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September 30, 2011 22:28
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Zoomable Icicle with Text in D3.js
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| { | |
| "MAT": { | |
| "TRI": { | |
| "Triangles and Vectors": { | |
| "Vectors": { | |
| "Directed Line Segments, Equal Vectors, and Absolute Value": 100, | |
| "Vector Addition": 46, | |
| "Using the Law of Sines": 33, | |
| "Vector Subtraction": 15 | |
| }, | |
| "General Solutions of Triangles": { | |
| "Using the Law of Cosines": 56, | |
| "Summary of Triangle Techniques": 53 | |
| }, | |
| "Applications & Models": {}, | |
| "The Law of Cosines": { | |
| "Trigonometry in Terms of Algebra": 26, | |
| "Case #2: Finding any Angle of a Triangle": 68, | |
| "Case #1: Finding the Side of an Oblique Triangle": 6, | |
| "Derive the Law of Cosines": 22 | |
| }, | |
| "Area of a Triangle": { | |
| "Find the Area Using Three Sides: Heron’s Formula": 41, | |
| "Identify Accurate Drawings of General Triangles": 39, | |
| "Heron’s Formula:": 22 | |
| }, | |
| "The Ambiguous Case": { | |
| "Solving Triangles": 75, | |
| "Using the Law of Sines": 42, | |
| "Possible Triangles with SSA": 17 | |
| }, | |
| "The Law of Sines": { | |
| "ASA (Angle-Side-Angle)": 25, | |
| "AAS (Angle-Angle-Side)": 70, | |
| "Finding a Part of the Triangle, Given the Area": 91, | |
| "Deriving the Law of Sines": 38 | |
| } | |
| }, | |
| "Inverse Trigonometric Functions - 2nd edition": { | |
| "Basic Inverse Trigonometric Functions": { | |
| "Applications & Technology": 52, | |
| "Exact Values for Inverse Sine, Cosine, and Tangent": 59, | |
| "Defining the Inverse of the Trigonometric Ratios": 57 | |
| }, | |
| "Graphing Inverse Trigonometric Functions": { | |
| "Finding Inverses Algebraically": 88, | |
| "Finding the Inverse by Mapping": 75 | |
| }, | |
| "Products, Sums, Linear Combinations, and Applications": { | |
| "Triple-Angle Formulas and Beyond": 90, | |
| "Product to Sum Formulas for Sine and Cosine": 21, | |
| "Solving Equations with Product and Sum Formulas": 96, | |
| "Solving Trigonometric Equations Using Half Angle Formulas": 79, | |
| "Sum to Product Formulas for Sine and Cosine": 53, | |
| "Linear Combinations": 84 | |
| }, | |
| "Inverse Trigonometric Properties": { | |
| "Finding the Inverse of the Trigonometric Functions": 29, | |
| "Composing Trig Functions and their Inverses": 19, | |
| "Composing Trigonometric Functions": 77, | |
| "Composing Inverse Reciprocal Trig Functions": 49, | |
| "Inverse Reciprocal Functions": 75 | |
| } | |
| }, | |
| "Right Triangles and an Introduction to Trigonometry": { | |
| "The Pythagorean Theorem": { | |
| "The Pythagorean Theorem": 34, | |
| "Pythagorean Triples": 29, | |
| "Converse of the Pythagorean Theorem": 14 | |
| }, | |
| "Special Right Triangles": { | |
| "The Distance Formula": 97, | |
| "Special Right Triangle #1: Isosceles Right Triangle": 9, | |
| "Special Right Triangle #2: 30-60-90 Triangle": 60 | |
| }, | |
| "Basic Trigonometric Functions": { | |
| "Using Special Right Triangle Ratios": 8, | |
| "The Sine, Cosine, and Tangent Functions": 19 | |
| }, | |
| "Solving Right Triangles": { | |
| "Finding the Area of a Triangle": 69, | |
| "Solving Right Triangles": 69, | |
| "Inverse Trigonometric Functions": 30, | |
| "Secant, Cosecant, and Cotangent Functions": 80, | |
| "Right Triangles and Bearings": 45, | |
| "Angles of Elevation and Depression": 59 | |
| }, | |
| "Measuring Rotation": { | |
| "Other Applications of Right Triangles": 50, | |
| "Angles of Rotation in Standard Position": 66 | |
| }, | |
| "Trigonometric Functions of Any Angle": { | |
| "The Unit Circle": 55, | |
| "Trigonometric Functions of Angles Greater than 360 Degrees": 31, | |
| "Reference Angles and Angles in the Unit Circle": 38, | |
| "Trigonometric Functions of Negative Angles": 68 | |
| }, | |
| "Applying Trig Functions to Angles of Rotation": { | |
| "Trigonometric Functions of Angles in Standard Position": 99, | |
| "Coterminal Angles": 61 | |
| } | |
| }, | |
| "Graphing Trigonometric Functions - 2nd edition": { | |
| "Translating Sine and Cosine Functions": { | |
| "Secant": 75, | |
| "Vertical Translations": 92 | |
| }, | |
| "Applications of Radian Measure": { | |
| "Rotations": 65, | |
| "Check the Mode": 69, | |
| "Length of a Chord": 40, | |
| "Length of Arc": 56, | |
| "Area of a Sector": 23 | |
| }, | |
| "Circular Functions of Real Numbers": { | |
| "Cotangent": 41, | |
| "The Three Reciprocal Functions": 34, | |
| "Angular Velocity": 83, | |
| "The Cosine Graph": 58, | |
| "Cosecant": 13, | |
| "The Sine Graph": 95, | |
| "The Tangent Graph": 11 | |
| }, | |
| "Relating Trigonometric Functions": { | |
| "Cofunction Identities and Reflection": 10, | |
| "Using a Calculator to Find Values": 48, | |
| "Quotient Identities": 28, | |
| "Domain, Range, and Signs of Trig Functions": 62, | |
| "Reciprocal identities": 29 | |
| }, | |
| "General Sinusoidal Graphs": { | |
