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Mathematics

Maths Bootcamp

The pq formula can be memorised without it ever becoming clear what it is actually the solution to. This bootcamp therefore starts from the parabola: first see what a quadratic function does, then calculate. Six levels lead from recognising the parabola through standard form and vertex form to the pq formula, on to factorising with Vieta's theorem and finally to problems where the equation has to be set up first. Every level holds four exercises, many of them step by step, so a mistake shows up early rather than only in the final answer. A thrown ball, an area to optimise and a profit function close the course.

85 min

Total Duration

24

Activities

🧮

Year 9/10

Audience

Learning Objectives

  • Recognise parabolas from their equation and read off vertex and opening
  • Convert between standard form, vertex form and factored form
  • Solve quadratic equations with the pq formula and by factorising
  • Set up the right quadratic equation for a word problem yourself

Contents

Basics: recognising parabolas

15 min · Interactive

Converting forms

15 min · Interactive

The pq formula

15 min · Interactive

Factorising with Vieta

15 min · Interactive

Mix and match

15 min · Interactive

Word problems

10 min · Interactive