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- {
- "name": "Math",
- "children": [
- {
- "name": "Trigonometry",
- "children": [
- {
- "name": "Right Triangles and an Introduction to Trigonometry",
- "children": [
- {
- "name": "The Pythagorean Theorem",
- "children": [
- {
- "name": "The Pythagorean Theorem",
- "size": 30
- },
- {
- "name": "Pythagorean Triples",
- "size": 52
- },
- {
- "name": "Converse of the Pythagorean Theorem",
- "size": 13
- }
- ]
- },
- {
- "name": "Special Right Triangles",
- "children": [
- {
- "name": "The Distance Formula",
- "size": 90
- },
- {
- "name": "Special Right Triangle #1: Isosceles Right Triangle",
- "size": 52
- },
- {
- "name": "Special Right Triangle #2: 30-60-90 Triangle",
- "size": 17
- }
- ]
- },
- {
- "name": "Basic Trigonometric Functions",
- "children": [
- {
- "name": "Using Special Right Triangle Ratios",
- "size": 49
- },
- {
- "name": "The Sine, Cosine, and Tangent Functions",
- "size": 92
- }
- ]
- },
- {
- "name": "Solving Right Triangles",
- "children": [
- {
- "name": "Secant, Cosecant, and Cotangent Functions",
- "size": 11
- },
- {
- "name": "Solving Right Triangles",
- "size": 58
- },
- {
- "name": "Inverse Trigonometric Functions",
- "size": 79
- },
- {
- "name": "Finding the Area of a Triangle",
- "size": 2
- },
- {
- "name": "Angles of Elevation and Depression",
- "size": 6
- },
- {
- "name": "Right Triangles and Bearings",
- "size": 51
- }
- ]
- },
- {
- "name": "Measuring Rotation",
- "children": [
- {
- "name": "Other Applications of Right Triangles",
- "size": 58
- },
- {
- "name": "Angles of Rotation in Standard Position",
- "size": 95
- }
- ]
- },
- {
- "name": "Applying Trig Functions to Angles of Rotation",
- "children": [
- {
- "name": "Coterminal Angles",
- "size": 36
- },
- {
- "name": "Trigonometric Functions of Angles in Standard Position",
- "size": 84
- }
- ]
- },
- {
- "name": "Trigonometric Functions of Any Angle",
- "children": [
- {
- "name": "The Unit Circle",
- "size": 14
- },
- {
- "name": "Reference Angles and Angles in the Unit Circle",
- "size": 100
- },
- {
- "name": "Trigonometric Functions of Negative Angles",
- "size": 60
- },
- {
- "name": "Trigonometric Functions of Angles Greater than 360 Degrees",
- "size": 56
- }
- ]
- }
- ]
- },
- {
- "name": "Graphing Trigonometric Functions - 2nd edition",
- "children": [
- {
- "name": "Relating Trigonometric Functions",
- "children": [
- {
- "name": "Using a Calculator to Find Values",
- "size": 25
- },
- {
- "name": "Reciprocal identities",
- "size": 91
- },
- {
- "name": "Domain, Range, and Signs of Trig Functions",
- "size": 37
- },
- {
- "name": "Quotient Identities",
- "size": 82
- },
- {
- "name": "Cofunction Identities and Reflection",
- "size": 71
- }
- ]
- },
- {
- "name": "Radian Measure",
- "children": [
- {
- "name": "Pythagorean Identities",
- "size": 2
- },
- {
- "name": "Understanding Radian Measure",
- "size": 50
- },
- {
- "name": "Critial Angles in Radians",
- "size": 13
- },
- {
- "name": "Converting Any Degree to Radians",
- "size": 33
- },
- {
- "name": "The Six Trig Functions and Radians",
- "size": 88
- }
- ]
- },
- {
- "name": "Applications of Radian Measure",
- "children": [
- {
- "name": "Check the Mode",
- "size": 56
- },
- {
- "name": "Rotations",
- "size": 54
- },
- {
- "name": "Length of Arc",
- "size": 73
- },
- {
- "name": "Area of a Sector",
- "size": 47
- },
- {
- "name": "Length of a Chord",
- "size": 17
- }
- ]
- },
- {
- "name": "Circular Functions of Real Numbers",
- "children": [
- {
- "name": "Angular Velocity",
- "size": 55
- },
- {
- "name": "The Sine Graph",
- "size": 75
- },
- {
- "name": "The Cosine Graph",
- "size": 34
- },
- {
- "name": "The Tangent Graph",
- "size": 97
- },
- {
- "name": "The Three Reciprocal Functions",
- "size": 45
- },
- {
- "name": "Cotangent",
- "size": 92
- },
- {
- "name": "Cosecant",
- "size": 13
- }
- ]
- },
- {
- "name": "Translating Sine and Cosine Functions",
