Algebraic Expressions · JHS2 Mathematics

Lesson notes

Learning Objectives

Indicator: B8.2.2.1.1 - Use the distributive property to remove brackets and solve multiplication of binomial expression.

By the end of the lesson, learners can:

apply the distributive property to expand single-bracket expressions such as 6(x + 3) and -5x(3x + 4)
expand expressions containing multiple brackets, collecting like terms after removing the brackets
multiply two binomial expressions using the distributive property (the FOIL approach) to obtain a simplified answer
identify and apply the special products (a + b)² and (a + b)(a - b) to expand expressions efficiently
solve word problems that require expanding algebraic expressions to find unknown areas or quantities

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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: B8.2.2.1.1 - Use the distributive property to remove brackets and solve multiplication of binomial expression.
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. 118
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g.1 Expand these expressions:
• 6(x + 3) • 2(6 - 5x) - 3(2 + 2x) - 4(3x - 1)
• -5x(3x + 4)
• 8 - (4 - d) - (6 - d)
• 3(x + 4) - 2(x - 5)
• (e + f - g) - (e - f + g)
E.g.2 Multiply binomial expressions Simplify
i. (a + 2)(a + 3) iv. (2x + 3) 2
ii. (2x + y)(2x - y) v. (x - 2x) 2
iii. multiply (3x - 2y) by (3x + 2y) vi. (a + 2) 2