Mathematics G-10: Module 1

Overview of the module

Dear students, this module has 4 units namely: Relations and Functions, Polynomial functions, Exponential and Logarithmic Functions, Trigonometric functions, respectively. Each of the units is composed of introduction, objectives, lessons, key terms, and review exercises. Each unit is basically lesson based, and each lesson has four components: Brainstorming question, Definition, Examples, and exercises. The most important part in this process is to practice problems by yourself.

Competencies(MLC)

At the end of this module, you will be able to:

• Define relation, function, polynomial function, exponential and logarithmic function and reciprocals of basic trigonometric functions.
• Identify types of functions.
• Sketch graphs of various types of relations and functions and basic trigonometric functions.
• Perform the four fundamental operations on polynomials.
• Apply theorems on polynomial functions to solve related problems.
• Determine the rational and irrational zeros of polynomials.
• Apply the laws of exponents for real exponents.
• Solve mathematical problems involving exponents and logarithms.
• Solve some examples of real-life problems involving trigonometric equations.
• Conceptualize theorems on special triangles.

Module Content

1. Relations and Functions

2. Polynomial Functions

Lesson 5. Definition of Polynomial Function
Lesson 6. Theorem on polynomial functions
Lesson 7. Graphs of polynomial functions

3. Exponential and Logarithmic Functions

Lesson 8. Exponents and Logarithms
Lesson 9. The Exponential Functions and Their Graphs
Lesson 10. Solving Exponential and Logarithmic Equations

4. Trigonometric Functions

Lesson 11. Radian Measure of angle
Lesson 12. Basic Trigonometric Function
Lesson 13. Trigonometric Identities & Equation

Assessments

Assessment in this module may include:

• Mid Exam
• Quiz and test
• Final Exam

REFERENCES

• Mathematics Grade 11 Student Text Book Based On New Curriculum
• Extreme Mathematics For Grade 10-12
• Alpha Mathematics For Grade 10-12
• Galaxy Mathematics For Grade 10-12
• Internet Search