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Warm Up: On the back of your lab sheet, answer the following questions. Agenda 2 3) Which of the following shapes are parallelograms? Explain how you know. A. B. C. D. 1) What is the area of this shape? 2) What is the area of this rectangle? A = 6 sq units A = 24 sq units Shape A, B and D are all parallelograms!

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Agenda: OBJECTIVE: As a result of this lesson you will be able to find the area of any parallelogram. 1) Warm Up 2) Launch – Building Blocks A, B & C 3) Explore – Partners: Area of Parallelogram 4) Summary – Formula for Area of Parallelogram 5) Practice – Interleaving 6) Assessment – Exit Ticket 3

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Launch A Agenda 4 What is the definition of a parallelogram? A parallelogram is a quadrilateral that has 2 pairs of parallel sides. Opposite sides have the same length and opposite angles have equal measurements. Vocabulary

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Launch B Agenda 5 Can you quickly find the area of this parallelogram by counting the unit squares? Area = 12 square units 12345 678910 11 12 (Wait time: 30 seconds)

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Launch B Agenda 6 Can you quickly find the area of this parallelogram by counting the unit squares?

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Launch B Agenda 7 Your challenge: Develop a more efficient method to determine the area of the parallelogram. “I don’t have all day. Counting takes way too long!”

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Launch C Agenda 8 Did you have to count squares to find the area of the rectangle? NO! Multiplying length x width is a more efficient method for finding the area of a rectangle than counting squares. A = 6 sq units A = 24 sq units What does it mean to find an efficient method? Remember the warm up problems?

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Launch C Agenda 9 Let’s consider the first shape in the Warm Up. How could decomposing (cutting) and composing (putting back together) into another shape help you find the area of this shape?

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Explore Agenda 10 Part 1 - (10 Min) Work with your PARTNER to find an efficient method of finding the area of a parallelogram. You will get a parallelogram and a pair of scissors. You can: -Write on the shape -Draw on it -Use scissors on it 1-Partners 2-Share Out 3-Worksheet In 10 minutes you will be asked to stop and think about it! HINT

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Explore Agenda 11 You can decompose (cut) and recompose (paste) the parallelogram. Think about how you can recompose it to make it easier and more efficient! RETURN

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Explore – Student Share Out Agenda 12 Part 2 - (3 Min) Complete #1-5 on Classwork. Classwork Questions

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Explore – Complete top half of worksheet Part 3 - (5 Min) Agenda 13 Fill out the top half of your worksheet.

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Summary – Sharing Questions #1-5 Agenda 14 #1) Explain what you did to find a quicker way to find the area of the parallelogram.

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Summary – Sharing Questions #1-5 Agenda 15 #2) Draw the shapes you decomposed (cut apart) your parallelogram into. Do you know the names of these shapes? #3) Did you create any new shape or shapes by composing (putting back together in a different way)?

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Summary – Sharing Questions #1-5 Agenda 16 #4) What dimensions does your new shape (rectangle) have? original parallelogram 12 cm 8 cm The base is The base is 12 cm.The height is 8 cm. #5) Can you identify those dimensions on the original parallelogram? also 8 cm.also 12 cm....?The height is...? rectangle 12 cm 8 cm

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Summary – Interactive Worksheet Agenda 17 We are going to complete the rest of the worksheet together. You will fill in the boxes at the bottom of the first side as we go.

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Summary Agenda 18 original parallelogramrectangle 12 cm 8 cm 96 sq cm = 12 cm x 8 cm Area = base x height A = b x h #6) The base and the height in the rectangle match the base and height in the parallelogram!

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Summary Agenda 19 Let’s look at the example from earlier today… 6 cm 2 cm 6 cm 2 cm A = b x h = 6 x 2 = 12 cm 2 Okay, so that worked with one parallelogram. But can any parallelogram be decomposed and composed into a rectangle with the same base and height?

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Summary Agenda 20 So…. could we find the area of this rectangle without cutting and changing it to a rectangle? Write the formula in your summary in #7.

