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Convert Metric
CustomaryUnits
Find Perimeter or
AreaFind Area
Volume?Area?
Perimeter?
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John bought 5 meters of rope,How many centimeters does he have?
5 m = _____cm
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5 m = 500 cm5 x 100
Going from bigger to smaller you multiply!
2 jumps or x 100
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Karen’s tape had a length of 31 mmHow many centimeters
of tape does Karen have?31 mm = _______ cm
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31 mm = 3.1 cm
Going from smaller to larger,you divide, since you move to the left
one space you divide by 10
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Nick ran 1.6 kilometers, how Many meters did he run?
1.6 km = ______ m
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1.6 km = 1600 m
Going from bigger to smaller you multiply. To go from km to m
you multiply by 1000 ormove the decimal 3 places to the right.
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Mike walked 5750 meters, howmany kilometers did he walk?
5750 m = _______ km
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5750 m = 5.75 km
Divide by 1000 or move the decimalthree places to the left.
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Peter caught 2 fish.One weighed 5.1 kg and the other weighed 4.8 kg.
How many grams of fish did he catchin total?
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Change the weight of the fish fromkilograms to grams and add them
5.1 kg = 5100 g4.8 kg = 4800 g
Therefore 5100 + 4800 = 9900 grams
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Joe had 4 quarts of soda.How many pints did he have?
4 qt = ______ pt
2 pints = 1 quart
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If 1 qt = 2 pt
4 qt = ____ pt
4 qt = 8 pt
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Paul played soccer for about 3 hours each day for 20 days. How many hours is this?
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If Paul played soccer for about 3 hours each day for 20 days. Paul plays soccer of 60 hours. Since 1 day = 24 hours 1 day = 24 hours ½ day = 12 hours 2 ½ days = 60 hours
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Mr. L bought 36 ounces of peanuts. If 16 oz = 1 pounds, how many pounds of peanuts did he buy?
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Mr. L bought 36 ounces of peanuts. If 16 oz = 1 pounds, how many pounds of peanuts did he buy?
?
36
1
16
pounds
oz
Cross Multiply16? = 36? = 36 ÷ 16? = 2.25 pounds
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Isabel read a book for 750 minutes. How many hours is this?
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Isabel read a book for 750 minutes for the month. How many hours is this?
750 ÷ 60 = 12 ½ hours?
Isabel read for 12 ½ hours for the month
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Put the correct units of measure on the following questionsG Km Pounds Metera) What is the best unit to measure the weight of a paper clip?
b) What is the best unit to measure the trip from Hartford to West Hartford?
c) What is the best unit to weigh a backpack filled with books?
d) What is the best unit to measure the length of a house?
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G (g) Km (km) Pounds (lbs) Meter (m)
What is the best unit to measure the weight of a paper clip? g (Grams)
What is the best unit to measure the trip from Hartford to West Hartford? Km (Kilometers)
What is the best unit to weigh a backpack filled with books? lbs (Pounds)
What is the best unit to measure the length of a house? m (meters)
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How much wood does John needto surround his door way?
3 ft
6 ft
2 ft
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Add all the sides3 + 3 + 6 + 6 +2 = 20 ft
John needs 20 feet of wood for a border around his door
3 ft
6 ft
2 ft
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How much paper will Greg need to wrap the box? Find the surface area of the container. Remember find the area of the TOP, SIDE, and FRONT, thenSA = (Top + Side + Front) x 2
l = 5 ftw = 3 ft
h = 4 ft
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l = 5 ftw = 3 ft
h = 4 ft
Area Front = 5 x 4 = 20 ft²Area of Side = 3 x 4 = 12 ft²Area of Top = 5 x 3 = 15 ft²
SA = (Front + Side + Top) x 2 (20 + 12 + 15) x 2 (47 x2) = 94 ft²
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Lauren wants to make a circular table for her kitchen. Around the table, she want to put a border of rope. How much rope will she need? Find the circumference of the circle, if the diameter of the circle is 5 ft C = 2∏r C = ∏d
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Given C = ∏d = 3.14 x 5 = 15.7 ft
So Lauren will need 15.7 ft or about 16 feet of rope to surround the circular table.
d = 5
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Dan wanted to frame his picture using a regular shaped pentagon. How much wood will he need if one side of the pentagon measured 8 inches?
8 in.
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Since a regular shaped pentagonhas all the sides equal. If the pentagonHas 5 sides and each side is 8 in5 x 8 = 40 inches of wood
8 in.
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John’s backyard looked like the diagram below.How much fencing will he need to buy to surround his yard? Remember to find the missing lengths.
24 m
? m
14 m
12 m
20 m
? m
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24 m
12 m
14 m
12 m
20 m
8 m
John needs12 + 20 + 24 + 14 + 12 + 8 = 88 meters of fencing
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John painted a picture that had an area of 50 in². What is the amount of area around the picture that is not painted?
12 in
10 in
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The area around the picture is AREA = 12 x 10 = 120 in².Since the picture is 50 in². Subtract 50 from 120 to find the area that is not painted.120 – 50 = 70 in²
12 in
10 in
50 in²
120 in²
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Tom painted a large triangle on his wall.What is the area of the triangle?
9 ft
15 ft
Area = (b x h ÷ 2) or Area = ½ (bxh)
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Tom will paint 65.5 ft²AREA = (b x h ÷ 2) (15 x 9 ÷ 2) (135 ÷ 2) = 67.5 ft²
9 ft
15 ft
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Marty made a birdhouse, the front of the birdhouse was the shape of a triangle. What is the area of the door opening of the birdhouse? Let ∏ = 3.14
radius = 6 in
Area = ∏r²
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Marty used the formulaAREA of Circle = ∏r² 3.14 x 6 x 6 113.04 in²
radius = 6 in
Area = ∏r²
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John wants to fix his backyard with grass seed? What is the area of his backyard if it looked like this? Use the following formula!
a = 10 ft
b = 15 ft
h = 12 ft
A = ½ (a + b)h
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a = 10 ft
b = 15 ft
h = 12 ft
A = ½ (a + b)h
A = ½ (10 + 15)x12 = ½ (150) x 12 = 75 x 12 = 900 ft²
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38 m
? m
24 m
20 m
31 m
? m
Find the area and perimeter of Johns new backyard
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38 m
18 m
24 m
20 m
31 m
7 m
Perimeter =20 + 31 +38 + 24 + 18 + 7 = 158 m
AREA = 38 x 24 = 912 m²
AREA = 20 x 7 = 140 m²
TOTAL AREA 912 + 140 = 1052 m²
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John wanted to fill a rectangle prism with sand for a paper weight. What is the volume of the container?
h = 5 mm
l = 3 mm
w = 2 mmVolume = l w h
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Volume = l x w x h = 3 x 2 x 5 = 30 mm³
h = 5 mm
l = 3 mm
w = 2 mm
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John wanted to create a dog pen that is 20 m³.
What are some of the possible dimensions of his dog pen?
b = ? m
h = ? m
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Possible dimensions for an area of 20 m³:1 x 20 20 x 12 x 10 10 x 24 x 5 5 x 4
b = ? m
h = ? m
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John wanted to make a picture frame that has a perimeter of 40 inches. If John wanted to make a square frame, what would the dimensions of the frame be?
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Since a square has 4 congruent sides all the lengths of the sides must be the same length. So divide the
perimeter by 4 to get the length of each side.
40 ÷ 4 = 10 in
So each side would measure 10 inches
10 in
10 in
10 in
10 in
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John wanted to ship a gift to his sister in California. The volume of the gift is 30 in³. Will the box he bought be the right size for the gift?
h = 2 in
l = 12 inw = 2 in
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h = 2 in
l = 12 inw = 2 in
Volume = l x w x h = 12 x 2 x 2 = 48 in³
Since the gift is 30 m³ and the box is 48 m³. The gift should fit in the box, because the volume of the gift is smaller than the box!
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Karen has rock that measures l = 50 cm, w = 8 cm and h = 20 cm. What is the volume of the following rock? Will the rock fit in a container that has a volume of 7500 cm³?
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If the rock measures l = 50 cm, w = 8 cm and h = 20 cm.
Volume of Rock = l x w h 50 x 8 x 20 8000 cm³
The rock will not fit into the container because the volume of the rock is larger than the container, 7500 cm³?