2. Logic and Reasoning: Examples and Non-Examples Rebecca Boutte Cobb 6 th Grade Campus Galena Park I. S. D.

3. Objective TEKS 6.13 A -

4. Comparing Let’s play a game of concentration. Click on the link below. This game will get you to concentrate on making comparisons. http://illuminations.nctm.org/tools/tool_deta il.aspx?id=73http://illuminations.nctm.org/tools/tool_deta il.aspx?id=73

5. Examples and Non-Examples Now that you’re an expert at making comparisons, let’s get started! We will be making comparisons, noting similarities and differences of characteristics in the “Example and Non-Example” activities that follow.

6. What makes it a Griddle? Let’s examine the figures in the table that follow. What characteristic do these figures have in common?

7. Examples & Non-Examples These are Griddles These are not Griddles

8. You’re Right! Griddles are four- sides polygons (quadrilaterals). The non- examples do not have four sides.

9. What makes it a Tagamond? Let’s examine some more figures in a table. What characteristic do these figures have in common?

10. Examples and Non-Examples TagamondsNot Tagamonds

11. Great Observation! Tagamonds are three- dimensional figures or solids. The other figures are two- dimensional. 3–D Glasses

12. Examples and Non-Examples Kuros 2 5 11 17 31 Not Kuros 1 9 12 21 51

13. Way to Go! Kuros are prime numbers.

14. Examples and Non-Examples Quizzlers 6 and 18 12 and 36 17 and 51 25 and 75 Not Quizzlers 2 and 8 10 and 50 15 and 30 7 and 28

15. Did you figure this one out? Quizzlers have a first number that when multiplied by 3 will give you the second number. In other words, the first number must be a factor of the second number and a multiple of 3. Factor x 3 = a multiple of 3

16. Examples and Non-Examples Quizzlers 6 x 3 = 18 12 x 3 = 36 17 x 3 = 51 25 x 3 =75 Not Quizzlers 2 x 4 = 8 10 x 5 = 50 15 x 2 = 30 7 x 4 = 28

17. Examples and Non-Examples Zingers 51 48 72 36 81 Not Zingers 68 55 41 10 22

18. Did you get this one? Zingers are divisible by 3. (Multiples of 3). Remember the divisibility rule! If the sum of the digits is divisible by 3 then the number is divisible by 3. 5 + 1 = 6; so 51 is divisible by 3.

19. Your Turn! Work with a partner to create your own “Example/Non- Example” problem. Remember, items under the Example column must share a common characteristic.