MATHEMATICS - Preparatory 2- Term 1

Klassenstufen:

Bildungssystem: National English

1. Master the properties and operations of real numbers including irrationals and roots, then apply this understanding to analyze linear relationships between variables with real-world applications.

Lernziele:

1. Calculate exact and approximate values of square/cube roots.

2. Classify numbers within the real number system hierarchy.

3. Perform operations with radicals following algebraic rules.

4. Solve equations and inequalities in ℝ using interval notation.

5. Model linear relationships between two variables graphically.

6. Determine and interpret slope in practical contexts.

7. Translate real-world situations into mathematical relationships.

Module

1. Unit One : Real Numbers

1. 1. Lesson One: The cube root of a rational number

Lernergebnisse:

1. Find the cube root of a rational number using factorization.

2. Find the cube root of a rational number using a calculator.

3. Solve equations that include finding the cube root.

4. Solve application problems involving the cube root of a rational number.

1. 2. Lesson Two: The set of irrational number Q'

Lernergebnisse:

1. Define the set of irrational numbers.

1. 3. Lesson Three: Finding the approximate value of an irrational number

Lernergebnisse:

1. Find the approximate value of an irrational number.

2. Represent an irrational number on the number line.

3. Solve equations in the set of irrational numbers (Q').

1. 4. Lesson Four: The set of real numbers R

Lernergebnisse:

1. Define the set of real numbers (R).

MATHEMATICS - Preparatory 2- Term 1

Klassenstufen:

Bildungssystem: National English

1. Master the properties and operations of real numbers including irrationals and roots, then apply this understanding to analyze linear relationships between variables with real-world applications.

Lernziele:

1. Calculate exact and approximate values of square/cube roots.

2. Classify numbers within the real number system hierarchy.

3. Perform operations with radicals following algebraic rules.

4. Solve equations and inequalities in ℝ using interval notation.

5. Model linear relationships between two variables graphically.

6. Determine and interpret slope in practical contexts.

7. Translate real-world situations into mathematical relationships.

Module

1. Unit One : Real Numbers

1. 1. Lesson One: The cube root of a rational number

Lernergebnisse:

1. Find the cube root of a rational number using factorization.

2. Find the cube root of a rational number using a calculator.

3. Solve equations that include finding the cube root.

4. Solve application problems involving the cube root of a rational number.

1. 2. Lesson Two: The set of irrational number Q'

Lernergebnisse:

1. Define the set of irrational numbers.

1. 3. Lesson Three: Finding the approximate value of an irrational number

Lernergebnisse:

1. Find the approximate value of an irrational number.

2. Represent an irrational number on the number line.

3. Solve equations in the set of irrational numbers (Q').

1. 4. Lesson Four: The set of real numbers R

Lernergebnisse:

1. Define the set of real numbers (R).

MATHEMATICS - Preparatory 2- Term 1

Klassenstufen:

Bildungssystem: National English

1. Master the properties and operations of real numbers including irrationals and roots, then apply this understanding to analyze linear relationships between variables with real-world applications.

Lernziele:

Module

1. Unit One : Real Numbers

1. 1. Lesson One: The cube root of a rational number

Lernergebnisse:

1. 2. Lesson Two: The set of irrational number Q'

Lernergebnisse:

1. 3. Lesson Three: Finding the approximate value of an irrational number

Lernergebnisse:

1. 4. Lesson Four: The set of real numbers R

Lernergebnisse:

MATHEMATICS - Preparatory 2- Term 1

Klassenstufen:

Bildungssystem: National English

1. Master the properties and operations of real numbers including irrationals and roots, then apply this understanding to analyze linear relationships between variables with real-world applications.

Lernziele:

Module

1. Unit One : Real Numbers

1. 1. Lesson One: The cube root of a rational number

Lernergebnisse:

1. 2. Lesson Two: The set of irrational number Q'

Lernergebnisse:

1. 3. Lesson Three: Finding the approximate value of an irrational number

Lernergebnisse:

1. 4. Lesson Four: The set of real numbers R

Lernergebnisse:

1. 5. Lesson Five: Ordering numbers at R

Lernergebnisse:

1. 6. Lesson Six: Intervals

Lernergebnisse:

1. 7. Lesson Seven: Operations on the real numbers

Lernergebnisse:

1. 8. Lesson Eight: Operations on the square roots

Lernergebnisse:

1. 9. Lesson Nine: Operations on the cube roots

Lernergebnisse:

1. 10. Lesson Ten: Applications on the real numbers

Lernergebnisse:

1. 11. Lesson eleven: Solving equations and inequalities of first degree in one variable in R

Lernergebnisse:

2. Unit Two : Relation between two Variables

2. 1. Lesson One: Linear relation of two variables

Lernergebnisse:

2. 2. Lesson Two: The Slope of aline and real - Life applications

Lernergebnisse:

2. Develop data analysis skills through statistical methods, explore geometric properties of triangles, and apply inequality principles to solve mathematical and real-world problems.

Lernziele:

Module

1. Unit Three : Statistics

1. 1. Lesson One: Collecting and organizing data

Lernergebnisse:

1. 2. Lesson Two: The Ascending and descending cumulative frequency table and their graphical representation

Lernergebnisse:

1. 3. Lesson three: Arithmetic Mean, Median and Mode

Lernergebnisse:

2. Unit Four: Geometry

2. 1. Lesson One : The medians of a triangle

Lernergebnisse:

2. 2. Lesson Two: The Isosceles Triangle

Lernergebnisse:

2. 3. Lesson Three : The Isosceles Triangle theorems

Lernergebnisse:

2. 4. Lesson Four : Corollaries of isosceles triangle theorems

Lernergebnisse:

3. Unit Five : Inequality

3. 1. Lesson One : Inequality

Lernergebnisse:

3. 2. Lesson Two: Comparing the measures of the angles of a triangle

Lernergebnisse:

3. 3. Lesson Three : Comparing the lengths of sides in a triangle

Lernergebnisse:

3. 4. Lesson Four : Triangle Inequality

Lernergebnisse: