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Lesson Plan for SS 1.1 (50 minutes): Target: I can compare measurements in similar figures. 8 minutesWarm-up: 10 minutesClasswork: Intro to new unit 1.1 Similarity p. 2 in packet 10 minutesAdd to Vocabulary to Tool Kit similar figures, image, copy factor (%), perimeter, area Note: Give students time to sketch examples and practice labeling with marks congruent sides and angles. 10 minutesWork with table group to complete p. 3 to measure the two figures. 10 minutesClasswork: Review answers to make sure answers are accurate. 2 minutesReminders: Homework is a Zaption video on SS 1.2. Complete notes on pg. 4. MathXL – 30 mins this week.
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Quick Start Expectations 1.Teaching Target: I can compare measurements in similar figures. 2. Read over your new Learning Log for the new unit: 1) Complete Notes on pg. 4 of SS Inv. 1 packet by watching the Zaption Video Tour for SS 1.2 2) Math XL – 20 mins this week 3. Warm-up: 1.What is the name of our next unit? Stretching and Shrinking (SS) 2.
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(Stretch to make odd shapes) Drawing to scale isn’t just Stretching and Shrinking randomly. This unit will teach you how to draw to scale.
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STRETCHING & SHRINKING UNIT SS 1.1: An Introduction to Similarity In this investigation, you will make scale drawings of figures. Your scale drawings will have the same shape as the original figure, but may be larger or smaller. The drawings will help you explore how some properties of a shape change when the shape is enlarged or reduced. Inv. 1 packet p. 2
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The Mystery Club at PI Middle School meets monthly. One day, a member announces that the school is having a contest. A teacher in disguise will appear for a few minutes at school each day for a week. Daphne manages to get a picture of the mystery teacher standing next to some magazines. She knows that the height of the PI Monthly magazine is 12 inches. How do you think Daphne can use the PI Monthly magazine and picture to estimate the teacher’s height?
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The teacher advisor to the Mystery Club says that the picture is similar to the actual scene. What do you think the advisor means by similar? Is it different from saying that two students in your class are similar?
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The Mystery Club has a small flyer with their logo on it, but they want to make a large poster to attract new members. The large poster will feature the club’s logo, “Super Sleuth,” in a larger size. How does the general shape of the logo in the small flyer compare to the logo in the large poster? The original and its image are similar figures. original image
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Use the class lab sheet:
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original image The general shapes of the two figures are the same.
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Vocabulary Toolkit: The figure that results from some transformation of a figure. In mathematical terms, similar figures have the same shape but may have different sizes.
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Work with your table group to complete the table with measurements and compare the two figures on LS 1.1
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image original
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image The lengths of the corresponding line segments are different. The image lengths are twice as long as the corresponding lengths in the original.
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original image The perimeters of the body and the hat in the image are twice as long as those in the original. The perimeter, which is the sum of these doubled line segments, will also double.
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original image Doubling each side individually and then finding the perimeter is the same as finding the perimeter and then doubling it. This is the Distributive Property: 2ℓ+2ℓ+2w+2w=2(ℓ+ℓ+w+w)
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original image The angles in the image are the same as the corresponding angles in the original.
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In mathematical terms, similar means that two figures have the same shape but may have different sizes. The shapes of figures and their angle measures are the same. Their side lengths, perimeters, and areas are different.
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Reminders: Homework is a Zaption video on SS 1.2. Complete notes on pg. 4. MathXL – 30 mins this week.
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Pg. 4 When you encounter a new problem, it is a good idea to ask yourself: WHAT determines whether two shapes are similar? WHAT is the same and what is different about two similar figures? HOW are side lengths, areas, & scale factors related. HOW can I use similar figures to find missing measurements?
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