| "Drawing Sketches/Identifying Transformations from the Equation": 33, | |
| "The Generalized Equations": 67, | |
| "Combining Amplitude and Period": 72 | |
| }, | |
| "Amplitude, Period and Frequency": { | |
| "Horizontal Translations or Phase Shifts": 97, | |
| "Period and Frequency": 26, | |
| "Amplitude": 72 | |
| }, | |
| "Radian Measure": { | |
| "Converting Any Degree to Radians": 7, | |
| "Critial Angles in Radians": 98, | |
| "Understanding Radian Measure": 100, | |
| "Pythagorean Identities": 38, | |
| "The Six Trig Functions and Radians": 65 | |
| } | |
| }, | |
| "Trigonometric Identities and Equations - 2nd edition": { | |
| "Graphing Tangent, Cotangent, Secant, and Cosecant": { | |
| "Writing the Equation from a Sketch": 48, | |
| "Tangent and Cotangent": 44, | |
| "Secant and Cosecant": 12 | |
| }, | |
| "Proving Identities": { | |
| "Cofunction Identities": 95, | |
| "Working with Trigonometric Identities": 12 | |
| }, | |
| "Half-Angle Identities": { | |
| "Solving Equations with Double Angle Identities": 40, | |
| "Deriving the Half Angle Formulas": 100 | |
| }, | |
| "Fundamental Identities": { | |
| "Graphing Calculator Note": 66, | |
| "Pythagorean Identity": 50, | |
| "Quotient Identity": 63, | |
| "Even and Odd Identities": 22, | |
| "Reciprocal Identities": 65 | |
| }, | |
| "Solving Trigonometric Equations": { | |
| "Technology Note": 42, | |
| "Simplifying Trigonometric Expressions": 5, | |
| "Solving Trigonometric Equations Using Factoring": 6, | |
| "Solving Trigonometric Equations": 21 | |
| }, | |
| "Sum and Difference Identities": { | |
| "Using the Sum and Difference Identities of cosine": 21, | |
| "Using the Sum and Difference Identities to Verify Other Identities": 91, | |
| "Sum and Difference Identities: Tangent": 79, | |
| "Sum and Difference Identities: sine": 98, | |
| "Solving Trigonometric Equations Using the Quadratic Formula": 77, | |
| "Sum and Difference Formulas: cosine": 17 | |
| }, | |
| "Double Angle Identities": { | |
| "Solving Equations with the Sum and Difference Formulas": 84, | |
| "Applying the Double Angle Identities": 9, | |
| "Deriving the Double Angle Identities": 43 | |
| } | |
| } | |
| }, | |
| "ALG": { | |
| "Real Numbers": { | |
| "Integers and Rational Numbers": { | |
| "Order Rational Numbers": 60, | |
| "Classifying Rational Numbers": 94, | |
| "Graph and Compare Integers": 63, | |
| "Find the Opposites of Numbers": 58, | |
| "Plan and Compare Alternative Approaches to Solving Problems": 78, | |
| "Graph and Order Rational Numbers": 55 | |
| }, | |
| "Adding and Subtracting Rational Numbers": { | |
| "Identify and Apply Properties of Addition": 77, | |
| "Adding and Subtracting Rational Numbers": 66, | |
| "Add and Subtract Using a Number Line": 48, | |
| "Find Absolute Values": 3 | |
| }, | |
| "Problem-Solving Strategies: Make a Table and Look for a Pattern": { | |
| "Read and Understand Given Problem Situations": 64, | |
| "Develop and Use the Strategy: Make a Table": 86, | |
| "Develop and Use the Strategy: Look for a Pattern": 9, | |
| "Compare Alternative Approaches to Solving the Problem": 76 | |
| }, | |
| "Multiplying and Dividing Rational Numbers": { | |
| "Multiplying Numbers by Negative One": 37, | |
| "Identity Elements": 94, | |
| "Multiply Rational Numbers": 70, | |
| "Find Multiplicative Inverses": 73, | |
| "Evaluate Change Using a Variable Expression": 33, | |
| "Identify and Apply Properties of Multiplication": 91 | |
| }, | |
| "The Distributive Property": { | |
| "Divide Rational Numbers": 62, | |
| "Apply the Distributive Property": 34 | |
| }, | |
| "Square Roots and Real Numbers": { | |
| "Find Square Roots": 79, | |
| "Approximate Square Roots": 9, | |
| "Identify Irrational Numbers": 49, | |
| "Identify Expressions That Involve the Distributive Property": 41 | |
| } | |
| }, | |
| "Algebra and Geometry Connections": { | |
| "Graphs of Square Root Functions": { | |
| "Perform Exponential and Quadratic Regressions with a Graphing Calculator": 48 | |
| }, | |
| "Radical Expressions": { | |
| "Even and Odd Roots": 35, | |
| "Multiply Radical Expressions": 67, | |
| "Use the Product and Quotient Properties of Radicals": 73, | |
| "Graph and Compare Square Root Functions": 84, | |
| "Add and Subtract Radical Expressions": 79 | |
| }, | |
| "Linear, Exponential and Quadratic Models": { | |
| "Interpret the Discriminant of a Quadratic Equation": 11, | |
| "Identify Functions Using Differences or Ratios": 25, | |
| "Write Equations for Functions": 26 | |
| }, | |
| "Radical Equations": { | |
| "Solve Radical Equations with Radicals on Both Sides": 15, | |
| "Rationalize the Denominator": 12, | |
| "Solve a Radical Equation": 50 | |
| }, | |
| "The Pythagorean Theorem and Its Converse": { | |
| "Use the Pythagorean Theorem and Its Converse": 3, | |
| "Identify Extraneous Solutions to Radical Equations": 25 | |
| } | |
| }, | |
| "Quadratic Equations and Quadratic Functions": { | |
| "Quadratic Equations by Graphing": { | |
