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Exploring Quadratic Modelling: Understanding Parabolas in Real-Life Contexts

Dive into the world of quadratic modelling and explore the relationship between parabolas and their completed square equations. This journey will link key features of quadratic functions to real-life scenarios, enhancing your understanding of maths in practical contexts. We will analyze different representations including graphs, tables, and equations, and develop skills to connect these forms. Our aim is to deepen our understanding of motion through mathematics. Join us in uncovering the math behind a waterslide and other everyday examples!

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Exploring Quadratic Modelling: Understanding Parabolas in Real-Life Contexts

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  1. QUADRATIC MODELLING A journey into different representations

  2. Waterslide

  3. Where’s the maths?

  4. Herbert SimonFather of problem solving research “solving a problem simply means representing it so as to make the solution transparent.” WHAT DOES THIS MEAN IN RELATION TO THE ALGBERA WE HAVE BEEN STUDYING?

  5. AimS / SUCCESS CRITERIA • AIMS • To explore the relationship between parabolas and the completed square form of their equations  • To link key features of parabolas to ‘real life’ contexts • SUCCESS CRITERIA: • I can start from any representation (graph, table, equation) and connect it to the others • I can link the key features of quadratic relationships to a given contextto real life contexts

  6. Modelling motion

  7. ‘mathematising’what are x and y?

  8. Task one

  9. Task two

  10. REFLECTION • Key Ideas • Examples • Connections • Vocabulary • Learning to learn

  11. Waterslide

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