Mathematics- First Year Secondary- First term
Niveaux scolaires:
Système éducatif: National English
1. Mastery of algebraic concepts including quadratic equations and complex numbers, and geometric concepts of similarity with applications in polygons and circles
Objectifs d'apprentissage:
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
Modules
1. Unit One: Algebra, Relations and Functions
1. 1. 1-1 Introduction in Complex Numbers
Résultats d'apprentissage:
1. Understand the concept of the imaginary number.
2. Calculate integer powers of i.
3. Understand the concept of the complex number.
4. Determine the equality of two complex numbers.
5. Perform operations on complex numbers.
1. 2. 1-2 Determining the Types of the Two Roots of a Quadratic Equation
Résultats d'apprentissage:
1. Determine the type of the two roots of a quadratic equation.
1. 3. 1-3 The Relation Between the Two Roots of the Second Degree Equation and the Coefficients of its Terms
Résultats d'apprentissage:
1. Find the sum of the two roots of a given quadratic equation.
2. Find the product of the two roots of a quadratic equation.
3. Construct a quadratic equation in terms of another quadratic equation.