1. Module 5: Problem Solving: Solve an easier related problem Create a physical representation

2. Content Learning Targets Participants will solve problems by: Solving an easier related problem Create a physical representation Participants will justify their solutions

3. Language Learning Targets Participants will define: Physical representation

4. Problem Solving Solving an easier related problem What does ¾ ÷ ½ mean? To fully understand the problem, I might ask an easier related problem. What does 4 ÷ 2 mean?

5. Problem Solving Solving an easier related problem What does 4 ÷ 2 mean? I am being asked, how many 2s are there in 4? I am beginning to understand what they are asking but I want to make sure so I look at another similar problem.

6. Problem Solving Solving an easier related problem What does 4 ÷ ½ mean? I am being asked, how many halves are there in 4? I now understand what they are asking.

7. Problem Solving Solving an easier related problem What does 4 ÷ ½ mean? I am being asked, how many halves are there in 4? I now understand what they are asking in the question: What does ¾ ÷ ½ mean?

8. Problem Solving Solving an easier related problem What does ¾ ÷ ½ mean? How many halves are there in ¾?

9. Solving problems by creating a physical representation Spatially organize the information to create a physical representation of the problem Various restrictions on identities or movements within the problem can be acted out

10. Crossing the river Physical representation http://freeweb.siol.net/danej/riverIQGame.swf

11. Crossing the river Physical representation Everybody has to cross the river Only 2 people on the raft at a time The father cannot stay with any of the daughters without the mother’s presence The mother cannot stay with any of the sons without their father’s presence The thief (stripped shirt) cannot stay with any family member if the policeman is not there Only the father, mother and policeman know how to operate the raft

12. Physical representation 6 people meet at a party. Each person shares their business card with everyone at the party. If each person only gets one card from any person at the party, how many cards have been shared?