Algebraic Expressions · JHS2 Mathematics

Lesson notes

Learning Objectives

Indicator: B8.2.2.1.4 - Factorise given expressions involving the four operations and use the experiences gained to solve problems.

By the end of the lesson, learners can:

Identify the greatest common factor (GCF) of the terms in a given algebraic expression.
Factorise expressions by taking out common factors, including expressions with two or more terms.
Factorise four-term expressions using the method of grouping.
Use factorisation to simplify expressions and solve simple problems set in practical situations.
Verify factorised results by expanding back to the original expression.

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Curriculum details

Strand: Algebra (Strand 2)
Sub-strand: Algebraic Expressions (2.2)
Content standard: B8.2.2.1 - Solve problems involving algebraic expressions (including multiplication of binomial expressions) factorise given expressions and substitute values to evaluate algebraic expressions.
Indicator: B8.2.2.1.4 - Factorise given expressions involving the four operations and use the experiences gained to solve problems.
Suggested placement: Term 2, Week 8 (Week 20 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. 120
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g.1 Factorise the following expressions
i. Common factors ii. Method of grouping
• 3ax + 6ay • 2ap + aq - bq - 2bp
• 54 - 81x
• 100x - 25x 2 • ab - by - ay + y 2
• 3x 2 + 2xy - 12xy - 8yz