Number Operations · JHS1 Mathematics

Lesson notes

Learning Objectives

Indicator: B7.1.2.3.2 - Express a given number as a product of a given number or numbers, as well as, in the form of a power or two such numbers as product of powers

By the end of the lesson, learners can:

Express a given number as a product of repeated factors of a given number, using the long multiplication form (e.g., 32 = 2 × 2 × 2 × 2 × 2).
Write a repeated product in compact index form (e.g., 2 × 2 × 2 × 2 × 2 = 2⁵), reading and stating the base and exponent correctly.
Express a given number as a power of a given base when it is a perfect power of that base (e.g., express 81 as a power of 3).
Express a number such as 16 × 27 as a product of two powers: 2⁴ × 3³, by factorising each factor separately.
Identify the base and the exponent (index) in a power expression and explain what each represents in terms of repeated multiplication.

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Curriculum details

Strand: Number (Strand 1)
Sub-strand: Number Operations (1.2)
Content standard: B7.1.2.3 - Demonstrate understanding and the use of powers of natural numbers in solving problems.
Indicator: B7.1.2.3.2 - Express a given number as a product of a given number or numbers, as well as, in the form of a power or two such numbers as product of powers
Suggested placement: Term 1, Week 6 (Week 6 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. 13
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g. 1 i. 32 = 2×2×2×2×2 . = 2 5
ii. 81 = 3×3×3×3 = 3 4
iii. 49 = 7×7 = 7 2
iv. 16 × 27 = 2×2×2×2 × 3×3×3 = 2 4 × 3 3