MATHEMATICS GRADE 9
COURSE DESCRIPTION:
- Polynomials
- Linear Equations in Two Variables
- Introduction to Euclid’s Geometry
- Lines and Angles
- Coordinate Geometry
- Triangles
- Quadrilaterals
- Area of Parallelograms and Triangles
- Circles
- Heron’s Formula
- Constructions
- Surface Areas and Volumes
- Statistics
- Probability
- Number System
Polynomials - Part 1
1
Introduction
3
Zeros of a Polynomial – Part 1
5
Remainder Theorem – Part 1
6
Remainder Theorem – Part 2; Exercise 2.3
7
Factorization of Polynomials – Part 1
8
Factorization of Polynomials – Part 2; Exercise 2.4
9
Exercise 2.4
10
Exercise 2.4 Continued…
Polynomials - Part 2
1
Algebraic Identities
2
Examples 16 to 20
3
Examples 21 to 23
4
Examples 24, 25; Exercise 2.5(1,2)
5
Exercise 2.5 (3-5)
6
Exercise 2.5 (6-8)
7
Exercise 2.5 (9-14)
8
Exercise 2.5 (15- 16)
Linear Equations in Two Variables
1
Introduction
2
Exercise 4.1;Solution for Linear Equation; Examples (3,4)
3
Exercise 4.2
4
Graph of a Linear Equation in 2 Variable;Examples(5,6)
5
Examples(7,8);Exercise 4.3(1)
6
Exercise 4.3 (2-5)
7
Exercise 4.3 (6-8)
8
Equations of Lines Parallel to the x and y axis; Exercise 4.4
Introduction to Euclid's Geometry - Part 1
1
Introduction
2
Euclid’s Axioms and Postulates; Theorem 5.1
3
Exercise 5.1 (1-4)
Introduction to Euclid's Geometry - Part 2
1
Exercise 5.1 (5 to 7); Equivalents of Euclid’s 5th Postulate; Exercise 5.2 (1,2)
Lines and Angles
1
Introduction
2
Adjacent Angles; Vertically Opposite Angles
3
Theorem 6.1; Examples 1,2 & 3
4
Exercise 6.1 (1 to 6)
5
Parallel and Transversal Lines; Axiom 6.3 and Theorem 6.2
6
Theorem 6.3 to 6.6
7
Example 4,5 & 6
8
Exercise 6.2 (1 to 6)
9
Theorem 6.7, 6.8; Example 7 & 8
10
Exercise 6.3 (1 to 6)
Coordinate Geometry
1
Introduction
2
Exercise 3.1
3
Exercise 3.2 and 3.3
Triangles
1
Introduction
2
Criteria for Congruence of Triangles
3
ASA Congruence Rule
4
Theorem 7.2, 7.3, 7.4, 7.5, Example 1
5
Example 2,3,4,5,6
6
Exercise 7.1 (1,2,3,4,5)
7
Exercise 7.1 (6,7,8)
8
Exercise 7.2 (1,2,3,4,5,6,7,8)
9
Examples 7, 8
10
Exercise 7.3
11
Inequalities in a Triangle; Theorem 7.6, 7.7 and 7.8
12
Example 9; Exercise 7.4 (1,2)
13
Exercise 7.4 (3,4,5,6)
Quadrilaterals
1
Introduction
2
Properties of Parallelogram; Theorem 8.2, 8.3, 8.4, 8.5
3
Theorem 8.6, 8.7, 8.8, Example 1
4
Example 2,3,4,5,6
5
Exercise 8.1 (1 to 4)
6
Exercise 8.1 (5 to 7)
7
Exercise 8.1 (8,9,10)
8
Exercise 8.1 (11,12)
9
Mid Point Theorem and Converse of the Mid Point Theorem
10
Exercise 8.2 (1,2,3)
11
Exercise 8.2 (4,5,6,7)
