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10/5/2015 & 10/6/2015.  Bell Ringer  Patterns & Conjectures  Assignment  Ticket Out  Next Monday, October 12, No school. Teacher work day.

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Presentation on theme: "10/5/2015 & 10/6/2015.  Bell Ringer  Patterns & Conjectures  Assignment  Ticket Out  Next Monday, October 12, No school. Teacher work day."— Presentation transcript:

1 10/5/2015 & 10/6/2015

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3  Bell Ringer  Patterns & Conjectures  Assignment  Ticket Out  Next Monday, October 12, No school. Teacher work day

4 A counterexample is a statement that shows that a conjecture is wrong by giving an example that does not agree with the conjecture.

5 Inductive reasoning is reasoning based on a pattern that is observed. A C E G I K M O Q (Rule: skip every other letter.)

6 In Fridays, they usually serve beans in the cafeteria. Today is Friday, so they will serve beans today in the cafeteria.

7  https://media.pearsoncmg.com/curriculu m/math/ma_hs16tx_gmte/scos/A0385747 /player.html https://media.pearsoncmg.com/curriculu m/math/ma_hs16tx_gmte/scos/A0385747 /player.html

8  https://media.pearsoncmg.com/curriculu m/math/ma_hs16tx_gmte/scos/A0262666 /player.html https://media.pearsoncmg.com/curriculu m/math/ma_hs16tx_gmte/scos/A0262666 /player.html

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12  https://media.pearsoncmg.com/curriculu m/math/ma_hs16tx_gmte/scos/A0262669 /player.html https://media.pearsoncmg.com/curriculu m/math/ma_hs16tx_gmte/scos/A0262669 /player.html

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15 Each sum is the square of the number of terms.

16  https://media.pearsoncmg.com/curriculu m/math/ma_hs16tx_gmte/scos/A0262671 /player.html https://media.pearsoncmg.com/curriculu m/math/ma_hs16tx_gmte/scos/A0262671 /player.html

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18  https://media.pearsoncmg.com/curriculu m/math/ma_hs16tx_gmte/scos/A0262672 /player.html https://media.pearsoncmg.com/curriculu m/math/ma_hs16tx_gmte/scos/A0262672 /player.html

19 Red Carnations Red Tulips Poinsettas The list goes on and on

20 Find a pattern for each sequence. Use the pattern to show the next two terms. 1. 5, 11, 18, 26, … 2. A, B, D, E, G, H, … Make a conjecture for each scenario. Show your work. 3. the square of an odd number Find one counterexample to show that each conjecture is false. 4. All four-sided figures are rectangles.


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