Conjectures

Conjectures, like theorems, have been proven to be true.

• True

• False

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

Which of the following conjectures is false?

• The product of two even numbers is even.
• The sum of two even numbers is even.
• The product of two odd numbers is odd.
• The sum of two odd numbers is odd.

Tags

CCSS.3.OA.D.9

Complete the conjecture.
The sum of two negative numbers is ___________.

• positive
• negative
• odd
• even

Tags

CCSS.7.NS.A.1

CCSS.7.NS.A.3

Which of the following conjectures is false?

• The product of two even numbers is even.
• The sum of two even numbers is even.
• the product of two odd numbers is odd.
• The sum of two odd numbers is odd.

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

• in most cases.

• in all cases.

• on Thursday mornings.

• at least once.

Tags

CCSS.HSS.IC.A.1

How can you prove a conjecture is false?

• Counterexample
• Not Possible
• Patterns

What is the hypothesis of the given Conditional Statement?

• Jimmy will go to Orlando
• Jimmy goes on vacation
• Jimmy will go to Orlando
• Who is Jimmy?

Tags

CCSS.HSS.CP.A.3

What is the converse to this statement?

• If it isn't dark outside, then it is not night.
• If it is night, then it is dark outside
• If it is not night, then it is not dark outside.
• It is night.