Without Panic Maths · Algebra 36

Sequences 2: Position-to-Term Rules

Use the term number as the input, read simple algebraic rules and jump straight to any term

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

What you get

  • Student Pack (PDF, 92 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 716 packs · £52.50 £46
  • Algebra: complete strand48 packs · £161 £142

What this pack does

What pupils learn

This pack bridges term-to-term thinking into position-to-term rules. Pupils separate term number from term value, use n as the position, evaluate rules such as 4n, 3n + 2 and 5n − 1, complete tables, find later terms and test whether a rule matches a sequence. It deliberately stops before teaching the full method for deriving an nth term. 1 - Sequences 2 - Position-to-Term Rules Without Panic | Student Pack

The mini-lessons

  1. Term number and term value are different jobs
  2. Use the term number as the input
  3. Position rules that multiply
  4. Read and use rules such as 6n
  5. Multiply, then add a fixed amount
  6. Multiply, then subtract a fixed amount
  7. Fill a position-to-term table
  8. Jump straight to a later term
  9. Match a sequence to its position rule
  10. Mistake Detective: keep n in the right job

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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