Inductive reasoning and counterexamples

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

Tags

CCSS.RI.11-12.2

CCSS.RI.9-10.1

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Complete the conjecture.  Think of examples to help.
The product of any two odd numbers is _____________

• even
• odd
• zero
• positive

Tags

CCSS.3.OA.D.9

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

• L
• M
• P
• K

Tags

CCSS.RF.3.3B

CCSS.RF.3.3C

CCSS.RF.3.3D

CCSS.RF.4.3A

CCSS.RF.5.3A

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

• M
• P
• S
• V

Tags

CCSS.L.1.1B

CCSS.L.2.2C

CCSS.L.3.2D

How many cubes would be in the 10th figure?

• 18
• 16
• 17
• 41

Tags

CCSS.5.OA.B.3

What is the rule for this pattern?
1st term:32
2nd term:36
3rd term:40

• 4x+28
• 4x+32
• x+4
• 4x

Used to prove that a conjecture is false.

• Counterexample
• Inductive Reasoning
• Concluding statement
• Conjecture

Which number is a counterexample to the following statement? : 
All numbers that are divisible by 2 are divisible by 4

• 0
• 12
• 28
• 42

Tags

CCSS.5.OA.B.3

For a conjecture to be true, it must be true...

• in most cases.

• in all cases.

• on Thursday mornings.

• at least once.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Which is a counterexample of: The difference of two numbers is less than the greater number.

• (5) - (2) = 3
• (-5) - (4) = -9
• (2) - 0 = 2
• (3) - (3) = 0

Tags

CCSS.7.NS.A.1D