MODULE DESCRIPTION
Dear Grade 9 students !
As you embark on this new stage, you will encounter fresh knowledge and experiences that will enrich your academic, personal, and social development in the field of Mathematics. Embrace this period with enthusiasm and curiosity, as it lays the foundation for your future success.
Enjoy this transformative journey and make the most of the valuable learning experiences that lie ahead. Best wishes for a fulfilling and rewarding academic year ahead!
This module provides an in-depth exploration of fundamental mathematical concepts, focusing on sets, the number system, equations, and inequalities. Each unit is designed to build foundational knowledge, enhance problem-solving skills, and illustrate real-world applications. The online learning incorporates key design principles for effective activities, assessments, and interactions seen in traditional learning settings, it is important to acknowledge the distinct teaching and learning conditions unique to the environment. The dynamics among teachers course materials and students in online classes are shaped by factors like geographical and social separations, different types of educational tools and various cognitive, emotional obstacles and opportunities.
MODULE LEARNING OUT-COME/ OBJECTIVES
Dear learners!
At the end of the module, you should be able to:
- Describe the fundamental concepts and properties of sets.
- Utilize the principles and guidelines of set theory in real-world scenarios.
- Differentiate between rational and irrational numbers within the set of real numbers.
- Engage in mathematical problems that involve operations with real numbers successfully.
- Utilize various methods to solve systems of linear equations with two variables effectively.
- Solve equations that include absolute value, quadratic equations, exponents, and radicals successfully.
- Utilize equations to solve practical, real-life problems and scenarios.
- Solve linear inequalities with one variable successfully.
- Solve inequalities that include absolute value expressions effectively.
- Solve systems of linear inequalities to find feasible solutions successfully.
- Solve quadratic inequalities to determine the solution set effectively.
- Utilize inequalities to address real-world situations and problems effectively
MODULE CONTENTS
UNIT ONE: FURTHER ON SETS
Lesson 1: Sets, Elements and description of sets
Lesson 2: The Notion of Sets
Lesson 3: Operations on Sets
Lesson 4: Application
UNIT TWO: THE NUMBER SYSTEM
Lesson 1: Revision on Natural Numbers and Integers
Lesson 2: Rational Numbers
Lesson 3: Irrational Numbers
Lesson 4: Real Numbers and Applications
UNIT THREE: SOLVING EQUATIONS
Lesson 1: Revision on Linear Equation in One Variable
Lesson 2: Systems of Linear Equations in Two Variables
Lesson 3: Solving Non-linear Equations
Lesson 4: Applications of Equations
UNIT FOUR: SOLVING INQUALITIES
Lesson 1: Revision on Linear Inequalities in One Variable
Lesson 2: Systems of Linear Inequalities in Two Variables
Lesson 3: Inequalities Involving Absolute Value
Lesson 4: Quadratic Inequalities and Applications