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On Desk: Pencil Calculator Math Journal F&W Learning Log

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1 On Desk: Pencil Calculator Math Journal F&W Learning Log
Math CC7/8 – Be Prepared On Desk: Pencil Calculator Math Journal F&W Learning Log Parent Signatures? Learning Log: HW: p. 18, #10 a-b, 26-28 Quiz – Wednesday! WDYE Test Retakes- Thur 2/16 (2:10 - Room 119)

2 Tasks for Today Warm up Lesson 1.4 – Scaling Up Prisms
Exit Ticket 1.3? Begin HW?

3 Warm Up If time…

4 Why can I solve it this way??
Warm Up The following polyhedron is a cube. Find the Surface Area. Front = 12 x 12 = 144 144 x 6 = 864 square feet Why can I solve it this way?? 12 feet

5

6 Adapted lesson SA = 10 sq. in.
*use paper boxes for demo 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 only the length? (1 dimension) What is the SA? What is the Volume? SA = 10 sq. in. Vol = 2 cubic in.

7 *use paper boxes for demo
What happens when you double the length AND the width? (2 dimensions) What is the SA? What is the Volume? SA = 16 sq. in. Vol = 4 cubic in. What happens when you double the length, the width, AND the height? (3 dimensions) What is the SA? What is the Volume? SA = 24 sq. in. Vol = 8 cubic in.

8 when you apply a scale factor of 2?
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? *use paper boxes for demo 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?

9 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

10 V = 4 x 8 x 12 = 384 cubic in. V = (V x 2 x 2 x 2) V = (V x 1.5 x 1.5 x 1.5) V = (V x 0.5 x 0.5 x 0.5) You can find these answers by multiplying the original box volume by the f 3 This is read, “Scale Factor cubed”.

11 If Time… Work in Groups… 25 x 200 = 5,000 cm or 50 meters long 3,000
30 m = 3,000 cm = 15 cm

12 If Time… 20 cm 200 x = 800,000 cm or 80 m 100 cm 200 x =
200 * 200 because you’re multiplying two dimensions 100 cm 3 200 x = 800,000,000 cm or 800 m 3 200 * 200 * 200 because you’re multiplying three dimensions


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