Inductive Reasoning Challenge

This video covers inductive reasoning, explaining how to create conjectures by observing patterns and recognizing their limits. It includes examples like food illness and sequence patterns, and explores circle chords and regions. The video concludes with exercises to apply these concepts.

What is the primary goal of inductive reasoning?

• To conduct scientific experiments

• To prove mathematical theorems

• To observe data and make generalizations

• To solve algebraic equations

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CCSS.L.6.6

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CCSS.W.9-10.2D

In the example problem, which food was concluded to be the cause of illness?

• Hamburger

• Pasta Salad

• Coleslaw

• None of the above

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CCSS.RI.6.1

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What is the next term in the sequence: A, 4, C, 8, E, 12, G, 16?

• I, 20

• H, 20

• K, 20

• J, 20

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CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

What is the next number in the sequence: 3, 9, 27, 81, 243?

• 729

• 19683

• 2187

• 6561

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CCSS.HSF.BF.A.2

What is the pattern in the sequence: 3, 8, 15, 24?

• Each number is a multiple of 3

• Each number is one less than a perfect square

• Each number is a Fibonacci number

• Each number is a prime number

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CCSS.3.OA.D.9

How many non-overlapping regions are formed by drawing all possible chords connecting five points on a circle?

• 16

• 12

• 10

• 8

What pattern is observed in the number of non-overlapping regions formed by chords in a circle?

• The number of regions triples each time

• The number of regions doubles each time

• The number of regions remains constant

• The number of regions decreases each time

What is the predicted number of non-overlapping regions formed by drawing all possible segments connecting six points?

• 32

• 24

• 40

• 16

Why is Monique's conjecture about always getting heads when tossing a coin unreasonable?

• She used a trick coin

• She didn't follow the correct procedure

• The coin is biased

• She didn't toss the coin enough times

What is a key limitation of inductive reasoning?

• It can only be used in physics

• It requires a large number of examples

• It is always accurate

• It cannot be used to make predictions