Mathematics- First Year Secondary- First term
Klassenstufen:
Bildungssystem: National English
1. Mastery of algebraic concepts including quadratic equations and complex numbers, and geometric concepts of similarity with applications in polygons and circles
Lernziele:
1. Analyze quadratic equations: sum/product of roots, coefficients, discriminant, and root types
2. Form quadratic equations from given conditions and analyze function signs
3. Perform operations with complex numbers (algebraic form, powers of i, equality)
4. Solve quadratic inequalities in one variable
5. Apply similarity theorems to polygons and triangles (corresponding sides/angles)
6. Calculate area ratios of similar polygons and triangles
7. Apply circle theorems involving chords, secants, and tangents
8. Relate similarity ratios to perimeters and areas of geometric figures
2. Mastering geometric theorems on parallelism and proportionality, angle bisectors, and circle properties, along with comprehensive trigonometric concepts including angle measurement, functions, and equations
Lernziele:
1. Apply triangle proportionality theorem (parallel lines dividing sides proportionally)
2. Utilize Tales' theorem for parallel lines and transversals
3. Apply angle bisector theorems (interior/exterior) in triangles
4. Calculate power of a point relative to circles (secants/tangents)
5. Determine angle measures from intersecting chords and tangents
6. Convert between degree and radian angle measurements
7. Evaluate trigonometric functions in all quadrants
8. Apply related angle identities (180°±θ, 90°±θ, etc.)
9. Solve trigonometric equations (sin(ax)=cos(bx), tan(ax)=cot(bx), etc.)
10. Graph sine/cosine functions and analyze their properties
11. Model real-world phenomena using trigonometric functions