{ "name": "Arithmetic", "children": [ { "name": "Trigonometry", "children": [ { "name": "Right Triangles and an Introduction to Trigonometry", "children": [ { "name": "The Pythagorean Theorem" }, { "name": "Special Right Triangles" }, { "name": "Basic Trigonometric Functions" }, { "name": "Solving Right Triangles" }, { "name": "Measuring Rotation" }, { "name": "Applying Trig Functions to Angles of Rotation" }, { "name": "Trigonometric Functions of Any Angle" } ] }, { "name": "Graphing Trigonometric Functions - 2nd edition", "children": [ { "name": "Relating Trigonometric Functions" }, { "name": "Radian Measure" }, { "name": "Applications of Radian Measure" }, { "name": "Circular Functions of Real Numbers" }, { "name": "Translating Sine and Cosine Functions" }, { "name": "Amplitude, Period and Frequency" }, { "name": "General Sinusoidal Graphs" } ] }, { "name": "Trigonometric Identities and Equations - 2nd edition", "children": [ { "name": "Graphing Tangent, Cotangent, Secant, and Cosecant" }, { "name": "Fundamental Identities" }, { "name": "Proving Identities" }, { "name": "Solving Trigonometric Equations" }, { "name": "Sum and Difference Identities" }, { "name": "Double Angle Identities" }, { "name": "Half-Angle Identities" } ] }, { "name": "Inverse Trigonometric Functions - 2nd edition", "children": [ { "name": "Products, Sums, Linear Combinations, and Applications" }, { "name": "Basic Inverse Trigonometric Functions" }, { "name": "Graphing Inverse Trigonometric Functions" }, { "name": "Inverse Trigonometric Properties" } ] }, { "name": "Triangles and Vectors", "children": [ { "name": "Applications & Models" }, { "name": "The Law of Cosines" }, { "name": "Area of a Triangle" }, { "name": "The Law of Sines" }, { "name": "The Ambiguous Case" }, { "name": "General Solutions of Triangles" }, { "name": "Vectors" } ] } ] }, { "name": "Algebra", "children": [ { "name": "Equations and Functions", "children": [ { "name": "Variable Expressions" }, { "name": "Order of Operations" }, { "name": "Patterns and Equations" }, { "name": "Equations and Inequalities" }, { "name": "Functions as Rules and Tables" }, { "name": "Functions as Graphs" }, { "name": "Problem-Solving Plan" } ] }, { "name": "Real Numbers", "children": [ { "name": "Problem-Solving Strategies: Make a Table and Look for a Pattern" }, { "name": "Integers and Rational Numbers" }, { "name": "Adding and Subtracting Rational Numbers" }, { "name": "Multiplying and Dividing Rational Numbers" }, { "name": "The Distributive Property" }, { "name": "Square Roots and Real Numbers" } ] }, { "name": "Equations of Lines", "children": [ { "name": "Problem-Solving Strategies: Guess and Check, Work Backward" }, { "name": "One-Step Equations" }, { "name": "Two-Step Equations" }, { "name": "Multi-Step Equations" }, { "name": "Equations with Variables on Both Sides" }, { "name": "Ratios and Proportions" } ] }, { "name": "Graphs of Equations and Functions", "children": [ { "name": "Percent Problems" }, { "name": "The Coordinate Plane" }, { "name": "Graphs of Linear Equations" }, { "name": "Graphing Using Intercepts" }, { "name": "Slope and Rate of Change" }, { "name": "Graphs Using Slope-Intercept Form" }, { "name": "Direct Variation Models" }, { "name": "Linear Function Graphs" } ] }, { "name": "Writing Linear Equations", "children": [ { "name": "Problem-Solving Strategies - Graphs" }, { "name": "Forms of Linear Equations" }, { "name": "Equations of Parallel and Perpendicular Lines" }, { "name": "Fitting a Line to Data" } ] }, { "name": "Linear Inequalities", "children": [ { "name": "Predicting with Linear Models" }, { "name": "Solving Inequalities" }, { "name": "Using Inequalities" }, { "name": "Compound Inequalities" }, { "name": "Absolute Value Equations and Inequalities" } ] }, { "name": "Solving Systems of Equations and Inequalities", "children": [ { "name": "Linear Inequalities in Two Variables" }, { "name": "Linear Systems by Graphing" }, { "name": "Solving Linear Systems by Substitution" }, { "name": "Solving Linear Systems by Elimination" }, { "name": "Special Types of Linear Systems" } ] }, { "name": "Exponential Functions", "children": [ { "name": "Systems of Linear Inequalities" }, { "name": "Exponent Properties Involving Products" }, { "name": "Exponent Properties Involving Quotients" }, { "name": "Zero, Negative, and Fractional Exponents" }, { "name": "Scientific Notation" }, { "name": "Geometric Sequences" }, { "name": "Exponential Functions" } ] }, { "name": "Polynomials", "children": [ { "name": "Applications of Exponential Functions" }, { "name": "Addition and Subtraction of Polynomials" }, { "name": "Multiplication of Polynomials" }, { "name": "Special Products of Polynomials" }, { "name": "Polynomial Equations in Factored Form" }, { "name": "Factoring Quadratic Expressions" }, { "name": "Factoring Special Products" } ] }, { "name": "Quadratic Equations and Quadratic Functions", "children": [ { "name": "Factoring Polynomials Completely" }, { "name": "Graphs of Quadratic Functions" }, { "name": "Quadratic Equations by Graphing" }, { "name": "Quadratic Equations by Square Roots" }, { "name": "Solving Quadratic Equations by Completing the Square" }, { "name": "Solving Quadratic Equations by the Quadratic Formula" }, { "name": "The Discriminant" } ] }, { "name": "Algebra and Geometry Connections", "children": [ { "name": "Linear, Exponential and Quadratic Models" }, { "name": "Graphs of Square Root Functions" }, { "name": "Radical Expressions" }, { "name": "Radical Equations" }, { "name": "The Pythagorean Theorem and Its Converse" } ] } ] } ] }