Number Operations · JHS3 Mathematics

Lesson notes

Indicator: B9.1.2.1.2

By the end of the lesson, learners can:

State the commutative property of addition in words and symbols, for any two numbers a and b.
State the commutative property of multiplication in words and symbols, for any two numbers a and b.
Verify the commutative property by computing both sides of a + b and b + a, and a × b and b × a, for given pairs of numbers.
Use the commutative property to rearrange numbers mentally to make addition and multiplication easier to compute
Determine whether subtraction and division also obey the commutative property, and give counterexamples showing that they do not.

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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: B9.1.2.1.2 - Demonstrate the ability to determine commutative properties of addition and multiplication.
Suggested placement: Term 1, Week 4 (Week 4 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.
Source document note: The official curriculum document has a fault in this entry, so the curriculum text above is transcribed exactly as printed:

indicator text - p.168: the code is printed 'B.9.1.2.1.2', with a stop after the B; the content standard cell on the same page is printed 'B.9.1.2.1' the same way
Curriculum reference: Mathematics, Common Core Programme (JHS1-JHS3), 2023, p. 168
Transcribed from the official NaCCA publication. Check this page against the source.

E.g1. Recognise that for any two numbers a and b;
i. a + b = b + a i.e. 25 + 32 = 32 + 25 = 57
ii. a × b = b × a
i.e. 17 × 8 = 8 × 17 = 136