Difference of Two Squares
• 6.6.3 Factoring Sums and Differences of Cubes
• 6.6.4 Factoring by Any Method
• 6.7.1 The Zero Factor Property
• 6.8.1 Using Long Division with Polynomials
• 6.8.2 Long Division: Another Example
• Chapter 6 Test

Week 8

• 7.1.1 An Introduction to Rational Expressions
• 7.1.2 Writing Rational Expressions in Lowest Terms
• 7.2.1 Multiplying and Dividing Rational Expressions
• 7.2.2 Adding and Subtracting Rational Expressions
• 7.2.3 Rewriting Complex Fractions
• 7.3.1 Solving a Linear Equation with Rationals
• 7.3.2 Solving a Linear Equation with Restrictions
• 7.4.1 Solving Rational Inequalities
• 7.4.2 Solving Rational Inequalities: Another Example
• 7.4.3 Determining Domain

Week 9

• 7.5.1 Solving a Problem About Work
• 7.5.2 Resistors in Parallel
• 7.6.1 An Introduction to Variation
• 7.6.2 Direct Proportion
• 7.6.3 Inverse Proportion
• 7.6.4 Joint and Combined Proportion
• Chapter 7 Test
• 8.1.1 Radical Notation and Properties of Roots
• 8.1.2 Variables and Negative Values under a Radical
• 8.1.3 Converting Rational Exponents and Radicals
• 8.2.1 Simplifying Radicals
• 8.2.2 Simplifying Radical Expressions with Variables

Week 10

• 8.3.1 Adding and Subtracting Radical Expressions
• 8.3.2 Rationalizing Denominators
• 8.4.1 Solving an Equation Containing a Radical
• 8.4.2 Solving Equations with Two Radical Expressions
• 8.4.3 Extraneous Roots
• 8.4.4 Solving Equations with Rational Exponents
• 8.5.1 Introducing and Writing Complex Numbers
• 8.5.2 Rewriting Powers of i
• 8.5.3 Adding and Subtracting Complex Numbers
• 8.5.4 Multiplying Complex Numbers
• 8.5.5 Dividing Complex Numbers
• 8.6.1 Finding the Length of the Diagonal of a Cube
• 8.6.2 Applications in Meteorology
• Chapter 8 Test

Week 11

• 9.1.1 Introducing Relations and Functions
• 9.1.2 Function Notation and Values
• 9.1.3 Functions and the Vertical Line Test
• 9.2.1 Finding Domain and Range
• 9.2.2 Domain and Range: An Explicit Example
• 9.2.3 Satisfying the Domain of a Function
• 9.2.4 Graphing Important Functions
• Chapter 9 Test
• 10.1.1 An Introduction to Quadratics
• 10.1.2 Solving Quadratics by Factoring
• 10.2.1 Finding x- and y-Intercepts
• 10.2.2 Nice-Looking Parabolas
• 10.2.3 Graphing Parabolas
• 10.3.1 Solving by Completing the Square
• 10.3.2 Completing the Square: Another Example
• 10.3.3 Finding the Vertex by Completing the Square
• 10.4.1 Using the Vertex to Write the Equation
• 10.4.2 Building a Polynomial Equation from Its Solutions  

Week 12

• 10.4.1 Using the Vertex to Write the Equation
• 10.4.2 Building a Polynomial Equation from Its Solutions
• 10.5.1 Proving the Quadratic Formula
• 10.5.2 Using the Quadratic Formula
• 10.5.3 Predicting Types of Solution from the Discriminant
• 10.5.4 Using the Discriminant to Graph Parabolas
• 10.6.1 Solving for a Squared Variable
• 10.6.2 Finding Real Number Restrictions
• 10.7.1 Solving a Quadratic Geometry Problem
• 10.7.2 Solving with the Pythagorean Theorem
• 10.7.3 Solving a Motion Problem
• 10.7.4 Solving a Projectile Problem
• 10.7.5 Solving Other Problems

Week 13

• Chapter 10 Test
• Practice Exam
• Final Exam

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