Number Operations · JHS3 Mathematics

Lesson notes

Learning Objectives

Indicator: B9.1.2.1.3 - Use the associative property of addition and multiplication.

By the end of the lesson, learners can:

State the associative property of addition and multiplication in their own words.
Verify that changing the grouping of three numbers in addition does not change the sum, using at least two numerical examples.
Verify that changing the grouping of three numbers in multiplication does not change the product, using at least two numerical examples.
Apply the associative property to simplify computations mentally, such as 8 + (12 + 25) or (4 × 15) × 5.
Use the associative property to solve a word problem involving addition or multiplication in a real-life context.

Sign in with your phone number to read the full note and download the GES plan - free.

Sign in with phone number

Curriculum details

Strand: Number (Strand 1)
Sub-strand: Number Operations (1.2)
Content standard: B9.1.2.1 - Apply mental mathematics and properties to determine answers for addition and subtraction of basic facts.
Indicator: B9.1.2.1.3 - Use the associative property of addition and multiplication.
Suggested placement: Term 1, Week 5 (Week 5 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. 168
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g1. Recognise that for any three numbers a, b and c;
i. a + (b + c) = (a + b) + c
or a + (b + c) = (a + c) + b i.e. 15 + (6 + 9) = (15 + 6) + 9 = 30
ii. (a × b) × c = a × (b × c) i.e. (12 × 5) × 4 = 12 × (5 × 4) = 240