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Summary Agenda 21 A = b x h #7) Now that you know this is the formula for area of a parallelogram, what dimensions must you always know in order to find area? base and height #8) If we don’t rearrange the shape into a rectangle, could we still find the height? Yes, the height is the perpendicular distance from the top to the base. Copy this in #8. Height Base

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Summary Agenda 22 #10) Answer this question: Do you need to know this length in order to find the area of the parallelogram? No, you only need the base and height. #11) Answer this question: When would you need to know this length? You would need to know the slant height to measure perimeter. #9) Answer this question: Can you tell what the length of the other side (the slant height) of the parallelogram is? No, not exactly 12 cm 8 cm slant height?

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Summary Agenda 23 #12) Oops! Your sleepy friend slept through the last 20 minutes of class! Can you help her out? In the space for #12, write her a note explaining what you learned so far today. Use complete sentences. (2 minutes) Scaffolding

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Summary Agenda 24 #12) Oops! Your sleepy friend slept through the last 20 minutes of class! Can you help her out? In the space for #12, write her a note explaining what you learned so far today. Use complete sentences. (2 minutes) Scaffolding Sentence Starter “Good morning Sleepyhead, Today we learned about finding the area of parallelograms. To find the area of a parallelogram, you need to…”

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Practice – Interleaving Worksheet Agenda 25 Many kids learn better when the alternate solving problems with their teacher. Watch me solve one, and then you’ll do one, then I’ll do one…

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Practice Agenda 26 #1) 16 cm 8 cm 10 cm base = _____ height = ____ 16 cm 8 cm #2) 20 in 14 in 17 in height = ______ base = _____ 20 in 14 in

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Practice Agenda 27 #3) 20 ft 14 ft 18 ft base = _____ height = ____ 20 ft 14 ft #4) 48 m 27 m 32 m height = ______ base = _____ 48 m 27 m

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Practice Agenda 28 #5) 16 in 22 in 28 in base = _____ height = ____ 16 in 22 in #6) 30 m 45 m 55 m height = ______ base = _____ 30 m 45 m

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Practice Agenda 29 #7) 10 ft 8 ft 12 ft base = _____ height = ____ 12 ft 8 ft #8) 18 cm 20 cm 25 cm height = ______ base = _____ 25 cm 18 cm

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Practice: Which rectangle has the same area as the green parallelogram? Agenda 30 #9) 13 m 7 m 9 m A. 9 m 13 m B. 7 m 13 m #10) 30 in 35 in 40 in A. 35 in 30 in B. 40 in 30 in

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Practice: Which rectangle has the same area as the blue parallelogram? Agenda 31 #11) 23 ft 16 ft 19 ft A. 16 ft 23 ft B. 19 ft 23 ft #12) 32 cm 16 cm 20 cm B.B. 16 cm 32 cm A.A. 20 cm 32 cm

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Practice: What is the area of the parallelogram? Agenda 32 #13) 8 in 4 in #14) 7 ft 9 ft A = b x h A = 8 in x 4 in A = 32 in 2 A = b x h A = 7 in x 9 in A = 63 ft 2

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Practice: What is the area of the parallelogram? Agenda 33 #15) 12 m 6 m A = b x h A = 12 m x 6 m A = 72 sq. m #16) 15 cm 3 cm A = b x h A = 15 cm x 3 cm A = 45 sq. cm 6.7 m 5.4 cm

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Practice: What is the area of the parallelogram? Agenda 34 #17) 9 in 13 in A = b x h A = 9 in x 13 in A = 117 in 2 A = b x h A = 14 cm x 5 cm A = 70 cm 2 15 in #18) 14 cm 5 cm 7 cm

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Practice: What is the area of the parallelogram? Agenda 35 A = b x h A = 6 ft x 3.2 ft A = 19.2 ft 2 A = b x h A = 9 m x 4.5 m A = 40.5 m 2 6 ft #19) 3.2 ft 5.8 ft 6 ft #20) 4.5 m 6.1 m 9 m

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