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

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

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

• positive
• negative
• odd
• even

Tags

CCSS.7.EE.A.1

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

Find a pattern in the sequence.  Use the pattern to show the next two terms.
1, 3, 7, 15, 31, ___ , ___

• 60, 120
• 63, 127
• 54, 116
• 57, 121

Tags

CCSS.HSF.BF.A.2

Which is a counterexample of: Any number divisible by 2 is divisible by 4.

• 15÷2
• 20÷4
• 16÷4
• 10÷2

Tags

CCSS.4.OA.B.4

How many counters would come next?

• 5
• 7
• 9
• 11

Tags

CCSS.4.OA.C.5

How many squares are in Figure 4?

• 10

• 11

• 12

• 13

• 14

Tags

CCSS.5.G.B.3

CCSS.5.G.B.4