Back to: Gr 9 Mathematics
Lessons
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Counting Numbers
- 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
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Integers
- Add and subtract
- Multiply and divide
- All four operations
- Squares, square roots, cubes, cube roots
- Commutative, associative and distributive properties and additive inverse
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Rational Numbers
- Add and subtract
- Multiply and divide fractions including fractions with powers
- Equivalent fractions
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Decimal Numbers
- Addition and subtraction
- Multiplication
- Division
- Mixed operations
- Squares, square roots, cubes, cube roots
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Exponents
- Multiplying with powers
- Division of powers
- Product of a power
- Zero as a power
- Negative exponents
- Exponential exponents
- Scientific notation
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Patterns
- Input and output values
- Number patterns
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Algebraic Expressions
- Addition and subtraction
- Multiplication
- Division
- Multiplying brackets
- Substitution
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Equations
- Solving equations by inspection
- Equations with one variable
- Multiple variables
- Fractions
- Word problems
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Construction
- Construction
- Interior angles of polygons
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Triangles
- Properties of triangles
- Similar triangles
- Congruent triangles
- Pythagoras' Theorem
- Using Pythagoras to prove a 90-degree angle
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Quadrilaterals
- Properties of quadrilaterals
- Identifying angles
- Problem solving with straight line properties
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Area and Perimeter - 2D
- Rectangles and squares
- Triangles
- Circles
- Combined shapes
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Surface Area and Volume - 3D
- Cube, triangular prism and cylinder
- Combined shape
- Increase shape to determine ratio
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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
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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
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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)
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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
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Transformation Geometry
- Translation and reflection
- Rotation and enlargement
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Organising and Representing Data
- Histogram
- Bar graph
- Pie chart
- Measure of central tendency
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Probability
- Introduction
- Two-way table
- Tree diagram
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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
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