Grade 12 Mathematics Syllabus1. Grade 12 Polynomial Equations and Inequalities- Introduction to polynomial equations and inequalities
- Solving polynomial equations algebraically and graphically
- Factoring and the fundamental theorem of algebra
- Complex numbers and their applications in polynomial equations
- Rational and irrational roots of polynomial equations
- Solving polynomial inequalities
2. Grade 12 Rational Functions- Introduction to rational functions
- Simplifying and graphing rational functions
- Vertical and horizontal asymptotes
- Solving rational equations
- Applications of rational functions in real-life situations
3. Grade 12 Trigonometric Functions and Equations- Trigonometric functions and their properties
- Graphs of trigonometric functions
- Solving trigonometric equations and identities
- Applications of trigonometry in real-world problems
4. Grade 12 Exponential and Logarithmic Functions- Exponential functions and their properties
- Logarithmic functions and their properties
- Graphing exponential and logarithmic functions
- Solving exponential and logarithmic equations
- Applications of exponential and logarithmic functions
5. Grade 12 Limits- Introduction to limits
- Evaluating limits algebraically and graphically
- One-sided limits and continuity
- Infinite limits and limits at infinity
- Applications of limits in calculus
6. Grade 12 Derivatives and Their Applications- Introduction to derivatives
- Basic rules of differentiation
- Derivatives of polynomial, exponential, logarithmic, and trigonometric functions
- Applications of derivatives in optimization and related rates problems
7. Grade 12 Vectors- Introduction to vectors
- Vector operations (addition, subtraction, scalar multiplication)
- Dot product and its applications
- Cross product and its applications
- Vector equations of lines and planes
8. Grade 12 Equations of Lines and Planes- Equations of lines in two and three dimensions
- Parallel and perpendicular lines
- Equations of planes in three dimensions
- Intersection of lines and planes
- Applications of lines and planes in geometry and physics
9. Grade 12 Points, Lines, and Planes- Distance and midpoint formulas
- Collinearity and coplanarity
- Angle between lines and planes
- Intersection of lines and planes
- Applications of points, lines, and planes in coordinate geometry
10. Grade 12 Statistics- Descriptive statistics (mean, median, mode, range)
- Measures of dispersion (variance, standard deviation)
- Probability distributions
- Sampling and sampling distributions
- Hypothesis testing and confidence intervals
11. Grade 12 Permutations and Counting- Permutations and combinations
- Factorials and binomial coefficients
- Counting principles (multiplication rule, addition rule)
- Probability and counting
12. Grade 12 Probability- Basic probability concepts
- Probability of compound events
- Conditional probability and independence
- Probability trees and Venn diagrams
- Applications of probability in real-life situations
13. Grade 12 Probability Distribution- Discrete probability distributions
- Binomial and geometric distributions
- Continuous probability distributions
- Normal distribution and its applications
- Central limit theorem
14. Grade 12 Normal Distribution- Properties of normal distribution
- Standard normal distribution
- Z-scores and percentiles
- Applications of normal distribution in statistics and probability
- Central limit theorem and its implications
This course is helpful for the following exams: Grade 12