2. 2

3.  Explore the challenge of algebra  Get comfortable with programming  Work through the entire curriculum  Discuss pedagogy  At the end: discuss integration 3

4. Theory Overview Practice Pedagogy 4

5. 5

6. A train leaves Chicago at 6pm, traveling East at 70mph…

7. xF(x) -524 -38 -23 f(x) = x+2 object 6 = x +2 6 = ☐ +2 ☐ = 4+2 process process 7

8. f(x) = x 2 - 1 8

10. 10

11. (1/x)*x = 1 x = 10 x = x+2 x = 10 x = x+2 foo = 0 function f(x){ return foo++ } foo = 0 function f(x){ return foo++ } 11

12. Theory Overview Practice Pedagogy 12

13.  >70% below the poverty line  >70% self-report as African-American or Latino Grades 6-7: First Exposure to Algebra Grades 8-10: Algebra Enrichment Grades 11-12: Algebra Remediation 13

14.  Software: In the cloud, or on your machine.  Lesson Plans: Detailed[*] curricula, student handouts, integrated workbooks, and supplemental activities.  Standards: All lessons are aligned to Common Core Standards for Mathematics.  Language: Algebraic semantics, simple syntax, rich media and integrated testing 14

15.  Brainstorming, and Circles of Evaluation  Datatypes, Domain &Range * 2 3 9 / = f(9, g(2, 3)) 15

16.  Brainstorming, and Circles of Evaluation  Datatypes, Domain &Range  Defining Functions  Animating your Game height : Number -> Number height(1)7 * 1 height(2)7 * 2 height(3)7 * 3 height(t) = 7 * t 16

17. 17  Brainstorming, and Circles of Evaluation  Datatypes, Domain &Range  Defining Functions  Animating your Game  Booleans and Inequalities  Piecewise Functions 0 < f(x) < 640

18.  Brainstorming, and Circles of Evaluation  Datatypes, Domain &Range  Defining Functions  Animating your Game  Booleans and Inequalities  Piecewise Functions  Pythagorean Theorem  Game Release Party! 18

19. Introduction Theory Practice Pedagogy 19

20. Physical Materials (workbooks, pens, etc) One computer for each pair of students Gmail Account (per-class? per-pair?) Log into www.WeScheme.org (IE9+, FF, Chrome)www.WeScheme.org Go to www.BootstrapWorld.org/materialswww.BootstrapWorld.org/materials 20

22. Dogx-coordinate 22 positionmoves to the left

23. In Space Astronaut Squirrel Candy Alien Shark! 23

24.  In www.WeScheme.org…www.WeScheme.org  Start a New Program  About the Editor…  Let there be Numbers! 24

25. - 10 8 / 6 2 - 8 8 - (- ) (- 10 ) (- 10 8) (/ 6 ) (/ 6 ( ) ) (/ 6 (- 10 8) ) 25

27. + 12 * 37 - - + 12 3 - 3 * 56 + 1 (- ) + 12 * 37 (- 3 (+ 1 2) ) (- 3 (+ 1 (* 5 6) ) ) (+ 1 2)(* 3 7) (3 * 7) – (1 + 2) 27

28. :  ; MrCoffee: Beans Water  Coffee ; + : Number Number  Number ; - :Number Number  Number ; sqrt :Number  Number ; sqr:Number  Number Can you fill out the contracts for +, -, *, and / ? 28

29. One of these things is not like the other…  12 -53 “hello” 4.9 A String is anything with quotes around it: “hello!”, “Houston” and “42” are all strings. How would you convert this to code? 50 “solid” “red” star (star 50 “solid” “red”) 29

30. ; circle :Number String String  Image ; ellipse:Number Number String String  Image ; triangle: Number String String  Image ; rectangle: Number Number String String  Image ; text:String Number String  Image ; rotate :Number Image  Image ; scale:Number Image  Image …and dozens more! 30

32.  Open the “Game Template” link from the teachers-only page, and Run  What do you think the code on line 5 does? Line 6?  What will happen if I evaluate TITLE in the Interactions window?  How could we change the title of our game?  Click “Save”, and name your file  What other definitions do you see?  Playing with SCREENSHOT…  Make your images!!! 32

33. (triangle “solid” “green”) I just loooove green triangles…. Write a function ‘gt’, which takes in a number and gives back a solid, green triangle of the given size. radius size gtNumber Image gt (triangle 10 “solid” “green”) 10 gt (triangle 11 “solid” “green”) 11 gt size 33

34. (circle “solid” “blue”) Confession: I lied. I actually prefer blue circles! Write a function ‘bc’, which takes in a number and gives back a solid, blue circle of the given radius. radius bcNumber Image bc (circle 16 “solid” “blue”) 16 bc (circle 99 “solid” “blue”) 99 bc radius 34

36. rocket-height Number Given the number of seconds, how high is a rocket, traveling at 7m/s? rocket-height 15 105 (* 7 15) (* 7 289)rocket-height 289 36 radius seconds

37.  Can you make the rocket fly faster? Slower?  Can you make it fly backwards?  Can you make it fly faster over time?  Connecting to word problems….  “A university has ten times as many students as professors. Write a function p(s), which describes the number of professors as a function of the number of students.” 37

39.  Go back to your saved videogame file  Complete update-target and update-danger 39

41.  A game of True or False…  Evaluate the following 3 pieces of code: (+ 1 4) (* 7 5) (< 3 4)  Try using other Boolean functions  There’s also string=?  Introducing Sam the Butterfly…  Complete page 19 41

42.  Let’s have a volunteer… safe-left?Number Boolean safe-left? (> -100 -50) -100 (> 320 -50) 320 safe-left? x x x x x x x x Given an x-coordinate, check if it is greater than -50 42

43.  Complete safe-right? and change onscreen? so it uses safe-right? instead  How can onscreen? use both functions?  Copy the safe-left?, safe-right? and onscreen code into the game template! 43

45.  What does (cost “cheese”) evaluate to?  What will happen for (cost “onion”)?  What is this function doing?  Add “mushroom” to the menu, for $11.99  Change the code to add your favorite topping!  Change the code to charge customers $1000.00 for anything not on the menu

46. 10.50 9.00 11.25 10.25 cost String Number cost “pepperoni” cost “cheese” 10.50 9.00 cost “chicken”11.25 cost “broccoli”10.25 costtopping 46 (string=? topping “pepperoni”) (string=? topping “cheese”) (string=? topping “chicken”) (string=? topping “broccoli”) cond price topping

47. update-player Number String Number update-player 320 “up” update-player 100 “up” (+ 320 20) (+ 100 20) update-player 320 “down”(- 320 20) update-player 100 “down”(- 100 20) update-playery key 47 (string=? key “up”) (string=? key “down”) else cond (+ y 20) (- y 20) y operation y y y y key

49.  Share your programs!  Use the “tilt” teachpack to support phones/tablets  Add data structures to support 2d motion and graphing  Building on what you know…all the way to collegeall the way to college 49

51. Transferable Skills Circles of Evaluation Design Recipe Rocket-Height Target/Danger Motion Sam the Butterfly Luigi’s Pizza Player Motion Collision Detection 51

52. Transferable Skills Circles of Evaluation Design Recipe Rocket-Height Target/Danger Motion Sam the Butterfly Luigi’s Pizza Player Motion Collision Detection 52

53.  You’ll need access to a computer lab  You’ll need Google accounts  Join our Google Group for questions and answers  Figure out your integration plan 53