Maths · Pioneers 11–15 · Year 8

Algebra: expressions, equations and sequences

Can a letter really stand for any number?

1. Discover

   Think first: Can a letter really stand for any number? Say or jot one idea before you read on.

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2. Learn — core route

   • Algebra tiles for expanding
   • Balance-scale equations
   • Sequence pattern-to-rule with matchsticks

   Lessons in this subject: Learn Topics · Maths

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3. Practise — check a common mix-up

   3(x + 2) = 3x + 2

   TrueFalse

   The nth term of 5, 8, 11… is n + 3.

   TrueFalse
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4. Apply / Create — Phone-Plan Modelling

   Model three mobile plans as y = mx + c, graph them, find break-even points algebraically and recommend a plan for two different users.

   Evidence type: written report · accessible alternative always allowed (speak it, draw it, or show an adult).

   How it is judged (rubric)

   • Beginning: Writes one expression
   • Developing: Graphs two plans
   • Secure: Three models, break-even solved algebraically, justified recommendation
   • Extending: Tests assumptions and extends to a fourth scenario

5. Explain — say what you did

   My level ChooseBeginningDevelopingSecureExtendingSave to my portfolio

6. Review later

   We'll offer a quick memory check in 7, 21 and 45 days. Mark this done and your Today page will remind you gently.

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