MATHEMATICS GRADE 10
COURSE DESCRIPTION:
- Polynomials
- Pair of Linear Equations in 2 Variables
- Quadratic Equations
- Arithmetic Progression
- Triangles
- Coordinate Geometry
- Introduction to Trigonometry
- Circles
- Constructions
- Area Related to Circles
- Surface Areas and Volumes
- Statistics
- Probability
- Real Numbers
Polynomials
1
Introduction
3
Types of Polynomials; Exercise 2.1
5
Exercise 2.2
6
Division Algorithm for Polynomial Part 1; Exercise 2.2
7
Division Algorithm for Polynomial Part 2; Examples
8
Exercise 2.3 – Part 1
9
Exercise 2.3 – Part 2
10
Exercise 2.3 – Part 3
Pair of Linear Equations in 2
1
Introduction
2
Examples; Exercise 3.1 – Part 1
3
Exercise 3.1 – Part 2; Graphical Method of Solution of a Pair of Linear Equation
4
Exercise 3.2 – Part 1
5
Exercise.3.2; Algebraic Methods of Solving a Pair of Linear Equations
6
Algebraic Methods of Solving a Pair of Linear Equations Continued…
7
Exercise.3.3 – Part 1
8
Exercise.3.3 – Part 2
9
Exercise.3.4 – Part 1
10
Exercise.3.4 – Part 2
11
Elimination Method and Exercise 3.4 – Part 3
12
Cross Multiplication Method
13
Exercise 3.5 – Part 1
14
Exercise 3.5 – Part 2
15
Exercise 3.5 – Part 3 and Exercise 3.6 – Part 1
16
Exercise 3.6 – Part 2
17
Exercise 3.6 – Part 3
Quadratic Equations
1
Introduction
2
Exercise 4.1 – Part 1
3
Exercise 4.1 – Part 2; Solution of a Quadratic Equation
4
Method of Factorization (Exercise 4.2 – Part 1)
5
Exercise 4.2 – Part 2
6
Exercise 4.3 – Part 1
7
Exercise 4.3 (4,5,6)
8
Exercise 4.3 (7,8,9)
9
Exercise 4.3 (10,11)
10
Exercise 4.4 – Part 1 (Nature of Roots)
11
Method of Factorization
12
Exercise 4.3 (Q 2,3)
Arithmetic Progression
1
Introduction
2
Exercise 5.1 – Part 1
3
Exercise 5.1 – Part 2
4
Exercise 5.1 – Part 3
5
Exercise 5.2 – Part 1
6
Exercise 5.2 – Part 2
7
Exercise 5.2 – Part 3
8
Exercise 5.2 – Part 4
9
Exercise 5.2 – Part 5
10
Exercise 5.3 – Part 1
11
Exercise 5.3 – Part 2
12
Exercise 5.3 – Part 3
13
Exercise 5.3 – Part 4
14
Exercise 5.3 – Part 5
15
Exercise 5.3 – Part 6
16
Exercise 5.3 – Part 7
17
Exercise 5.3 – Part 8
Triangles - Part 1
1
Introduction; Exercise 6.1
2
Basic Proportionality Theorem and its Converse
3
Exercise 6.2 (1,2)
4
Exercise 6.2 (3,4,5,6)
5
Exercise 6.2 (8,9); Exercise 6.3 (1)
6
Exercise 6.3 (1,2,3,5)
7
Exercise 6.3 (7,9)
8
Exercise 6.3 (14,15,16)
9
Area of Similar Triangles; Exercise 6.4 (2,3)
10
Exercise 6.4 (4,5)
11
Exercise 6.4 (7,8,9)
12
Pythagoras Theorem; Exercise 6.5 (1,6,7)
13
Exercise 6.5 (8,10,11)
14
Exercise 6.5 (12,13,14,15,16)
15
Exercise 6.5 (16)
Triangles - Part 2
1
Exercise 6.4 (1,6)
2
Pythagoras Theorem; Exercise 6.5 (2,3,4,5)
Coordinate Geometry
1
Introduction
2
Section Formula; Examples
3
Examples for Section Formula
4
Exercise 7.1 (1,2,3)
5
Exercise 7.1 (4,6)
6
Exercise 7.1 (6,7)
7
Exercise7.1 (8,9,10)
8
Exercise 7.2 (1,2,4)
