Course Description
The program aims to equip students with advanced academic mathematical proficiency and higher-order thinking skills, preparing them for university environments and careers in mathematics-related fields such as economics, engineering, science, and technology.
The Grade 12 Mathematics program is built in alignment with the Common Core State Standards – High School, focusing on advanced topics including limits, derivatives, integrals, advanced functions, probability, statistics, and real-world applications. Students will develop calculus-based reasoning, advanced data analysis, and mathematical modeling skills at a university-ready level.
This course not only supports high achievement in standardized examinations (SAT, ACT, etc.) but also cultivates critical thinking, data interpretation, and academic reasoning—essential tools for success in higher education.
🔹 Learning Content
-
Limits and Continuity
Understand the concept of limits of functions and continuity at a point and over an interval—an essential foundation for studying calculus. -
Derivatives and Applications
Find derivatives and apply them to real-world problems such as optimization, velocity and acceleration, tangent lines, and rates of change. -
Integrals and Area Under Curves
Understand the meaning and computation of definite integrals, applying them to problems involving area, volume, total accumulated value, and physical or economic models. -
Advanced Functions and Inverses
Work with composite functions, inverse functions, inverse trigonometric functions, and graph transformations—developing advanced analytical thinking. -
Inferential Statistics and Probability
Introduction to hypothesis testing, confidence intervals, normal distribution, and probability of random variables—key skills for research and data science.
Lessons:
