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1 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt Convert Metric Customary Units Find Perimeter or Area Find Area Volume? Area? Perimeter?

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2 John bought 5 meters of rope, How many centimeters does he have? 5 m = _____cm

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3 5 m = 500 cm 5 x 100 Going from bigger to smaller you multiply! 2 jumps or x 100

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4 Karen’s tape had a length of 31 mm How many centimeters of tape does Karen have? 31 mm = _______ cm

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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

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6 Nick ran 1.6 kilometers, how Many meters did he run? 1.6 km = ______ m

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7 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.

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8 Mike walked 5750 meters, how many kilometers did he walk? 5750 m = _______ km

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9 5750 m = 5.75 km Divide by 1000 or move the decimal three places to the left.

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10 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?

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11 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

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12 Joe had 4 quarts of soda. How many pints did he have? 4 qt = ______ pt 2 pints = 1 quart

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13 If 1 qt = 2 pt 4 qt = ____ pt 4 qt = 8 pt

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

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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

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

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17 Mr. L bought 36 ounces of peanuts. If 16 oz = 1 pounds, how many pounds of peanuts did he buy? Cross Multiply 16? = 36 ? = 36 ÷ 16 ? = 2.25 pounds

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

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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

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20 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?

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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)

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22 How much wood does John need to surround his door way? 3 ft 6 ft 2 ft

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23 Add all the sides 3 + 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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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, then SA = (Top + Side + Front) x 2 l = 5 ft w = 3 ft h = 4 ft

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25 l = 5 ft w = 3 ft h = 4 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

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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

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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

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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.

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29 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.

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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

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31 24 m 12 m 14 m 12 m 20 m 8 m John needs 12 + 20 + 24 + 14 + 12 + 8 = 88 meters of fencing

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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

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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

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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)

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

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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

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37 Marty used the formula AREA of Circle = ∏r ² 3.14 x 6 x 6 113.04 in² radius = 6 in Area = ∏r²

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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

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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

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40 38 m ? m 24 m 20 m 31 m ? m Find the area and perimeter of Johns new backyard

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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

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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 mm Volume = l w h

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43 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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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

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45 Possible dimensions for an area of 20 m³: 1 x 2020 x 1 2 x 1010 x 2 4 x 55 x 4 b = ? m h = ? m

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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?

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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

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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 in w = 2 in

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49 h = 2 in l = 12 in w = 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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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?

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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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Geometry Lesson 0 – 1 Changing Units of Measure Objective: Convert units of measure within the customary and metric systems.

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