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Mathematics · Year 7 · Unit 1

Number, Computation & Indices

A Stage 4 learning sequence for integers, fractions, decimals, percentages, ratios, primes, roots and index laws.

20lessons
5assessments
8-12hstudy
Start Lesson 1 →
Number Foundations
1
Place Value and Whole Numbers
Reading, writing and comparing numbers up to millions
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2
Understanding Integers
Positive and negative numbers on the number line
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3
Adding and Subtracting Integers
Rules and strategies for integer operations
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4
Multiplying and Dividing Integers
Sign rules and real-world applications
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5
Order of Operations
BODMAS, brackets, indices, and common mistakes
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Q1
Checkpoint 1, Number Foundations
Covers Lessons 1–5
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Fractions & Decimals
6
Understanding Fractions
Parts of a whole, proper, improper and mixed numbers
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7
Equivalent Fractions and Simplifying
Creating and reducing fractions to lowest terms
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8
Adding and Subtracting Fractions
Common denominators and mixed number operations
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9
Multiplying and Dividing Fractions
Fraction × fraction, fraction × whole, and cancelling
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10
Decimals: Place Value and Rounding
Decimal place value, comparison, recurring decimals and rounding
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Q2
Checkpoint 2, Fractions & Decimals
Covers Lessons 6–10
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Percentages & Real-World Maths
11
Operations with Decimals
Adding, subtracting, multiplying and dividing decimals
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12
Ratios and Rates
Comparing quantities, dividing in a ratio and unit rates
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13
Percentages
Converting forms, finding percentages and percentage change
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14
Rates and Unit Rates
Speed, price per unit, fair comparisons and constant-rate problems
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15
Unit 1 Review
Mixed practice across whole numbers, fractions, decimals, percentages and ratios
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Q3
Checkpoint 3, Percentages & Applications
Covers Lessons 11–15
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Indices
16
Primes, Divisibility and Factorisation
Divisibility tests and prime-factor index notation
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17
Index Notation and Powers of 10
Positive integer indices, place value and calculation order
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18
Square Roots and Cube Roots
Perfect roots, estimation and inverse operations
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19
Index Laws with Positive Indices
Product, quotient and power-of-a-power laws
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20
Zero Index and Indices Synthesis
Establishing the zero-index law and mixed applications
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Q4
Checkpoint 4, Indices
Covers Lessons 16–20
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QZ
Sequence Quiz, Number, Computation & Indices
Comprehensive assessment covering all 20 lessons
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Unit Snapshot

20lessons
4checkpoints
1unit quiz
4topics

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Work through the lessons in order, each one builds on the last.

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