Networks MUDDY CITY 1 1 MUDDY CITY - NETWORKS MOSES Jrnal iPad Slide #1 TODAY WE ARE GOING TO TALK ABOUT NETWORK GRAPHS. 15 SEC WHAT IS A NETWORK? JOURNAL WRITE DOWN: “A NETWORK CONNECTS THINGS TOGETHER” e.g. COMPUTERS ON A STICKY NOTE: 1. 1 MINUTE MAKE A LIST OF NETWORKS YOU COULD FIND IN A CITY RACHEL (Think) iPad Slide #2 1 3 1 MINUTE WITH YOUR ELBOW-PARTNER: 2. COMBINE YOUR LISTS ONTO A SINGLE STICKY NOTE. 3. AND THEN PICK ONE FAVORITE NETWORK. RACHEL (Pair) iPad Slide #2 1 4 3 MINUTES RAPID-FIRE 4. AS GORDON POINTS TO YOUR PAIR SHOUT- OUT YOUR NETWORK CHOICE. RACHEL (Share) Type iPad Slide #2 1 5 1 MINUTE JOURNAL WRITE DOWN: 5. WRITE THE LIST OF NETWORKS ON THE BOARD (FOR FUTURE REFERENCE.) RACHEL (Share) Jrnal iPad Slide #2 1 6 2 MINUTES GRAPH 6. A VISUAL REPRESENTATION OF A NETWORK IS CALLED A GRAPH. RACHEL (Share) iPad Slide #3 1 7 MUDDY CITY - NETWORKS MOSES iPad Slide #3 I HAVE A MATHEMATICAL STORY PROBLEM FOR YOU. DON’T WRITE ANYTHING DOWN. DO IT ALL IN YOUR HEAD. SO LISTEN CLOSELY. MUDDY CITY - NETWORKS 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 MOSES iPad Slide #3 IT LANDS IN SLC. 5 DEBARK, 10 EMBARK. (1) IT LANDS IN PHOENIX. 6 DEBARK, 8 EMBARK. (2) MUDDY CITY - NETWORKS MOSES iPad Slide #3 IT LANDS IN ST. LOUIS 4 DEBARK, 12 EMBARK. (3) IT LANDS IN ATLANTA. 2 DEBARK, 8 EMBARK. (4) MUDDY CITY - NETWORKS MOSES iPad Slide #3 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) 4 MINUTES MINIMIZE FUEL COST PER PASSENGER MAKES MULTIPLE STOPS TO PICK UP MORE PAYING PASSENGERS. *NOT SHORTEST ROUTE FOR PASSENGER! MOSES DRAWS RACHEL (Instruction) iPad Slide #4 1 13 MUDDY CITY - NETWORKS MOSES Jrnal iPad Slide #5 ROADS ARE ONE NETWORK TO CONSIDER. JOURNAL WRITE DOWN: “A NETWORK WITH MINIMAL TOTAL LENGTH IS CALLED A MINIMAL SPANNING TREE” [3 PHONES] 2 MINUTES REMOVE ENVELOPE CONTENTS 1. MAP OF MUDDY CITY 2. BAG OF M&Ms 3. BLANK PIECE OF PATER ONCE UPON A TIME… RACHEL (Story) iPad Slide 1 15 3 MINUTES ON A STICKY NOTE: WITH YOUR PARTNER, DESIGN ONE OR TWO APPROACHES YOU COULD USE TO CREATE THE MINIMAL SPANNING TREE. RACHEL (Inquiry) iPad Slide 1 16 1 MINUTES JOURNAL WRITE DOWN: WRITE DOWN THE DESIGN PLAN YOU AGREED UPON. MAKE SURE THAT EVERY HOUSE CAN BE REACHED BY A ROAD! RACHEL (Inquiry) iPad Slide 1 17 MOSES (0-5) iPad Slide #5 FIST TO 5 DO YOU UNDERSTAND YOUR ASSIGNMENT? 0 FIST = DON’T UNDERSTAND 1 – 4 = KIND OF, TO PRETTY SURE 5 = FULLY UNDERSTAND 10 MINUTES MOSES (0-5) iPad Slide #5 GO TO WORK VISIT ANY TABLES WITHOUT 5s 1 MINUTE JOURNAL WRITE DOWN: 1. HOW MANY M&Ms DID USE? 2. HOW MANY ROADS DO YOU HAVE? RACHEL (Share) iPad Slide 1 20 EXTENSION ACTIVITY: 10 MINUTES NOTE: THE NUMBER WRITTEN ON EACH BLANK PAPER IS THE NUMBER OF HOUSES YOU WILL HAVE IN YOUR CITY. RACHEL (Extension) iPad Slide 1 21 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. RACHEL (Extension) iPad Slide 1 22 1 MINUTE JOURNAL: WRITE DOWN: 1. HOW MANY HOUSES YOU HAD? 2. HOW MANY ROADS DO YOU NEED? RACHEL (Share) iPad Slide 1 23 1 MINUTE ON A STICKY NOTE: 1. ADD ALL HOUSES AT YOUR TABLE 2. ADD UP ALL ROADS AT TABLE. RACHEL (Share) iPad Slide 1 24 1 MINUTES RAPID-FIRE AS GORDON POINTS TO YOUR TABLE SHOUT- OUT 1. NUMBER OF HOUSES 2. NUMBER OF ROADS. RACHEL (Share) Type iPad Slide #2 1 25 2 MINUTES USING THE DATA ON THE BOARD: JOURNAL WRITE DOWN: THE RELATIONSHIP BETWEEN THE NUMBER OF HOUSES AND THE NUMBER OF ROADS. 46 min RACHEL (Share) iPad Slide 1 26 NEXT TIME: WE WILL LOOK AT OTHER TYPES OF NETWORKS 1 27