- "children": [
- {
- "name": "Secant",
- "size": 92
- },
- {
- "name": "Vertical Translations",
- "size": 62
- }
- ]
- },
- {
- "name": "Amplitude, Period and Frequency",
- "children": [
- {
- "name": "Horizontal Translations or Phase Shifts",
- "size": 52
- },
- {
- "name": "Amplitude",
- "size": 47
- },
- {
- "name": "Period and Frequency",
- "size": 43
- }
- ]
- },
- {
- "name": "General Sinusoidal Graphs",
- "children": [
- {
- "name": "Combining Amplitude and Period",
- "size": 64
- },
- {
- "name": "The Generalized Equations",
- "size": 14
- },
- {
- "name": "Drawing Sketches/Identifying Transformations from the Equation",
- "size": 28
- }
- ]
- }
- ]
- },
- {
- "name": "Trigonometric Identities and Equations - 2nd edition",
- "children": [
- {
- "name": "Graphing Tangent, Cotangent, Secant, and Cosecant",
- "children": [
- {
- "name": "Writing the Equation from a Sketch",
- "size": 46
- },
- {
- "name": "Tangent and Cotangent",
- "size": 65
- },
- {
- "name": "Secant and Cosecant",
- "size": 57
- }
- ]
- },
- {
- "name": "Fundamental Identities",
- "children": [
- {
- "name": "Graphing Calculator Note",
- "size": 21
- },
- {
- "name": "Quotient Identity",
- "size": 18
- },
- {
- "name": "Reciprocal Identities",
- "size": 50
- },
- {
- "name": "Pythagorean Identity",
- "size": 47
- },
- {
- "name": "Even and Odd Identities",
- "size": 11
- }
- ]
- },
- {
- "name": "Proving Identities",
- "children": [
- {
- "name": "Cofunction Identities",
- "size": 95
- },
- {
- "name": "Working with Trigonometric Identities",
- "size": 67
- }
- ]
- },
- {
- "name": "Solving Trigonometric Equations",
- "children": [
- {
- "name": "Technology Note",
- "size": 5
- },
- {
- "name": "Simplifying Trigonometric Expressions",
- "size": 46
- },
- {
- "name": "Solving Trigonometric Equations",
- "size": 52
- },
- {
- "name": "Solving Trigonometric Equations Using Factoring",
- "size": 70
- }
- ]
- },
- {
- "name": "Sum and Difference Identities",
- "children": [
- {
- "name": "Solving Trigonometric Equations Using the Quadratic Formula",
- "size": 66
- },
- {
- "name": "Sum and Difference Formulas: cosine",
- "size": 100
- },
- {
- "name": "Using the Sum and Difference Identities of cosine",
- "size": 89
- },
- {
- "name": "Sum and Difference Identities: sine",
- "size": 4
- },
- {
- "name": "Sum and Difference Identities: Tangent",
- "size": 28
- },
- {
- "name": "Using the Sum and Difference Identities to Verify Other Identities",
- "size": 34
- }
- ]
- },
- {
- "name": "Double Angle Identities",
- "children": [
- {
- "name": "Solving Equations with the Sum and Difference Formulas",
- "size": 49
- },
- {
- "name": "Deriving the Double Angle Identities",
- "size": 41
- },
- {
- "name": "Applying the Double Angle Identities",
- "size": 2
- }
- ]
- },
- {
- "name": "Half-Angle Identities",
- "children": [
- {
- "name": "Solving Equations with Double Angle Identities",
- "size": 11
- },
- {
- "name": "Deriving the Half Angle Formulas",
- "size": 86
- }
- ]
- }
- ]
- },
- {
- "name": "Inverse Trigonometric Functions - 2nd edition",
- "children": [
- {
- "name": "Products, Sums, Linear Combinations, and Applications",
- "children": [
- {
- "name": "Solving Trigonometric Equations Using Half Angle Formulas",
- "size": 51
- },
- {
- "name": "Sum to Product Formulas for Sine and Cosine",
- "size": 32
- },
- {
- "name": "Product to Sum Formulas for Sine and Cosine",
- "size": 100
- },
- {
- "name": "Solving Equations with Product and Sum Formulas",
- "size": 74
- },
- {
- "name": "Triple-Angle Formulas and Beyond",
- "size": 5
- },
- {
- "name": "Linear Combinations",
- "size": 23
- }
- ]
- },
- {
- "name": "Basic Inverse Trigonometric Functions",
- "children": [
- {
- "name": "Applications & Technology",
- "size": 91
- },
- {
- "name": "Defining the Inverse of the Trigonometric Ratios",
- "size": 37
- },
- {
- "name": "Exact Values for Inverse Sine, Cosine, and Tangent",
- "size": 54
- }
- ]
