Math Grade 9: Semester 1

DESCRIPTION

Dear learner!

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.

Competency

Dear learner!

At the end of the module, you should be able to:

• Understand and apply the fundamental concepts and properties of sets in mathematical and real-world contexts.
• Analyze and classify real numbers by distinguishing between rational and irrational numbers.
• Perform operations with real numbers accurately and solve related mathematical problems.
• Solve systems of linear equations and inequalities using various methods to find feasible solutions.
• Solve complex equations, including absolute value, quadratic, exponential, and radical equations, with precision.
• Apply quadratic and linear inequalities to determine solution sets and address real-life scenarios effectively.
• Use mathematical models and equations to solve practical problems across various real-world applications.

CONTENTS

1. 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

2. THE NUMBER SYSTEM

Lesson 5: Revision on Natural Numbers and Integers

Lesson 6: Rational Numbers

Lesson 7: Irrational Numbers

Lesson 8: Real Numbers and Applications

3. SOLVING EQUATIONS

Lesson 9: Revision on Linear Equation in One Variable

Lesson 10: Systems of Linear Equations in Two Variables

Lesson 11: Solving Non-linear Equations

Lesson 12: Applications of Equations

4. SOLVING INQUALITIES

Lesson 13: Revision on Linear Inequalities in One Variable

Lesson 14`: Systems of Linear Inequalities in Two Variables

Lesson 15: Inequalities Involving Absolute Value

Lesson 16: Quadratic Inequalities and Applications

Assessment

Assessment in this module may include:

• Quiz and test
• Mid Exam  
• Final Exam

REFERENCES

• Mathematics Grade 11 Student Text Book Based On New Curriculum
• Extreme Mathematics For Grade 9-12
• Alpha Mathematics For Grade 9-12
• Galaxy Mathematics For Grade 9-12
• Internet Search