Math PS Graphing Calculator

1. Math PS Graphing Calculator 2013Term 1 Week 7

2. What you will be doing in this course…

3. Outline of course

4. Introduction Familiarize yourself with the graphing calculators and its features

5. Cheat Sheet

6. Cheat Sheet

7. Cheat Sheet

8. Cheat Sheet

9. End Products

10. Basic Skill: Reset RAM Press “2 ND” “+”712

11. Basic Skill: Correct Mode Press the ‘MODE’ button

12. Windows Dimension Press ‘WINDOW’ button Select Maximum and Minimum x- and y- values

13. Y= Key Press the ‘Y=’ button Write functions to create pictures Use your mathematical knowledge You can use up to 10 equations on the ‘Y=’ screen

14. Restricting domain Sometimes you may only require to graph a portion of the domain E.g. The function is y=x2 – 5 but it is only graphed for x≥1

15. Restricting domain Function Domain Type in the function in the parentheses, and divide the function by the restriction in the parentheses E.g. y=(x2 – 5)/{x≥1} The ≥ and ≤ symbols are found by hitting ‘2nd’ + ‘MATH’

16. GC Individual Ex. 1 McDonald’s Sign

17. How many curves do you need? 4 Curves

18. y 4 x −2 0 Step 1 - Equations 0 What is the equation of this curve? y = - (x+2)2 + 8

19. Step 1 - Equations Find the equations & domains of ALL 4 curves and draw your McDonald’s sign To help you, here are the WINDOW setting:

20. GC Ex. 1 Solution

21. Step 2 - Turn off the axis ‘2nd’ + ‘ZOOM’ (‘FORMAT’)

22. Step 3 - Shading ‘2nd’ + ‘PRGM’ (‘DRAW’) 7: Shade(Y3 ,Y1) Y1: bottom Y equation, Y3: top Y equation Press ‘VARS’, move to ‘Y-VARS’ menu Press 1: Function Choose the equation

24. Step 4: Enter text ‘2nd’ + ‘PGRM’ (‘Draw’) 0: TEXT (ALPHA followed by letters)

25. Step 5: Storing picture ‘2nd’ + ‘PGRM’ (‘DRAW’) Use the arrow key to move to ‘STO’ menu 1: StorePic Key in a number from 1 to 9 Press Enter

26. Step 6: Recalling picture ‘2nd’ + ‘PRGM’ (‘DRAW’) Use the arrow key to move to ‘STO’ menu 2: RecallPic Key in the number where you store it Press Enter

27. Final product

28. GC Ex 2 Try it on your own…

29. Tips • To restrict domain on both sides • Use the ‘and’ function • ‘2nd’ + ‘MATH’ (‘TEST’) • Use your arrow key to move to ‘LOGIC’ menu • 1: and • E.g. -(X + 2)2 + 8/(X≥0) and (X≤10)

30. Tips To draw the Sun Equation of the circle: X2 + Y2 = r2

31. Drawing a straight vertical line Vertical lines cannot be graphed in function mode However, a very steep line can be produced What is y=x? Now, what is y=50x? …

32. GC Ex 2 - Tips Either use circle formula (make y the subject) or use 2 quadratic curves Use a large gradient (i.e. m>94) Set 2 domains Trigo Function Try it on your own…

33. Polar Coordinates in GC Or “How to draw a batman logo or a butterfly with a single equation in GC?”

34. Polar Coordinates To set your graphic calculator to Polar Coordinates… Mode > POL > [Enter]

35. Polar Coordinates You have now changed Cartesian coordinates to Polar coordinates. Press and you will see that y is no longer the subject but r. Explore the following curves using the GC…

36. r =sin θ

37. r = SQRT[4cos2θ](leminscate)

38. r = 2sin3θ

39. r = cos(sin(tan(θ)))Batman-like Logo

40. r = tan (tan(θ)))Butterfly-like Figure More at the sabbatical website…

41. Past year winning entries(Theme: Space)

42. Appendix: Functions

43. Appendix: Functions

44. Appendix: Functions