
Conditional Statements and Counterexamples
Presentation
•
Mathematics
•
10th Grade
•
Hard
Joseph Anderson
FREE Resource
5 Slides • 25 Questions
1
Patterns and Inductive Reasoning
2
3
Multiple Choice
4
Multiple Choice
How would you describe this pattern's rule?
16, 11, 6, 1
Add 5
Subtract 3
Subtract 5
Subtract 6
5
Multiple Choice
What number belongs in the blank?
18,24,___,36,42
28
31
30
35
6
Multiple Choice
How many squares are in Step 5?
30
31
32
33
34
7
Multiple Choice
How many squares are in Figure 4?
10
11
12
13
14
8
Multiple Choice
How many counters would come next?
5
7
9
11
9
10
Multiple Choice
The sum of two negative numbers is ___________.
11
Multiple Choice
1, -1, 2, -2, 3, ___
12
Multiple Choice
13
Multiple Choice
For a conjecture to be true, it must be true...
in most cases.
in all cases.
on Thursday mornings.
at least once.
14
15
Multiple Choice
Which is a counterexample to the following statement?
If an angle is obtuse, then it is 125° .
90°
57°
160°
180°
16
Multiple Choice
Which of the following provide a counterexample to the claim:
"If two angles are supplementary, then they are not congruent."
40° and 140°
80° and 80°
30° and 150°
90° and 90°
17
Multiple Choice
Which is a counterexample to the following statement?
If you add two numbers, then the sum is odd.
2+5=7
3+2=5
1+8=9
2+4=6
18
Multiple Choice
Which is a counterexample to the following statement?
If an animal is brown, then it is a dog.
Squirrel
Chocolate lab
White rabbit
Blue jay
19
NOW LET'S PUT IT ALL TOGETHER AND PRACTICE A FEW MORE!
20
Multiple Choice
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
21
Multiple Choice
Which number is a counterexample to the following statement? :
All numbers that are divisible by 2 are divisible by 4
0
12
28
42
22
Multiple Choice
Used to prove that a conjecture is false.
Counterexample
Inductive Reasoning
Concluding statement
Conjecture
23
Multiple Choice
How would you describe this pattern's rule?
65, 62, 59, 56, 53, 50
Subtract 2
Subtract 3
Subtract 4
Add 3
24
Multiple Choice
What are the next two numbers in this pattern?
12, 17, 22, 27, ___, ___
32, 37
30, 37
30, 33
32, 35
25
Multiple Choice
Where would the next red square be?
bottom left
top right
top left
bottom right
26
Multiple Choice
What are the missing numbers in this pattern?
23, 33, ___, 53, ___, 73
32, 62
42, 63
43, 63
42, 62
27
Multiple Choice
Find the next term in the sequence:
A, D, G, J, _____
L
M
P
K
28
Multiple Choice
What is a conjecture?
A statement believed to be true based on observations.
An example which disproves an hypothesis.
the performance of tricks that are seemingly magical
29
Multiple Choice
The type of reasoning where a person makes conclusions based on observations and patterns is called...
Inductive reasoning
Deductive reasoning
Conjecture
Experiments
30
Multiple Choice
In which hand is the Statue of Liberty's torch?
Left
Right
Patterns and Inductive Reasoning
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