Volume 1
1. Tools of Algebra
1.1. Displaying Data Relationships with Graphs
Line Plots
Constructing Box-and-Whisker Plots
Histograms
Stem-and-Leaf Plots
Scatter Plots - Activity A
1.2. Modeling Relationships with Variables
Using Algebraic Expressions
Using Algebraic Equations
1.3. Order of Operations
Order of Operations
1.4. Adding and Subtracting Integers
Adding and Subtracting Integers
1.6. Real Numbers and Rational Numbers
Real Number Line - Activity A
Comparing and Ordering Rational Numbers
1.7. Experimental Probability and Simulations
Probability Simulations
Theoretical and Experimental Probability
2. Functions and Their Graphs
2.1. Analyzing Data Using Scatter Plots
Scatter Plots - Activity A
Solving Using Trend Lines
2.2. Relating Graphs to Events
Line Plots
Constructing Box-and-Whisker Plots
Histograms
Stem-and-Leaf Plots
Scatter Plots - Activity A
2.3. Linking Graphs to Tables
Using Tables, Rules and Graphs
2.4. Functions
Linear Functions
Introduction to Functions
2.5. Writing a Function Rule
Using Tables, Rules and Graphs
2.6. The Three Views of a Function
Introduction to Functions
2.7. Families of Functions
Functions Involving Square Roots
Exponential Functions - Activity A
Logarithmic Functions - Activity B
Rational Functions
Translating and Scaling Sine and Cosine Functions - Activity A
2.8. The Probability Formula
Geometric Probability - Activity A
3. Algebraic Concepts and Simple Equations
3.1. Modeling and Solving Equations
Modeling One-Step Equations - Activity A
Modeling One-Step Equations - Activity B
3.2. Modeling and Solving two-Step Equations
Modeling and Solving Two-Step Equations
Solving Two-Step Equations
3.5. Rational Numbers and Equations
Solving Equations with Decimals
3.6. Using Probability
Probability Simulations
Theoretical and Experimental Probability
Compound Independent Events
Compound Independent and Dependent Events
3.8. Percent of Change
Percent of Change
4. Equations and Inequalities
4.1. Using Proportions
Proportions and Common Multipliers
4.2. Equations with Variables on Both Sides
Solving Equations with Decimals
Modeling One-Step Equations - Activity A
Modeling One-Step Equations - Activity B
4.3. Solving Absolute Value Equations
Absolute Value with Linear Functions - Activity A
Quadratic and Absolute Value Functions
4.4. Transforming Formulas
Solving Formulas for any Variable
4.5. Solving Inequalities Using Addition and Subtraction
Solving Linear Inequalities using Addition and Subtraction
4.6. Solving Inequalities Using Multiplication and Division
Solving Inequalities Using Multiplication and Division
4.8. Compound Inequalities
Compound Inequalities
5. Graphing and Writing Linear Equations
5.1. Slope
Slope - Activity A
5.3. Direct Variation
Direct Variation
5.4. Slope-Intercept Form
Slope-Intercept Form of a Line - Activity A
5.6. Scatter Plots and Equations of Lines
Scatter Plots - Activity A
5.7. Ax + By = C Form
Standard Form of a Line
5.8. Parallel and Perpendicular Lines
Construct Parallel and Perpendicular Lines
5.9. Using the x-intercept
Slope-Intercept Form of a Line - Activity A
6. Systems of Equations and Inequalities
6.1. Solving Systems by Graphing
Solving Linear Systems by Graphing
6.3. Solving Systems Using Elimination
Special Types of Solutions to Linear Systems
6.4. Writing Systems
Modeling Linear Systems - Activity A
6.5. Linear Inequalities
Linear Inequalities in Two Variables - Activity A
Solving Inequalities Using Multiplication and Division
Solving Linear Inequalities using Addition and Subtraction
6.6. Systems of Inequalities
Systems of Linear Inequalities (Slope-intercept form) - Activity A
Systems of Linear Inequalities (Standard form)
6.7. Concepts of Linear Programming (optional topic)
Linear Programming - Activity A
6.8. Systems with Nonlinear Equations
System of Two Quadratic Inequalities
7. Quadratic Equations and Functions
7.1. Exploring Quadratic Functions
Quadratic and Absolute Value Functions
7.2. Graphing Simple Quadratic Functions
Quadratics in Polynomial Form - Activity A
7.3. Graphing Quadratic Functions
Quadratics in Polynomial Form - Activity A
7.4. Square Roots
Square Roots
7.5. Solving Quadratic Equations
Roots of a Quadratic
7.6. Using the Quadratic Formula (optional topic)
Roots of a Quadratic
7.7. Using the Discriminant (optional topic)
Roots of a Quadratic
8. Exponents and Exponential Functions
