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57 Rational and Irrational.notebook December 03, 2013
A B C
D E F
G H I
J K L
√4
-√36
15.5
17
17
1 135
13
√49
8 √40
2√17
57 Rational and Irrational.notebook December 03, 2013
M N O
P Q R
S T U
V W X
103
11.5
172
0.6
-√47 √144
√121362
√111
√82 -√52
14.12
57 Rational and Irrational.notebook December 03, 2013
A number that can be written in the form , where a and b are integers and b ≠ 0.
ab
1) _____________________________________
2) _________________________________________
3) _________________________________________
LT 2ab:
Define:RationalNumber
A number that cannot be written as the quotient of two integers.
examples:
I can determine if a number is rational or irrational. I can classify the sum and product of rational and irrational numbers.
1.
p.5Unit 5
Define:IrrationalNumber
examples:
1) _____________________________________
2) _________________________________________
Identify each number as rational or irrational.
2. 3. 4. 5.
6. 121 7. 8. 9. 10. 4.2
√196 √ 121
√ 0√23
√ 4 25
17
45√
0.75
57 Rational and Irrational.notebook December 03, 2013
Classify sums:
Rational + Rational =
Irrational + Irrational =
Rational + Irrational =
Classify Products:
Rational * Rational =
Irrational * Irrational =
Rational * Irrational =
Summary:
1. 2( )15
p.6Unit 5
You try: Simplify and classify each expression as rational or irrational.
2. 3. 6√ 3√ 3√
12√4. 5. 6. 5 +
√12
5( )2√ 7 +√ 7√
57 Rational and Irrational.notebook December 03, 2013
55 10 1515 10 0
CW p.7 (card sort) P p.7 (all)
Card sort: Sort cards into two piles: Rational and Irrational. Record your answers below.
p.7Unit 5
Rational Irrational
Card sort: Arrange the cards from least to greatest. Record the answers on the number line below.
For 18, simplify and classify the expressions as rational or irrational.
1. 2.
3.
16√
4√
4.
5. 6.
5 +
√ 25
7( 6 )√
9 + 7√
7.
1 +√ √
8.
64
12 +√ √12 3√ √ 3
2( 9 )√
57 Rational and Irrational.notebook December 03, 2013
IF Checking:
Estimate. (no calculator)
√1636
Mental Math
Box 2
55103 3600
49505152535455565758596061626364
100101102103104105106107108109110111112113114115116117118119120121
p.34
will need a calculator today.
57 Rational and Irrational.notebook December 03, 2013
p.3 answers1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 2251.
2. 3. 4. 5.4 7 15 25
6. 7. 8. 9.9 and 10 2 and 3 4 and 5 10 and 1110. 11. 12. 13.≈ 7.4 or 7.3
≈ 7.9 or 7.8
≈ 6.1 ≈ 10.2 or 10.1
14. 15.
16. 17.
11 ft ≈ 31.6 m≈ 3.2 m or 3.1 m
≈ 12.2 m or 12.3 m
p.4 answersIt grew perfect square roots.
57 Rational and Irrational.notebook December 03, 2013
3414
757
57 Rational and Irrational.notebook December 03, 2013
A number that can be written in the form , where a and b are integers and b ≠ 0.
ab
1) _____________________________________
2) _________________________________________
3) _________________________________________
LT 2ab:
Define:RationalNumber
A number that cannot be written as the quotient of two integers.
examples:
I can determine if a number is rational or irrational. I can classify the sum and product of rational and irrational numbers.
1.
p.5Unit 5
Define:IrrationalNumber
examples:
1) _____________________________________
2) _________________________________________
Identify each number as rational or irrational.
2. 3. 4. 5.
6. 121 7. 8. 9. 10. 4.2
√196 √ 121
√ 0√23
√ 4 25
17
45√
0.75
1) All fractions are Rational2) All decimals that terminate are Rational3) All decimals that repeat are Rational
1) A decimal that goes on forever with NO pattern
2) All other #'s that don't satisfy rational # rules.
57 Rational and Irrational.notebook December 03, 2013
Classify sums:
Rational + Rational =
Irrational + Irrational =
Rational + Irrational =
Classify Products:
Rational * Rational =
Irrational * Irrational =
Rational * Irrational =
1. 2( )15
p.6Unit 5
You try: Simplify and classify each expression as rational or irrational.
2. 3. 6√ 3√ 3√
12√4. 5. 6. 5 +
√12
5( )2√ 7 +√ 7√
57 Rational and Irrational.notebook December 03, 2013
Summary:Rational Irrational
57 Rational and Irrational.notebook December 03, 2013
SHOW WORK!
CW p.7 (card sort)
p.7 (all)P
D,H,L,M,N,Q,UIrrational
57 Rational and Irrational.notebook December 03, 2013
p.7 answers
55 10 1515 10 0
K W O P I VG A FECJ T R X BS
NQ D H L M U
D, H, L, M, N, Q, U
Rational Irrational
1. 2.3. 4.
5. 6.7. 8.
R
R
R
R
R
Irr
Irr
Irr
![Rational, unirational and stably rational varietiespirutka/survey.pdf · could be rational (resp. stably rational, resp. retract rational) [30, p.282]. Unirational nonrational varieties](https://img.pdfslide.us/doc/110x75/5f8fad2d18211140cf6c6b61/rational-unirational-and-stably-rational-varieties-pirutka-could-be-rational.jpg)