| "Identify the Number of Solutions of a Quadratic Equation": 75, | |
| "Analyze Graphs of Real-World Quadratic Functions.": 38, | |
| "Solve Quadratic Equations by Graphing": 6 | |
| }, | |
| "Graphs of Quadratic Functions": { | |
| "Graph Quadratic Functions": 11, | |
| "Graph Quadratic Functions in Intercept Form": 98, | |
| "Resources": 69, | |
| "Compare Graphs of Quadratic Functions": 44 | |
| }, | |
| "Quadratic Equations by Square Roots": { | |
| "Solve Quadratic Equations Involving Perfect Squares": 78, | |
| "Analyze Quadratic Functions Using a Graphing Calculator": 30 | |
| }, | |
| "The Discriminant": { | |
| "Identify and Choose Methods for Solving Quadratic Equations.": 29, | |
| "Find the Discriminant of a Quadratic Equation": 71 | |
| }, | |
| "Solving Quadratic Equations by the Quadratic Formula": { | |
| "Solve Quadratic Equations Using the Quadratic Formula": 41, | |
| "Finding the Vertex of a Parabola with the Quadratic Formula": 77, | |
| "Graph Quadratic Functions in Vertex Form": 51 | |
| }, | |
| "Factoring Polynomials Completely": { | |
| "Factor Quadratic Trinomials Where a ≠ 1": 28, | |
| "Solve Quadratic Polynomial Equations by Factoring": 77, | |
| "Factor by Grouping": 10, | |
| "Factor out a Common Binomial": 28 | |
| }, | |
| "Solving Quadratic Equations by Completing the Square": { | |
| "Complete the Square of a Quadratic Expression": 56, | |
| "Solve Quadratic Equations by Completing the Square": 25, | |
| "Approximate Solutions of Quadratic Equations": 15 | |
| } | |
| }, | |
| "Writing Linear Equations": { | |
| "Fitting a Line to Data": { | |
| "Write an Equation For a Line of Best Fit": 84, | |
| "Make a Scatter Plot": 60, | |
| "Fit a Line to Data": 50, | |
| "Investigate Families of Lines": 1 | |
| }, | |
| "Forms of Linear Equations": { | |
| "Linear Equations in Standard Form": 40, | |
| "Converting to Standard Form": 9, | |
| "Arithmetic Progressions": 72, | |
| "Write an Equation Given Two Points": 62, | |
| "Write an Equation Given the Slope and a Point": 56, | |
| "Graph an Equation in Point-Slope Form": 18 | |
| }, | |
| "Problem-Solving Strategies - Graphs": {}, | |
| "Equations of Parallel and Perpendicular Lines": { | |
| "Write Equations of Parallel and Perpendicular Lines": 78, | |
| "Determine When Lines are Parallel or Perpendicular": 54, | |
| "Graphing Equations in Standard Form": 16 | |
| } | |
| }, | |
| "Equations of Lines": { | |
| "Two-Step Equations": { | |
| "Solve a Two-Step Equation": 31, | |
| "Solving Equations Using Multiplication and Division": 24 | |
| }, | |
| "Problem-Solving Strategies: Guess and Check, Work Backward": { | |
| "Classify Real Numbers": 94, | |
| "Develop and Use the Strategy “Guess and Check”": 84, | |
| "Develop and Use the Strategy “Work Backward”": 30 | |
| }, | |
| "Ratios and Proportions": { | |
| "Write a ratio": 77, | |
| "Write and Solve a Proportion": 53, | |
| "Solve Proportions Using Cross Products": 50, | |
| "Solve an Equation with Grouping Symbols": 11 | |
| }, | |
| "Equations with Variables on Both Sides": { | |
| "Solve an Equation with Variables on Both Sides": 46, | |
| "Speed of Sound": 44 | |
| }, | |
| "Multi-Step Equations": { | |
| "Distance, Speed and Time": 67, | |
| "Solving Multi-Step Equations Using the Distributive Property": 6, | |
| "Solving Multi-Step Equations by Combining Like Terms": 60, | |
| "Ohm’s Law": 24, | |
| "Solve a Two-Step Equation by Combining Like Terms": 43 | |
| }, | |
| "One-Step Equations": { | |
| "Plan and Compare Alternative Approaches to Solving Problems": 52, | |
| "Solving Equations Using Addition and Subtraction": 7 | |
| } | |
| }, | |
| "Polynomials": { | |
| "Factoring Special Products": { | |
| "Factor Perfect Square Trinomials": 19, | |
| "Factor when a = - 1": 64, | |
| "Factor the Difference of Two Squares": 94 | |
| }, | |
| "Addition and Subtraction of Polynomials": { | |
| "Adding and Subtracting Polynomials": 32, | |
| "Degrees of Polynomials and Standard Form": 37, | |
| "Simplifying Polynomials": 85, | |
| "Problem-Solving Strategies": 67 | |
| }, | |
| "Factoring Quadratic Expressions": { | |
| "Factor when a = 1, b is Negative and c is Positive": 37, | |
| "Factor when a = 1 and c is Negative": 78, | |
| "Write Quadratic Expressions in Standard Form": 33, | |
| "Factor when a = 1, b is Positive, and c is Positive": 47, | |
| "Solve Simple Polynomial Equations by Factoring": 95 | |
| }, | |
| "Special Products of Polynomials": { | |
| "Multiplying Two Polynomials": 81, | |
| "Find the Square of a Binomial": 25 | |
| }, | |
| "Polynomial Equations in Factored Form": { | |
| "Find the Product of Binomials Using Sum and Difference Patterns": 88, | |
| "Use the Zero-Product Property": 42, | |
| "Find the Greatest Common Monomial Factor": 96 | |
| }, | |
| "Multiplication of Polynomials": { | |
| "Problem Solving Using Addition or Subtraction of Polynomials": 6, | |
| "Multiplying a Polynomial by a Monomial": 68 | |
| }, | |
| "Applications of Exponential Functions": { | |
