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

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Objective TEKS 6.13 A -

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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

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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.

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

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

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

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

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Examples and Non-Examples TagamondsNot Tagamonds

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

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

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Way to Go! Kuros are prime numbers.

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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

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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

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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

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

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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.

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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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