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Logic and Reasoning: Examples and Non-Examples

Logic and Reasoning: Examples and Non-Examples. Rebecca Boutte Cobb 6 th Grade Campus Galena Park I. S. D. Objective. TEKS 6.13 A - . Comparing. Let’s play a game of concentration. Click on the link below. This game will get you to concentrate on making comparisons.

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Logic and Reasoning: Examples and Non-Examples

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

  2. Objective • TEKS 6.13 A -

  3. 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_detail.aspx?id=73

  4. 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.

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

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

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

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

  9. Tagamonds Not Tagamonds Examples and Non-Examples

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

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

  12. Way to Go! • Kuros are prime numbers.

  13. 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 Examples and Non-Examples

  14. 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

  15. 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 Examples and Non-Examples

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

  17. 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.

  18. 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.

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