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
Lesson 1. Relations
Lesson 2. Functions
Lesson 3. Classification of functions
Lesson 4, Applications of 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
- All assessments consist of automatically graded multiple-choice questions with explanatory feedback. Each question offers four answer choices, marked by small square checkboxes. While the options may not always be labeled A, B, C, or D, you can interpret the checkboxes in that order.
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
Curriculum
- 4 Sections
- 36 Lessons
- 365 Days
Expand all sectionsCollapse all sections
- Unit 1: Relation and functionDear students, In our daily life, we come across many patterns that characterize relations with brothers and sisters, mother and daughters, father and sons, teachers and students etc. In mathematics also, we come across many relations such as number 𝑚 is greater than number 𝑛; line 𝑛 is perpendicular to line 𝑚 etc.24
- 1.1Lesson 1: Relation30 Minutes
- 1.2Activity 1: on Relation15 Minutes5 Questions
- 1.3Summary: Relation10 Minutes
- 1.4Gamified Activity
- 1.5Lesson 1: Test15 Minutes5 Questions
- 1.6Offline Resources 1
- 1.7Lesson 2: The notion of function30 Minutes
- 1.8Activity 2: on The notion of function15 Minutes5 Questions
- 1.9Summary: on the notion of function10 Minutes
- 1.10Gamified Activity
- 1.11Lesson 2: Test15 Minutes5 Questions
- 1.12Offline Resources 2
- 1.13Lesson 3: Classification of Functions30 Minutes
- 1.14Activity 3: on Classification of Functions15 Minutes5 Questions
- 1.15Summary on Classification of Functions5 Minutes
- 1.16Gamified Activity
- 1.17Lesson 3: Test15 Minutes5 Questions
- 1.18Offline Resources 3
- 1.19Lesson 4: Application30 Minutes
- 1.20Activity 4: Application10 Minutes5 Questions
- 1.21Summary: Application10 Minutes
- 1.22Gamified Activity
- 1.23Lesson 4: Test15 Minutes5 Questions
- 1.24Offline Resources 4
- Unit 2: POLYNOMIAL FUNCTIONSDear students, in unit one of this module, you saw functions of the form 𝑦 = 𝑏, 𝑦=𝑎𝑥 + 𝑏 and 𝑎𝑥2 + 𝑏𝑥 + 𝑐. These functions are parts of a large class of functions called polynomial functions. Polynomial functions are functions that involve only one variable x, consisting of the sum of several terms; each term is a product of two factors; the first being a real number coefficient (constant) and the second being x (variable) raised to some non-negative integer power. In this unit, you will be looking at the different components of polynomial functions like degree, leading coefficient, zeros of a polynomial function, theorems on polynomial functions and properties of graphs of polynomial function.16
- 2.1Lesson 5: Polynomial Functions30 Minutes
- 2.2Activity 5: Polynomial Functions15 Minutes5 Questions
- 2.3Summary: Polynomial Functions
- 2.4Gamified Activity
- 2.5Lesson 5: Test15 Minutes5 Questions
- 2.6Offline Resource 5
- 2.7Lesson 6: Theorems on Polynomials30 Minutes
- 2.8Activity 6.1 : Theorems on Polynomials15 Minutes5 Questions
- 2.9Summary: Theorems on Polynomials10 Minutes
- 2.10Lesson 6: Test:15 Minutes5 Questions
- 2.11Offline Resource: 6
- 2.12Lesson 7: on Graphs of Polynomial Functions30 Minutes
- 2.13Lesson 7: Activity 1: Graphs of Polynomial Functions10 Minutes5 Questions
- 2.14Summary: Graphs of Polynomial Functions5 Minutes
- 2.15Lesson 7: Test15 Minutes5 Questions
- 2.16Downloadable offline Resource: Graphs of Polynomial Functions
- Unit 3: EXPONENTIAL AND LOGARITHMIC FUNCTIONSWelcome to the two most important functions that occur in mathematics and its applications are the exponential function f(𝑥) = 𝑎𝑥 and its inverse function, the logarithmic function 𝑔(𝑥) = log■(x@a). Such functions arise in many applications and are powerful mathematical tools for solving real life problems such as analyzing population growth, decay of radioactive substances, calculating compound interest in accounting, etc. In this unit, we will investigate their various properties and learn how they can be used in solving real life problems.15
- 3.0Lesson 8: Exponents and Logarithms30 Minutes
- 3.1Lesson 8: Activity 1: Exponents and Logarithms10 Minutes4 Questions
- 3.2Summary: Exponents and Logarithms10 Minutes
- 3.3Lesson 8: Test15 Minutes5 Questions
- 3.4Downloadable offline Resource
- 3.5Lesson 9: The Exponential Functions and Their Graphs30 Minutes
- 3.6Lesson 9: Activity: 1 The Exponential Functions and Their Graphs15 Minutes5 Questions
- 3.7Summary: Exponential Functions and Their Graphs10 Minutes
- 3.8Lesson 9: Test18 Minutes6 Questions
- 3.9Downloadable offline Resource:
- 3.10Lesson 10: Solving Exponential and Logarithmic Equations30 Minutes
- 3.11Lesson 10: Activity 1: Solving Exponential and Logarithmic Equations18 Minutes6 Questions
- 3.12Lesson 10: Summary: Solving Exponential and Logarithmic Equations10 Minutes
- 3.13Lesson 10: Test15 Minutes5 Questions
- 3.14Downloadable offline Resource
- Unit Four: TRIGONOMETRIC FUNCTIONSThe word ‘trigonometry’ is derived from the Greek word ‘trigon’ and ‘metron’ and it means ‘measuring the sides of a triangle’. The subject was originally developed to solve geometric problems involving triangles. It was studied by sea captains for navigation, surveyors for mapping out the new lands and engineers for other purposes. Currently, trigonometry is used in many areas such as seismology, designing electric circuits, describing the state of an atom, predicting the heights of tides in the ocean, analyzing a musical tone and in many other areas. Of a right-angled triangle. In this unit, we will study the trigonometric identities and application of trigonometric ratios in solving the problems and generalize the concept of trigonometric ratios to trigonometric functions and study their properties.13
- 4.1Lesson 11: Radian Measure of Angle30 Minutes
- 4.2Lesson 11: Activity 1: Radian Measure of Angle15 Minutes5 Questions
- 4.3Lesson 11: Summary: Radian Measure of Angle10 Minutes
- 4.4Lesson 11: Test 1: Radian Measure of Angle15 Minutes5 Questions
- 4.5Lesson 12: Basic Trigonometric Functions30 Minutes
- 4.6Lesson 12: Activity .1: Basic Trigonometric Functions15 Minutes5 Questions
- 4.7Summary: Basic Trigonometric Functions10 Minutes
- 4.8Lesson 12: Test : Basic Trigonometric Functions15 Minutes5 Questions
- 4.9Lesson 13: Trigonometric Identities and Equations30 Minutes
- 4.10Activity 13 on Trigonometric Identities and Equations15 Minutes5 Questions
- 4.11Summary on Trigonometric Identities and Equations10 Minutes
- 4.12Lesson 13: Test : Trigonometric Identities and Equations15 Minutes5 Questions
- 4.14Gamified Activity
