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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.
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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Inductive reasoning
Is the process of reasoning that a rule or statement is true because specific cases are true
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contrapositive
Is the statement formed by both exchanging and negating the hypothesis and the conclusion
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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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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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Deductive reasoning
Is the process of using logic to draw conclusions from given facts, definitions, and properties.
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definition
Is a statement that describes a mathematical object and can be written as a true biconditional
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proof
Is an argument that uses logic, definitions, properties, and previously proven statements to show that a conclusion is true.
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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 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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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