1.4 Inductive Reasoning

​ (a)   reasoning is a type of reasoning that reaches conclusions based on the ​ (b)   of past events.

• Inductive
• pattern
• Deductive
• conterexample
• conclusions
• hypothesis

Tags

CCSS.HSS.IC.B.3

A ​ (a)   is a rule that is assumed to be true.

• conjecture
• hypothesis
• conclusion
• conterexample
• inductive reasoning

We can test if a conjecture is true or false by looking for a ​ (a)  

• counterexample
• hypothesis
• conclusion
• pattern
• observation

Use inductive reasoning to complete the pattern:

0, 5, 10, 15, 20, ___ , . . .

• 30

• 21

• 25

• 35

• No pattern

Tags

CCSS.2.NBT.A.2

What conjecture could you write about this pattern:

0, 5, 10, 15, 20, ___ , . . .

• +5

• x2

• +10

• No pattern

Tags

CCSS.3.OA.D.9

Use inductive reasoning to complete the pattern:

800, 400, 200, 100, 50, ___ , . . .

Mathematical Equivalence

ON

Tags

CCSS.3.OA.D.9

What conjecture can be written about the pattern:

800, 400, 200, 100, 50, ___ , . . .

• -400

Tags

CCSS.HSF.BF.A.2

Use inductive reasoning to complete the pattern:

3, -9, 27, -81, 243, -729, ___ , . . .

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.A.2

What conjecture can be written about the pattern:

3, -9, 27, -81, 243, -729, ___ , . . .

• x3

• x2

Tags

CCSS.HSF.BF.A.2

Use inductive reasoning to complete the pattern:

• 
• 
•