A7.1

Defining Linear Equations of Two Variables and Their Solutions

• Solutions of a Linear Equation
• Cartesian Coordinate System
• Plotting Points
• Graph of the Solutions of a Linear Equation
• Showing All Solutions of a Linear Equation
• Special Case-Horizontal Lines
• Special Case-Vertical Lines
• Conclusion

A7.2

Graphing Linear Equations of Two Variables

• Graphing Linear Equations Using Tables
• Graphing Linear Equations Using Intercepts
• Graphing Linear Equations Slope-Intercept
• Negative Slope
• Positive Slope
• Conclusion

A7.3

Gaphing Linear Inequalities of Two Variables

• Graphing an Inequality with One Variable on a Number Line
• Graphing an Inequality with Two Variables on a Coordinate Plane
• Boundary Line
• Test Point
• Conclusion

A7.4

Solving Consumer/Business Problems Using Linear Equations and Inequalities Of Two Variables

• Concession Stand Application Problem
• Football Tickets Application Problem
• DJ Service Application Problem
• Conclusion

A8.1

Finding Slope

• Slope of a Line
• Comparing Slopes of Lines
• Negative Slopes
• Opposite Slopes
• Discovering the Slope Formula
• Slope Formula
• Horizontal Lines
• Vertical Lines
• Parallel Lines
• Perpendicular Lines
• Conclusion

A8.2

Writing Equations of Lines, Given the Slope and y-Intercept

• Equations and Lines
• Slope-Intercept Form
• Graphs and Slope-Intercept Form
• Determining Slope and y-intercept
• Writing Equations
• Parallel and Perpendicular Lines
• Reciprocals
• Conclusion

A8.3

Writing Equations of Lines, Given Point and  the Slope or Two Points

• Defining Point-Slope Form
• Using Point-Slope Form
• Application Problem
• Parallel and Perpendicular Lines
• Finding the Equation
• Conclusion

A8.4

Solving Linear Equations in Two Variables When Parameters are Changed

• Parameters
• Using Parameters to Determine an Equation
• Changing the Parameters m and b
• Perpendicular Lines
• Linear Equations
• Converting from Standard Form to Slope-intercept Form
• Conclusion

A9.1

Defining Relationships and Functions

• Introduction to Function Machine
• Relations
• Domain and Range of a Relation
• Mapping Diagram
• Table
• Graph of a Relation
• Set-Builder Notation
• Ways to Represent a Relation
• Function
• Constant Function
• Linear Function
• Vertical Line Test
• Nonlinear Function
• Function Machine
• Conclusion

A9.2

Evaluating Functions

• Functions
• Domain and Range
• Function Notation
• Evaluating a Function
• Functions on the Coordinate Plane
• Conclusion

A9.3

Writing Functions from Patterns

• Input-Output Table
• Writing a Function from a Pattern
• Application Problem – Job
• Scatterplot
• Slope
• Function Mapping and Scatter Plots
• Conclusion

A9.4

Graphing Functions

• Definition of Linear Function
• Graphing the Linear Function
• Graphing the Constant Function
• Absolute Value Function
• Translating Parent Graph
• Graphing Piecewise Functions
• Conclusion

A9.5

Solving Problems Using Functions

• Real-World Application
• Formulas as Functions
• Real World Application #2
• Mowing Service
• Pizza Sharing Function
• Health-Related Function
• Conclusion

A9.6

Evaluating Composite Functions

• Sale Price Function
• Defining Composition of Two Functions
• Evaluating
• Example
• Real-World Application – Finding the Original Price
• Determining Inverses
• Conclusion

A10.1

Solving Systems of Linear Equations by Graphing

• System of Linear Equations
• Determine Whether an Ordered Pair is a Solution
• Solving Systems of Linear Equations by Graphing
• Consistent, Inconsistent, Dependent, or Independent
• Conclusion

A10.2

Solving Systems of Linear Equations by Elimination

• Solutions to a System of Equations
• Elimination by Addition of a System
• Elimination by Multiplication of One Equation in a System
• Elimination by Multiplication of Both Equations
• Overview of Elimination Method
• System With No Solution
• System With Infinitely Many Solutions
• Conclusion

A10.3

Solving Systems of Linear Equations by Substitution

• Methods of Solving Systems of Linear Equations
• Solving of System of Linear Equations Using the Substitution Method
• Checking a Solution to a System of Linear Equations
• Solving a System of Linear Equations of Two Variables
• Solving a System of Linear Equations with Infinitely Many Solutions by Substitution
• Systems of Linear Inequalities Whose Graphs Have Parallel Boundaries
• Conclusion

