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1.4 Inductive Reasoning, Conjectures & Counterexamples

Authored by Christina Olson

Mathematics

KG

CCSS covered

Used 64+ times

1.4 Inductive Reasoning, Conjectures & Counterexamples
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25 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Inductive Reasoning means...

Guessing

Testing and observing patterns to make conjectures

Telling the truth from number patterns

Explain why

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Used to prove that a conjecture is false.

Counterexample

Inductive Reasoning

Concluding statement

Conjecture

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

True

False

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which of the following is a counterexample to the following conjecture? If x2 = 4x^2\ =\ 4 , then x = 2

x = 4

x = -2

x = 2

x = -4

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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

positive
negative
odd
even

Tags

CCSS.6.NS.C.5

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which number is a counterexample to the following statement? For all numbers a, 2a + 7 ≤17\le17  

a = 6

a = 0

a = 5

a = 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If it is an angle, then it is acute. What is an appropriate counterexample?

70⁰
45⁰
120⁰
True. There is no counterexample.

Tags

CCSS.7.G.B.5

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