Without Panic Maths · Number 28

Order of Operations

Brackets, powers, ×, ÷, +, −, left to right, negatives and fraction bars

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Mini-lessons
13
Questions
162
Student Pack
123 pages
Suggested year
Year 7

What you get

  • Student Pack (PDF, 123 pages)
  • Teacher Pack (PDF) with every answer and reteach cards
  • Print as many copies as you need for your own pupils

Save with a bundle

  • Calculation Methods8 packs · £28 £25
  • Number, Year 722 packs · £73.50 £65
  • Number: complete strand54 packs · £182 £161

What this pack does

What pupils learn

When a calculation has more than one operation, everyone needs to do them in the same order so we all get the same answer. Brackets first, then powers and roots, then × and ÷, then + and −. Write one step per line.

The mini-lessons

  1. Why order matters
  2. Brackets first
  3. Powers and roots before multiplication/division
  4. Multiplication and division before addition and subtraction
  5. Same-level operations go left to right
  6. Two-step order of operations
  7. Three-step calculations
  8. Calculator checks and brackets
  9. Order of Operations with Negative Numbers
  10. Squaring Negative Numbers: (−3)² and −3²
  11. Fraction Bars and Halves in Calculations
  12. Mistake Detective with order of operations
  13. Mixed order of operations reasoning

Inside every pack

What each part of the page is for

  1. Confidence check

    Pupils tick how a topic feels before they start, and again at the end. There are no marks, so it's an honest picture of where they are.

  2. Short mini-lessons

    Each topic is split into small steps. Every mini-lesson opens with one big idea and a short, plain-English explanation.

  3. Visuals for every idea

    Diagrams such as a formula 'rule machine' or a place-value picture show the maths, so pupils can see it as well as read it.

  4. Worked examples

    Every method is modelled step by step before pupils try it, with each stage labelled so they can follow it on their own.

  5. Scaffolded practice

    Questions start with prompts (what do you need to find, follow the example, check it makes sense) and gradually ask for more independence.

  6. Spot the trap

    Common mistakes are named before pupils make them, and Mistake Detective questions ask them to find and fix errors.

  7. Pause and think

    Short 'explain it in your own words' prompts check that pupils understand why the maths works, not just how.

  8. Teacher Pack with answers

    Every pack comes with a Teacher Pack: all the answers, plus reteach cards saying what to watch for, what to say, and what to try if a pupil is still stuck.

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Number 1 · Year 7

Place Value

Whole numbers, digit value, partitioning and zero as a placeholder

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Number 2 · Year 7

Comparing and Ordering

Comparing means deciding whether numbers are greater than, less than or equal to each other. Ordering means arranging numbers from smallest to largest or from largest to smallest.

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