Maths Standard Year 11 - Module 1 - Lesson 7

Quadratic Formulas in Applied Contexts

Practise substituting into supplied formulas with squared terms and interpreting nonlinear outputs.

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1. Key Ideas

  • A squared term means a value multiplied by itself.
  • Quadratic models can grow faster than constant-rate models.
  • Round at the end unless told otherwise.

2. Success Criteria

  • I can substitute into a formula with a squared term.
  • I can compare outputs from an applied model.
  • I can interpret answers with suitable units.

3. Short Answer Questions

1. Use $D = 0.01v^2 + 0.3v$ to estimate stopping distance when $v = 50$ km/h. 3 marks

2. Use the same formula for $v = 70$ km/h. 3 marks

3. Compare the stopping distances at 40 km/h and 80 km/h. Explain the change. 4 marks

4. Use $A = s^2$ to find the area of a square with side length 8.5 m. 2 marks

5. Explain why $12^2$ is not the same as $2 \times 12$. 2 marks

HSCScience - Printable lesson worksheet - Maths Standard Year 11 - Module 1 - Lesson 7