Convert Metric Customary Units Find Perimeter or Area Find Area Volume? Area? Perimeter? 5 pt 5 pt 5 pt 5 pt 5 pt 10 pt 10 pt 10 pt 10 pt 10 pt 15 pt 15 pt 15 pt 15 pt 15 pt 20 pt 20 pt 20

Download Report

Transcript Convert Metric Customary Units Find Perimeter or Area Find Area Volume? Area? Perimeter? 5 pt 5 pt 5 pt 5 pt 5 pt 10 pt 10 pt 10 pt 10 pt 10 pt 15 pt 15 pt 15 pt 15 pt 15 pt 20 pt 20 pt 20

Convert
Metric
Customary
Units
Find
Perimeter or
Area
Find Area
Volume?
Area?
Perimeter?
5 pt
5 pt
5 pt
5 pt
5 pt
10 pt
10 pt
10 pt
10 pt
10 pt
15 pt
15 pt
15 pt
15 pt
15 pt
20 pt
20 pt
20 pt
20 pt
20 pt
25 pt
25 pt
25 pt
25 pt
25 1pt
John bought 5 meters of rope,
How many centimeters does he have?
5 m = _____cm
2
5 m = 500 cm
5 x 100
Going from bigger to
smaller you multiply!
2 jumps or x 100
3
Karen’s tape had a length of 31 mm
How many centimeters
of tape does Karen have?
31 mm = _______ cm
4
31 mm = 3.1 cm
Going from smaller to larger,
you divide, since you move to the left
one space you divide by 10
5
Nick ran 1.6 kilometers, how
Many meters did he run?
1.6 km = ______ m
6
1.6 km = 1600 m
Going from bigger to smaller
you multiply. To go from km to m
you multiply by 1000 or
move the decimal 3 places to the right.
7
Mike walked 5750 meters, how
many kilometers did he walk?
5750 m = _______ km
8
5750 m = 5.75 km
Divide by 1000 or move the decimal
three places to the left.
9
Peter caught 2 fish.
One weighed 5.1 kg and
the other weighed 4.8 kg.
How many grams of fish did he catch
in total?
10
Change the weight of the fish from
kilograms to grams and add them
5.1 kg = 5100 g
4.8 kg = 4800 g
Therefore 5100 + 4800 = 9900 grams
11
Joe had 4 quarts of soda.
How many pints did he have?
4 qt = ______ pt
2 pints = 1 quart
12
If 1 qt = 2 pt
4 qt = ____ pt
4 qt = 8 pt
13
Paul played soccer for about 3 hours each day
for 20 days. How many hours is this?
14
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
15
Mr. L bought 36 ounces of peanuts. If
16 oz = 1 pounds, how many pounds
of peanuts did he buy?
16
Mr. L bought 36 ounces of peanuts. If
16 oz = 1 pounds, how many pounds
of peanuts did he buy?
oz
16 36


pounds 1
?
Cross Multiply
16? = 36
? = 36 ÷ 16
? = 2.25 pounds
17
Isabel read a book for 750 minutes. How
many hours is this?
18
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
19
Put the correct units of measure on the
following questions
G
Km
Pounds
Meter
a) 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?
20
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)
21
How much wood does John need
to surround his door way?
3 ft
6 ft
2 ft
22
3 ft
6 ft
2 ft
Add all the sides
3 + 3 + 6 + 6 +2 = 20 ft
John needs 20 feet of wood for a border around his door
23
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, then
SA = (Top + Side + Front) x 2
h = 4 ft
w = 3 ft
l = 5 ft
24
h = 4 ft
w = 3 ft
l = 5 ft
Area Front = 5 x 4 = 20 ft²
Area of Side = 3 x 4 = 12 ft²
Area of Top = 5 x 3 = 15 ft²
SA = (Front + Side + Top) x 2
(20 + 12 + 15) x 2
(47 x2) = 94 ft²
25
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
26
Given
C = ∏d
= 3.14 x 5
= 15.7 ft
d=5
So Lauren will need 15.7 ft or
about 16 feet of rope to
surround the circular table.
27
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.
28
Since a regular shaped pentagon
has all the sides equal. If the pentagon
Has 5 sides and each side is 8 in
5 x 8 = 40 inches of wood
8 in.
29
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.
12 m
?m
?m
20 m
14 m
24 m
30
12 m
8m
12 m
20 m
14 m
24 m
John needs
12 + 20 + 24 + 14 + 12 + 8 = 88 meters of fencing
31
John painted a picture that had an area of
50 in². What is the amount of area around
the picture that is not painted?
10 in
12 in
32
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
120 in²
50 in²
10 in
12 in
33
Tom painted a large triangle on his wall.
What is the area of the triangle?
Area = (b x h ÷ 2)
or
Area = ½ (bxh)
9 ft
15 ft
34
9 ft
15 ft
Tom will paint 65.5 ft²
AREA = (b x h ÷ 2)
(15 x 9 ÷ 2)
(135 ÷ 2) = 67.5 ft²
35
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
Area = ∏r²
radius = 6 in
36
Marty used the formula
AREA of Circle = ∏r²
3.14 x 6 x 6
113.04 in²
Area = ∏r²
radius = 6 in
37
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 = ½ (a + b)h
a = 10 ft
h = 12 ft
b = 15 ft
38
A = ½ (a + b)h
a = 10 ft
h = 12 ft
b = 15 ft
A = ½ (10 + 15)x12
= ½ (150) x 12
= 75 x 12
= 900 ft²
39
Find the area and perimeter of Johns new backyard
20 m
?m
?m
31 m
24 m
38 m
40
20 m
AREA = 38 x 24 = 912 m²
7m
18 m
31 m
24 m
AREA = 20 x 7 = 140 m²
38 m
Perimeter =
20 + 31 +38 + 24 + 18 + 7 = 158 m
TOTAL AREA
912 + 140 = 1052 m²
41
John wanted to fill a rectangle
prism with sand for a paper
weight. What is the volume of
the container?
h = 5 mm
Volume = l w h
w = 2 mm
l = 3 mm
42
Volume = l x w x h
=3x2x5
= 30 mm³
h = 5 mm
w = 2 mm
l = 3 mm
43
John wanted to create a dog pen that is 20 m³.
What are some of the possible dimensions of
his dog pen?
h=?m
b=?m
44
Possible dimensions for an area of 20 m³:
1 x 20
20 x 1
2 x 10
10 x 2
4x5
5x4
h=?m
b=?m
45
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?
46
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.
10 in
40 ÷ 4 = 10 in
So each side
would measure
10 inches
10 in
10 in
10 in
47
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 in
w = 2 in
48
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!
h = 2 in
l = 12 in
w = 2 in
49
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?
50
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?
51