A10.4

Solving Systems of Linear Inequalities by Graphing

• Solving Linear Inequalities of Two Variables
• Graphing a System of Linear Equations of Two Variables
• Systems of Linear Inequalities Whose Graphs Have Horizontal and Vertical Boundaries
• Graphing a System of Three Linear Inequalities
• Systems of Linear Inequalities Whose Graphs Have Parallel Boundaries
• Conclusion

A10.5

Solving Problems Using Systems of Linear Equations and Inequalities

• Money Saving Problem – No Interest
• Problem – Solving Tips
• Money Saving Problem with Interest
• Rate/Time/Distance Problem
• Polygon Dimension Problem
• Mixture Problem
• Hours Worked/Salary Inequality Problem
• Conclusion

A11.1

Applying Rules of Exponents

• Multiplying Powers with Like Bases
• Dividing Powers with Like Bases
• Power-of-a-Power Rule
• Power-of-a-Product
• Power-of-a-Quotient
• Conclusion

A11.2

Using Scientific Notation

• Understanding Scientific Notation
• Converting a Number from Scientific Notation to Standard Form
• Converting a Number from Standard Form to Scientific Notation
• Calculating Using Scientific
• Conclusion

A11.3

Adding and Subtracting Polynomials

• Understanding Polynomials
• Subtracting Polynomials
• Conclusion

A11.4

Multiplying Monomials and Binomials

• Multiplying Monomials
• Multiplying a Binomial by a Monomial
• Multiplying a Binomial by a Binomial
• Conclusion

A11.5

Multiplying Monomials

• Special Products
• Multiplying General Polynomials
• Conclusion

A11.6

Dividing Polynomials by Monomials

• Dividing Monomials by Monomials
• Dividing Polynomials by Monomials
• Conclusion

A11.7

Dividing Polynomials Using long Division

• Dividing Polynomials Using Long Division
• Conclusion

A12.1

Factoring by Removing the Greatest Common Factor

• Introducing Factoring
• Greatest Common Monomial Factor
• Factoring Polynomials Containing More Than One Variable
• Conclusion

A12.2

Factoring by Grouping

• Common Binomial Factors
• Factoring by Grouping
• Conclusion

A12.3

Factoring the Difference of Two Squares

• How to Factor the Difference of Two Squares
• Recognizing Perfect Squares
• Factoring the Differences of Two Squares
• Factoring the Differences of Two Squares with a Leading Coefficient Than One
• Using the Difference of Square Rule Twice
• Conclusion

A12.4

Factoring x2 + b x + c

• Factoring Trinomials of the Form x2 + bx + c, b>0, c>0
• Factoring x2 + bx + c, b<0 and/or c<0
• Conclusion

A12.5

Factoring ax2 + b x + c

• Factoring ax2 + bx + c; Guess and Check
• Factoring ax2 + bx + c; Factoring by Grouping
• Conclusion

A12.6

Factoring Using Several Methods

• Review of Factoring Methods
• Factoring Using Several Methods
• Conclusion

A12.7

Dividing Polynomials Using Factoring

• Dividing Polynomial by Factoring: Factoring Numerator Only
• Dividing Polynomial by Using Factoring: Factoring Numerator and Denominator
• Conclusion

A13.1

Defining Quadratic Equations of One Variable

• Identifying Quadratic Equations
• Conclusion

A13.2

Solving Quadratic Equations by Evaluating Square Roots

• Solving Equations of the Form ax2=k
• Solving Equations of the Form ax2-b=k
• Solving Quadratic Equations of the Form a(x+b)^2=k
• Solving Quadratic Equations of the Form a(x=b)^2+c=k
• Conclusion

A13.3

Solving Quadratic Equations by Factoring

• Solving Quadratic Equations by Factoring
• Conclusion

A13.4

Solving Quadratic Equations by Completing the Square

• Completing the Square and Factoring Perfect Square Trinomials
• Solving Quadratic Equations by Completing the Square
• Conclusion

A13.5

Solving Quadratic Equations by the Quadratic Formula

• The Quadratic Formula
• Using the Quadratic Formula
• Using the Discriminant
• Conclusion

A13.6

Solving Problems Using Quadratic Equations of One Variable

• Rectangular Area Applications
• Vertical Motion Applications
• Conclusion

A14.1

Graphing Simple Quadratic Relations

• Defining Parabola
• Graphing Relations of the Form y=ax2+bx+c
• Conclusion

A14.2

Graphing Quadratic Relations by Analysis

• Graphing y=ax2
• Review of Graphics y=ax2
• Graphics Equations of the Form y=x2+k
• Graphing Equations of the Form y+a(x-h)^2+k
• Graphing Equations of the Form y=(x-h)^2
• Conclusion

