Grade 9 Term 2 Mathematics Guide

Description

Grade 9 Term 2 Mathematics Guide
Explanations and Examples

SECTION 1 – ALGEBRAIC EXPRESSIONS

1. EXPAND AND SIMPLIFY ALGEBRAIC EXPRESSIONS
1.1 ADD AND SUBTRACT LIKE TERMS IN ALGEBRAIC EXPRESSIONS
1.2 MULTIPLY INTEGERS AND MONOMIALS, BINOMIALS AND TRINOMIALS
1.3 DIVIDE MONOMIALS, BINOMIALS, TRINOMIALS BY INTEGERS OR MONOMIALS
1.4 SIMPLIFY ALGEBRAIC EXPRESSIONS INVOLVING THE ABOVE OPERATIONS
1.5 DETERMINE THE SQUARES, CUBES, SQUARE ROOTS AND CUBE ROOTS OF SINGLE ALGEBRAIC TERMS OR LIKE ALGEBRAIC TERMS
1.6 DETERMINE THE NUMERICAL VALUE OF ALGEBRAIC EXPRESSIONS BY SUBSTITUTION
1.7 THE PRODUCT OF TWO BINOMIALS
1.8 PRODUCT OF SUM AND DIFFERENCE
1.9 THE SQUARE OF A BINOMIAL

2. FACTORISE ALGEBRAIC EXPRESSIONS
2.1 COMMON FACTORS
2.2 DIFFERENCE OF TWO SQUARES
2.3 TRINOMIALS OF THE FORM 𝒙𝟐+𝒃𝒙+𝒄 AND 𝒂𝒙𝟐+𝒃𝒙+𝒄
2.4 FACTORISING ALGEBRAIC EXPRESSIONS
2.5 SIMPLIFYING ALGEBRAIC FRACTIONS USING FACTORISATION

SECTION 2 – ALGEBRAIC EQUATIONS

1. SOLVING EQUATIONS
1.1 SET UP EQUATIONS TO DESCRIBE PROBLEM SITUATIONS
1.2 ANALYSE AND INTERPRET EQUATIONS THAT DESCRIBE A GIVEN SITUATION
1.3 SOLVE EQUATIONS BY INSPECTION
1.4 USING ADDITIVE AND MULTIPLICATIVE INVERSES
1.5 SOLVING EQUATIONS WITH BRACKETS
1.6 USING LAWS OF EXPONENTS
1.7 USE SUBSTITUTION IN EQUATIONS TO GENERATE TABLES OF ORDERED PAIRS
1.8 SOLVING EQUATIONS USING FACTORISATION

SECTION 3 – GRAPHS

1. INTERPRETING GRAPHS
1.1 ANALYSE AND INTERPRET GLOBAL GRAPHS OF PROBLEM SITUATIONS
1.2 LINEAR GRAPHS

2. DRAWING GRAPHS
2.1 DRAW GLOBAL GRAPHS FROM GIVEN DESCRIPTIONS OF PROBLEM SITUATIONS
2.2 USE TABLES OF ORDERED PAIRS TO PLOT POINTS AND DRAW GRAPHS ON THE CARTESIAN PLANE
2.3 DRAW LINEAR GRAPHS FROM GIVEN SITUATIONS
2.4 DETERMINING EQUATIONS FROM GIVEN LINEAR GRAPHS

SECTION 4 – GEOMETRY OF STRAIGHT LINES

1. ANGLE RELATIONSHIPS
1.1 PERPENDICULAR LINES
1.2 INTERSECTING LINES
1.3 PARALLEL LINES