- },
- {
- "name": "Graphing Inverse Trigonometric Functions",
- "children": [
- {
- "name": "Finding Inverses Algebraically",
- "size": 95
- },
- {
- "name": "Finding the Inverse by Mapping",
- "size": 1
- }
- ]
- },
- {
- "name": "Inverse Trigonometric Properties",
- "children": [
- {
- "name": "Finding the Inverse of the Trigonometric Functions",
- "size": 48
- },
- {
- "name": "Composing Trig Functions and their Inverses",
- "size": 4
- },
- {
- "name": "Composing Trigonometric Functions",
- "size": 96
- },
- {
- "name": "Inverse Reciprocal Functions",
- "size": 87
- },
- {
- "name": "Composing Inverse Reciprocal Trig Functions",
- "size": 18
- }
- ]
- }
- ]
- },
- {
- "name": "Triangles and Vectors",
- "children": [
- {
- "name": "Applications & Models",
- "children": []
- },
- {
- "name": "The Law of Cosines",
- "children": [
- {
- "name": "Trigonometry in Terms of Algebra",
- "size": 59
- },
- {
- "name": "Derive the Law of Cosines",
- "size": 7
- },
- {
- "name": "Case #1: Finding the Side of an Oblique Triangle",
- "size": 95
- },
- {
- "name": "Case #2: Finding any Angle of a Triangle",
- "size": 78
- }
- ]
- },
- {
- "name": "Area of a Triangle",
- "children": [
- {
- "name": "Identify Accurate Drawings of General Triangles",
- "size": 48
- },
- {
- "name": "Find the Area Using Three Sides: Heron’s Formula",
- "size": 25
- },
- {
- "name": "Heron’s Formula:",
- "size": 60
- }
- ]
- },
- {
- "name": "The Law of Sines",
- "children": [
- {
- "name": "Finding a Part of the Triangle, Given the Area",
- "size": 69
- },
- {
- "name": "Deriving the Law of Sines",
- "size": 19
- },
- {
- "name": "AAS (Angle-Angle-Side)",
- "size": 99
- },
- {
- "name": "ASA (Angle-Side-Angle)",
- "size": 37
- }
- ]
- },
- {
- "name": "The Ambiguous Case",
- "children": [
- {
- "name": "Solving Triangles",
- "size": 45
- },
- {
- "name": "Possible Triangles with SSA",
- "size": 2
- },
- {
- "name": "Using the Law of Sines",
- "size": 38
- }
- ]
- },
- {
- "name": "General Solutions of Triangles",
- "children": [
- {
- "name": "Using the Law of Cosines",
- "size": 7
- },
- {
- "name": "Summary of Triangle Techniques",
- "size": 36
- },
- {
- "name": "Using the Law of Cosines",
- "size": 100
- }
- ]
- },
- {
- "name": "Vectors",
- "children": [
- {
- "name": "Using the Law of Sines",
- "size": 100
- },
- {
- "name": "Directed Line Segments, Equal Vectors, and Absolute Value",
- "size": 71
- },
- {
- "name": "Vector Addition",
- "size": 37
- },
- {
- "name": "Vector Subtraction",
- "size": 90
- }
- ]
- }
- ]
- }
- ]
- },
- {
- "name": "Algebra",
- "children": [
- {
- "name": "Equations and Functions",
- "children": [
- {
- "name": "Variable Expressions",
- "children": [
- {
- "name": "Evaluate Algebraic Expressions",
- "size": 26
- }
- ]
- },
- {
- "name": "Order of Operations",
- "children": [
- {
- "name": "Evaluate Algebraic Expressions with Exponents",
- "size": 81
- },
- {
- "name": "Order of Operations",
- "size": 72
- },
- {
- "name": "Evaluate Algebraic Expressions with Grouping Symbols",
- "size": 91
- },
- {
- "name": "Evaluate Algebraic Expressions with Fraction Bars",
- "size": 71
- }
- ]
- },
- {
- "name": "Patterns and Equations",
- "children": [
- {
- "name": "Evaluate Algebraic Expressions with a TI-83/84 Family Graphing Calculator",
- "size": 6
- },
- {
- "name": "Write an Equation",
- "size": 20
- },
- {
- "name": "Use a Verbal Model to Write an Equation",
- "size": 53
- }
- ]
- },
- {
- "name": "Equations and Inequalities",
- "children": [
- {
- "name": "Solve Problems Using Equations",
- "size": 88
- },
- {
- "name": "Write Equations and Inequalities",
- "size": 55
- },
- {
- "name": "Check Solutions to Equations",
- "size": 93
- }
- ]
- },
- {
- "name": "Functions as Rules and Tables",
- "children": [
- {
- "name": "Check Solutions to Inequalities",
- "size": 35
- },
- {
- "name": "Identify the Domain and Range of a Function",
- "size": 2
- },
- {
- "name": "Make a Table For a Function",
