Year 9 Mathematics – Expanding and Factorising
Unit Outline
Name: ........................................................................
Class: ............
Skill
Level
Highest Common Factor
(HCF) & Lowest
Common Multiple (LCM)
Novice
Developing
Highest Common Factor (HCF) Worksheet
Highest Common Factor Worksheets
Novice
Developing
Competent
Novice
Developing
Competent
Extension
Novice
Developing
Competent
Extension
Novice
Developing
Competent
Extension
Adding and Subtracting Like Terms Worksheet 1 & 2
Multiplying & Dividing with Pronumerals Worksheets
Combining Like Terms 1 (KA)
Basic Algebra Tables Worksheet & Basic Algebra
Worksheet
Evaluating Expressions 1 (KA)
Ex 4.1 Q1 (ESQ), 3 (ESQ), 4, 9, 11
Evaluating Expressions 2 (KA)
Expanding Worksheet
Distributive Property with Variables (KA)
Ex 4.2 Q3(RHS), 5(LHS), 6, 7(RHS), 8(LHS)
Ex 4.2 Q7 (LHS), 8 (RHS), 9 (LHS), 10, 12, 13
Multiplying Expressions 0.5 (KA)
Ex 4.3 Q1 (RHS), 2, 3 (LHS), 4, 5
Multiplying Expressions 1 (KA)
Ex 4.3 Q1 (RHS), 3 (LHS), 5, 7, 8, 10
Perfect Squares and
Difference of two
squares
(a + b)(c + d)
Developing
Competent
Extension
Ex 4.4 Q1 (RHS), 3 (LHS)
Ex 4.4 Q2 (RHS), 4 (LHS), 5, 6
Ex 4.4 Q2 (LHS), 4 (RHS), 7, 11, 12
Factorising using
common factors
Competent
Extension
Ex 4.5 Q2 (ESQ), 3 (LHS), 4 (ESQ)
Ex 4.5 Q3 (RHS), 4 (ESQ), 5 (ESQ), 7
Factorising by grouping
two and two
Competent
Extension
Ex 4.6 Q1(ESQ), 2 (ESQ)
Ex 4.6 Q1 (RHS), 2 (LHS), 3, 6
Factorising using the
difference of two
squares rule.
Competent
Extension
Factoring difference of squares 1 (KA)
Factoring difference of squares 2 (KA)
Factorising using the
perfect square rule.
Extension
Ex 4.8 Q1 (RHS), 2 (LHS)
Factorising quadratic
trinomials
Competent
Extension
Factoring Polynomials 1 (KA)
Factoring Polynomials 2 (KA)
Simplifying Like Terms
Substitution
Expanding
a(b + c)
Expanding
(a + b)(c + d)
Activities
Some/
Most/ All
Topic
Highest Common Factor (HCF) & Lowest
Common Multiple (LCM)
Simplifying Like Terms
Substitution
Expanding a(b+c)
Expanding (a+b)(c+d)
Perfect Squares and Difference of 2 Squares
Factorising Using Common Factors
Factorising by grouping ‘two and two’
Factorising using the difference of 2 square
rules
Factorising using the perfect square rule
Factorising Quadratic Trinomials
Videos
• Least Common Multiple
• Least Common Multiple (LCM)
• Greatest Common Divisor
• Simplify a Polynomial
• Adding Polynomials
• Adding Polynomials with Multiple Variables
• Subtracting Polynomials
• Subtracting Polynomials with Multiple Variables
• Variables Expressions & Equations
• Variables and Expressions 1
• Evaluating Expressions with Two Variables
• Evaluating a Polynomial at a Given Value
• Multiplying Monomials
• Multiplying Monomials by Polynomials
• Level 1 Multiplying Expressions
• Multiplying Binomials
• Multiplication of Polynomials
• More Multiplying Polynomials
• Multiplying Polynomials
• Multiplying Polynomials 1 (FOIL)
• Multiplying Polynomials 2 (FOIL)
• Square a Binomial
• Special Products of Binomials
• Special Polynomials Products 1
• Special Products of Polynomials 1
• Special Products of Polynomials 2
• Special Products of Polynomials 3
• Algebraic Expression Least Common Multiple
• Monomial Greatest Common Factor
• Factor polynomials using the GCF
• Factoring and the Distributive Property 2
• Factoring Trinomials by Grouping 1
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• Factoring Difference of Squares
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Factoring Special Products
Factoring Special Products 3
Factoring Perfect Square Trinomials
Factoring Quadratic Expressions
Factoring Trinomials by Grouping 2
Factoring Trinomials by Grouping 3
Factoring Trinomials by Grouping 4
Factoring Trinomials with a leading 1
Factoring Trinomials with a common factor