Mathematics Grade 9-12: Concise Summary → 1.1. Set and its Elements

Curriculum

25 Sections
113 Lessons
365 Days

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Unit 1: Further on Sets
4
- 1.1
  1.1. Set and its Elements
- 1.2
  1.2 The Notion of Sets
- 1.3
  1.3 Operations on Sets
- 1.4
  Unit 1: Review Questions
  45 Minutes15 Questions
Unit 2: The Number System
6
- 2.1
  2.1. Revision on Natural Numbers and Integers
- 2.2
  2.2 Rational Numbers
- 2.3
  2.3. Irrational Numbers
- 2.4
  2.4. Real Numbers
- 2.5
  2.5. Applications
- 2.6
  Unit 2: Review Questions
  24 Minutes8 Questions
UNIT 3: Solving Equations
4
- 3.1
  3.1. Systems of linear equations in two variables
  30 Minutes
- 3.2
  3.2. Solving nonlinear equations
  30 Minutes
- 3.3
  3.3. Some Applications of Solving Equations
- 3.4
  Unit 3: Solved Review Questions
  30 Minutes10 Questions
UNIT 4: Solving Inequalities
6
- 4.1
  4.1. Revision on Linear Inequalities in one Variable
  30 Minutes
- 4.2
  4.2 Inequalities Involving Absolute Value
  30 Minutes
- 4.3
  4.3 Inequalities Involving Absolute Value
  30 Minutes
- 4.4
  4.4 Quadratic Inequalities
  30 Minutes
- 4.5
  4.5 Some Applications of Inequalities
- 4.6
  Unit 4: Review Questions
  30 Minutes10 Questions
UNIT 5: Regular Polygons
5
- 5.1
  5.1. Sum of Interior Angles of a Convex Polygon
  30 Minutes
- 5.2
  5.2. Sum of Exterior Angles of a Convex Polygon
- 5.3
  5.3. Measures of Each Interior and Exterior Angle
- 5.4
  5.4. Properties of Regular Polygons
  30 Minutes
- 5.5
  Unit 5: Review Questions
  30 Minutes10 Questions
UNIT 6: Congruency and Similarity
8
- 6.1
  6.1. Revision on Congruency of Triangles
  30 Minutes
- 6.2
  6.2 Definition of Similar Figures
  20 Minutes
- 6.3
  6.3 Theorems on Similar Plane Figures
  30 Minutes
- 6.4
  6.4 Ratio of Perimeters of Similar Plane Figures
  30 Minutes
- 6.5
  6.5 Ratio of Areas of Similar Plane Figures
  20 Minutes
- 6.6
  6.6 Construction of similar figures
- 6.7
  6.7 Applications of Similarity
  20 Minutes
- 6.8
  Unit 6: Review Questions
  30 Minutes10 Questions
Unit 7: Polynomial Functions
7
- 7.1
  7.1. Definition of Polynomial Function
  30 Minutes
- 7.2
  7.2. Operations on Polynomial Functions
  30 Minutes
- 7.3
  7.3. Theorems on Polynomials
  30 Minutes
- 7.4
  7.4. Zeros of a Polynomial Function
  30 Minutes
- 7.5
  7.5. Graphs of Polynomial Functions
  20 Minutes
- 7.6
  7.6. Applications
  20 Minutes
- 7.7
  Unit 7: Review Questions
  48 Minutes16 Questions
Unit 8: Exponential and Logarithmic Function
7
- 8.1
  8. 1 Exponents and Logarithms
  30 Minutes
- 8.2
  8.2 The Exponential Functions and Their Graphs
  20 Minutes
- 8.3
  8.3 The Logarithmic Functions and Their Graphs
  20 Minutes
- 8.4
  8.4 Solving Exponential and Logarithmic Equations
  30 Minutes
- 8.5
  8.5 Applications
  30 Minutes
- 8.6
  Unit 8: Review Exercise 1
  60 Minutes16 Questions
- 8.7
  Unit 8: Review Questions 2
  39 Minutes12 Questions
Unit 9:Trigonometric Functions
5
- 9.1
  9.1 Radian Measure of Angle
  30 Minutes
- 9.2
  9.2. Basic Trigonometric Functions
- 9.3
  9.3 Trigonometric Identities and Equations
- 9.4
  9.4. Trigonometric equations and its Applications
- 9.5
  Unit 9: Review Questions
  45 Minutes15 Questions
Unit 10 : Circle
3
- 10.1
  10.1. Symmetrical Properties of Circles
  30 Minutes
- 10.2
  10.2. Arc Lengths, Perimeters and Areas of Segments and Sectors
  30 Minutes
- 10.3
  Unit 10: Review Questions
  30 Minutes10 Questions
Unit 11: Solid Figures
6
- 11.1
  11.1. Revision of Prisms and Cylinders
  20 Minutes
- 11.2
  11.2. Pyramids, Cones and Spheres
  30 Minutes
- 11.3
  11.3 Frustum of Pyramids and Cones
- 11.4
  11.4 Surface Area and Volume of Composed Solids
  30 Minutes
- 11.5
  11.5 Applications
  20 Minutes
- 11.6
  Unit 11: Review Questions
  30 Minutes10 Questions
Unit 12: Coordinate Geometry
6
- 12.1
  12.1: Distance between Two Points
  30 Minutes
- 12.2
  12.2 Division of a Line Segment
- 12.3
  12.3 Equation of a Line
- 12.4
  12.4 Parallel and Perpendicular Lines
- 12.5
  12.5 Equation of a Circle
  30 Minutes
- 12.6
  Unit 12: Review Questions
  30 Minutes10 Questions
Unit 13: Relations and Functions