- "size": 15
- },
- {
- "name": "Write a Function Rule",
- "size": 32
- }
- ]
- },
- {
- "name": "Functions as Graphs",
- "children": [
- {
- "name": "Represent a Real-World Situation with a Function",
- "size": 31
- },
- {
- "name": "Graph a Function From a Rule or Table",
- "size": 52
- },
- {
- "name": "Write a Function Rule from a Graph",
- "size": 15
- }
- ]
- },
- {
- "name": "Problem-Solving Plan",
- "children": [
- {
- "name": "Determine Whether a Relation is a Function",
- "size": 82
- },
- {
- "name": "Read and Understand a Given Problem Situation",
- "size": 12
- },
- {
- "name": "Make a Plan to Solve the Problem",
- "size": 29
- },
- {
- "name": "Solve the Problem and Check the Results",
- "size": 66
- }
- ]
- }
- ]
- },
- {
- "name": "Real Numbers",
- "children": [
- {
- "name": "Problem-Solving Strategies: Make a Table and Look for a Pattern",
- "children": [
- {
- "name": "Compare Alternative Approaches to Solving the Problem",
- "size": 10
- },
- {
- "name": "Read and Understand Given Problem Situations",
- "size": 28
- },
- {
- "name": "Develop and Use the Strategy: Make a Table",
- "size": 92
- },
- {
- "name": "Develop and Use the Strategy: Look for a Pattern",
- "size": 85
- }
- ]
- },
- {
- "name": "Integers and Rational Numbers",
- "children": [
- {
- "name": "Plan and Compare Alternative Approaches to Solving Problems",
- "size": 42
- },
- {
- "name": "Graph and Compare Integers",
- "size": 83
- },
- {
- "name": "Classifying Rational Numbers",
- "size": 54
- },
- {
- "name": "Order Rational Numbers",
- "size": 83
- },
- {
- "name": "Graph and Order Rational Numbers",
- "size": 23
- },
- {
- "name": "Find the Opposites of Numbers",
- "size": 90
- }
- ]
- },
- {
- "name": "Adding and Subtracting Rational Numbers",
- "children": [
- {
- "name": "Find Absolute Values",
- "size": 16
- },
- {
- "name": "Add and Subtract Using a Number Line",
- "size": 54
- },
- {
- "name": "Adding and Subtracting Rational Numbers",
- "size": 86
- },
- {
- "name": "Identify and Apply Properties of Addition",
- "size": 89
- }
- ]
- },
- {
- "name": "Multiplying and Dividing Rational Numbers",
- "children": [
- {
- "name": "Evaluate Change Using a Variable Expression",
- "size": 46
- },
- {
- "name": "Multiplying Numbers by Negative One",
- "size": 61
- },
- {
- "name": "Multiply Rational Numbers",
- "size": 90
- },
- {
- "name": "Identify and Apply Properties of Multiplication",
- "size": 64
- },
- {
- "name": "Identity Elements",
- "size": 80
- },
- {
- "name": "Find Multiplicative Inverses",
- "size": 21
- }
- ]
- },
- {
- "name": "The Distributive Property",
- "children": [
- {
- "name": "Divide Rational Numbers",
- "size": 87
- },
- {
- "name": "Apply the Distributive Property",
- "size": 63
- }
- ]
- },
- {
- "name": "Square Roots and Real Numbers",
- "children": [
- {
- "name": "Identify Expressions That Involve the Distributive Property",
- "size": 29
- },
- {
- "name": "Find Square Roots",
- "size": 42
- },
- {
- "name": "Approximate Square Roots",
- "size": 8
- },
- {
- "name": "Identify Irrational Numbers",
- "size": 34
- }
- ]
- }
- ]
- },
- {
- "name": "Equations of Lines",
- "children": [
- {
- "name": "Problem-Solving Strategies: Guess and Check, Work Backward",
- "children": [
- {
- "name": "Classify Real Numbers",
- "size": 47
- },
- {
- "name": "Develop and Use the Strategy “Guess and Check”",
- "size": 100
- },
- {
- "name": "Develop and Use the Strategy “Work Backward”",
- "size": 92
- }
- ]
- },
- {
- "name": "One-Step Equations",
- "children": [
- {
- "name": "Plan and Compare Alternative Approaches to Solving Problems",
- "size": 43
- },
- {
- "name": "Solving Equations Using Addition and Subtraction",
- "size": 61
- }
- ]
- },
- {
- "name": "Two-Step Equations",
- "children": [
- {
- "name": "Solving Equations Using Multiplication and Division",
- "size": 95
- },
- {
- "name": "Solve a Two-Step Equation",
- "size": 33
- }
- ]
- },
- {
