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)