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