- "name": "Multi-Step Equations",
- "children": [
- {
- "name": "Solve a Two-Step Equation by Combining Like Terms",
- "size": 10
- },
- {
- "name": "Solving Multi-Step Equations by Combining Like Terms",
- "size": 12
- },
- {
- "name": "Solving Multi-Step Equations Using the Distributive Property",
- "size": 57
- },
- {
- "name": "Ohm’s Law",
- "size": 84
- },
- {
- "name": "Distance, Speed and Time",
- "size": 82
- }
- ]
- },
- {
- "name": "Equations with Variables on Both Sides",
- "children": [
- {
- "name": "Speed of Sound",
- "size": 54
- },
- {
- "name": "Solve an Equation with Variables on Both Sides",
- "size": 67
- }
- ]
- },
- {
- "name": "Ratios and Proportions",
- "children": [
- {
- "name": "Solve an Equation with Grouping Symbols",
- "size": 36
- },
- {
- "name": "Write a ratio",
- "size": 98
- },
- {
- "name": "Write and Solve a Proportion",
- "size": 21
- },
- {
- "name": "Solve Proportions Using Cross Products",
- "size": 60
- }
- ]
- }
- ]
- },
- {
- "name": "Graphs of Equations and Functions",
- "children": [
- {
- "name": "Percent Problems",
- "children": [
- {
- "name": "Scale and Indirect Measurement",
- "size": 86
- },
- {
- "name": "Finding and Converting Percentages",
- "size": 91
- },
- {
- "name": "Use the Percent Equation",
- "size": 78
- }
- ]
- },
- {
- "name": "The Coordinate Plane",
- "children": [
- {
- "name": "Find Percent of Change",
- "size": 94
- },
- {
- "name": "The Coordinate Plane",
- "size": 71
- },
- {
- "name": "Identify Coordinates of Points",
- "size": 88
- },
- {
- "name": "Plot Points in a Coordinate Plane",
- "size": 59
- },
- {
- "name": "Graph a Function Given a Table",
- "size": 89
- }
- ]
- },
- {
- "name": "Graphs of Linear Equations",
- "children": [
- {
- "name": "Graph a Function Given a Rule",
- "size": 86
- },
- {
- "name": "Graph a Linear Equation",
- "size": 67
- },
- {
- "name": "Graphs and Equations of Horizontal and Vertical Lines",
- "size": 49
- }
- ]
- },
- {
- "name": "Graphing Using Intercepts",
- "children": [
- {
- "name": "Analyze Graphs of Linear Functions",
- "size": 25
- },
- {
- "name": "Finding Intercepts by Substitution",
- "size": 63
- }
- ]
- },
- {
- "name": "Slope and Rate of Change",
- "children": [
- {
- "name": "Finding Intercepts for Standard Form Equations Using the Cover-Up Method",
- "size": 11
- },
- {
- "name": "Find the Slope of a Line",
- "size": 38
- },
- {
- "name": "Find the Slopes of Horizontal and Vertical lines",
- "size": 80
- },
- {
- "name": "Find a Rate of Change",
- "size": 45
- }
- ]
- },
- {
- "name": "Graphs Using Slope-Intercept Form",
- "children": [
- {
- "name": "Interpret a Graph to Compare Rates of Change",
- "size": 2
- },
- {
- "name": "Graph an Equation in Slope-Intercept Form",
- "size": 1
- }
- ]
- },
- {
- "name": "Direct Variation Models",
- "children": [
- {
- "name": "Changing the Slope or Intercept of a Line",
- "size": 33
- },
- {
- "name": "Identify Direct Variation",
- "size": 13
- },
- {
- "name": "Graph Direct Variation Equations",
- "size": 17
- }
- ]
- },
- {
- "name": "Linear Function Graphs",
- "children": [
- {
- "name": "Ohm's Law",
- "size": 1
- },
- {
- "name": "Functions",
- "size": 98
- },
- {
- "name": "Use Function Notation",
- "size": 74
- },
- {
- "name": "Graph a Linear Function",
- "size": 82
- }
- ]
- }
- ]
- },
- {
- "name": "Writing Linear Equations",
- "children": [
- {
- "name": "Problem-Solving Strategies - Graphs",
- "children": []
- },
- {
- "name": "Forms of Linear Equations",
- "children": [
- {
- "name": "Arithmetic Progressions",
- "size": 87
- },
- {
- "name": "Write an Equation Given the Slope and a Point",
- "size": 12
- },
- {
- "name": "Write an Equation Given Two Points",
- "size": 73
- },
- {
- "name": "Graph an Equation in Point-Slope Form",
- "size": 51
- },
- {
- "name": "Linear Equations in Standard Form",
- "size": 69
- },
- {
- "name": "Converting to Standard Form",
- "size": 88
- }
- ]
- },
- {
- "name": "Equations of Parallel and Perpendicular Lines",
- "children": [
- {
- "name": "Graphing Equations in Standard Form",
- "size": 79
- },
- {
- "name": "Determine When Lines are Parallel or Perpendicular",
- "size": 41
- },
- {
- "name": "Write Equations of Parallel and Perpendicular Lines",
- "size": 93
- }
- ]
- },
- {
- "name": "Fitting a Line to Data",
- "children": [
- {
- "name": "Investigate Families of Lines",
- "size": 5
- },
- {
- "name": "Make a Scatter Plot",
- "size": 18
- },
- {
- "name": "Fit a Line to Data",
- "size": 82
- },
- {
- "name": "Write an Equation For a Line of Best Fit",
- "size": 62
- }
- ]
- }
- ]
- },
- {
- "name": "Linear Inequalities",
- "children": [
- {
- "name": "Predicting with Linear Models",
- "children": [
- {
- "name": "Perform Linear Regression With a Graphing Calculator",
- "size": 47
- },
- {
- "name": "Linear Interpolation",
- "size": 1
- }
- ]
- },
- {
- "name": "Solving Inequalities",
- "children": [
- {
- "name": "Linear Extrapolation",
- "size": 86
- },
- {
- "name": "Write and Graph Inequalities in One Variable on a Number Line",
- "size": 21
- },
- {
- "name": "Solving Inequalities Using Addition and Subtraction",
- "size": 19
- },
- {
- "name": "Solving Inequalities Using Multiplication and Division",
- "size": 35
- }
- ]
- },
- {
- "name": "Using Inequalities",
- "children": [
- {
- "name": "Solving Multi-Step Inequalities",
- "size": 55
- },
- {
- "name": "Expressing Solutions of an Inequality",
- "size": 54
- }
- ]
- },
- {
- "name": "Compound Inequalities",
- "children": [
- {
- "name": "Identify the Number of Solutions of an Inequality",
- "size": 2
- },
- {
- "name": "Write and Graph Compound Inequalities on a Number Line",
- "size": 100
- },
- {
- "name": "Solve a Compound Inequality With “and” or “or”",
- "size": 75
- }
- ]
- },
- {
- "name": "Absolute Value Equations and Inequalities",
- "children": [
- {
- "name": "Solve Compound Inequalities Using a Graphing Calculator (TI-83/84 family)",
- "size": 28
- },
- {
- "name": "Solve an Absolute Value Equation",
- "size": 55
- },
- {
- "name": "Analyze Solutions to Absolute Value Equations",
- "size": 21
- },
- {
- "name": "Graph Absolute Value Functions",
- "size": 47
- },
- {
- "name": "Absolute Value Inequalities",
- "size": 52
- },
- {
- "name": "Solve Absolute Value Inequalities",
- "size": 36
- },
- {
- "name": "Rewrite and Solve Absolute Value Inequalities as Compound Inequalities",
- "size": 18
- }
- ]
- }
- ]
- },
- {
- "name": "Solving Systems of Equations and Inequalities",
- "children": [
- {
- "name": "Linear Inequalities in Two Variables",
- "children": [
- {
- "name": "Further Resources",
- "size": 98
- },
- {
- "name": "Graph Linear Inequalities in One Variable in the Coordinate Plane",
- "size": 89
- }
- ]
- },
- {
- "name": "Linear Systems by Graphing",
- "children": [
- {
- "name": "Graph Linear Inequalities in Two Variables",
- "size": 74
- },
- {
- "name": "Determine Whether an Ordered Pair is a Solution to a System of Equations",
- "size": 17
- },
- {
- "name": "Determine the Solution to a Linear System by Graphing",
- "size": 82
- }
- ]
- },
- {
- "name": "Solving Linear Systems by Substitution",
- "children": [
- {
- "name": "Solving a System of Equations Using a Graphing Calculator",
- "size": 52
- },
- {
- "name": "Solving Linear Systems Using Substitution of Variable Expressions",
- "size": 1
- }
- ]
- },
- {
- "name": "Solving Linear Systems by Elimination",
- "children": [
- {
- "name": "Mixture Problems",
- "size": 70
- },
- {
- "name": "Solving Linear Systems Using Addition of Equations",
- "size": 3
- },
- {
- "name": "Solving Linear Systems Using Subtraction of Equations",
- "size": 73
- },
- {
- "name": "Solving Linear Systems Using Multiplication",
- "size": 43
- },
- {
- "name": "Solving a Linear System by Multiplying One Equation",
- "size": 4
- },
- {
- "name": "Solving a Linear System by Multiplying Both Equations",
- "size": 12
