Maths Standard Year 11 - Module 1 - Lesson 10

Gradient as Rate of Change

Practise calculating gradient from changes and interpreting it with context units.

Name
Date
Class

1. Key Ideas

  • Gradient = change in output divided by change in input.
  • Gradient is interpreted as a rate of change.
  • Positive, negative and zero gradients have different meanings.

2. Success Criteria

  • I can calculate gradient from two values or points.
  • I can attach correct units to a gradient.
  • I can interpret increasing, decreasing and constant situations.

3. Short Answer Questions

1. A savings balance increases from $120 to $210 over 6 weeks. Find and interpret the gradient. 3 marks

2. A tank fills from 20 L to 95 L in 5 minutes. Find the gradient and interpret it. 3 marks

3. A car travels from 30 km at 0.5 h to 150 km at 2.5 h. Find the average speed. 3 marks

4. A bank balance changes from $500 to $380 over 4 weeks. Find and interpret the gradient. 3 marks

5. Explain what a zero gradient means for a temperature graph. 2 marks

HSCScience - Printable lesson worksheet - Maths Standard Year 11 - Module 1 - Lesson 10