Gr 9 Mathematics

by | Mar 25, 2020

Counting Numbers

Number systems
Adding integers (Column method)
Multiplication of integers
Long division
Factors, multiples and prime factors
Problem solving (Ratio and rates)
Direct and indirect proportions
Simple interest
Compound interest

Integers

Add and subtract
Multiply and divide
All four operations
Squares, square roots, cubes, cube roots
Commutative, associative and distributive properties and additive inverse

Rational Numbers

Add and subtract
Multiply and divide fractions including fractions with powers
Equivalent fractions

Decimal Numbers

Addition and subtraction
Multiplication
Division
Mixed operations
Squares, square roots, cubes, cube roots

Exponents

Multiplying with powers
Division of powers
Product of a power
Zero as a power
Negative exponents
Exponential exponents
Scientific notation

Patterns

Input and output values
Number patterns

Algebraic Expressions

Addition and subtraction
Multiplication
Division
Multiplying brackets
Substitution

Equations

Solving equations by inspection
Equations with one variable
Multiple variables
Fractions
Word problems

Construction

Construction
Interior angles of polygons

Triangles

Properties of triangles
Similar triangles
Congruent triangles
Pythagoras' Theorem
Using Pythagoras to prove a 90-degree angle

Quadrilaterals

Properties of quadrilaterals
Identifying angles
Problem solving with straight line properties

Area and Perimeter - 2D

Rectangles and squares
Triangles
Circles
Combined shapes

Surface Area and Volume - 3D

Cube, triangular prism and cylinder
Combined shape
Increase shape to determine ratio

Functions and Relationships

Input and output values
Table method and changing subject of formula
Output value used to find input value
Changing subject of formula
Rearrange formula to calculate missing value

Graphs

Table method
Dual-intercept method
Co-ordinates
Determine the equation
Sketching a straight line graph using the table method
Sketching a graph using the dual-intercept method
Using the gradient/y-intercept method to sketch a graph
Determine the gradient of a line
Determine the equation of a line

Algebraic expressions (Term 3 extension)

Expanding and simplifying expressions
Addition and subtraction of like terms
Multiplication
Division 1
Division 2
Mixed operations 1
Mixed operations 2
Squares, cubes, square roots and cube roots 
Determine the numerical value of algebraic expression through substitution 
The product of two binomials
The square of a binomial (a-b)(a+b)
Factorisation (Introduction)
Factorisation (Highest common factor)
Factorisation (Difference of two squares) 
Factorisation (Trinomials) 
Factorisation (Mixed Exercise 1)
Factorisation (Mixed Exercise 2)
Factorisation (Grouping)
Factorisation (Simplifying fractions)

Algebraic Equations (Term 3 extension)

Term 1 Revision
Using factorisation to help solve equations 1
Using factorisation to help solve equations 2
Equation word problems 1
Equation word problems 2
Equation word problems 3
Equation word problems 4
Exponential equations

Transformation Geometry

Translation and reflection
Rotation and enlargement

Organising and Representing Data

Histogram
Bar graph
Pie chart
Measure of central tendency

Probability

Introduction
Two-way table
Tree diagram

Extra Resources

Polynomials - Addition and subtraction
Polynomials - Division
Polynomials - Multiplication
Polynomials - Multiply brackets
Exponents
Factorisation
Grouping and fractions
Numeric and geometric patterns
Straight line graphs
 

Mathematic – Grade 9

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