Patterns and Inductive Reasoning

How can you prove a conjecture is false?

• Counterexample
• Not Possible
• Patterns

Find the next number in the sequence.
1, -1, 2, -2, 3, ___

• 4
• -4
• 3
• -3

Tags

CCSS.4.OA.C.5

• A
• B
• C
• D

Tags

CCSS.HSF.BF.A.2

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.6.EE.B.6

• A
• B
• C
• D

Tags

CCSS.3.MD.C.6

CCSS.3.MD.C.7

CCSS.3.OA.A.3

CCSS.3.OA.C.7

• A
• B
• C
• D

Tags

CCSS.HSF.BF.A.2

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

• positive
• negative
• odd
• even

Tags

CCSS.7.EE.A.1

Determine if this conjecture is true. If not, give a counterexample.
The difference of two negative numbers is a negative number.

• true
• false; -11 - (-13)  = 2
• false; -7 - (-5) = 2
• false; -19 - (-17)

Tags

CCSS.6.NS.C.5

Find the next item in the pattern:
-3, 6, -12, 24, ...

• 36
• -36
• 48
• -48

Tags

CCSS.HSF.BF.A.2

Which is a counterexample of: If a four sided shape has two sides the same length, then it must be a rectangle.

• quadrilateral
• rectangle
• square
• triangle

Tags

CCSS.4.G.A.2