9
Exercise 7.2 (5,6,7)
10
Exercise 7.2 (8,9,10)
11
Area of a Triangle
12
Example for Section Formula;Exercise 7.3 (1,2)
13
Exercise 7.3 (3,4,5)
Introduction to Trigonometry
1
Introduction
2
Exercise 8.1 (1,2,3,4,5)
3
Exercise 8.1 (6,7,8,9,10,11)
4
Trigonometric Ratios of Some Specific Angles
5
Trigonometric Ratios of Some Specific Angles (Continued…)
6
Trigonometric Ratios of Complementary Angles
7
Exercise 8.4 (1 to 4)
8
Exercise 8.4 (5); Track to Remember the Trigonometric Ratios
Some Applications of Trigonometry
1
Introduction
2
Exercise 9.1 (2,3,4,5)
3
Exercise 9.1 (6,7,8)
4
Exercise 9.1 (9,10,11)
5
Exercise 9.1 (12,13,14)
6
Exercise 9.1 (15,16)
Circles
1
Introduction
2
Exercise 10.2 (1,2,3,4)
3
Exercise 10.2 (5,6,7,8)
4
Exercise 10.2 (10,12,13)
Constructions
1
Introduction
2
Exercise 11.1 (1)
3
Exercise 11.1 (2,3)
4
Exercise 11.1 (4 )
5
Exercise 11.1 (5,6,7)
6
Exercise 11.2 (1,2)
7
Exercise 11.2 (3,4,5)
Area Related to Circles
1
Introduction; Exercise 12.1 (1,2)
2
Exercise 12.1 (3,4,5)
3
Sector and Segment of a Circle
4
Exercise 12.2 (1,2,3)
5
Exercise 12.2 (4)
6
Exercise 12.2 (5,6)
7
Exercise 12.2 (7,8)
8
Exercise 12.2 (9,10)
9
Exercise 12.2 (11,12,13,14)
10
Area of Combination of Plane Figures; Example 4
11
Exercise 12.3 (1,2,3)
12
Exercise 12.3 (4,5,7)
13
Exercise 12.3 (8)
14
Exercise 12.3 (9,10)
15
Exercise 12.3 (11,12,13)
16
Exercise 12.3 (14,15,16)
Surface Areas and Volumes
1
Introduction
2
Example 3
3
Example 4; Exercise 13.1 (1,2)
4
Exercise 13.1 (3,4,5)
5
Exercise 13.1 (6,7)
6
Exercise 13.1 (8,9)
7
Volume of Combination of Solids ; Exercise 13.2 (1)
8
Exercise 13.2 (2,3)
9
Exercise 13.2 (4,5)
10
Exercise 13.2 (6,7)
11
Exercise 13.2 (8)
12
Conversion of Solids (Example 1 )
13
Exercise 13.3 (1,2,3)
14
Exercise 13.3 (4,5)
15
Exercise 13.3 (6,7)
16
Exercise 13.3 (8,9)
17
Exercise 13,4 (1,2)
18
Exercise 13,4 (3,5)
Statistics
1
Introduction
2
Example to Find Mean
3
Example 2; Exercise 14.1 (1)
4
Exercise 14.1 (2,3,4)
5
Exercise 14.1 (5,6)
6
Exercise 14.1 (7,8)
7
Exercise 14.1 (9) ; Mode of Grouped Data
8
Exercise 14.2 (2,3,4,5)
9
Exercise 14.2 (6); Mean of Grouped Data ;Exercise 14.3(1)
10
Exercise 14.3 (2,3,4,5)
11
Exercise 14.3 (6,7);Graphical Representation of Cumulative Frequency distribution
12
Exercise 14.4 (1,2,3)
Probability
1
Introduction
2
Example 2,3,4
3
Example 5,6,8,9
4
Exercise 15.1 (1,2)
5
Exercise 15.1 (3,4,5,6,7,8)
6
Exercise 15.1 (9,10,11,12,13)
7
Exercise 15.1 (14,15,17)
8
Exercise 15.1 (18,19,20,21)
9
Exercise 15.1 (22,24,25)
Real Numbers
1
Introduction
2
Exercise 1.1(2,3,4)
3
Exercise 1.1(5); Fundamental Theorem of Arithmetic
4
Exercise 1.2
5
Irrational Numbers – Theorem 1.3
6
Exercise 1.3
7
Revisiting Rational Numbers and their Decimal Expansion
8
Theorem 1.7; Exercise 1.4
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