
8.NSA.2-Chasing the Unreachable: Approximating Irrational Numbers-Slides/Student Notes
Presentation
•
Mathematics
•
8th Grade
•
Easy
+5
Standards-aligned
Jessica Freeman
Used 1+ times
FREE Resource
37 Slides • 37 Questions
2
3
4
fraction
terminates
repeats
fraction
never ends
repeat
IRRATIONAL
5
6
7
8
CAN BE WRITTEN IN FRACTION FORM
9
Numbers that DO NOT REPEAT and DO NOT TERMINATE
They are decimals that GO ON & ON with RANDOM Numbers
10
11
Multiple Choice
Classify the number: -23
natural, whole, integer, rational, real
integer, rational, real
integer, irrational, real
whole, integer, rational, real
12
Multiple Choice
Classify the number: 3
natural, whole, integer, rational, real
whole, integer, rational, real
natural, whole, integer, irrational, real
natural,integer, rational
13
Multiple Choice
Classify the number: 0
natural, whole, integer, rational, real
integer, irrational, real
irrational, real
whole, integer, rational, real
14
Multiple Choice
A non-repeating or non-terminating decimal is classified as ________________.
rational, real
irrational, real
integer, rational, real
whole, integer, irrational, real
15
Multiple Choice
A repeating or terminating decimal is classified as ___________?
rational, real
integer, rational, real
irrational, real
whole, integer, irrational, real
16
Multiple Choice
Classify the number:
rational, real
whole, Integer, rational, real
integer, irrational, real
irrational, real
17
Multiple Choice
An example of a whole number is:
4/9
-9
5.2
17
18
Multiple Choice
Classify the Number: 2.587
irrational, real
rational, real
integer, rational, real
integer, irrational, real
19
Non-Perfect square
a perfect square is the product of a rational number multiplied by itself.
For example:
52 = 25 so √25 is 5
*they are "nice, neat" whole numbers*
Perfect squares are RATIONAL NUMBERS
Perfect Square
a non-perfect square is an integer whose square is not a whole number.
For example:
√7 = 2.645751....
*goes on forever without repeating*
Non-perfect squares are IRRATIONAL NUMBERS
20
Match
perfect squares are...
non-perfect squares are...
rational numbers are...
irrational numbers are...
rational numbers
irrational numbers
able to be written as fractions
not able to be written as fractions
rational numbers
irrational numbers
able to be written as fractions
not able to be written as fractions
21
Multiple Choice
non-repeating and non-terminating (goes on forever without repeating) decimals are...
rational
irrational
22
Multiple Choice
terminating decimals (have an end) are...
rational
irrational
23
Multiple Select
select all the perfect squares
81
27
64
121
65
24
25
26
rational
close
truncating (see next slide)
2
squared
1
2
1
4
27
28
29
30
Multiple Choice
The √20 is between which two integers?
2 & 3
3 & 4
4 & 5
5 & 6
31
Multiple Choice
The √40 is between which two consecutive whole numbers?
7 & 8
4 & 5
5 & 6
6 & 7
32
Multiple Choice
Estimate the square root.
4
5
6
7
33
Multiple Choice
Estimate the square root.
3
4
5
6
34
Multiple Choice
Level 3: Estimate the square root.
Between 7 and 8 and closer to 8
Between 8 and 9 and closer to 9
Between 9 and 10 and closer to 9
Between 9 and 11 and closer to 10
35
36
37
38
1
2
1.4
1.5
1.96
2.25
1.96
2.25
1.4
1.5
better
39
40
41
Labeling
Between which two consecutive numbers does 45 lie?
3
4
7
8
5
6
42
Drag and Drop
134
136
10
14
13
43
Math Response
Estimate the square root to the nearest tenth.
44
Math Response
Estimate the square root to the nearest tenth.
45
46
47
48
increasing
approximately
1
2
1.4
1.141
49
50
51
52
Multiple Choice
HINT: Convert Number to a decimal
A
B
C
D
53
Multiple Choice
Point B could represent which of the following numbers?
√24
√30
√35
√42
54
Multiple Choice
Which is the best approximation of point P?
√8
√2.8
17/5
2 1/4
55
Multiple Choice
Which best represents the position of 8 on the number line below?
Point P
Point Q
Point R
Point S
56
Multiple Choice
Point M
Point N
Point R
Point S
57
Multiple Choice
Which best represents the position of
Point P
Point Q
Point R
Point S
58
Multiple Choice
The longest side of a right triangle measures 17 inches. Which point in the number line most closely represents the value of 17 ?
Point W
Point X
Point Y
Point Z
59
Multiple Choice
Which point most closely corresponds to the √8 on the number line below? (Click the question to see the picture)
P
Q
R
S
60
Multiple Choice
61
Multiple Choice
Which point on the number line best represents 8 ?
Point M
Point N
Point P
Point Q
62
63
64
3.14
3.14
3.14
3.14
9.86
compare
65
Labeling
Approximate the location of each number square root on the number line.
66
Reorder
Order the following from least to greatest.
34π
21
5.1
28
67
Reorder
Reorder the following from least to greatest
9
82
3π
π2
68
Math Response
Although pi is an ongoing number, which numbers will you need to use for pi ?
69
Drag and Drop
70
Multiple Select
what is the definition of pi
select ALL that apply
it is the sixteenth letter in the greek alphabet
it has a represented value of 3.14
it has a represented value of 22/7.
Its something you eat...
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