1. Edit the text with your own short phrase. Move the sparkles as you like. The animation is already done for you; just copy and paste the slide into your existing presentation. Note: This animation looks best on a dark background.

2. Edit the text with your own short phrase. Move the sparkles as you like. The animation is already done for you; just copy and paste the slide into your existing presentation. Note: This animation looks best on a dark background.

3. Edit the text with your own short phrase. Move the sparkles as you like. The animation is already done for you; just copy and paste the slide into your existing presentation. Note: This animation looks best on a dark background.

4. Edit the text with your own short phrase. Move the sparkles as you like. The animation is already done for you; just copy and paste the slide into your existing presentation. Note: This animation looks best on a dark background. Push your friend so that his/her speed changes Try to measure their speed at any single point

5. Edit the text with your own short phrase. Move the sparkles as you like. The animation is already done for you; just copy and paste the slide into your existing presentation. Note: This animation looks best on a dark background.

6. Edit the text with your own short phrase. Move the sparkles as you like. The animation is already done for you; just copy and paste the slide into your existing presentation. Note: This animation looks best on a dark background. Create your own paper dart. Which one is the ‘best’ design?

7. Edit the text with your own short phrase. Move the sparkles as you like. The animation is already done for you; just copy and paste the slide into your existing presentation. Note: This animation looks best on a dark background. Model the flight path on a 2D co-ordinate plane. What are your variables? What is your graph telling us?

8. Edit the text with your own short phrase. Move the sparkles as you like. The animation is already done for you; just copy and paste the slide into your existing presentation. Note: This animation looks best on a dark background. What is a tangent line? What are these lines telling us?

9. Edit the text with your own short phrase. Move the sparkles as you like. The animation is already done for you; just copy and paste the slide into your existing presentation. Note: This animation looks best on a dark background.

10. Edit the text with your own short phrase. Move the sparkles as you like. The animation is already done for you; just copy and paste the slide into your existing presentation. Note: This animation looks best on a dark background.

12. Calculus is a branch of mathematics that deals with finding and interpreting the gradients (slopes) of lines and curves

13. The following graph shows f(x) = x + 1 or y = x + 1 To read the value of f(1), find 1 on the x-axis (1, f(1))

14. The following graph shows f(x) = −(x−2) 4 +3 or y = −(x−2) 4 +3 To read the value of x, where f(x) = 2; find 2 on the y axis (1, f(1)) and (3, f(3))

15. A (4, f(4)) D (1,f(1)) Length AD = f(4) – f(1) = 5 – 2 = 3 units f(4) – f(1) is called the growth function as x changes from 1 to 4

16. In calculus the points can be labelled (x, f(x)) and (x + h, f(x) + h)) f(x) x x + h x (x, f(x)) (x + h, f(x + h)) The growth function as x changes from x to x + h is given by f(x + h) – f(x)

17. Find the growth of the function f(x) = 3x as ‘x’ changes from x to x + 4 Growth = f(x + 4) – f(x) = 3(x + 4) – 3x = 3x + 12 – 3x = 12

18. Find the growth of the function f(x) = -6x +1 as ‘x’ changes from x to x + h Growth = f (x + h) – f(x) = (-6(x + h) + 1) – (-6x + 1) = -6x -6h + 1 + 6x -1 = -6h

19. Edit the text with your own short phrase. Move the sparkles as you like. The animation is already done for you; just copy and paste the slide into your existing presentation. Note: This animation looks best on a dark background. In your course book