This comprehensive Grade 10 math course equips students with the skills to analyze, model, and solve complex mathematical problems. It includes a deep dive into linear, quadratic, exponential, and trigonometric functions, as well as systems of equations, transformations, and financial literacy. Students engage in hands-on learning through real-world word problems, graphing activities, and technology-based practice using graphing tools or calculators.
Introduction to Functions
Patterns, Relations, and Functions
Domain, Range, and Function Notation
Linear and Piecewise Functions
Transformations of Functions
Function Operations
Equivalent Algebraic Expressions
Simplifying Expressions & Factoring
Solving Linear Equations and Inequalities
Solving Rational and Absolute Value Equations
Modeling with Linear Equations
Quadratic Functions
Forms of Quadratic Functions (Standard, Vertex, Factored)
Solving Quadratics: Factoring, Completing the Square, Quadratic Formula
Graphing Quadratics
Applications and Word Problems
Exponential Functions
Exponential Growth and Decay
Comparing Linear and Exponential Models
Solving Exponential Equations
Properties of Exponents
Trigonometric Ratios
Sine, Cosine, Tangent
Solving Right Triangles
Applying Trigonometry to Real-Life Problems
Inverse Trig and Word Applications
Sinusoidal Functions
Graphing Sine and Cosine Functions
Amplitude, Period, Phase Shift
Applications in Waves and Periodic Motion
Discrete Functions
Sequences and Series
Arithmetic and Geometric Sequences
Summation Notation
Recursive Formulas
Financial Applications
Understanding Simple and Compound Interest
Annuities, Loans, and Credit
Future and Present Value
Budgeting and Real-World Financial Literacy
"Highly experienced Math and Physics teacher with over 21 years of expertise in delivering complex concepts in a clear, concise manner. Key Strengths: - Simplified teaching approach for easy understanding - Integration of modern technology: PowerPoint presentations, educational videos, and simulations - Comprehensive experience with various curricula (IBDP, IGCSE, AS/A Levels, AP, etc.) - Strong knowledge of exam writing skills and techniques for each curriculum
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