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Advanced Math: 2 Algebra: 3 Craft and Structure: 2 Expression of Ideas: 1 Geometry: 1 Information and Ideas: 4 Ratios, Rates and Percentages: 1 Statistics: 1

Algebraic Manipulations: 2 Coordinate Geometry: 1 Counting and Probabilities: 1 Curve Sketching: 2 Differentiation: 1 Equations: 1 Exponentials and Logarithms: 1 Functions and Their Graphs: 2 Integration: 3 Plane Geometry: 3 Sequences and Series: 2 Trigonometric Equations: 1

Complex Numbers: 9 Factoring with Complex: 2 Factor Theorem: 2 Finding All Zeros: 10 Graphing to Solve Equations: 4 Polynomial Construction: 3 Polynomial Graph Transformation: 6 Polynomial Intersections: 1 Polynomial Reasoning: 1 Quadratic Application - Profit Maximization: 1 Quadratic Application - Projectile Motion: 1 Quadratic Function - Maximum/Minimum: 2 Quadratic Function - Standard Form: 4 Rational Function Asymptotes: 4 Rational Function Graphing: 6 Rational Zeros and Descartes' Rule: 2 Real Zeros and Graph: 8 Remainder Theorem: 3

Basis of Logic: 6 Coordinate Geometry: 3 Differentiation: 1 Exponentials and Logarithms: 2 Functions and Their Graphs: 1 Inequalities: 1 Integration: 2 Logic of Arguments: 2 Trigonometric Equations: 1 Trigonometric Functions: 1

Olympiad: 8

Basis of Logic: 2 Coordinate Geometry: 1 Curve Sketching: 1 Equations: 1 Inequalities: 1 Integration: 4 Logic of Arguments: 2 Mathematical Proofs: 1 Plane Geometry: 1 Polynomials: 1 Sequences and Series: 2 Statistics: 1 Trigonometric Functions: 2

Algebra: 4 Counting and Probability: 3 Geometry: 4 Number Theory: 4

Applications - Airplane Trajectory: 1 Applications - Area of a Balloon: 1 Applications - Area of a Ripple: 1 Applications - Inflating a Balloon: 1 Applications - Multiple Discounts: 2 Applications - Profit: 1 Applications - Revenue: 1 Composition evaluation: 4 Composition formula: 2 Composition from graphs: 6 Concepts - Combining functions from graph: 1 Concepts - Composition algebra: 1 Concepts - Composition definition: 1 Concepts - Composition rules: 1 Discovery - Composing Linear Functions: 1 Discovery - Compound Interest: 1 Discovery - Odd and Even Compositions: 1 Discovery - Solving for Unknown Function: 1 Domain: 4 Express as composition: 6 Express as triple composition: 4 Find compositions: 12 Graph addition with formula: 4 Graphical addition: 2 Sum, difference, product, quotient: 6 Triple composition: 4

Olympiad: 20

모의고사: 8

All Trigonometric Function Values: 8 Application - Angle of Elevation of a Rainbow: 1 Application - Beehive Wax Optimization: 1 Application - Height of a Rocket: 1 Application - Rain Gutter: 1 Application - Shot Put Trajectory: 1 Application - Sledding Down an Incline: 1 Application - Strength of a Beam: 1 Application - Turning a Corner with a Pipe: 1 Application - Wooden Beam: 1 Area of a Triangle: 3 Area of Shaded Region: 2 Concept - Signs of Trigonometric Functions: 1 Concept - Trigonometric Function Definitions: 1 Discovery - Viète's Trigonometric Diagram: 1 Discussion - Calculator Mode Error: 1 Exact Values: 24 Example - Evaluating a Trigonometric Function: 1 Example - Evaluating Trigonometric Functions: 1 Example - Expressing One Trigonometric Function in Terms of Another: 1 Example - Finding Reference Angles: 1 Example - Finding the Area of a Triangle: 1 Example - Finding Trigonometric Functions of Angles: 1 Example - Using the Reference Angle to Evaluate Trigonometric Functions: 2 Express in Terms of Another Function: 6 Find the Quadrant: 4 Function Notation Pitfalls: 1 Inverse Application of Area Formula: 2 Pythagorean Identity Proof: 2 Reference Angles: 8

모의고사: 8

Coordinate Geometry: 1 Counting and Probabilities: 1 Equations: 3 Exponentials and Logarithms: 5 Functions and Their Graphs: 1 Inequalities: 1 Integration: 1 Polynomials: 3 Sequences and Series: 1 Solid Figures: 1 Trigonometric Equations: 2

Algebra: 11 Counting and Probability: 1 Geometry: 8 Number Theory: 4 UKMT Challenge: 1

Algebra: 7 Competition Math: 3 Counting and Probability: 6 Geometry: 6 Number Theory: 3

Algebra: 3 Counting and Probability: 4 Geometry: 5 Number Theory: 3

Algebraic Manipulations: 1 Basis of Logic: 5 Coordinate Geometry: 1 Counting and Probabilities: 1 Differentiation: 1 Exponentials and Logarithms: 1 Functions and Their Graphs: 1 Inequalities: 2 Integration: 1 Logic of Arguments: 2 Plane Geometry: 2 Polynomials: 1 Trigonometric Functions: 1

Algebra: 5 Counting and Probability: 8 Geometry: 6 Number Theory: 6

Algebra: 2 Counting and Probability: 7 Geometry: 7 Number Theory: 9

Basis of Logic: 2 Curve Sketching: 3 Differentiation: 1 Equations: 1 Inequalities: 1 Integration: 2 Logic of Arguments: 2 Mathematical Proofs: 1 Plane Geometry: 3 Sequences and Series: 2 Solid Figures: 1 Trigonometric Equations: 1