# Lessons 76­80.notebook January 24, 2013

```Lessons 76­80.notebook
January 24, 2013
Investigation 10 - 20 points
1.
2.
3.
4.
5.
6.
1/2 x 1/3 =
1/4 x 2/3 =
1/4 x 1/3 =
1/4 x 2/3 =
1/4 x 1/3 =
12/12 or 1
1/6
1/6
1/12
1/6
1/12
9. P(w,w,w) = 0
P(g,g,g) = 1/5
e.
10.
7.
f. 1/12
11. H,H
8. g,w
w,g
w,w
sum
4/15
4/15
1/15
15/15 or 1
H,T
T,H
T,T
1/4
1/4
1/4
1/4
Lesson 76 - compare fractions by converting to decimal form
Example 1: Compare these fractions by converting to decimal form
Example 2: Compare using decimals
Lessons 76­80.notebook
January 24, 2013
Practice: Compare using decimal numbers
a)
b)
c)
d)
e)
f)
Lesson 78 - Identify and convert units of capacity
US Customary System
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 ounces
Metric System
1 liter = 1000 milliliters
The capacity of a 2-liter bottle is a little MORE than the capacity
of a 1/2-gallon container
>
Lessons 76­80.notebook
January 24, 2013
Example 1: A half gallon of milk is how many pints of milk?
Example 2: Which has the greater capacity, a 12-ounce soda pop
or a 1-pint container?
Practice:
a) What fraction of a gallon is a quart?
b) A 2-liter soda pop bottle has a capacity of how many milliliters?
c) A half gallon of orange juice will fill how many 8-ounce cups?
d) The entire contents of a full 2-liter bottle are poured into an
empty half-gallon carton. Will the half-gallon container overflow?
Lessons 76­80.notebook
January 24, 2013
Lesson 78 - 24 points
12.)
13.)
14.)
15.)
16.)
17.)
18.)
19.)
a) > b) >
1/3
75
2
4
9/16
1 7/9 or 16/9
a) 2 in.
b) 1/4 in.2
20.) True
21.) 26
22.) 1.36
23.) 30 inches
24.) C
25.) should not have more than 2
right angles
26.) 22 x 32 x 52
27.)
28.)
29.)
30.)
(-1,3)
a) 1/3
b) 16 cups
B. quart
16 ounces
Lesson 77 - Finding unstated information in fraction problems
Example: Diagram this statement. Then answer the questions.
Three fourths of the 28 students in the class are boys.
a) Into how many parts in the class divided?
b) How many students are in each part?
c) How many parts are boys?
d) How many boys are in the class?
e) How many parts are girls?
f) How many girls are in the class?
Lessons 76­80.notebook
January 24, 2013
Practice:
Diagram this statement. Then answer the questions.
Three eighths of the 40 little engines could climb the hill.
a) Into how many parts was the group divided?
b) How many engines were in each part?
c) How many parts could climb the hill?
d) How many engines could climb the hill?
e) How many parts could not climb the hill?
f) How many engines could not climb the hill?
Fact Test Practice:
Change the following decimals to REDUCED fractions or mixed
numbers:
1) 0.15
2) 2.4
3) 1.375
4) 9.02
5) 0.005
6) 0.625
Lessons 76­80.notebook
January 24, 2013
More Fact Test Practice:
Change the following fractions and mixed numbers to decimals:
7) 3/8
8) 3 3/10
9) 2/5
10) 11 1/8
11) 5 1/4
12) 7/8
More Fact Test Practice:
Change each decimal or fraction to a percent:
13) 0.32
14) 0.01
15) 0.045
16) 0.8
17) 3/4
18) 7/10
19) 4/5
20) 7/20
Lessons 76­80.notebook
January 24, 2013
More Fact Test Practice:
Change each decimal or fraction to a percent:
13) 0.32
14) 0.01
15) 0.045
16) 0.8
17) 3/4
18) 7/10
19) 4/5
20) 7/20
Lesson 77 - 24 points
1. 5 parts
2. 5 members
3. 2 parts
4. 10 members
5. 3 parts
6. 15 members
7. 6 parts
8. 50 members
9. 5 parts
10. 250 members
11. 1 part
12. 50 members
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
10 parts
\$600
3 parts
\$1800
7 parts
\$4200
100 parts
8 students
27 parts
216 students
73 parts
584 students
Lessons 76­80.notebook
January 24, 2013
Lesson 79 - 37 points
1. share?
2. >
3. 71 years
4. (a) false
5. (a) 10%
6. (a) 3/4
7. 120 mm2
8. 10
9. 27.12
10. 0.144
11. 800
12. 1/2
13. 5/6
14. 0.13
15. 0.012
16. 6 1/12
17. 7/12
old
(b) true
(b) 27 students (c) 1/9
(b) 1/4
(c) 25%
18. 400 sq. cm
19. 96.03
20. 62.8 cm
1. 24 cm2
2. 16 cm2
3. 10 in.2
4. 6 in.2
5. 60 mm2
6. 8 ft2
7. 24 cm2
8. 25 in.2
9. 20 mm2
10. 24 mm2
11. 39 m2
12. 45 cm2
Lesson 80 - finding scale factor to solve ratio problems
The ratio of boys to girls in the class was 3 to 2. If there were
6 girls, how many boys were there?
Ratio Box:
Ratio
Actual
3
2
6
What factor takes us from 2 to 6?
This is the SCALE FACTOR.
Lessons 76­80.notebook
January 24, 2013
Lesson 80 - finding scale factor to solve ratio problems
The ratio of flowers to weeds in the garden was 2 to 5. If there
were 30 flowers in the garden, how many weeds were there?
Ratio Box:
Ratio
Actual
SCALE FACTOR?
Practice:
1) The ratio of boys to girls in the cafeteria was 6 to 5. If there
were 60 girls, how many boys were there?
Ratio Box:
Ratio
Actual
SCALE FACTOR?
2) The ratio of ants to flies at the picnic was 8 to 3. If there
were 24 flies, how many ants were there?
Ratio Box:
Ratio
SCALE FACTOR?
Actual
Lessons 76­80.notebook
January 24, 2013
Lesson 80 - 25 points
4. (a) 16 in. (b) 12 in.2
5. (a) 12 in. (b) 6 in.2
6. trapezoid
7. true
8. 6 students
9. 25 cats
10. (a) 95% (b) 60%
11. 25%
12. <
13. 4 2/5 or 22/5
14. 0.125
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
1 1/3 or 4/3
3/8
2
1.4
1/2 or 0.5
0.072
70
0.43
35 grams
20 grams
Share?
Lesson 79 - 37 points
1. share?
2. >
3. 71 years
4. (a) false
5. (a) 10%
6. (a) 3/4
7. 120 mm2
8. 10
9. 27.12
10. 0.144
11. 800
12. 1/2
13. 5/6
14. 0.13
15. 0.012
16. 6 1/12
17. 7/12
old
(b) true
(b) 27 students (c) 1/9
(b) 1/4
(c) 25%
18. 400 sq. cm
19. 96.03
20. 62.8 cm
1. 24 cm2
2. 16 cm2
3. 10 in.2
4. 6 in.2
5. 60 mm2
6. 8 ft2
7. 24 cm2
8. 25 in.2
9. 20 mm2
10. 24 mm2
11. 39 m2
12. 45 cm2
```