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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. - PowerPoint PPT Presentation

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5 pt

Convert Metric

CustomaryUnits

Find Perimeter or

AreaFind Area

Volume?Area?

Perimeter?

2

John bought 5 meters of rope,How many centimeters does he have?

5 m = _____cm

3

5 m = 500 cm5 x 100

Going from bigger to smaller you multiply!

2 jumps or x 100

4

Karen’s tape had a length of 31 mmHow many centimeters

of tape does Karen have?31 mm = _______ cm

5

31 mm = 3.1 cm

Going from smaller to larger,you divide, since you move to the left

one space you divide by 10

6

Nick ran 1.6 kilometers, how Many meters did he run?

1.6 km = ______ m

7

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.

8

Mike walked 5750 meters, howmany kilometers did he walk?

5750 m = _______ km

9

5750 m = 5.75 km

Divide by 1000 or move the decimalthree places to the left.

10

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?

11

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

12

Joe had 4 quarts of soda.How many pints did he have?

4 qt = ______ pt

2 pints = 1 quart

13

If 1 qt = 2 pt

4 qt = ____ pt

4 qt = 8 pt

14

Paul played soccer for about 3 hours each day for 20 days. How many hours is this?

15

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

16

Mr. L bought 36 ounces of peanuts. If 16 oz = 1 pounds, how many pounds of peanuts did he buy?

17

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

18

Isabel read a book for 750 minutes. How many hours is this?

19

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

20

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?

21

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)

22

How much wood does John needto surround his door way?

3 ft

6 ft

2 ft

23

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

24

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

25

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

26

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

27

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

28

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.

29

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.

30

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

31

24 m

12 m

14 m

12 m

20 m

8 m

John needs12 + 20 + 24 + 14 + 12 + 8 = 88 meters of fencing

32

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

33

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

34

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)

35

Tom will paint 65.5 ft²AREA = (b x h ÷ 2) (15 x 9 ÷ 2) (135 ÷ 2) = 67.5 ft²

9 ft

15 ft

36

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

37

Marty used the formulaAREA of Circle = ∏r² 3.14 x 6 x 6 113.04 in²

radius = 6 in

Area = ∏r²

38

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

39

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

40

38 m

? m

24 m

20 m

31 m

? m

Find the area and perimeter of Johns new backyard

41

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

42

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

43

Volume = l x w x h = 3 x 2 x 5 = 30 mm³

h = 5 mm

l = 3 mm

w = 2 mm

44

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

45

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

46

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?

47

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

48

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

49

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!

50

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?

51

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?

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