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
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
SHOW WORK!
CW p.7 (card sort)
p.7 (all)P
D,H,L,M,N,Q,UIrrational