Without Panic Maths · Algebra 32

Function Machines 1: One-Step and Two-Step Machines

Follow inputs through clear operation boxes and keep every middle step visible

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Mini-lessons
10
Questions
132
Student Pack
110 pages
Suggested year
Year 7

What you get

  • Student Pack (PDF, 110 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

  • Function Machines3 packs · £10.50 £9
  • Algebra, Year 716 packs · £52.50 £46
  • Algebra: complete strand48 packs · £161 £142

What this pack does

What pupils learn

This pack introduces function machines from the ground up. Pupils identify inputs, operations and outputs, complete one-step and two- step machines, preserve operation order, use zero and negative inputs and build and audit machines from words.

The mini-lessons

  1. Input, operation and output
  2. One-step addition machines
  3. One-step subtraction machines
  4. One-step multiplication machines
  5. One-step division machines
  6. Two steps: multiply, then add
  7. Two steps: add, then multiply
  8. Order matters in two-step machines
  9. Use zero and negative inputs
  10. Build and audit a machine

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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