8.1. Exploring Exponential Functions (optional topic)
Exponential Functions - Activity A
8.2. Exponential Growth (optional topic)
Exponential Growth and Decay - Activity A
8.3. Exponential Decay (optional topic)
Exponential Growth and Decay - Activity A
8.4. Zero and Negative Exponents
Exponents and Power Rules
8.6. A Multiplication Property of Exponents
Multiplying Exponential Expressions
8.7. More Multiplication Properties of Exponents
Multiplying Exponential Expressions
8.8. Division Properties of Exponents
Dividing Exponential Expressions
9. Right Triangles and Radical Expressions
9.1. The Pythagorean Theorem
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
9.2. The Distance Formula
Distance Formula - Activity A
9.3. Trigonometric Ratios
Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent
9.4. Simplifying Radicals
Operations with Radical Expressions
9.5. Addign and Subtracting Radicals
Operations with Radical Expressions
9.6. Solving Radical Equations (optional topic)
Radical Functions
9.7. Graphing Square Root Functions
Functions Involving Square Roots
10. Polynomials
10.1. Adding and Subtracting Polynomials
Addition and Subtraction of Polynomials
10.2. Multiplying and Factoring
Modeling the Factorization of ax^{2}+bx+c
Modeling the Factorization of x^{2}+bx+c
10.4. Factoring Trinomials
Modeling the Factorization of ax^{2}+bx+c
Modeling the Factorization of x^{2}+bx+c
10.5. Factoring Special Cases
Factoring Special Products
11. Rational Expressions and Functions
11.1. Inverse Variation
Direct and Inverse Variation
11.2. Rational Functions
Rational Functions
11.3. Rational Expressions and Functions
General Form of a Rational Function
11.4. Operations with Rational Expressions
General Form of a Rational Function
11.5. Solving Rational Equations
General Form of a Rational Function
11.6. Counting Outcomes and Permutations
Permutations
11.7. Combinations
Permutations and Combinations
Volume 2
1. Tools of Geometry
1.2. Points, Lines, and Planes
Investigating Parallel Lines and Planes
1.5. Good Definitions
Biconditional Statement
1.6. Basic Constructions
Construct Parallel and Perpendicular Lines
Constructing Congruent Segments and Angles
1.8. The Coordinate Plane
Points in the Coordinate Plane - Activity A
2. Investigating Geometric Figures
2.1. Triangles
Classifying Triangles
2.4. Classifying Quadrilaterals
Classifying Quadrilaterals - Activity A
2.5. Circles
Circles
2.6. Congruent and Similar Figures
Similar Figures - Activity A
2.7. Isometric and Orthographic Drawings
3D and Orthographic Views - Activity A
3. Transformations: Shapes in Motion
3.1. Reflections
Reflections
3.2. Translations
Translations
3.3. Rotations
Rotations, Reflections and Translations
3.7. Dilations
Dilations
4. Triangle Relationships
4.1. Using Logical Reasoning
Conditional Statement
Biconditional Statement
4.2. Isosceles Triangles
Isosceles and Equilateral Triangles
4.6. Triangle Inequalities
Triangle Inequalities
4.7. Bisectors and Locus
Bisectors in Triangles
4.8. Concurrent Lines
Concurrent Lines, Medians, and Altitudes
5. Measuring in the Plane
5.1. Understanding Perimeter and Area
Rectangle: Perimeter, Circumference and Area
5.2. Areas of Parallelograms and Triangles
Area of Parallelograms - Activity A
5.3. The Pythagorean Theorem and Its Converse
Pythagorean Theorem - Activity A
Geoboard: The Pythagorean Theorem
5.7. Circles: Circumference and Arc Length
Circle: Perimeter, Circumference and Area
6. Measuring in Space
6.1. Space Figures and Nets
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones
6.2. Surface Areas of Prisms and Cylinders
Surface and Lateral Area of Prisms and Cylinders
6.3. Surface Areas of Pyramids and Cones
Surface and Lateral Area of Pyramids and Cones
6.4. Volumes of Prisms and Cylinders
Prisms and Cylinders
6.5. Volumes of Pyramids and Cones
Pyramids and Cones - Activity B
6.8. Geometric Probability
Geometric Probability - Activity A
New York
2. Parallel Lines and Related Angles
Concurrent Lines, Medians, and Altitudes
3. Constructing Parallel and Perpendicular Lines
Construct Parallel and Perpendicular Lines
4. Perimeters and Areas of Similar Figures
Perimeters and Areas of Similar Figures
5. Areas and Volumes of Similar Solids
Perimeters and Areas of Similar Figures
6. The Tangent Ratio
Sine, Cosine and Tangent
7. The Sine and Cosine Ratios
Sine and Cosine Ratios - Activity B