Lesson 2.1 Inductive Reasoning and Conjectures

Where would the next red square be?

• bottom left
• top right
• top left
• bottom right

Tags

CCSS.K.G.A.1

Inductive Reasoning means...

• Guessing
• Testing and observing patterns to make conjectures
• Explaining why
• Ura nok seblu!

How would you describe this pattern's rule?
65, 62, 59, 56, 53, 50

• Subtract 2
• Subtract 3
• Subtract 4
• Add 3

Tags

CCSS.7.EE.A.1

CCSS.7.NS.A.1

How many squares are in Figure 4?

• 10

• 11

• 12

• 13

• 14

Tags

CCSS.3.MD.C.6

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.

Tags

CCSS.3.OA.B.5

CCSS.3.OA.D.9

• a = 6

• a = 0

• a = 5

• a = 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

• x = 4

• x = -2

• x = 2

• x = -4

Tags

CCSS.HSA.REI.B.4

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

• True

• False

How can you prove a conjecture is false?

• Counterexample
• Not Possible
• Patterns