5. TODAY WE ARE GOING TO TALK ABOUT NETWORK GRAPHS. JOURNAL WRITE DOWN: “A NETWORK CONNECTS THINGS TOGETHER” e.g. COMPUTERS MUDDY CITY - NETWORKS

17. 117 1 MINUTE JOURNAL WRITE DOWN: 5. WRITE THE LIST OF NETWORKS ON THE BOARD (FOR FUTURE REFERENCE.)

18. GRAPH 6.A VISUAL REPRESENTATION OF A NETWORK IS CALLED A GRAPH. 118 RACHEL (Share) iPad Slide #3 2 MINUTES

19. I HAVE A MATHEMATICAL STORY PROBLEM FOR YOU. DON’T WRITE ANYTHING DOWN. DO IT ALL IN YOUR HEAD. SO LISTEN CLOSELY. MOSES iPad Slide #3 MUDDY CITY - NETWORKS

20. YOU’RE A PILOT OF A COMMUTER AIRLINE JET WHICH LEAVES PORTLAND AIRPORT WITH 100 PASSENGERS ON-BOARD. MOSES iPad Slide #3 MUDDY CITY - NETWORKS

21. IT LANDS IN SLC. 5 DEBARK, 10 EMBARK. (1) IT LANDS IN PHOENIX. 6 DEBARK, 8 EMBARK. (2) MOSES iPad Slide #3 MUDDY CITY - NETWORKS

22. IT LANDS IN ST. LOUIS 4 DEBARK, 4 DEBARK, 12 EMBARK. (3) IT LANDS IN ATLANTA. 2 DEBARK, 8 EMBARK. (4) MOSES iPad Slide #3 MUDDY CITY - NETWORKS

23. IT STOPS AT ITS FINAL DESTINATION IN MIAMI. (5) I HAVE 2 QUESTIONS: 1. WHAT IS THE NAME OF THE PILOT? 2. HOW MANY STOPS DID THE PLANE MAKE? (5) MOSES iPad Slide #3 MUDDY CITY - NETWORKS

24. MINIMIZE FUEL COST PER PASSENGER MAKES MULTIPLE STOPS TO PICK UP MORE PAYING PASSENGERS. *NOT SHORTEST ROUTE FOR PASSENGER! 124 RACHEL (Instruction) iPad Slide #4 4 MINUTES MOSES DRAWS

25. ROADS ARE ONE NETWORK TO CONSIDER. MOSES Jrnal iPad Slide #5 MUDDY CITY - NETWORKS JOURNAL WRITE DOWN: “A NETWORK WITH MINIMAL TOTAL LENGTH IS CALLED A MINIMAL SPANNING TREE” [3 PHONES]

26. REMOVE ENVELOPE CONTENTS 1.MAP OF MUDDY CITY 2.BAG OF M&Ms 3.BLANK PIECE OF PAPER 126 RACHEL (Story) iPad Slide 2 MINUTES ONCE UPON A TIME…

27. 127 RACHEL (Inquiry) iPad Slide 3 MINUTES ON A STICKY NOTE: WITH YOUR PARTNER, DESIGN ONE OR TWO APPROACHES YOU COULD USE TO CREATE THE MINIMAL SPANNING TREE.

28. 128 RACHEL (Inquiry) iPad Slide 1 MINUTES JOURNAL WRITE DOWN: WRITE DOWN THE DESIGN PLAN YOU AGREED UPON. MAKE SURE THAT EVERY HOUSE CAN BE REACHED BY A ROAD!

29. FIST TO 5 DO YOU UNDERSTAND YOUR ASSIGNMENT? MOSES (0-5) iPad Slide #5 0 FIST = DON’T UNDERSTAND 1 – 4 = KIND OF, TO PRETTY SURE 5 = FULLY UNDERSTAND

30. 10 MINUTES GO TO WORK MOSES (0-5) iPad Slide #5 VISIT ANY TABLES WITHOUT 5s

31. 131 RACHEL (Share) iPad Slide 1 MINUTE JOURNAL WRITE DOWN: 1.HOW MANY M&Ms DID USE? 2.HOW MANY ROADS DO YOU HAVE?

32. 132 RACHEL (Extension) iPad Slide 10 MINUTES EXTENSION ACTIVITY: NOTE: THE NUMBER WRITTEN ON EACH BLANK PAPER IS THE NUMBER OF HOUSES YOU WILL HAVE IN YOUR CITY.

33. 133 RACHEL (Extension) iPad Slide 1.DRAW SIMPLE HOUSES. 2.DESIGN A MINIMAL SPANNING TREE FOR YOUR CITY. 3.MAKE SURE THAT EVERY HOUSE CAN BE REACHED BY A ROAD.

34. 134 RACHEL (Share) iPad Slide 1 MINUTE JOURNAL: WRITE DOWN: 1.HOW MANY HOUSES YOU HAD? 2.HOW MANY ROADS DO YOU NEED?

35. 135 RACHEL (Share) iPad Slide 1 MINUTE ON A STICKY NOTE: 1.ADD ALL HOUSES AT YOUR TABLE 2.ADD UP ALL ROADS AT TABLE.

36. RAPID-FIRE AS GORDON POINTS TO YOUR TABLE AS GORDON POINTS TO YOUR TABLE SHOUT- OUT 1. NUMBER OF HOUSES 2. NUMBER OF ROADS. 136 RACHEL (Share) Type iPad Slide #2 1 MINUTES

37. 137 RACHEL (Share) iPad Slide 2 MINUTES JOURNAL WRITE DOWN: THE RELATIONSHIP BETWEEN THE NUMBER OF HOUSES AND THE NUMBER OF ROADS. USING THE DATA ON THE BOARD: 46 min

38. NEXT TIME: 138 NEXT TIME: WE WILL LOOK AT OTHER TYPES OF NETWORKS