Algebraic Expressions · JHS3 Mathematics

Lesson notes

Learning Objectives

Indicator: B9.2.2.1.3 - Factorise expressions that have simple binomial.

By the end of the lesson, learners can:

Identify the highest common factor (HCF) of the terms in a given algebraic expression.
Factorise expressions with a single term (monomial) as a common factor, such as 3x + 4xy = x(3 + 4y).
Factorise expressions correctly when the common factor is negative, such as -13xy + 39x = -13x(y - 3).
Verify factorised expressions by expanding the brackets to check that the result matches the original expression.
Apply factorisation to simplify expressions before substituting values to evaluate them.

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Curriculum details

Strand: Algebra (Strand 2)
Sub-strand: Algebraic Expressions (2.2)
Content standard: B9.2.2.1 - Demonstrate an understanding of (i) change of subject (ii) substituting values to evaluate expressions, and (iii) factorize expressions that have simple binomial as a factor.
Indicator: B9.2.2.1.3 - Factorise expressions that have simple binomial.
Suggested placement: Term 2, Week 7 (Week 19 of the year)
Our suggestion, laid out in curriculum order across three terms of twelve weeks. NaCCA does not fix the week, so follow your school's scheme of learning.
Curriculum reference: Mathematics, Common Core Programme (JHS1-JHS3), 2023, p. 186
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g. Factorise the following expressions.
i. 3x + 4xy = x (3 +4y)
ii. 12ab + 16b = 4b (3a + 4)
iii. -13xy + 39x= -13x(y-3)
iv. 5y-2y 2 +3y=-3y+3y
v. 8y-2y 2 = 2y(4-y)
vi. -6x+12=-3(2x-4)