This course prepares students in Grade 9 and above for the rigor of calculus by reinforcing core algebraic concepts and introducing advanced mathematical functions, trigonometry, coordinate geometry, and analytical tools. Students develop critical thinking and problem-solving skills through a systematic approach to topics such as logarithmic and exponential functions, polynomials, conics, and trigonometric identities. With guided practice, real-world applications, and exam-style problem sets, this course supports academic excellence and college readiness.

Key Benefits:

· Reinforces algebraic fluency while introducing higher-order math

· Bridges high school math with calculus and STEM coursework

· Includes function transformations, trigonometry, and conics

· Ideal preparation for AP Calculus, SAT Math, and university entrance exams

· Builds conceptual clarity, speed, and accuracy with structured practice

What You’ll Learn:
Functions & Equations

· Types of functions: linear, quadratic, absolute value, polynomial

· Function transformations and graphing

· Inverse and composite functions

· Solving systems of equations algebraically and graphically

Exponential & Logarithmic Functions

· Properties of exponents and logarithms

· Graphing and solving exponential and log equations

· Applications in finance, growth, and decay

Trigonometry Essentials

· Unit circle, angles in radians and degrees

· Trigonometric ratios and identities

· Graphing sine, cosine, and tangent functions

· Solving trig equations and proving identities

Geometry & Conics

· Circles, ellipses, parabolas, and hyperbolas

· Deriving and graphing equations of conic sections

· Focus-directrix relationships and reflective properties

Sequences, Series & Vectors

· Arithmetic and geometric sequences

· Series and sigma notation

· Introduction to vectors and their applications

Limits & Introduction to Calculus (Optional Preview)

· Understanding limits and continuity

· Introductory concepts of derivatives

· Real-life calculus applications (optional enrichment)