| "Compare Graphs of Exponential Functions": 76 | |
| } | |
| }, | |
| "Exponential Functions": { | |
| "Scientific Notation": { | |
| "Evaluating Expressions in Scientific Notation": 17, | |
| "Writing Numbers in Scientific Notation": 37, | |
| "Evaluate Exponential Expressions": 53 | |
| }, | |
| "Exponent Properties Involving Quotients": { | |
| "Use the Power of a Product Property": 99, | |
| "Use the Quotient of Powers Property": 86 | |
| }, | |
| "Exponential Functions": { | |
| "Identify a Geometric Sequence": 44, | |
| "Exponential Functions": 83 | |
| }, | |
| "Zero, Negative, and Fractional Exponents": { | |
| "Simplify Expressions with Exponents of Zero": 16, | |
| "Simplify Expressions With Negative Exponents": 66, | |
| "The Power of a Quotient Property": 69, | |
| "Simplify Expressions With Fractional Exponents": 23 | |
| }, | |
| "Exponent Properties Involving Products": { | |
| "Graph a System of More Than Two Linear Inequalities": 69, | |
| "Use the Product of Powers Property": 19 | |
| }, | |
| "Geometric Sequences": { | |
| "Evaluate Expressions in Scientific Notation Using a Graphing Calculator": 47 | |
| }, | |
| "Systems of Linear Inequalities": { | |
| "Graph a System of Two Linear Inequalities": 36, | |
| "Applications": 28 | |
| } | |
| }, | |
| "Solving Systems of Equations and Inequalities": { | |
| "Linear Inequalities in Two Variables": { | |
| "Further Resources": 22, | |
| "Graph Linear Inequalities in One Variable in the Coordinate Plane": 73 | |
| }, | |
| "Solving Linear Systems by Substitution": { | |
| "Solving Linear Systems Using Substitution of Variable Expressions": 72, | |
| "Solving a System of Equations Using a Graphing Calculator": 56 | |
| }, | |
| "Solving Linear Systems by Elimination": { | |
| "Mixture Problems": 30, | |
| "Solving Linear Systems Using Addition of Equations": 6, | |
| "Solving a Linear System by Multiplying One Equation": 91, | |
| "Solving Linear Systems Using Multiplication": 82, | |
| "Solving Linear Systems Using Subtraction of Equations": 27, | |
| "Solving a Linear System by Multiplying Both Equations": 30 | |
| }, | |
| "Linear Systems by Graphing": { | |
| "Determine Whether an Ordered Pair is a Solution to a System of Equations": 96, | |
| "Graph Linear Inequalities in Two Variables": 51, | |
| "Determine the Solution to a Linear System by Graphing": 25 | |
| }, | |
| "Special Types of Linear Systems": { | |
| "Comparing Methods for Solving Linear Systems": 85, | |
| "Determining the Type of System Algebraically": 45 | |
| } | |
| }, | |
| "Graphs of Equations and Functions": { | |
| "Direct Variation Models": { | |
| "Graph Direct Variation Equations": 74, | |
| "Changing the Slope or Intercept of a Line": 11, | |
| "Identify Direct Variation": 59 | |
| }, | |
| "The Coordinate Plane": { | |
| "Graph a Function Given a Table": 33, | |
| "The Coordinate Plane": 100, | |
| "Find Percent of Change": 26, | |
| "Plot Points in a Coordinate Plane": 75, | |
| "Identify Coordinates of Points": 97 | |
| }, | |
| "Slope and Rate of Change": { | |
| "Find the Slope of a Line": 48, | |
| "Find a Rate of Change": 50, | |
| "Finding Intercepts for Standard Form Equations Using the Cover-Up Method": 68, | |
| "Find the Slopes of Horizontal and Vertical lines": 19 | |
| }, | |
| "Percent Problems": { | |
| "Finding and Converting Percentages": 5, | |
| "Use the Percent Equation": 86, | |
| "Scale and Indirect Measurement": 42 | |
| }, | |
| "Graphs of Linear Equations": { | |
| "Graphs and Equations of Horizontal and Vertical Lines": 78, | |
| "Graph a Function Given a Rule": 93, | |
| "Graph a Linear Equation": 22 | |
| }, | |
| "Graphing Using Intercepts": { | |
| "Finding Intercepts by Substitution": 97, | |
| "Analyze Graphs of Linear Functions": 38 | |
| }, | |
| "Linear Function Graphs": { | |
| "Ohm's Law": 32, | |
| "Functions": 50, | |
| "Use Function Notation": 67, | |
| "Graph a Linear Function": 20 | |
| }, | |
| "Graphs Using Slope-Intercept Form": { | |
| "Interpret a Graph to Compare Rates of Change": 97, | |
| "Graph an Equation in Slope-Intercept Form": 100 | |
| } | |
| }, | |
| "Linear Inequalities": { | |
| "Solving Inequalities": { | |
| "Linear Extrapolation": 58, | |
| "Write and Graph Inequalities in One Variable on a Number Line": 58, | |
| "Solving Inequalities Using Multiplication and Division": 86, | |
| "Solving Inequalities Using Addition and Subtraction": 22 | |
| }, | |
| "Absolute Value Equations and Inequalities": { | |
| "Solve Absolute Value Inequalities": 67, | |
| "Solve an Absolute Value Equation": 88, | |
| "Rewrite and Solve Absolute Value Inequalities as Compound Inequalities": 74, | |
| "Analyze Solutions to Absolute Value Equations": 87, | |
| "Absolute Value Inequalities": 87, | |
| "Solve Compound Inequalities Using a Graphing Calculator (TI-83/84 family)": 85, | |
| "Graph Absolute Value Functions": 2 | |
| }, | |
| "Compound Inequalities": { | |
| "Solve a Compound Inequality With “and” or “or”": 37, | |
| "Identify the Number of Solutions of an Inequality": 1, | |
| "Write and Graph Compound Inequalities on a Number Line": 87 | |
| }, | |
| "Predicting with Linear Models": { | |
| "Perform Linear Regression With a Graphing Calculator": 80, | |
| "Linear Interpolation": 48 | |
| }, | |
| "Using Inequalities": { | |
| "Solving Multi-Step Inequalities": 32, | |
| "Expressing Solutions of an Inequality": 51 | |
| } | |
| }, | |
| "Equations and Functions": { | |
| "Problem-Solving Plan": { | |
| "Solve the Problem and Check the Results": 41, | |
| "Determine Whether a Relation is a Function": 91, | |
| "Read and Understand a Given Problem Situation": 51, | |
| "Make a Plan to Solve the Problem": 23 | |
| }, | |
| "Equations and Inequalities": { | |
| "Solve Problems Using Equations": 30, | |
| "Write Equations and Inequalities": 29, | |
| "Check Solutions to Equations": 29 | |
| }, | |
| "Functions as Graphs": { | |
| "Graph a Function From a Rule or Table": 27, | |
| "Write a Function Rule from a Graph": 25, | |
| "Represent a Real-World Situation with a Function": 50 | |
| }, | |
| "Patterns and Equations": { | |
| "Evaluate Algebraic Expressions with a TI-83/84 Family Graphing Calculator": 37, | |
| "Write an Equation": 25, | |
| "Use a Verbal Model to Write an Equation": 10 | |
| }, | |
| "Variable Expressions": { | |
| "Evaluate Algebraic Expressions": 63 | |
| }, | |
| "Order of Operations": { | |
| "Order of Operations": 21, | |
| "Evaluate Algebraic Expressions with Exponents": 95, | |
| "Evaluate Algebraic Expressions with Fraction Bars": 54, | |
| "Evaluate Algebraic Expressions with Grouping Symbols": 74 | |
| }, | |
| "Functions as Rules and Tables": { | |
| "Write a Function Rule": 70, | |
| "Identify the Domain and Range of a Function": 74, | |
| "Check Solutions to Inequalities": 87, | |
| "Make a Table For a Function": 88 | |
| } | |
| } | |
| }, | |
| "CAL": { | |
| "Derivatives": { | |
| "Derivatives of Trigonometric Functions": {}, | |
| "Tangent Lines and Rates of Change": { | |
| "The Tangent Line": 21 | |
| }, | |
| "The Chain Rule": {}, | |
| "The Derivative": { | |
| "Notation": 14, | |
| "Average Rates of Change": 92 | |
| }, | |
| "Techniques of Differentiation": { | |
| "Existence and Differentiability of a Function": 8 | |
| }, | |
| "Implicit Differentiation": {}, | |
| "Infinite Limits": {} | |
| }, | |
| "Integration Techniques": { | |
| "Integration by Substitution": { | |
| "Trigonometric Integrands": 31, | |
| "The Integration Formulas of the Inverse Trigonometric Functions": 50 | |
| }, | |
| "Trigonometric Integrals": { | |
| "General Description of the Method": 55, | |
| "Integrating Powers of Sines and Cosines": 5 | |
| }, | |
| "L’Hospital’s Rule": {}, | |
| "Integration By Parts": { | |
| "Using Substitution on Definite Integrals": 57, | |
| "Tabular Integration by Parts": 32, | |
| "Repeated Use of Integration by Parts": 43 | |
| }, | |
| "Improper Integrals": { | |
| "Integrating Powers of Secants and Tangents": 65, | |
| "Integrands with Infinite Discontinuities": 8, | |
| "Integration Over Infinite Limits": 27, | |
| "Homework": 63 | |
| }, | |
| "Trigonometric Substitutions": {}, | |
| "Integration by Partial Fractions": { | |
| "Solving for an Unknown Integral": 83 | |
| } | |
| }, | |
| "Integration": { | |
| "Integration by Substitution": {}, | |
| "The Initial Value Problem": {}, | |
| "The Area Problem": {}, | |
| "Approximation Errors": {}, | |
| "Indefinite Integrals Calculus": { | |
| "Newton’s Method": 95 | |
| }, | |
| "Definite Integrals": {}, | |
| "Evaluating Definite Integrals": {}, | |
| "The Fundamental Theorem of Calculus": {} | |
| }, | |
| "Applications of Definite Integrals": { | |
| "Area Between Two Curves": {}, | |
| "Numerical Integration": {}, | |
| "The Length of a Plane Curve": {}, | |
| "Volumes": { | |
| "Multimedia Link": 15, | |
| "The Volume Formula": 21, | |
| "Volumes of Solids of Revolution": 33 | |
| }, | |
| "Area of a Surface of Revolution": {} | |
| }, | |
| "Applications of Derivatives": { | |
| "Extrema and the Mean Value Theorem": {}, | |
| "Linearization and Newton’s Method": { | |
| "The Derivative of a Constant": 74, | |
| "Linearization: The Tangent Line Approximation": 7 | |
| }, | |
| "Limits at Infinity": {}, | |
| "The Second Derivative Test": {}, | |
| "Optimization": {}, | |
| "Analyzing the Graph of a Function": {}, | |
| "Related Rates": {}, | |
| "The First Derivative Test": {} | |
| }, | |
| "Transcendental Functions": { | |
| "Derivatives and Integrals Involving Inverse Trigonometric Functions": { | |
| "Applications of Growth and Decay": 1, | |
| "The Derivative Formulas of the Inverse Trigonometric Functions": 7 | |
| }, | |
| "Applications from Physics, Engineering, and Statistics": { | |
| "Fluid Statics: Pressure": 95, | |
| "Work": 85, | |
| "Volume By Cylindrical Shells": 57 | |
| }, | |
| "Exponential Growth and Decay": { | |
| "Integrals Involving Exponential Functions": 11 | |
| }, | |
