Conjectures and counterexamples
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
+5
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is a conjecture?
Back
A conjecture is a statement or proposition that is believed to be true based on observations but has not yet been proven.
2.
FLASHCARD QUESTION
Front
What is a counterexample?
Back
A specific case for which a conjecture is false.
3.
FLASHCARD QUESTION
Front
What does inductive reasoning involve?
Back
Testing and observing patterns to make conjectures.
4.
FLASHCARD QUESTION
Front
If two angles are supplementary, what can we say about their measures?
Back
The sum of their measures is 180°.
Tags
CCSS.7.G.B.5
5.
FLASHCARD QUESTION
Front
Provide an example of a counterexample to the conjecture: 'All angles are acute.'
Back
120° is a counterexample because it is not acute.
6.
FLASHCARD QUESTION
Front
What is deductive reasoning?
Back
Deductive reasoning involves drawing specific conclusions from general principles or premises.
Tags
CCSS.RI.8.1
CCSS.RI.8.8
CCSS.RL.11-12.1
CCSS.RL.8.1
CCSS.RL.9-10.1
7.
FLASHCARD QUESTION
Front
What is the difference between inductive and deductive reasoning?
Back
Inductive reasoning makes generalizations based on specific observations, while deductive reasoning applies general principles to reach specific conclusions.
Tags
CCSS.RI.8.1
CCSS.RI.8.8
CCSS.RL.11-12.1
CCSS.RL.8.1
CCSS.RL.9-10.1
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