6-1 Ratios January 18 6-3

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6-1
Ratios
January 18
A class of 24 students has 15 boys.
What ratio compares the number of girls to boys in the class?
(HINT: first, find the number of girls in the class)
a.
b.
3:5
5:3
c.
d.
3:8
8:3
6-3
Rate of Change and Slope
Number of
Apples
3
7
11
Number of
Seeds
30
70
110
January 20
What is the constant increase in
the number of seeds?
What is the constant increase in
the number of apples?
Find the rate of change: increase in seeds
increase in apples
Write 4 decimal values that are between 1/5 and ¼
Find the unit rate for each package of water:
6- pack for $3.79 9-pack for $4.50
12-pack for $6.89
6-2
Rates
January 19
Find each unit rate:
90 miles = ? miles
15 gal
1 gallon
Flower Arrangement
Lilies
4
Roses
18
Snapdragons
6
6-4
Customary Units
January 23
Complete each conversion:
5 lbs = 1 lb
$2.49 $???
152 feet =
16 sec
Simplify each ratio:
? feet
1 sec
3 lb = ____ oz
12 qt = _____ gal
28 in = _____ ft
For each percentage of work completed, find the fraction of
work that would be REMAINING.
Lilies: roses
80%
Snapdragons: lilies
Roses: flowers
40%
25%
76%
6-5
Metric Units
January 24
Complete each conversion:
3.7 m = _____ cm 550 m = _____ km
6-6
2.24 = m – 0.79
m + 0.79 = 2.24
c.
d.
Determine if the ratios are equivalent:
24 points in 4 games
72 points in 8 games
2.
Which amount of chocolate has the best unit rate?
12 oz for $2.50
18 oz for $3.69
24 oz for $4.95
3.
5 feet 6 inches plus 3 inch heels = how many inches?
4.
Determine if the quantities in each pair of ratios are
proportional: 8 pages in 5 minutes and 40 pages in 25
minutes?
5.
It took 45 minutes to fill a pool to a uniform level of 18
inches. At this rate, how long will it take to fill the pool
to a level of 35 inches?
m = 2.24 x 0.79
m + 2.24 = 0.79
Solving Proportions
January 26
1.
1460 mg = ____ g
Asha had some change in her purse. After her brother gave
her $0.79, Asha had $2.24 altogether. Which equation can
she use to find the original amount of money m she had in
her purse?
a.
b.
Review
January 25
Solve each proportion
5/6 = t/18
6/k = 24/28
21/5 = c/7
Multiply. Write in simplest form
3 ½ x 5 7/8
1 2/3 x 5 4/5
2 1/4 x 7 5/8
6-8
Scale Drawings
January 30
A model of a tree is made using a scale of 1 inch: 25 feet.
What is the height of the actual tree if the height of the model
is 4 inches?
Review
1.
Determine if the ratios are equivalent:
18 out of 24 and 5 out of 20
2.
Which bottle of shampoo costs the least per ounce?
Bottle
Price
8 oz
$1.99
12 oz
$2.59
16 oz
$3.19
3.
Find the slope of the given line, and then explain what
the slope represents.
Amount Weeks
($)
30
1
60
2
90
3
Based on the measurements, find the area of each circle.
d = 36 ft
6-9
r = 7 in
February 1
d=9m
Fractions, Decimals, Percents
January 31
Explain why 80%, 0.8 and 4/5 all represent the same value.
4. A bucket contains 6 quarts 1 pint of paint. Ann pours 3
quarts 1 pint of additional paint into the bucket. What is
the total amount of paint in the bucket?
Mrs. Hart made 64 ounces of punch. The punch contained
17 ounces of apple juice. Which equation can be used to find
x, the percent of apple juice in the punch?
a.
b.
x/100 = 64/17
x/17 = 64/100
c.
d.
x/17 = 64/100
x/100 = 17/64
Review
February 2
1.
Mia put 2 ½ gallons of milk in the refrigerator. How
many pints of milk are equal to 2 ½ gallons?
2.
If 3 televisions weigh 240.6 pounds, how much do 9 of
the same televisions weigh?
3.
Washington, D.C, and Baltimore, Maryland, are 2
inches apart on a map. If the scale is ½ inch: 6 miles,
what is the actual distance between the cities?
4.
A quarter is made of 1/12 nickel, and the rest is
copper. Write the portion of a quarter that is copper as
a percent. Round to the nearest hundredth if
necessary
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