conjectures and counterexamples

A counterexample is an example that proves a conjecture to be true.

• True

• False

To fully disprove a conjecture, one needs to find only ONE counterexample.

• True

• False

A concluding statement reached using inductive reasoning is called a _______

• compound statement

• conjecture

• condition

• counterexample

• x = 4

• x = -2

• x = 2

• x = -4

Tags

CCSS.HSA.REI.B.4

• a = 6

• a = 0

• a = 5

• a = 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

How many counters would come next?

• 5
• 7
• 9
• 11

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

How many squares are in Figure 4?

• 10

• 11

• 12

• 13

• 14

Tags

CCSS.5.G.B.3

CCSS.5.G.B.4

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

• L
• M
• P
• K

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

How can you prove a conjecture is false?

• Counterexample
• Not Possible
• Patterns

If an animal is furry, then it is a hamster. What would be an appropriate counterexample?

• goldfish
• frog
• elephant
• cat

Tags

CCSS.HSS.CP.A.1