Unit 2 Inductive Reasoning 1a

The type of reasoning where a person makes  conclusions based on observations and patterns is called...

• Inductive reasoning
• Deductive reasoning
• Conjecture
• Experiments

Tags

CCSS.5.OA.B.3

What is a conjecture?

• A statement believed to be true based on observations.
• An example which disproves an hypothesis.
• the performance of tricks that are seemingly magical

Find the next term in the sequence:
A, D, G, J, _____

• L
• M
• P
• K

Tags

CCSS.HSF.BF.A.2

What is the rule?
5,10,15,20,25

• add 6
• add 5
• add 4
• add 7

Tags

CCSS.3.OA.D.9

What do we call an unproven statement that is based on observations?

• counterexample

• conditional

• converse

• conjecture

Tags

CCSS.3.MD.D.8

What is a counterexample?

• A generalism that cannot be applied to a specific case

• A specific case that help to prove a conjecture

• A general case that is supported by specific examples

• A specific case for which a conjecture is false

Which of the following is a counterexample to the conjecture that the product of two positive numbers is always greater than either number?

• 1 x 5 = 5; 5 is not greater than 5

• 2 x 3 = 6; 6 is greater than 2 and 3

• -3 x 4 = -12; -12 is not greater than -3 or 4

• -1 x -2 = 2; two is greater than -1 and -2

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

In order to prove a conjecture false, ...

• you need only one counterexample.

• you need several counterexamples.

• you need to show all cases are false.

Given the following observation--Each day, you get to school before your friend--what conjecture can you make?

• You arrived at school before your friend yesterday.

• You will get home before your friend.

• You will arrive at school before your friend tomorrow.

• You need a new friend.