1. Rainbow Logic Find a full description at the link.description 1

2. 6/6/14 Southwest Washington Common Core Mathematics Rainbow Logic A LogicTask 2

3. Language Target Provide a reason for each guess. 3

4. Launch 4 What is pictured?

5. Launch 5 rows columns

6. The 3 squares are 3 colors for each team member: 2 Whiteboards per table. 1 caution sign 6 Supplies

7. The squares are 3 colors: Each puzzle has 3 of each color. All of the squares of the same color must be connected by at least one full side. 7 Rainbow Logic Rules

8. 8 Does this follow the rules? Columns Rows

9. 9 Does this follow the rules? Columns Rows

10. 10 I need 2 readers. Columns Rows Guesser Grid Designer.

11. 11 Follow this example Columns Rows Is row 1 column 2 green? Yes

12. 12 Follow this example Columns Rows Is row 1 column 1 green? Because green has to share a side with green. No

13. 13 Follow this example Columns Rows Is row 2 column 2 green? Because green has to share a side with green. Yes

14. 14 Follow this example Columns Rows Is row 3 column 2 green? Because green has to share a side with green. Yes

15. 15 Follow this example Columns Rows Oh… I really know what it looks like now!

16. 16 Follow this example Columns Rows I know row 1 column 1 is not green, so row 1 column 1 is red. No.

17. 17 Follow this example Columns Rows OK, so row 1 column 1 must be blue because it is not green or red. Yes.

18. 18 Follow this example Columns Rows OK, I really know what the design is now!

19. 19 Follow this example Columns Rows

20. 20 Practice 3. Construct viable arguments & critique the reasoning of others. What do you think this looks like?

21. 21 Practice 3. Construct viable arguments & critique the reasoning of others. Analyze problems and use stated mathematical assumptions, definitions, and established results in constructing arguments. Justify conclusions with mathematical ideas. Listen to the arguments of others and ask useful questions to determine if an argument makes sense. Ask clarifying questions or suggest ideas to improve/revise the argument. Compare two arguments and determine correct or flawed logic.

22. Roles Grid Designer – Puts the colors in the grid. Checker –Checks the Grid Designer follows the rules –Make sure the Guesser provides a reason for each guess after the first color tile is revealed. Guesser – Asks the Grid Designer “A Yes or No” to determine the grid. Recorder –Records all of the reasons given by the Guesser –Records the number of guesses. 22

23. Before you begin … Predict the fewest number of guesses needed for the Guesser to determine the grid design. The roles will rotate. Make a claim, “The fewest number of guesses needed to determine the grid design is ___”. Keep playing until you have enough evidence to support your claim. If you think a 3 × 3 is too easy, do a 4 × 4. 23

24. Before you begin … How many pets do you have? Here are your roles: Grid Designer – the most pets Checker – elbow partner of Designer Guesser – sitting opposite of the Designer Recorder – the remaining person Rock-Paper-Scissors breaks any tie. The next Grid Designer is to the right of the current Grid Designer. 24

25. As you begin … The Grid Designer and the Guesser draw a 3 × 3 grid on your whiteboard. The Grid Designer fills in the grid, and the Checker verifies it. The Checker also listens for a reason for each guess after the first guess. If they do not hear a reason, they show the. The Recorder writes all the reasons and the number of guess on a piece of paper. The paper gets passed to the next recorder. 25

26. 26 TASKTASK Practice 3. Construct viable arguments & critique the reasoning of others. Make a claim, “The fewest number of guesses needed to determine the grid design is ___”.

27. 27 Practice 3. Construct viable arguments & critique the reasoning of others. Analyze problems and use stated mathematical assumptions, definitions, and established results in constructing arguments. Justify conclusions with mathematical ideas. Listen to the arguments of others and ask useful questions to determine if an argument makes sense. Ask clarifying questions or suggest ideas to improve/revise the argument. Compare two arguments and determine correct or flawed logic.

28. 28 Practice Rainbow Logic Practice

29. 29 Directions: Complete as much us the possible. Provide a reason for the guess. blue