Lernziele:

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.

Module

Lernziele:

1. Calculate probabilities of simple events and express them numerically.

2. Prove area equality theorems for parallelograms and triangles.

3. Apply area formulas to composite geometric figures.

4. Use similarity criteria (AA, SAS, SSS) to solve geometric problems.

5. Apply Euclidean theorems and projections in right-angled triangles.

6. Classify triangles based on angle measures using Pythagorean relationships.

7. Solve real-world problems involving area optimization and proportional reasoning.

Module