TWISTER

TWISTERDirections:

1) Each student picks a circle with a color (red, blue, green, yellow) from a bag.2) The teacher spins the spinner (either on Smartboard or homemade) and a

color is revealed.3) The teacher reads the first word of that color (yellow 1). Each yellow student

has two minutes to write a definition of that word. 4) The teacher collects the definitions and reads them aloud without saying

the student’s name.5) The rest of the class votes on the best definition. The students get a point

for each vote they get.6) The students with the most votes after all words have been read is the

winner.

TWISTER 1

5

9

13

17

21

2 3 4

18

10

14

6

22

7

23

11

15

19

8

24

20

16

12Choose a number.

TWISTER conclusion

conclusion

Is the part of a conditional statement following the word then.

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Paragraphproof

Paragraph proof

Is a style of proof that presents the steps of the proof and their matching reasons as sentences in a paragraph

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conjecture

conjecture

Educated guess

A statement you believe to be true based on inductive reasoning

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inverse

inverse

Is the statement formed by negating the hypothesis and the conclusion

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negation

negation

The negation of a statement p is “not p”, written as ~p

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Flowchartproof

Flowchart proof

A second style of a proof which uses boxes and arrows to show structure

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TWISTER polygon

Polygon

Is defined as a closed plane figure formed by three or more line segments

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Conditionalstatement

Conditional statement

Is a statement that can be written in the form of“if p, then q”

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Inductivereasoning

Inductive reasoning

Is the process of reasoning that a rule or statement is true because specific cases are true

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contrapositive

contrapositive

Is the statement formed by both exchanging and negating the hypothesis and the conclusion

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Truth value

Truth value

A conditional statement has a truth value of either true (T) or false (F).

False – when hypothesis is T and conclusion is F

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polygon

polygon

Is defined as a closed plane figure formed by three or more line segments

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TWISTER Biconditionalstatement

Biconditional statement

Is a statement that can be written in the form “p if and only if q”

This means“if p, then q” and “if q, then p”

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hypothesis

hypothesis

The part of a conditional statement following the word if.

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quadrilateral

quadrilateral

A four-sided polygon

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converse

converse

Is the statement formed by exchanging the hypothesis and the conclusion

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Deductivereasoning

Deductive reasoning

Is the process of using logic to draw conclusions from given facts, definitions, and properties.

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hypothesis

hypothesis

The part of a conditional statement following the word if.

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TWISTER definition

definition

Is a statement that describes a mathematical object and can be written as a true biconditional

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proof

proof

Is an argument that uses logic, definitions, properties, and previously proven statements to show that a conclusion is true.

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triangle

triangle

Is defined as a three-sided polygon

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counterexample

counterexample

To show a conjecture is always true, you much prove it. To show a conjecture is false, you have to find only one example in which the conjecture is not true.

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Two columnproof

Two column proof

In this proof you list the steps of the proof in the left column and matching reason for each step in the right.

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conclusion

conclusion

The part of a conditional statement following the word then

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TWISTER polygon Biconditionalstatement

negation

proof

contrapositive

conjecture

Deductivereasoning

counterexample

conclusion definition

Truth value

hypothesis

converse

Inductivereasoning

conclusion

inverse

polygon

triangle

hypothesis

Paragraphproof

Conditionalstatement

TwoColumn

proof

quadrilateral

Flowchartproof