| "Differentiation and Integration of Logarithmic and Exponential Functions": { | |
| "The Derivative of a Logarithmic Function": 60, | |
| "Derivatives of Exponential Functions": 12, | |
| "Continuity and Differentiability of Inverse Functions": 47, | |
| "Integrals Involving Natural Logarithmic Function": 83 | |
| }, | |
| "Exponential and Logarithmic Functions": {}, | |
| "Inverse Functions": { | |
| "Normal Probabilities": 2 | |
| } | |
| }, | |
| "Functions, Limits, and Continuity": { | |
| "Continuity": {}, | |
| "The Calculus": {}, | |
| "Evaluating Limits": {}, | |
| "Finding Limits": {}, | |
| "Relations and Functions": {}, | |
| "Equations and Graphs": {}, | |
| "Models and Data": {} | |
| } | |
| }, | |
| "GEO": { | |
| "Circles": { | |
| "Angles of Chords, Secants, and Tangents": {}, | |
| "Properties of Chords": { | |
| "Arc Addition Postulate": 73, | |
| "Congruent Chords & Congruent Arcs": 19 | |
| }, | |
| "Extension: Laws of Sines and Cosines": { | |
| "Law of Sines": 73, | |
| "Real-Life Situations": 28 | |
| }, | |
| "Properties of Arcs": { | |
| "Central Angles & Arcs": 5, | |
| "Tangent Segments": 52 | |
| }, | |
| "Segments of Chords, Secants, and Tangents": { | |
| "Inscribed Quadrilaterals": 86, | |
| "Segments from Secants": 76, | |
| "Segments from Chords": 36 | |
| }, | |
| "Parts of Circles & Tangent Lines": { | |
| "Coplanar Circles": 63, | |
| "Tangents and Radii": 25, | |
| "Law of Cosines": 60, | |
| "Tangent Lines": 26 | |
| }, | |
| "Inscribed Angles": { | |
| "Equidistant Congruent Chords": 8, | |
| "Inscribed Angles": 14 | |
| } | |
| }, | |
| "Similarity": { | |
| "Trapezoids and Kites": { | |
| "Midsegment of a Trapezoid": 62, | |
| "Trapezoids": 85, | |
| "Kites": 79, | |
| "Parallelograms in the Coordinate Plane": 78, | |
| "Isosceles Trapezoids": 4 | |
| }, | |
| "Similar Polygons": { | |
| "Similar Polygons": 85, | |
| "Properties of Proportions": 36 | |
| }, | |
| "Similarity by AA": { | |
| "Angles in Similar Triangles": 79, | |
| "Scale Factors": 24 | |
| }, | |
| "Similarity by SSS and SAS": { | |
| "SSS for Similar Triangles": 51, | |
| "Indirect Measurement": 10 | |
| }, | |
| "Similarity Transformations": { | |
| "Dilations": 87, | |
| "Proportions with Angle Bisectors": 66 | |
| }, | |
| "Proportionality Relationships": { | |
| "Triangle Proportionality": 15, | |
| "Parallel Lines and Transversals": 90, | |
| "SAS for Similar Triangles": 39 | |
| }, | |
| "Ratios and Proportions": { | |
| "Using Ratios": 40, | |
| "Kites and Trapezoids in the Coordinate Plane": 88, | |
| "Proportions": 55 | |
| } | |
| }, | |
| "Polygons and Quadrilaterals": { | |
| "Angles in Polygons": { | |
| "Interior Angles in Convex Polygons": 64, | |
| "Indirect Proofs in Geometry": 53 | |
| }, | |
| "Extension: Indirect Proof": { | |
| "Triangle Inequality Theorem": 52, | |
| "Indirect Proofs in Algebra": 67 | |
| }, | |
| "Properties of Parallelograms": { | |
| "What is a Parallelogram?": 98, | |
| "Exterior Angles in Convex Polygons": 79 | |
| }, | |
| "Rectangles, Rhombuses and Squares": { | |
| "Showing a Quadrilateral is a Parallelogram in the Coordinate Plane": 84, | |
| "Defining Special Parallelograms": 41, | |
| "Diagonals in Special Parallelograms": 3 | |
| }, | |
| "Proving Quadrilaterals are Parallelograms": { | |
| "Determining if a Quadrilateral is a Parallelogram": 32, | |
| "Diagonals in a Parallelogram": 3 | |
| } | |
| }, | |
| "Surface Area and Volume": { | |
| "Surface Area of Pyramids and Cones": { | |
| "Surface Area of a Right Cylinder": 5, | |
| "Surface Area of a Regular Pyramid": 30, | |
| "Parts of a Pyramid": 85 | |
| }, | |
| "Exploring Solids": { | |
| "Euler’s Theorem": 8, | |
| "Cross-Sections": 17, | |
| "Area of a Regular Polygon": 17, | |
| "Polyhedrons": 29, | |
| "Regular Polyhedra": 55 | |
| }, | |
| "Volume of Prisms and Cylinders": { | |
| "Cavalieri’s Principle": 74, | |
| "Volume of a Rectangular Prism": 45, | |
| "Volume of any Prism": 63, | |
| "Surface Area of a Cone": 78 | |
| }, | |
| "Area and Perimeter of Regular Polygons": { | |
| "Segments of a Circle": 80, | |
| "Perimeter of a Regular Polygon": 10 | |
| }, | |
| "Volume of Pyramids and Cones": { | |
| "Volume of a Cylinder": 58, | |
| "Volume of a Pyramid": 77 | |
| }, | |
| "Surface Area of Prisms and Cylinders": { | |
| "Cylinders": 60, | |
| "Parts of a Prism": 61, | |
| "Nets": 55, | |
| "Surface Area of a Prism": 17 | |
| }, | |
| "Surface Area and Volume of Spheres": { | |
| "Defining a Sphere": 18, | |
| "Volume of a Cone": 75, | |
| "Surface Area of a Sphere": 7 | |
| } | |
| }, | |
| "Parallel and Perpendicular Lines": { | |
| "Proving Lines Parallel": { | |
| "Converse of Alternate Exterior Angles & Consecutive Interior Angles": 75, | |
| "Same Side Interior Angles Theorem": 63, | |
| "Corresponding Angles Converse": 47, | |
| "Alternate Interior Angles Converse": 73 | |
| }, | |
| "Lines and Angles": { | |
| "Vertical Angles Theorem": 30, | |
| "Perpendicular Line Postulate": 69, | |
| "Defining Parallel and Skew": 100, | |