A14.3

Solving Problems Using Quadratic Graphs

• Vertical Motion Application
• Sports Application
• Conclusion

A15.1

Finding Restricted Values of Rational Expressions

• Rational Expression Restrictions Degree 1
• Rational Expression with More Than One Restricted Value
• Conclusion

A15.2

Simplifying Rational Expressions

• Simplifying Rational Expressions
• Negative One Technique
• Simplifying Rational Expressions Containing Trinomials
• Conclusion

A15.3

Multiplying and Dividing Rational Expressions

• Multiplying Rational Expressions with Monomials
• Multiplying Rational Expressions with Binomials and Trinomials
• Dividing Rationals Expressions
• Conclusion

A15.4

Adding and Subtracting Rational Expressions

• Adding and Subtracting Rational Expressions with Like Denominators
• Adding and Subtracting Rational Expressions with Unlike Denominators
• Conclusion

A16.1

Solving Rational Equations

• Solving Rational Equations
• Conclusion

A16.2

Solving Problems Using Direct Variation

• Direct Variation
• Applications of Inverse Variation
• Conclusion

A16.3

Solving Problems Using Inverse Variation

• Inverse Variation
• Applications of Inverse Variation
• Conclusion

A16.4

Solving Various Types of Problems Using Rational Equations

• Solving Work Problems
• Solving Uniform Motion Problems
• Conclusion

A17.1

Simplifying Radicals

• Square Roots
• Product Property of Square Roots
• Square Roots and Negatives
• Cube Roots
• Product Property of Cube Roots
• Roots of Variable Expressions
• Conclusion

A17.2

Adding and Subtracting Radicals

• Adding and Subtracting Simplified Radicals
• Simplify Before Adding and Subtracting Radicals
• Adding and Subtracting Radicals with Variables
• Conclusion

A17.3

Multiplying Radicals

• Monomial Times Monomial
• Monomial Times Binomial
• Binomial Times Binomial
• Conclusion

A17.4

Dividing Radicals

• Quotient Property of Square Roots
• Rationalizing the Denominator
• Conclusion

A18.1

Solving One-Step Radical Equations

• Solving Radical Equations of the Form sqrt x=a, a≥0 
• Solving Radical Equations of the Form – sqrt x=a, a<0
• Solving Radical Equations Containing Negative Signs
• Solving Cube Roots and 4th Root Equations
• Conclusion

A18.2

Solving Multi-Step Radical Equations

• Solving Two-Step Radical Equations
• Solving Multi-Step Radical Equations
• Conclusion

A18.3

Solving Problems Using Radical Equations

• Length of a Skid Mark
• Distance to Horizon
• Speed of Sound
• Pythagorean Theorem Application
• Conclusion

A18.4

Solving Problems Using the Distance and Midpoint Formulas

• Pythagorean Theorem
• Distance on a Number Line
• Distance Formula
• Using the Distance Formula to Solve Problems
• Using the Midpoint Formula to Solve Problems
• The Midpoint Formula
• Conclusion

A19.1

Finding Mean, Median, and Mode

• Calculating Mean, Median, and Mode
• Stem-and-Leaf Plot
• Conclusion

A19.2

Interpreting Graphs of Data

• Line Graphs
• Bar Graphs
• Circle Graphs
• Conclusion

A19.3

Analyzing and Describing Graphs

• Stem-and-Leaf Plot and Five-Number Summary
• Making Comparisons Using Box-and-Whisker Plots
• Histograms
• Conclusion

A19.4

Finding a Line of Best Fit

• Interpret Points on a Scatter Plot
• Writing Equations for Lines of Best Fit
• Conclusion

A19.5

Solving Statistics Problems

• Deviation from the Mean
• Mean Absolute Deviation
• Deviation from the Mean as a Measure of Dispersion
• Conclusion

A20.1

Finding Permutations and Combinations

• Fundamental Counting Principle and Factorial Rule
• Factorial
• Permutations
• Combinations
• Conclusion

A20.2

Solving Basic Probability Problems

• Probability of an Event
• Experimental Probability
• Theoretical Probability
• Complementary Events
• Conclusion

A20.3

Solving Advanced Probability Problems

• Independent Events
• Dependent Events
• Conclusion

A20.4

Solving Discrete Mathematics Problems

• Traversable Paths
• Equivalent Graphs