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3.2 How Can I Measure An Object? Pg. 7 Units of Measure
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3.2 – How Can I Measure an Object?______ Units of Measure How tall are you? How large is the United States? How much water does your bathtub at home hold? All of these questions ask about the size of objects around you. How can we answer these questions more specifically than saying "big" or "small"? Today you will be investigating ways to answer these and other questions like them.
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3.13 – UNITS OF LENGTH Length often provides a direct way to answer the question, "How big?" In this activity, your teacher will give your team rulers with a unit of length to use to measure distances. For instance, if you have an object that has the same length as three of your units placed next to each other, then the object's length is "3 units."
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a. Common units you may have used before are inches or meters. Today you are going to measure in inches or centimeters, based on your teachers assignment. Team Captains and Facilitators – Centimeters Reporters and Resource Managers – Inches
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b. Find the dimensions of the shape at right using your unit of length. That is, how wide is the shape? How tall? Compare your results with those of other teams. MURAL
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12 34567
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12 34567
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9.7cm Width:Height: 3.8 in 8.7 cm 3.5 in
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c. The local baseball club is planning to make a mural that is the same general shape as the one you measured above. The club plans to frame the mural with neon tubes. Approximately how many units of neon tube will they need to do this?
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12 34567 12 34567 12 34567
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31.7 cm Perimeter: 12.8 in
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d. To paint the mural, the wall must first be covered with a coat of primer. How much of the wall will need to be painted with primer? Remember that the measurement of the region inside a shape is called the area of the shape. What is the approximate area of the mural? That is, how many of your square units fit within your shape?
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12 34567 12 34567
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Area: 55.2 cm 2 10.5 in 2
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Perimeter: Length around a shape. Measured in u cm, in, ft, yd
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Area: Square units inside a shape. Measured in u 2 cm 2, in 2, ft 2, yd 2 1u1u 1u21u2 1u1u 1u1u 1u21u2 1u1u 1u1u 1u21u2 1u1u 1u1u 1u21u2 1u1u 1u1u 1u21u2 1u1u 1u1u 1u21u2 1u1u
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3.4 –COMPOSITE SHAPES Find the perimeter and/or total area of the shaded figures. Show all work.
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6 3 6 3 6+3+6+3 = 18un (6)(3) = 18un 2
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7 6 2 2 5 4 26 un
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7 6 2 2 5 4 20 12 32 un 2
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2 3 32 un 15 24 39 un 2
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9 9 9 6 6 6 90 un 324 un 2
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256 un 2 (24)(12) – (8)(4) 288 – 32
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3.15 –WORKING BACKWARDS Given the area of the shape, find the missing side length. Don’t forget units.
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A = bh 126 =(18)(x) 18 18 x =7ft
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A = bh 64 = x2x2 x =8in
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A = bh 14 =x(x-5) 14 = x 2 – 5x 0 = x 2 – 5x – 14 x x -7 +2 (x-7)(x+2) = 0 x = 7mi x = -2mi
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