6
- 13.1
  13.1. Relations
  30 Minutes
- 13.2
  13.2 . Inverse of Relations and Their Graph
  30 Minutes
- 13.3
  13.3. Functions
  30 Minutes
- 13.4
  13.4. Composition of Functions
  30 Minutes
- 13.5
  13.5. Inverse Functions and Their Graph
  30 Minutes
- 13.6
  Unit 13: Review Questions
  45 Minutes15 Questions
Unit 14: Rational Functions
7
- 14.1
  14.1. Rational Expressions
  30 Minutes
- 14.2
  14.2. Simplification of Rational Expressions
  30 Minutes
- 14.3
  14.3. Decomposition of Rational Expressions
  30 Minutes
- 14.4
  14.4. Rational Equations and Inequalities
  30 Minutes
- 14.5
  14.5. Rational Inequalities
  30 Minutes
- 14.6
  14.6. Rational Functions and Their Graphs
  30 Minutes
- 14.7
  Unit 14: Review Questions
  33 Minutes11 Questions
Unit 15: Matrices
8
- 15.1
  15.1. Concept of Matrices
  30 Minutes
- 15.2
  15.2. Operations on Matrices
  30 Minutes
- 15.3
  15.3. Transpose of matrices and its property
  30 Minutes
- 15.4
  15.4. Special Types of Matrices
  30 Minutes
- 15.5
  15.5. Elementary Operations on Matrices
  30 Minutes
- 15.6
  15.6. System of Linear Equations
  30 Minutes
- 15.7
  15.7. Inverse of Square Matrices
  30 Minutes
- 15.8
  Unit 15: Review Questions
  27 Minutes9 Questions
UNIT 16: Determinants of Matrices
6
- 16.1
  16.1. Introduction to Determinant
  30 Minutes
- 16.2
  16.2. Properties of Determinants of Matrices
  30 Minutes
- 16.3
  16.3. Inverse of a Square Matrix
  30 Minutes
- 16.4
  16.4. Solution of System of Linear Equations
  30 Minutes
- 16.5
  16.5. Application
  30 Minutes
- 16.6
  Unit 16: Review Questions
  27 Minutes9 Questions
Unit 17: Vectors
4
- 17.1
  17.1. Revision on Vectors and Scalars
  30 Minutes
- 17.2
  17.2. Scalar(Inner) and Vector Products
- 17.3
  17.3. Application of Vectors
- 17.4
  Unit 17: Review Questions
  30 Minutes10 Questions
Unit 18: Transformation of the Plane
4
- 18.1
  18.1. Introduction
  30 Minutes
- 18.2
  18.2. Reflection
  30 Minutes
- 18.3
  18.3. Rotation
  30 Minutes
- 18.4
  Unit 18: Review Questions
  24 Minutes8 Questions
UNIT 19: Sequence and Series
6
- 19.1
  19.1 SEQUENCE
  30 Minutes
- 19.2
  19.2 ARITHMETIC AND GEOMETRIC SEQUENCES
  30 Minutes
- 19.3
  19.3 THE SIGMA NOTATION AND PARTIAL SUMS
  30 Minutes
- 19.4
  19.4 INFINITE SERIES
  30 Minutes
- 19.5
  19.5 APPLICATIONS OF SEQUENCE AND SERIES IN DAILY LIFE
  30 Minutes
- 19.6
  Unit 19: Review Questions
  30 Minutes11 Questions
UNIT 20: Introduction to Calculus
7
- 20.1
  20.1. INTRODUCTION TO DERIVATIVES
  30 Minutes
- 20.2
  20.2 MAXIMUM AND MINIMUM POINTS
  30 Minutes
- 20.3
  20.3. APPLICATIONS OF DERIVATIVES
  30 Minutes
- 20.4
  20.4. INTRODUCTION TO INTEGRATION
  30 Minutes
- 20.5
  20.5. MORE ON DEFINITE INTEGRALS AND AREA
  30 Minutes
- 20.6
  20.6. APPLICATION OF INTEGRATION
  30 Minutes
- 20.7
  Unit 20: Review Questions
  27 Minutes9 Questions
UNIT 21: Statistics
5
- 21.1
  21.1. MEASURES OF ABSOLUTE DISPERSION
- 21.2
  21.2. MEASURES OF RELATIVE DISPERSION
- 21.3
  21.3. USE OF FREQUENCY CURVES
- 21.4
  21.4. SAMPLING TECHNIQUES
- 21.5
  Unit 21: Review Questions
  30 Minutes8 Questions
Unit 22: Probability
9
- 22.1
  22.1. Fundamental Principle of Counting
  30 Minutes
- 22.2
  22.2. Permutations
  30 Minutes
- 22.3
  22.3. Combination
- 22.4
  22.4. Binomial Theorem
- 22.5
  22.5. Random Experiments and Their Outcomes
- 22.6
  22.6. Events
- 22.7
  22.7. Probability of an event
- 22.8
  22.8. Real-life Application of Probability
- 22.9
  Unit 22: Review Questions
  30 Minutes10 Questions
UNIT 23: Introduction to Linear Programming
4
- 23.1
  23.1. GRAPHICAL SOLUTIONS OF SYSTEM OF LINEAR INEQUALITIES
- 23.2
  23.2. MAXIMUM AND MINIMUM VALUES
- 23.3
  23.3. APPLICATIONS
- 23.4
  Unit 23: Review Questions
  24 Minutes7 Questions
UNIT 24: Mathematical Applications in Business
5
- 24.1
  24.1. Basic Mathematical Concepts in Business
- 24.2
  24.2. Time Value of Money
- 24.3
  24.3. Saving, Investing and Borrowing Money
- 24.4
  24.4. Taxation
- 24.5
  Unit 24: Review Questions
  30 Minutes10 Questions
Model Exam 2017 E.C
1
- 25.1
  Model Exam
  3 Hours60 Questions

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