# Honors Algebra I

 Placement Test Available Enroll in this Course

Prerequisites: Qualifying math score and completion of Pre-algebra or the equivalent

Course Format: Individually Paced

Course Length: Typically 6 months

Recommended School Credit: 1.0 credit

Course Code: AL1

## Course Description

Description

This course covers a full-year honors curriculum and prepares students for success in Honors Algebra II, Honors Geometry, and other CTYOnline courses. The course begins with a brief review of pre-algebra. Students can proceed quickly through familiar material and take additional time on more difficult concepts.

Each section of the course has one or more video lessons (provided by Thinkwell), sample exercises, practice exercises, online tests, offline paper-based exams, an instructor, and access to a virtual classroom to meet with the instructor. Each student will be assigned an experienced math instructor who will:

• Provide one-on-one support.
• Solve student’s doubts via e-mail or by appointment on the instructor’s virtual classroom.
• Keep constant communication with the student, at least once per week.
• Provide feedback on the student’s performance in the course.

Students will also have access to a postponement service that can be used to pause the course for 7 days or longer. This service can only be requested by a parent/guardian and is very useful to use during busy school weeks, vacation, or other events that will not allow the student to access and advance in the course.

## Materials Needed

A graphing calculator may be used to check work on practice exercises, but not for graded assessments.

## List of Topics

Upon successful completion of the course, students will be able to demonstrate mastery over the following 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 Radical Expressions with Variables
• 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

• 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

## System Requirements

This course requires 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. Note that many tablets or handhelds (particularly the iPad) do not support Flash and cannot view the lessons.

Students are expected to be familiar with standard computer operations (e.g. login, cut & paste, email attachments, etc).

You may also need the Java Runtime Environment.

Headphones and a microphone are recommended to facilitate more dynamic, interactive, and efficient interactions with the instructor within the virtual classroom.

## 9 Month, 6 Month, and 3 Month Timelines

Timelines

### 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

#### 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

#### 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

• Final Exam

### 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

#### 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

#### 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

• Final Exam

### 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
• 2.3.1 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

#### 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