| "Parallel Line Postulate": 80 | |
| }, | |
| "Properties of Perpendicular Lines": { | |
| "Parallel Lines Property": 37, | |
| "Perpendicular Transversals": 74, | |
| "Congruent Linear Pairs": 62 | |
| }, | |
| "Properties of Parallel Lines": { | |
| "Angles and Transversals": 49, | |
| "Alternate Exterior Angles Theorem": 45, | |
| "Corresponding Angles Postulate": 20, | |
| "Alternate Interior Angles Theorem": 24 | |
| }, | |
| "Proofs about Angle Pairs and Segments": { | |
| "Naming Angles": 34, | |
| "Proof of the Same Angles Supplements Theorem": 41, | |
| "Two-Column Proof": 48, | |
| "Proof of the Right Angle Theorem": 66 | |
| }, | |
| "Parallel and Perpendicular Lines in the Coordinate Plane": { | |
| "Slope in the Coordinate Plane": 67, | |
| "Slopes of Parallel Lines": 91, | |
| "Adjacent Complementary Angles": 40, | |
| "Slopes of Perpendicular Lines": 75 | |
| } | |
| }, | |
| "Right Triangle Trigonometry": { | |
| "The Pythagorean Theorem": { | |
| "The Pythagorean Theorem": 65, | |
| "Pythagorean Triples": 22, | |
| "Area of an Isosceles Triangle": 56, | |
| "The Cantor Set": 53, | |
| "Another Proof of the Pythagorean Theorem": 9, | |
| "Using the Pythagorean Theorem": 42 | |
| }, | |
| "Inverse Trigonometric Ratios": { | |
| "Inverse Trigonometric Ratios": 20, | |
| "Solving Triangles": 63, | |
| "Angles of Depression and Elevation": 91 | |
| }, | |
| "Special Right Triangles": { | |
| "Isosceles Right Triangles": 35, | |
| "The Geometric Mean": 10 | |
| }, | |
| "Using Similar Right Triangles": { | |
| "Inscribed Similar Triangles": 88, | |
| "Identifying Acute and Obtuse Triangles": 91 | |
| }, | |
| "Tangent, Sine and Cosine": { | |
| "Finding the Sides of a Triangle using Trig Ratios": 91, | |
| "Sine, Cosine, and Tangent Ratios": 30, | |
| "What is Trigonometry?": 8, | |
| "Sine, Cosine, and Tangent with a Calculator": 35, | |
| "30-60-90 Triangles": 100 | |
| }, | |
| "Converse of the Pythagorean Theorem": { | |
| "The Distance Formula": 64, | |
| "Converse of the Pythagorean Theorem": 56 | |
| }, | |
| "Extension: Self-Similarity": { | |
| "Dilations in the Coordinate Plane": 7, | |
| "Fractals": 10, | |
| "Sierpinski Triangle": 32 | |
| } | |
| }, | |
| "Reasoning and Proof": { | |
| "Conditional Statements": { | |
| "If-Then Statements": 89, | |
| "Conjectures and Counterexamples": 92, | |
| "Converse, Inverse, and Contrapositive of a Conditional Statement": 95 | |
| }, | |
| "Algebraic and Congruence Properties": { | |
| "Properties of Equality": 38, | |
| "Using Properties of Equality with Equations": 20, | |
| "Truth Tables": 28, | |
| "Properties of Congruence": 78 | |
| }, | |
| "Deductive Reasoning": { | |
| "Deductive Reasoning": 28, | |
| "Law of Syllogism": 54, | |
| "Law of Contrapositive": 73, | |
| "Biconditional Statements": 93, | |
| "Law of Detachment": 54, | |
| "Inductive vs. Deductive Reasoning": 55 | |
| }, | |
| "Classifying Polygons": { | |
| "Vertical Angles": 70, | |
| "Convex and Concave Polygons": 8, | |
| "Classifying by Angles": 35, | |
| "Classifying by Sides": 48, | |
| "Polygons": 6, | |
| "Triangles": 11 | |
| }, | |
| "Inductive Reasoning": { | |
| "Visual Patterns": 58, | |
| "Classifying Polygons": 7, | |
| "Number Patterns": 96 | |
| } | |
| }, | |
| "Triangles and Congruence": { | |
| "The Distance Formula": { | |
| "The Distance Formula": 66, | |
| "Shortest Distance between a Point and a Line": 83, | |
| "Graphing Parallel and Perpendicular Lines": 22, | |
| "Shortest Distance between Two Parallel Lines": 59 | |
| }, | |
| "Triangle Sums": { | |
| "Exterior Angles": 45, | |
| "Perpendicular Bisectors in the Coordinate Plane": 59, | |
| "Triangle Sum Theorem": 100 | |
| }, | |
| "Triangle Congruence Using ASA, AAS, and HL": { | |
| "AAS Congruence": 41, | |
| "ASA Congruence": 95, | |
| "Hypotenuse-Leg Congruence Theorem": 17, | |
| "SSS in the Coordinate Plane": 96, | |
| "AAA and SSA Relationships": 19 | |
| }, | |
| "Triangle Congruence using SSS and SAS": { | |
| "SAS Triangle Congruence Postulate": 29, | |
| "SSS Postulate of Triangle Congruence": 90, | |
| "Congruence Properties": 97 | |
| }, | |
| "Congruent Figures": { | |
| "Exterior Angles Theorem": 57, | |
| "Creating Congruence Statements": 62, | |
| "The Third Angle Theorem": 7, | |
| "Congruent Triangles": 47 | |
| } | |
| }, | |
| "Basics of Geometry": { | |
| "Angle Pairs": { | |
| "Linear Pairs": 1, | |
| "Complementary Angles": 40, | |
| "Angle Bisectors": 55, | |
| "Supplementary Angles": 62 | |
| }, | |
| "Points, Lines, and Planes": { | |
| "Beyond the Basics": 6, | |
| "Building Blocks": 75 | |
| }, | |
| "Midpoints and Bisectors": { | |
| "Midpoint Formula": 23, | |
| "Congruence": 59, | |
| "Congruent Angles": 95, | |
| "Midpoints": 75, | |
| "Angle Addition Postulate": 74, | |
| "Segment Bisectors": 56 | |
| }, | |
| "Angles and Measurement": { | |
| "Classifying Angles": 69, | |
| "Marking Angles and Segments in a Diagram": 48, | |
| "Drawing an Angle": 36, | |
