Maths Standard Year 11 - Module 1 - Lesson 5

Building Formulas from Patterns and Tables

Practise identifying starting values, repeated changes, formulas and test values.

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1. Key Ideas

  • Identify the starting value when the input is 0.
  • Identify the repeated increase or decrease.
  • Test a formula against the table before trusting it.

2. Success Criteria

  • I can write a formula from a table or context.
  • I can define variables clearly.
  • I can explain when a linear formula is not suitable.

3. Short Answer Questions

1. A delivery cost table is shown. Write a formula for total cost $C$ for $k$ kilometres. 4 marks

k0123
C$10$13$16$19

2. A hire company charges $30 plus $8 per hour. Write a formula for total cost $C$ after $h$ hours and find the cost for 6 hours. 4 marks

3. The values 7, 11, 15, 19 match term numbers 1, 2, 3, 4. Write a formula and test it using term 4. 4 marks

4. Explain why outputs 5, 10, 20, 40 for inputs 1, 2, 3, 4 should not be modelled with a simple linear formula. 2 marks

4. Success Criteria Proof

Create your own fixed-charge plus repeated-rate context. Define variables, write a formula and test it with one value. 5 marks

HSCScience - Printable lesson worksheet - Maths Standard Year 11 - Module 1 - Lesson 5