Cambridge Lower Secondary Mathematics (1112)
Stage 8 – Enhanced Scheme of Work for Chapter 1: Integers
Total Duration: 12–15 hours
Strand: Number
Unit Overview
This unit helps students build deeper understanding of integers, factors, multiples, prime numbers, integer operations, powers, and roots. It includes
conceptual and practical approaches, along with scaffolded activities and digital resources.
Learning Objectives (Curriculum Framework Links)
Code
Objective
8Nc.02
Recognise and use multiples, factors (divisors), common factors and common multiples.
8Nc.03
Recognise and use prime numbers and prime factorisation, including expressing numbers as a product of prime factors.
8Nc.04
Find the highest common factor (HCF) and lowest common multiple (LCM) using prime factors.
8Nb.01 Multiply and divide positive and negative integers.
8Nb.02 Use the rules for multiplying and dividing integers in real-life contexts.
8Nb.04 Recognise and use square numbers, cube numbers, square roots and cube roots.
8Nb.05 Estimate and use square and cube roots, including non-square and non-cube numbers.
8Nb.06 Use and interpret index notation.
Vocabulary
prime, composite, factor, multiple, HCF, LCM, square, cube, root, power, exponent, base, index, positive, negative
Breakdown by Sub-topic
1.1 Prime Numbers and Factors (3–4 hours)
Examples:

Prime factorisation of 36 = 2² × 3²

HCF of 12 and 18 using factor trees → HCF = 6
Activities:

Build factor trees using coloured cards

Venn diagram of prime factors for HCF/LCM
YouTube Videos:

Math Antics – Prime Factorisation

Finding HCF

Finding LCM
1.2 Multiplying and Dividing Integers (3 hours)
Examples:

(-4) × (-3) = 12, (-12) ÷ 3 = -4
Activities:

Number line jumps with signs

Integer Bingo and loop card challenge

Word problems (bank balances, temperature)
YouTube Videos:



Adding and Subtracting Integers
Multiplying and Dividing Integers
Word Problems on Temperature
1.3 Squares, Cubes, and Roots (3 hours)
Examples:

√64 = 8, 2³ = 8, ∛27 = 3
Activities:

Estimate roots with number lines

“Mystery Root” challenge

Visual cube building with unit blocks
YouTube Videos:
Squares & Square roots
1.4 Powers and Indices (3–4 hours)
Examples:

2⁴ = 16, 10³ = 1000

Index Laws: a² × a³ = a⁵, (a²)³ = a⁶
Activities:

Powers poster with examples

Fill-the-table powers game

Match index laws to worked examples
YouTube Videos:

Indices

Index Laws – LearnCoach
Assessment Opportunities

Sub-topic quizzes and exit slips

Peer-made question sets

Mini whiteboard practice

Real-life problem-solving review worksheet
Differentiation

Use colour-coded tables and charts

Step-by-step guides for rules and roots

Support groups and peer explanation

Extension tasks: multi-step expressions and patterns
Homework Ideas

Quizizz or Kahoot on primes, roots, and powers

Flashcard creation for square and cube numbers

Create a comic or video explaining integer rules
Cross-Curricular Links

Science – Square and cube relationships in physics

ICT – Online prime checkers, root calculators

Geography – Temperature and elevation using integers

Economics – Profits and losses with negative numbers
Teacher Reflection

Were key number concepts reinforced effectively?

Did the variety of activities cater to all learning needs?

What misconceptions remained?

How did students apply skills to real-life examples?