MATHEMATICS - Preparatory 2- Term 1

Grade Levels:

Educational System: 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.

Learning Targets:

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.

Modules

1. Unit One : Real Numbers

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

Learning Outcomes:

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'

Learning Outcomes:

1. Define the set of irrational numbers.

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

Learning Outcomes:

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

Learning Outcomes:

MATHEMATICS - Preparatory 2- Term 1

Grade Levels:

Educational System: 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.

Learning Targets:

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.

Modules

1. Unit One : Real Numbers

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

Learning Outcomes:

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'

Learning Outcomes:

1. Define the set of irrational numbers.

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

Learning Outcomes:

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').

MATHEMATICS - Preparatory 2- Term 1

Grade Levels:

Educational System: 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.

Learning Targets:

Modules

1. Unit One : Real Numbers

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

Learning Outcomes:

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

Learning Outcomes:

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

Learning Outcomes:

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

Learning Outcomes:

MATHEMATICS - Preparatory 2- Term 1

Grade Levels:

Educational System: 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.

Learning Targets:

Modules

1. Unit One : Real Numbers

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

Learning Outcomes:

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

Learning Outcomes:

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

Learning Outcomes:

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

Learning Outcomes:

1. 5. Lesson Five: Ordering numbers at R

Learning Outcomes:

1. 6. Lesson Six: Intervals

Learning Outcomes:

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

Learning Outcomes:

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

Learning Outcomes:

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

Learning Outcomes:

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

Learning Outcomes:

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

Learning Outcomes:

2. Unit Two : Relation between two Variables

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

Learning Outcomes:

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

Learning Outcomes:

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

Learning Targets:

Modules

1. Unit Three : Statistics

1. 1. Lesson One: Collecting and organizing data

Learning Outcomes:

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

Learning Outcomes:

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

Learning Outcomes:

2. Unit Four: Geometry

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

Learning Outcomes:

2. 2. Lesson Two: The Isosceles Triangle

Learning Outcomes:

2. 3. Lesson Three : The Isosceles Triangle theorems

Learning Outcomes:

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

Learning Outcomes:

3. Unit Five : Inequality

3. 1. Lesson One : Inequality

Learning Outcomes:

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

Learning Outcomes:

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

Learning Outcomes:

3. 4. Lesson Four : Triangle Inequality

Learning Outcomes: