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Published byStuart Dixon Modified over 9 years ago
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TEACHER NOTES 1.IT IS CRUCIAL THAT THE CONCEPT AND SPECIFIC INFORMATION ABOUT SCALE FACTOR IS THOROUGHLY TAUGHT IN THIS LESSON AS BECAUSE ONE OF THE THREE SECTIONS ON TOMORROW’S QUIZ FOCUSES ON THIS CONCEPT!
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Quick Start Expectations 1.Quiz Tomorrow! 2.Fill in planner and HWRS HW: F&W p. 18-23 #10 a-b, 26-28 3.Get a signature on HWRS 4.On desk: journal, HWRS, pencil, pen 5.Warm Up: next slide… back of HWRS
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Warm Up:
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Solve for Surface Area The following polyhedron is a cube. 12 feet Front = 12 x 12 = 144 SA= 144 x 6 = 864 square feet Why can I solve it this way??
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What are the two key words that explain what you will explore today? SCALE FACTOR
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Calculate the Surface Area and the Volume of a 1 x 1 x 1 rectangular prism. SA = 6 sq. in. Vol = 1 cubic in. What happens when you double the length (only) ? (1 dimension) What is the SA? What is the Volume? SA = 10 sq. in. Vol = 2 cubic in.
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What happens when you double the length AND the width? What is the SA? What is the Volume? What happens when you double the length, the width, AND the height? (3 dimensions) What is the SA? What is the Volume? SA = 16 sq. in. Vol = 4 cubic in. SA = 24 sq. in. Vol = 8 cubic in. (2 dimensions)
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What happens to the SA… when you apply a scale factor of 2? All 3 dimensions are multiplied by 2. What is the relationship between the original SA and the new SA? What is the relationship between the scale factor and how many times larger the SA is? What happens to the Volume… when you apply a scale factor of 2? All 3 dimensions are multiplied by 2. What is the relationship between the original Vol. and the new Vol.? What is the relationship between the scale factor and how many times larger the Vol. is?
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Together as a class… Double any ONE of the dimensions – length, width or height Triple any ONE of the dimensions – length, width or height Halving any ONE of the dimensions – length, width or height
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V = You can find these answers by multiplying the original box volume by the f 3 (V x 2 x 2 x 2) (V x 1.5 x 1.5 x 1.5) (V x 0.5 x 0.5 x 0.5) V = 4 x 8 x 12 = 384 cubic in.
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30 m = 3,000 cm 3,000 200 = 15 cm Work in Groups… 25 x 200 = 5,000 cm or 50 meters long
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20 cm 2 200 2 x = 800,000 cm or 80 m 2 2 100 cm 3 200 3 x = 800,000,000 cm or 800 m 3 3
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Exit Ticket?
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HW: F&W p. 18-23 #10 a-b, 26-28
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