Area of Parallelograms and Triangles
1
Introduction
2
Exercise 9.1; Theorem 9.1
3
Example 1,2; Exercise 9.2 (1)
4
Exercise 9.2 (2,3,4)
5
Exercise 9.2 (5,6); Theorem 9.2
6
Formula for Area of a Triangle; Example(3,4); Exercise 9.3(1,2,3)
7
Exercise 9.3 (4,5)
8
Exercise 9.3 (6,7,8)
9
Exercise 9.3 (9,10,11,12)
10
Exercise 9.3 (13,14,15,16)
Circles
1
Introduction
2
Exercise 10.1, Theorem 10.1
3
Theorem 10.2; Perpendicular Bisector; Theorem (10.3,10.4); Exercise 10.2(1,2)
4
Circle Through Three Point; Theorem 10.5;Example 1; Exercise 10.3 (1,2,3)
5
Theorem 10.6, 10.7; Example 2; Exercise 10.4 (1,2)
6
Exercise 10.4 (3,4,5,6)
7
Theorem 10.8, 10.9, 10.10
8
Theorem 10.11, 10.12
9
Example 3, 4, 5, 6
10
Exercise 10.5 (1,2,3,4,5,6)
11
Exercise 10.5 (7,8,9,10,11,12)
Heron's Formula
1
Introduction
2
Example 3; Exercise 12.1 (1 to 6)
3
Applications of Heron’s Formula; Example 4,5,6
4
Exercise 12.2 (1,2,3,4)
5
Exercise 12.2 (5,6,7,8,9)
Constructions
1
Introduction
2
Constructions 11.2, 11.3
3
Exercise 11.1 (1,2)
4
Exercise 11.1 (3)
5
Exercise 11.1 (4)
6
Exercise 11.1 (5); Construction 11.4
7
Constructions 11.5 Case 1 and 2; Construction 11.6
8
Example 1; Exercise 11.2 (1)
9
Exercise 11.2 (2,3)
10
Exercise 11.2 (4,5)
Surface Areas and Volumes
1
Introduction
2
Exercise 13.1 (1 to 6)
3
Exercise 13.1 (7,8); Right Circular Cylinder; Exercise 13.2(1,2)
4
Exercise 13.2 (3 to11)
5
Right Circular Cone; Exercise 13.3 (1 to 8)
6
Sphere; Exercise 13.4 (1 to 9)
7
Exercise 13.5 (1 to 7)
8
Exercise 13.5 (8,9); Exercise 13.6 (1,2,3,8); Exercise 13.7 (1,6,7)
9
Exercise 13.6 (4,5,6,7)
10
Exercise 13.7 (2 to 9)
11
Exercise 13.8 (1 to 10)
12
Worked out Examples
Statistics
1
Introduction; Exercise 14.1(1,2); Example(1,2)
2
Presentation of Data; Example 3,4 ; Exercise 14.2(1,2)
3
Exercise 14.2 (3 to 7)
4
Exercise 14.2 (8,9); Exercise 14.3 (1,2)
5
Exercise 14.3 (3 to 6)
6
Exercise 14.3 (7 to 9)
7
Central tendency of Data(Mean,Median & Mode); Exercise 14.4( 1 to 6)
Probability
1
Introduction; Example (1 & 2)
2
Example 3; Exercise 15.1(1,2,4,5,7,11,13)
Number System
1
Introduction
2
Example 2; Exercise 1.1(1,2,3,4)
3
Irrational Numbers; Example 3; Exercise 1.2(1,2,3)
4
Real Numbers and Their Decimal Expansion; Example 5,6,7
5
Example 8,9,10; Exercise 1.3(1,2)
6
Exercise 1.3(3,4,5,6,7,8,9)
7
Operations on Real Numbers
8
Representing Real Numbers on Number line
9
Identities; Example 16 to 18
10
Exercise 1.5
11
Laws of Exponents; Exercise 1.6 – Part 1
12
Laws of Exponents; Exercise 1.6 – Part 2
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