Geometry - Patterns and Inductive Reasoning

Inductive Reasoning means...

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

In Deductive reasoning, you...

• Subtract
• Make an educated guess
• Make a conjecture
• Explain why you know your conjecture MUST be true.

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.D.11

What is the rule for the nth term of this pattern?

• f(n) = 4n
• f(n) = 4n + 9
• f(n) = 4n + 5
• f(n) = 4

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

What is the rule for the nth term of this sequence?

• f(n) = 6n
• f(n) = 5n + 6
• f(n) = 6 - 5n
• f(n) = 11 - 5n

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

What would the 50th term of this sequence be?

• 450
• 205
• 100
• 201

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

What is the 100th term of this sequence?

• -500
• -105
• -489
• -475

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Here are the first 4 diagrams of a pattern.  How many squares would be in the 20th diagram in the sequence?

• 540
• 820
• 880
• 900

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

How many triangles would there be in the 50th diagram?

• 150
• 195
• 197
• 201

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Suppose there are 12 people around the table at Thanksgiving dinner.  How many different pairs of conversations can take place if everyone is able to talk to everyone else?

• 66 conversations
• 72 conversations
• 132 conversations
• 144 conversations

Tags

CCSS.HSS.CP.B.9

Use deductive reasoning to determine which of these critters on the right is a "Whatnot".

• a and c
• a and e
• e and f
• a, e, and f

Tags

CCSS.2.G.A.1