Without Panic Maths · Algebra 41

Quadratic Sequences Part 2

Use supplied quadratic rules, compare their structure and connect rules back to sequences

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Mini-lessons
10
Questions
132
Student Pack
87 pages
Suggested year
Year 9

What you get

  • Student Pack (PDF, 87 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

  • Sequences8 packs · £28 £25
  • Algebra, Year 913 packs · £42 £37
  • Algebra: complete strand48 packs · £161 £142

What this pack does

What pupils learn

Pack 40 taught you to recognise and continue quadratic sequences. Pack 41 moves to the other side of the story: using supplied quadratic position- to-term rules, seeing what each part changes and checking whether a rule really fits. The rules look busier; the plan underneath stays calm.

The mini-lessons

  1. Reconnect rule and sequence
  2. Shift the square pattern: n² + c
  3. Scale the squares: an²
  4. Scale then shift: an² + c
  5. A linear part joins: n² + bn
  6. Read a full quadratic rule: an² + bn + c
  7. Rule to sequence
  8. Choose the rule
  9. Same second difference, different rules
  10. Quadratic Rule Detective

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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