MATHEMATICS - Preparatory 2- Term 2
Grade Levels:
Educational System: National English

1. Master algebraic factorization techniques and understand the properties of integer exponents to solve quadratic equations and simplify exponential expressions.
Learning Targets:
1. Apply appropriate factorization methods (grouping, special products) to polynomials.
2. Solve quadratic equations through factorization and completing the square.
3. Simplify expressions using exponent rules (product, quotient, power of powers).
4. Convert between negative and positive exponents using reciprocal relationships.
5. Solve real-world problems involving exponential growth/decay models.
6. Verify solutions by expanding factored forms and checking exponent calculations.
Modules
1. Unit One: Factorization
1. 1. Lesson One: Factorizing Trinomials
Learning Outcomes:
1. The meaning of factorizing an algebraic expression
2. Factorizing a trinomial
1. 2. Lesson Two: Factorizing the Perfect-Square Trinomials
Learning Outcomes:
1. To factorize perfect-square trinomials
1. 3. Lesson three: Factorizing the Difference of two Squares
Learning Outcomes:
1. To factorize the difference of two squares
1. 4. Lesson Four: Factorizing the Sum and Difference of two Cubes
Learning Outcomes:
1. To factorize the sum of two cubes
2. To factorize the difference between two cubes
