Unit 2: Logic and Proof

Which number is a counterexample to the following statement? : 
All numbers that are divisible by 2 are divisible by 4

• 0
• 12
• 28
• 42

Tags

CCSS.4.OA.B.4

• A
• B
• C
• D

Tags

CCSS.6.EE.B.6

Used to prove that a conjecture is false.

• Counterexample
• Inductive Reasoning
• Concluding statement
• Conjecture

Complete the conjecture.  Think of examples to help.
The product of any two odd numbers is _____________

• even
• odd
• zero
• positive

Tags

CCSS.3.OA.D.9

CCSS.3.OA.B.5

Complete the conjecture.  Think of examples to help.
The sum of an odd number and an even number is ________________

• even
• odd
• zero
• positive

Tags

CCSS.6.EE.B.6

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

The type of reasoning where a person makes  conclusions based on observations and patterns is called...

• Inductive reasoning
• Deductive reasoning
• Conjecture
• Experiments

Tags

CCSS.5.OA.B.3

What are the missing numbers in this pattern?
23, 33, ___, 53, ___, 73

• 32, 62
• 42, 63
• 43, 63
• 42, 62

Tags

CCSS.2.NBT.A.2

Complete the conjecture.  Think of examples to help.
The difference of any two odd numbers is _______

• even
• odd
• zero
• positive

Tags

CCSS.3.OA.D.9

Which is a counterexample of: The difference of two numbers is less than the greater number.

• (5) - (2) = 3
• (-5) - (4) = -9
• (2) - 0 = 2
• (3) - (3) = 0

Tags

CCSS.7.NS.A.3