Download 5-7 Rational and Irrational.notebook

5­7 Rational and Irrational.notebook
A
December 03, 2013
B
C
­17
√4
D
√49
F
E
5
-√36
G
H
1
7
J
I
√17
K
8
1 13
­2
1
3
L
­15.5
√40
5­7 Rational and Irrational.notebook
M
December 03, 2013
N
√82
O
-√52
­ 10
-√47
3
S
V
­0.6
√144
U
T
36
2
2
R
Q
P
­ 17
√121
√111
X
W
­11.5
14.12
5­7 Rational and Irrational.notebook
December 03, 2013
LT 2ab:
I can determine if a number is rational or irrational. I can classify the sum and product of rational and irrational numbers.
Define:
Rational
Number
p.5
Unit 5
a
A number that can be written in the form , b
where a and b are integers and b ≠ 0.
1) _____________________________________
2) _________________________________________
3) _________________________________________
examples:
Define:
Irrational A number that cannot be written as the quotient of two integers.
Number
1) _____________________________________
2) _________________________________________
examples:
Identify each number as rational or irrational.
1. √196
6. ­1 12
√
4 2. ­ 121
√
3. 1
7
4. ­ 45
√
5. 25
7. √ 23
8. 0.75
9. √ 0
10. 4.2
5­7 Rational and Irrational.notebook
Classify sums:
December 03, 2013
p.6
Rational + Rational = Unit 5
Irrational + Irrational = Rational + Irrational = Classify Rational * Rational = Products:
Irrational * Irrational = Rational * Irrational = You try: Simplify and classify each expression as rational or irrational.
1. 1
2( )
5
4. 5( )
√2
Summary:
2. √6 √ 3
3. √ 3 √ 12
5. √ 7 + √ 7
6. 5 + √ 12
5­7 Rational and Irrational.notebook
CW
p.7 (card sort)
December 03, 2013
P
p.7
p.7 (all)
Unit 5
Card sort: Sort cards into two piles: Rational and Irrational. Record your answers below.
Irrational
Rational
Card sort: Arrange the cards from least to greatest. Record the answers on the number line below.
­15
­10
­5
5
0
10
15
For 1­8, simplify and classify the expressions as rational or irrational.
1. 5 + √ 4
2. 7( 6 )
√
3. 9 + √ 7
4. 2( 9 )
√
5. √ 1 + √ 64
6. √16 √ 25
7. √12 + √ 12
8. √3 √3
5­7 Rational and Irrational.notebook
December 03, 2013
IF Box 2
Estimate. (no calculator)
103
100
101
102
103
104
49
105
106
50
107
51
108
109
52
110
53
111
112
54
113
55
114
115
56
116
57
117
118
58
119
59
120
121
60
61
62
63
64
­ 55
Checking: p.3­4
Mental Math 16
36
√
3600
will need
5­7 Rational and Irrational.notebook
December 03, 2013
p.3 answers
1. 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225
2.
3.
4
9 and 10
­2 and ­3
11.
10.
11 ft
≈ 3.2 m or 3.1 m
p.4 answers
5.
2
5
9.
4 and 5
12.
≈ ­7.9 or ­7.8
≈ 7.4 or 7.3
16.
­15
8.
7.
6.
14.
7
4.
13.
≈ 6.1
15.
17.
­10 and ­11
≈ 10.2 or 10.1
≈ 31.6 m
≈ 12.2 m or 12.3 m
It grew perfect square roots.
5­7 Rational and Irrational.notebook
December 03, 2013
1­4
3­4
5­7
7
5­7 Rational and Irrational.notebook
December 03, 2013
LT 2ab:
I can determine if a number is rational or irrational. I can classify the sum and product of rational and irrational numbers.
Define:
Rational
Number
p.5
Unit 5
a
A number that can be written in the form , b
where a and b are integers and b ≠ 0.
1) _____________________________________
1) All fractions are Rational
2) All decimals that terminate are Rational
2) _________________________________________
3) All decimals that repeat are Rational
3) _________________________________________
examples:
Define:
Irrational A number that cannot be written as the quotient of two integers.
Number
1) A decimal that goes on forever with NO pattern
1) _____________________________________
2) All other #'s that don't satisfy rational # rules.
2) _________________________________________
examples:
Identify each number as rational or irrational.
1. √196
6. ­1 12
√
4 2. ­ 121
√
3. 1
7
4. ­ 45
√
5. 25
7. √ 23
8. 0.75
9. √ 0
10. 4.2
5­7 Rational and Irrational.notebook
Classify sums:
December 03, 2013
p.6
Rational + Rational = Unit 5
Irrational + Irrational = Rational + Irrational = Classify Rational * Rational = Products:
Irrational * Irrational = Rational * Irrational = You try: Simplify and classify each expression as rational or irrational.
1. 1
2( )
5
4. 5( )
√2
2. √6 √ 3
3. √ 3 √ 12
5. √ 7 + √ 7
6. 5 + √ 12
5­7 Rational and Irrational.notebook
December 03, 2013
Summary:
Rational
Irrational
5­7 Rational and Irrational.notebook
CW
P
December 03, 2013
p.7 (card sort)
p.7 (all)
SHOW WORK!
Irrational
D,H,L,M,N,
5­7 Rational and Irrational.notebook
December 03, 2013
p.7 answers
Rational
Irrational
D, H, L, M, N, Q, U
K
­15
W
P I VG A
O
­10
­5
0
NQ
F E CJ
TR X
10
5
DH L
M U
1.
R
2. Irr
3.
Irr
4.
R
5.
R
6.
R
7.
Irr
8.
R
15
BS