Patterns and Conjectures

10/5/2015 & 10/6/2015

Bell Ringer

Agenda & News

Bell Ringer Patterns & Conjectures Assignment Ticket Out

Next Monday, October 12, No school. Teacher work day

Additional Vocabulary Support

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

Additional Vocabulary Support

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.)

Additional Vocabulary Support

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

3 Act Math

https://media.pearsoncmg.com/curriculum/math/ma_hs16tx_gmte/scos/A0385747/player.html

Solve it!

https://media.pearsoncmg.com/curriculum/math/ma_hs16tx_gmte/scos/A0262666/player.html

Finding a pattern

Finding a pattern

Finding a Pattern

Making a Conjecture

https://media.pearsoncmg.com/curriculum/math/ma_hs16tx_gmte/scos/A0262669/player.html

Got it?

Collecting Information to make a conjecture

Problem 2 Got it?

Each sum is the square of the number of terms.

Making a prediction

https://media.pearsoncmg.com/curriculum/math/ma_hs16tx_gmte/scos/A0262671/player.html

Problem 3 Got it?

Counterexample

https://media.pearsoncmg.com/curriculum/math/ma_hs16tx_gmte/scos/A0262672/player.html

Problem 4 – Got it?

Red CarnationsRed TulipsPoinsettasThe list goes on and on

Ticket out

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.