| "Distances on a Grid": 69, | |
| "Two Rays = One Angle": 94, | |
| "Protractor Postulate": 65 | |
| }, | |
| "Segments and Distance": { | |
| "Ruler Postulate": 67, | |
| "Segment Addition Postulate": 16, | |
| "Further Beyond": 73, | |
| "Measuring Distances": 15 | |
| } | |
| }, | |
| "Relationships with Triangles": { | |
| "Isosceles and Equilateral Triangles": { | |
| "Isosceles Triangle Properties": 29, | |
| "Triangle Congruence Recap": 17 | |
| }, | |
| "Midsegments of a Triangle": { | |
| "Defining Midsegment": 87, | |
| "Equilateral Triangles": 17 | |
| }, | |
| "Angle Bisectors in Triangles": { | |
| "Perpendicular Bisectors and Triangles": 52, | |
| "Angle Bisectors": 70 | |
| }, | |
| "Inequalities in Triangles": { | |
| "Comparing Angles and Sides": 82, | |
| "Altitudes": 60 | |
| }, | |
| "Medians and Altitudes in Triangles": { | |
| "Point of Concurrency for Medians": 78, | |
| "Medians": 97, | |
| "Angle Bisectors in a Triangle": 97 | |
| }, | |
| "Perpendicular Bisectors in Triangles": { | |
| "The Midsegment Theorem": 91, | |
| "Perpendicular Bisectors": 100 | |
| } | |
| }, | |
| "Perimeter and Area": { | |
| "Triangles and Parallelograms": { | |
| "Area Postulates": 94, | |
| "Area of a Parallelogram": 31, | |
| "Finding the Equation of a Circle": 44, | |
| "Areas and Perimeters of Squares and Rectangles": 44 | |
| }, | |
| "Circumference and Arc Length": { | |
| "Areas of Similar Polygons": 27, | |
| "Circumference of a Circle": 18 | |
| }, | |
| "Areas of Similar Polygons": { | |
| "Area of a Rhombus and Kite": 53 | |
| }, | |
| "Areas of Circles and Sectors": { | |
| "Area of a Circle": 50, | |
| "Arc Length": 10, | |
| "Area of a Sector": 4 | |
| }, | |
| "Extension: Writing and Graphing the Equations of Circles": { | |
| "Segments from Secants and Tangents": 81, | |
| "Graphing a Circle in the Coordinate Plane": 6 | |
| }, | |
| "Trapezoids, Rhombi, and Kites": { | |
| "Area of a Trapezoid": 10, | |
| "Area of a Triangle": 59 | |
| } | |
| } | |
| }, | |
| "APS": { | |
| "Non-Parametric Statistics": { | |
| "The Two-Way ANOVA Test": {}, | |
| "The Rank Sum Test and Rank Correlation": {} | |
| }, | |
| "Visualizations of Data": { | |
| "Common Graphs and Data Plots": { | |
| "Shape, Center, Spread": 58, | |
| "Categorical Variables: Bar Graphs and Pie Graphs": 13, | |
| "Displaying Univariate Data": 12 | |
| }, | |
| "Histograms and Frequency Distributions": { | |
| "Cumulative Frequency Histograms and Ogive Plots": 61, | |
| "Histograms": 74, | |
| "Relative Frequency Histogram": 8, | |
| "Frequency Tables": 51, | |
| "Frequency Polygons": 7 | |
| } | |
| }, | |
| "Planning and Conducting an Experiment or Study": { | |
| "Surveys and Sampling": { | |
| "The Characteristics of a Normal Distribution": 28, | |
| "Census vs. Sample": 73 | |
| }, | |
| "Applications of the Normal Distribution": {} | |
| }, | |
| "Regression and Correlation": { | |
| "Scatterplots and Linear Correlation": {}, | |
| "Testing a Hypothesis for Dependent and Independent Samples": {}, | |
| "Inferences about Regression": {}, | |
| "Least-Squares Regression": {} | |
| }, | |
| "Sampling Distributions and Estimations": { | |
| "The z-Score and the Central Limit Theorem": {}, | |
| "Sampling Distribution": {}, | |
| "Experimental Design": { | |
| "Reducing Bias": 78, | |
| "Part One: Multiple Choice": 7 | |
| } | |
| }, | |
| "Chi-Square": { | |
| "Multiple Regression": {}, | |
| "The Goodness-of-Fit Test": {}, | |
| "Test of Independence": {} | |
| }, | |
| "Normal Distribution": { | |
| "Geometric Probability Distribution": {}, | |
| "The Standard Normal Probability Distribution": { | |
| "Part Two: Open-Ended Questions": 9 | |
| }, | |
| "The Density Curve of the Normal Distribution": {} | |
| }, | |
| "Analysis of Variance and F-Distribution": { | |
| "The One-Way ANOVA Test": {}, | |
| "Testing One Variance": {}, | |
| "The F-Distribution and Testing Two Variances": {} | |
| }, | |
| "Hypothesis Testing": { | |
| "Hypothesis Testing and the P-Value": {}, | |
| "Testing a Mean Hypothesis": {}, | |
| "Student’s t-Distribution": {}, | |
| "Testing a Proportion Hypothesis": {}, | |
| "Confidence Intervals": {} | |
| }, | |
| "Discrete Probability Distribution": { | |
| "Two Types of Random Variables": {}, | |
| "Mean and Standard Deviation of Discrete Random Variables": {}, | |
| "Sums and Differences of Independent Random Variables": {}, | |
| "Probability Distribution for a Discrete Random Variable": {}, | |
| "Box-and-Whisker Plots": { | |
| "Part One: Questions": 22, | |
| "Displaying Bivariate Data": 40 | |
| }, | |
| "The Poisson Probability Distribution": {}, | |
| "The Binomial Probability Distribution": {} | |
| } | |
| } | |
| } | |
| } |
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I am new to d3... I really appreciate you sharing code. Where can I get http://mbostock.github.com/d3/d3.layout.js to download and host locally? When I download d3 I don't see the d3.layout.js file in the folder. Only d3.js. Thank you.