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#92

Sketching quadratic graphs

Algebra · Grade 4–6

Strand: Algebra Substrand: Non-linear graphs Sparx code: U310 Sparx levels: 3

Key steps (method)

  • Write down the given information and what you are asked to find for Sketching quadratic graphs.
  • Choose a representation that fits the topic (diagram / table / algebra / graph) and set it up neatly.
  • Apply the topic rule(s) step-by-step, showing enough working to keep method marks.
  • Substitute values carefully (watch brackets, negatives, and order).
  • Write the final answer clearly with correct units/rounding.
  • Do a quick check that the answer is sensible for the context.

Common mistakes

  • Using the right idea but the wrong rule/interpretation for the topic.
  • Skipping key working so method marks can’t be awarded.
  • Sign/bracket errors when substituting or rearranging.
  • Rounding too early or to the wrong accuracy.
  • Not checking whether the answer is reasonable.

Quick notes

  • If you get stuck, try a simpler version of the problem first or plug in easy numbers to test your method.
  • For multi-step questions, label each step and keep intermediate results.
  • For exam questions, always aim to make your work “mark-scheme readable”.

Self-assessment

  • Can I define it? Write a one-sentence definition of Sketching quadratic graphs (or the key term in the question).
  • Can I do it? Do 3 questions: one easy, one standard, one harder. Don’t look at notes until you’ve tried.
  • Can I explain it? In 2–3 sentences, explain why the method works (or what would go wrong with a common mistake).
  • Can I check it? State one quick check (estimate, units, sign, reasonableness).

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