Course Description
The program aims to help students develop advanced algebraic thinking, proficiency in function analysis, and the ability to model real-world phenomena—preparing them for academic competitions and deeper study in the final years of high school.
The Grade 10 Mathematics program is designed in alignment with the Common Core State Standards (CCSS), focusing on advancing from computational skills to higher-level mathematical reasoning. This is a pivotal stage where students are introduced to nonlinear functions, complex algebraic expressions, and modern concepts in trigonometry, geometry, and statistics. Students will learn to apply mathematics to real-world problems and prepare for more specialized fields such as Pre-Calculus, Trigonometry, and Data Science.
🔹 Learning Content
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Quadratic and Polynomial Functions
In-depth study of quadratic and polynomial functions, including graphs, roots, extrema, and applications in modeling motion and optimization problems. -
Factoring and Algebraic Manipulation
Practice manipulating complex algebraic expressions: factoring polynomials, simplifying expressions, and solving equations/systems of equations using a variety of flexible techniques. -
Rational and Radical Expressions
Work with rational and radical expressions: understanding domain restrictions, simplifying, and solving equations and inequalities involving radicals or denominators. -
Introduction to Trigonometry
Introduction to trigonometric ratios in right triangles—sine, cosine, and tangent—and their applications in measurement, design, engineering, and spatial problem-solving. -
Function Analysis and Graphing
Analyze function graphs to determine domain and range, intercepts, intervals of increase/decrease, extrema, and apply these concepts to solve real-world problems. -
Statistical Reasoning
Introduction to discrete probability, data distributions, standard deviation, graphical representations, and statistical techniques for interpreting and analyzing data.
Lessons:
