Post on 14-Jan-2016
EXPLORING THE TECHNOLOGY
Teacher Works CD Teacher Resources: Page 12/128
Page 6
Teacher Works CD Teacher Resources
5 Minute Check: Page 1/101
Teacher Works CD Teacher Resources
5 Minute Check: Page 1/101
45 minutes
30 minutes
Student Achievement
30 minutes
A Challenge Problem
20 minutes
DAY 3
Challenge Problem
20minutes
1st 10 minutes: Discuss and come up with a strategy.
Last 8 minutes: Groups will share their strategies with ALL participants.
On Tuesday groups will share their solutions.
My name is FELWAH. I am an owner of a
small CARROT plantation in a
remote desert oasis.
I need your help !!!
FELWAH the HorseIs an owner of a small carrot
plantation in a remote desert oasis.
Handout Booklet: Page 3
Felwah’s harvest, consists of 3000 carrots.
The market place where the stash can be cashed in is 1000 miles away. However, Felwah must walk to the
market, and can only carry up to 1000 carrots at a time. Furthermore, being a horse, Felwah eats one carrot during each and every mile she walks (so Felwah can
never walk anywhere without carrots).
How many carrots can Felwah get to the market?
My name is FELWAH. I am an owner of a small banana plantation in a remote desert
oasis.
I need your help !!!
A Solution
…to the Felwah Horse problem …
…discuss for 15 minutes & we will put closure to it at our next
session…
A Solution to the Felwah Problem
5. travel an additional 333 1/3 miles, you're left with 666 2/3, stash 333 1/3 there (533 1/3 mile point), you have 333 1/3 left
1. Start trip with 1000 carrots
2. Travel 200 miles, you're left with 800 - stash 600 at 200 mile point, keep 200 for 200 mile trip back.
3. Pick up another 1000
4. travel 200 miles, you have 800 left, pick up 200 from stashed, you now carry 1000 and have 400 more stashed.
6. travel back 333 1/3 miles to 200 mile point, you have no bananas left, pick up 200 stashed (leaving 200 still at 200 mile point), go back the other 200 miles.7. pick up another 1000
8. travel to 200 mile point, leaving 800 bananas, pick up remaining 200 stashed
9. with 1000 bananas travel 333 1/3 miles to 533 1/3 mile point, you're left with 666 2/3 bananas.
10. pick up all 333 1/3 that were stashed there
11. you're back at 1000 carrots
12. make remaining 466 2/3 mile trip, 1000-466 2/3 = 533 1/3 carrots left at end.
A spider and a fly are in a 12 meter high room having a 12 meter by 30 meter floor. The spider is on one 12×12 wall halfway between the adjacent walls and 1 meter from the floor. The fly is on the opposite 12 ×12 wall halfway between the adjacent walls and 1 meter from the ceiling. The spider wishes to crawl to where the fly is via the shortest possible route. Find the distance of the shortest possible path.
12 m
12 m
30 m
I want that FLY
2 min
12 m
12 m
30 m
Content: Developing Problem Solving Strategies
Pedagogy: Guiding Students Using Well Chosen Prompts.
Hint 1: Describe the information in terms of TWO dimensions.
12 m
12 m30
m
Shortest Possible Route !
What possible paths areavailable for the spider ?
floor
ceiling
Two Dimensional
Three Dimensional
12 m
12 m
30 m
My Math knowledge will help me
FIND the shortest path.
Is This REALLY The SHORTEST
path ?
floor
30 111
42 mceiling
42
S o l u t i o n
CASE ONE: (a three face solution) is to go to the nearest edge, then across the floor and finally up the opposite wall for a total distance of 1+30+11 = 42.
If we “unfold” the room,
the spider will follow a straight-line
path to the fly.
I want that fly
floor
30 111
42 meters
S o l u t i o n
CASE TWO: (a three face solution) is to go across the wall, NOT the floor nor the ceiling, for a total distance of 43.174...
2210 6 30 6 1864
floor 66 30
10
A New Net
ceiling
S o l u t i o n
CASE THREE: (a four face solution) is to go to the nearest edge, then cut across a corner of the floor, then cut across another corner of the wall, and finally go up the adjacent wall to the opposite point, for a distance of 40.718...
16581166301 22 40.718
floor
30 61
ceiling
40
S o l u t i o n
24
ceiling
side wall
side wall
floor
32
CASE FOUR: (a five face solution) is to go to the nearest edge, then cut across the corner of the floor, then across the side wall and then cut across the corner of the ceiling and finally go to the opposite point, for a distance of 40.
2 26 12 6 1 30 1x
40x
12 m
12 m30
m
Break: Back at 12:30
How are science (and
other cross curricular
topics) embedded
throughout the program?
Handout Booklet:
Pages 1-2
THIRD GRADE
In the Chapter Introductions
THIRD GRADE
Handout Booklet:
Pages 3-4
In Problem Solving Lessons
Handout Booklet:
Pages 7-8
Handout Booklet: Pages 9-
VikHelp Me Explain
How Would You Solve The Problem ?
10
3115
Any
volunteers ?
Help Me Get The Answer Using Sound Mathematical Reasoning
“No Fuzzy Stuff”
10
3115
Help Me Get The Answer Using Sound Mathematical Reasoning
“No Fuzzy Stuff”
10
3115
6th Grade
10
3
1
115
10
311510
10
1147
10
7114
by long division
Mathematical Reasoning“No Fuzzy Stuff”
10
3115
1410
13
1
10
1114
00
3
1
1147
10
1147
10