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 transcript:

10/5/2015 & 10/6/2015

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

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

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.)

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

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 m/math/ma_hs16tx_gmte/scos/A /player.html m/math/ma_hs16tx_gmte/scos/A /player.html

 m/math/ma_hs16tx_gmte/scos/A /player.html m/math/ma_hs16tx_gmte/scos/A /player.html

Each sum is the square of the number of terms.

 m/math/ma_hs16tx_gmte/scos/A /player.html m/math/ma_hs16tx_gmte/scos/A /player.html

 m/math/ma_hs16tx_gmte/scos/A /player.html m/math/ma_hs16tx_gmte/scos/A /player.html

Red Carnations Red Tulips Poinsettas The list goes on and on

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.