
Inductive and Deductive Reasoning: Conjectures and Counterexamples

Interactive Video
•
Mathematics
•
6th - 10th Grade
•
Hard
+3
Standards-aligned

Sophia Harris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the three main goals of the video?
Use counterexamples, solve equations, and classify arguments.
Define mathematical terms, solve equations, and use counterexamples.
Classify arguments, solve problems, and define mathematical terms.
Define inductive and deductive reasoning, classify arguments, and use counterexamples.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of reasoning uses patterns, trends, observations, and examples to make predictions?
Inductive reasoning
Mathematical reasoning
Deductive reasoning
Logical reasoning
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In inductive reasoning, what do we call the predictions made based on gathered evidence?
Hypotheses
Proofs
Theorems
Conjectures
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of reasoning starts with proven or accepted information and applies it to draw a necessary conclusion?
Inductive reasoning
Logical reasoning
Deductive reasoning
Empirical reasoning
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In deductive reasoning, if all humans have hearts and Kim is a human, what can we conclude?
Kim does not have a heart
Kim has a heart
Kim is not a human
Kim is an animal
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is an example of inductive reasoning?
All vegetables are purple; lettuce is a vegetable; therefore, lettuce is purple.
The last six times we played our archrival in football, we won; therefore, we will win on Saturday.
There is no mail delivery on holidays; tomorrow is Thanksgiving; therefore, my student loan check won't be delivered.
All humans have hearts; Kim is a human; therefore, Kim has a heart.
Tags
CCSS.HSS.IC.B.3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is an example of deductive reasoning?
The last six times we played our archrival in football, we won; therefore, we will win on Saturday.
I own an orange fish; my friend owns an orange fish; therefore, all fish are orange.
We have seen many black crows; therefore, all crows are black.
All vegetables are purple; lettuce is a vegetable; therefore, lettuce is purple.
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