Grade 12 high school mathematics

Polynomial and Rational Functions (10hrs)

1. Introduction to polynomial functions (2hrs)
2. Zeros of polynomial functions (2hrs)
3. The fundamental theorem of algebra (1hr)
4. Rational functions and their graphs (3hrs)
5. Review and tests (2hrs)

Trigonometric Identities and Equations (13hrs)

1. Verification of trigonometric identities (1hr)
2. Sum, difference, and co function identities (2hrs)
3. Double- and half-angle identities (2hrs)
4. Identities involving the sum of trigonometric functions (2hrs)
5. Inverse trigonometric functions (2hrs)
6. Trigonometric equations (2hrs)
7. Review and tests (2hrs)

Vectors (6hrs)

1. Vector quantities, unit vectors, vectors in a coordinate plane (1hr)
2. Dot product, scalar projection (1hr)
3. Parallel and perpendicular vectors (1hr)
4. Trigonometric form of complex numbers (2hrs)
5. Review and tests (1hr)

Systems of Equations (11hrs)

1. System of linear equations in two variables (2hrs)
2. System of linear equations in more than two variables (2hrs)
3. Gaussian elimination method (2hrs)
4. Nonlinear system of equations (1hr)
5. Inequalities in two variables and system inequalities (2hrs)
6. Review and tests (2hrs)