- }
- ]
- },
- {
- "name": "Special Types of Linear Systems",
- "children": [
- {
- "name": "Comparing Methods for Solving Linear Systems",
- "size": 38
- },
- {
- "name": "Determining the Type of System Algebraically",
- "size": 43
- }
- ]
- }
- ]
- },
- {
- "name": "Exponential Functions",
- "children": [
- {
- "name": "Systems of Linear Inequalities",
- "children": [
- {
- "name": "Applications",
- "size": 61
- },
- {
- "name": "Graph a System of Two Linear Inequalities",
- "size": 85
- }
- ]
- },
- {
- "name": "Exponent Properties Involving Products",
- "children": [
- {
- "name": "Graph a System of More Than Two Linear Inequalities",
- "size": 5
- },
- {
- "name": "Use the Product of Powers Property",
- "size": 83
- }
- ]
- },
- {
- "name": "Exponent Properties Involving Quotients",
- "children": [
- {
- "name": "Use the Power of a Product Property",
- "size": 62
- },
- {
- "name": "Use the Quotient of Powers Property",
- "size": 26
- }
- ]
- },
- {
- "name": "Zero, Negative, and Fractional Exponents",
- "children": [
- {
- "name": "The Power of a Quotient Property",
- "size": 40
- },
- {
- "name": "Simplify Expressions With Negative Exponents",
- "size": 1
- },
- {
- "name": "Simplify Expressions with Exponents of Zero",
- "size": 69
- },
- {
- "name": "Simplify Expressions With Fractional Exponents",
- "size": 8
- }
- ]
- },
- {
- "name": "Scientific Notation",
- "children": [
- {
- "name": "Evaluate Exponential Expressions",
- "size": 18
- },
- {
- "name": "Writing Numbers in Scientific Notation",
- "size": 76
- },
- {
- "name": "Evaluating Expressions in Scientific Notation",
- "size": 76
- }
- ]
- },
- {
- "name": "Geometric Sequences",
- "children": [
- {
- "name": "Evaluate Expressions in Scientific Notation Using a Graphing Calculator",
- "size": 22
- }
- ]
- },
- {
- "name": "Exponential Functions",
- "children": [
- {
- "name": "Identify a Geometric Sequence",
- "size": 53
- },
- {
- "name": "Exponential Functions",
- "size": 30
- }
- ]
- }
- ]
- },
- {
- "name": "Polynomials",
- "children": [
- {
- "name": "Applications of Exponential Functions",
- "children": [
- {
- "name": "Compare Graphs of Exponential Functions",
- "size": 66
- }
- ]
- },
- {
- "name": "Addition and Subtraction of Polynomials",
- "children": [
- {
- "name": "Problem-Solving Strategies",
- "size": 79
- },
- {
- "name": "Degrees of Polynomials and Standard Form",
- "size": 59
- },
- {
- "name": "Simplifying Polynomials",
- "size": 38
- },
- {
- "name": "Adding and Subtracting Polynomials",
- "size": 22
- }
- ]
- },
- {
- "name": "Multiplication of Polynomials",
- "children": [
- {
- "name": "Problem Solving Using Addition or Subtraction of Polynomials",
- "size": 61
- },
- {
- "name": "Multiplying a Polynomial by a Monomial",
- "size": 3
- }
- ]
- },
- {
- "name": "Special Products of Polynomials",
- "children": [
- {
- "name": "Multiplying Two Polynomials",
- "size": 81
- },
- {
- "name": "Find the Square of a Binomial",
- "size": 65
- }
- ]
- },
- {
- "name": "Polynomial Equations in Factored Form",
- "children": [
- {
- "name": "Find the Product of Binomials Using Sum and Difference Patterns",
- "size": 35
- },
- {
- "name": "Find the Greatest Common Monomial Factor",
- "size": 42
- },
- {
- "name": "Use the Zero-Product Property",
- "size": 45
- }
- ]
- },
- {
- "name": "Factoring Quadratic Expressions",
- "children": [
- {
- "name": "Solve Simple Polynomial Equations by Factoring",
- "size": 10
- },
- {
- "name": "Write Quadratic Expressions in Standard Form",
- "size": 34
- },
- {
- "name": "Factor when a = 1, b is Positive, and c is Positive",
- "size": 40
- },
- {
- "name": "Factor when a = 1, b is Negative and c is Positive",
- "size": 12
- },
- {
- "name": "Factor when a = 1 and c is Negative",
- "size": 16
- }
- ]
- },
- {
- "name": "Factoring Special Products",
- "children": [
- {
- "name": "Factor when a = - 1",
- "size": 22
- },
- {
- "name": "Factor the Difference of Two Squares",
- "size": 73
- },
- {
- "name": "Factor Perfect Square Trinomials",
- "size": 83
- }
- ]
- }
- ]
- },
- {
- "name": "Quadratic Equations and Quadratic Functions",
- "children": [
- {
- "name": "Factoring Polynomials Completely",
- "children": [
- {
- "name": "Solve Quadratic Polynomial Equations by Factoring",
- "size": 34
- },
- {
- "name": "Factor out a Common Binomial",
- "size": 10
- },
- {
- "name": "Factor by Grouping",
- "size": 4
- },
- {
- "name": "Factor Quadratic Trinomials Where a ≠ 1",
- "size": 84
- }
- ]
- },
- {
- "name": "Graphs of Quadratic Functions",
- "children": [
- {
- "name": "Resources",
- "size": 66
- },
- {
- "name": "Graph Quadratic Functions",
- "size": 95
- },
- {
- "name": "Compare Graphs of Quadratic Functions",
- "size": 14
- },
- {
- "name": "Graph Quadratic Functions in Intercept Form",
- "size": 3
- }
- ]
- },
- {
- "name": "Quadratic Equations by Graphing",
- "children": [
- {
- "name": "Analyze Graphs of Real-World Quadratic Functions.",
- "size": 8
- },
- {
- "name": "Identify the Number of Solutions of a Quadratic Equation",
- "size": 60
- },
- {
- "name": "Solve Quadratic Equations by Graphing",
- "size": 68
- }
- ]
- },
- {
- "name": "Quadratic Equations by Square Roots",
- "children": [
- {
- "name": "Analyze Quadratic Functions Using a Graphing Calculator",
- "size": 27
- },
- {
- "name": "Solve Quadratic Equations Involving Perfect Squares",
- "size": 96
- }
- ]
- },
- {
- "name": "Solving Quadratic Equations by Completing the Square",
- "children": [
- {
- "name": "Approximate Solutions of Quadratic Equations",
- "size": 31
- },
- {
- "name": "Complete the Square of a Quadratic Expression",
- "size": 40
- },
- {
- "name": "Solve Quadratic Equations by Completing the Square",
- "size": 29
- }
- ]
- },
- {
- "name": "Solving Quadratic Equations by the Quadratic Formula",
- "children": [
- {
- "name": "Graph Quadratic Functions in Vertex Form",
- "size": 16
- },
- {
- "name": "Solve Quadratic Equations Using the Quadratic Formula",
- "size": 53
- },
- {
- "name": "Finding the Vertex of a Parabola with the Quadratic Formula",
- "size": 5
- }
- ]
- },
- {
- "name": "The Discriminant",
- "children": [
- {
- "name": "Identify and Choose Methods for Solving Quadratic Equations.",
- "size": 8
- },
- {
- "name": "Find the Discriminant of a Quadratic Equation",
- "size": 59
- }
- ]
- }
- ]
- },
- {
- "name": "Algebra and Geometry Connections",
- "children": [
- {
- "name": "Linear, Exponential and Quadratic Models",
- "children": [
- {
- "name": "Interpret the Discriminant of a Quadratic Equation",
- "size": 99
- },
- {
- "name": "Identify Functions Using Differences or Ratios",
- "size": 50
- },
- {
- "name": "Write Equations for Functions",
- "size": 2
- }
- ]
- },
- {
- "name": "Graphs of Square Root Functions",
- "children": [
- {
- "name": "Perform Exponential and Quadratic Regressions with a Graphing Calculator",
- "size": 39
- }
- ]
- },
- {
- "name": "Radical Expressions",
- "children": [
- {
- "name": "Graph and Compare Square Root Functions",
- "size": 92
- },
- {
- "name": "Even and Odd Roots",
- "size": 11
- },
- {
- "name": "Use the Product and Quotient Properties of Radicals",
- "size": 77
- },
- {
- "name": "Add and Subtract Radical Expressions",
- "size": 11
- },
- {
- "name": "Multiply Radical Expressions",
- "size": 7
- }
- ]
- },
- {
- "name": "Radical Equations",
- "children": [
- {
- "name": "Rationalize the Denominator",
- "size": 74
- },
- {
- "name": "Solve a Radical Equation",
- "size": 4
- },
- {
- "name": "Solve Radical Equations with Radicals on Both Sides",
- "size": 90
- }
- ]
- },
- {
- "name": "The Pythagorean Theorem and Its Converse",
- "children": [
- {
- "name": "Identify Extraneous Solutions to Radical Equations",
- "size": 16
- },
- {
- "name": "Use the Pythagorean Theorem and Its Converse",
- "size": 94
- }
- ]
- }
- ]
- }
- ]
- }
- ]
- }
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