Math Grade 11: Semester 1

DESCRIPTION 

Dear Learner,

in this module, you will have an opportunity to familiarize  yourself with the basic concepts of grade 11 Mathematics. The module is organized into two modules. The first module introduces you the fundamental concepts of relations, functions and matrices  including its definition and functional values. In the second module, you will learn about vectors, transformations of the plane, statistics and probability. The concepts in each unit are discussed systematically and sequentially. In addition, illustrative examples are given so that you can easily understand the concepts presented. while online learning by itself shares many of the fundamental design principles of effective activities, assessments, and interactions used in other learning contexts, it is worth considering the unique set of teaching and learning conditions that the online environment generates. I advise you to work on all these questions as the concepts require repeated exercise to master them.

Competency

Dear Learner,

By the end of this module, you should be able to;

• Demonstrate understanding and identification of relations and functions, including their properties and differences.
• Determine and verify the inverse of given relations and functions, and graphically represent inverse functions.
• Classify and differentiate types of functions, and perform accurate compositions of functions.
• Simplify rational expressions effectively using established methods and demonstrate understanding of rational functions and their properties.
• Develop and apply strategies for solving rational equations and inequalities, while recognizing their relevance in real-life applications.
• Exhibit proficiency in the fundamental concepts and operations related to matrices, including defining, classifying, and differentiating types of matrices, as well as calculating the inverse of invertible matrices.
• Solve systems of linear equations using various methods, including elementary row operations and Cramer’s rule, and apply the concept of determinants to real-world problem-solving.

ACTIVITIES IN THIS MODULE 

The module activities are designed to help you elaborate basic terms in this unit, a quire the necessary skill and understanding of each content, and solve similar questions given in the lesson. For ease of use, clicking the provided links will allow you to jump directly to the location of the course where the activity is located.

CONTENTS

1: Relations and Functions

Lesson 1: Relations

Lesson 2: Inverse of relations and their graph

Lesson 3: Type of functions

Lesson 4: Composition of functions and their Inverse, Application of relations

2: Rational Expressions & Functions

Lesson 5: Rational expressions

Lesson 6: Rational equations and rational inequalities

Lesson 7: Rational equations and Their graphs and Applications

3: Matrices

Lesson 8: Concept of a Matrix and the Basic Operations

Lesson 9: Special matrices and Elementary row Operations of matrices

Lesson 10: System of Linear equations with two or three variables and their solutions

Lesson 11: Inverse of a square Matrix and Applications

4: Determinants of Matrices

Lesson 12: Determinants  of  Matrices of Order 2 and 3

Lesson 13: Properties of Determinants

Lesson 14: Inverse of square matrices, Solutions of system of linear equations and applications

ASSESSMENT  

• Quizzes, Tests and assignments
• Mid-term exam
• Final exam

REFERENCES

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