1. Write a differential equation to represent this. Key word RATE
Write a differential equation to represent this. Key word RATE. Support- d…./dt = ……….. Fill in the blanks.
These slides create great discussion points and introduce rates of change painlessly! Challenge by asking how height varies with time.

2. Write a differential equation to represent this.

3. Write a differential equation to represent this.

4. Write a differential equation to represent this. Key word PROPORTIONAL
Write a differential equation to represent this. Key word PROPORTIONAL. They will need to think back to GCSE.

5. Write a differential equation to represent this. Speed = rate of change.

6. The rate at which a particle decays is proportional to the number of particles.
Write a differential equation to represent this.

7. A population is growing at a rate which is proportional to the size of the population.
Write a differential equation to represent this.

8. Newton’s Law of Cooling
The rate of loss of temperature of a body is proportional to the excess temperature of the body over its surroundings
Write a differential equation to represent this.

9. Find the volume and surface area

10. Find the volume and surface area

11. Find the volume and surface area

12. Find the volume and surface area

13. Make up a question to go with this picture

14. Make up a question to go with this picture

15. Make up your own rate questions and illustrate them.