Math CC7/8 – Be Prepared On Desk: 1. Pencil 2. Calculator 3. Math Journal 4. F&W Learning Log 5. Parent Signatures? Learning Log: 1. HW: p. 18, #10 a-b,

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Math CC7/8 – Be Prepared On Desk: 1. Pencil 2. Calculator 3. Math Journal 4. F&W Learning Log 5. Parent Signatures? Learning Log: 1. HW: p. 18, #10 a-b, Quiz – Tuesday! 3. WDYE Test Retakes- Tue 2/9 or Thur 2/11 (2:10 - Room 11)

Warm up Return WDYE Unit Tests Lesson 1.4 Begin HW? Tasks for Today

Warm Up If time…

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

Adapted lesson 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. *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? 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. *use paper boxes for demo

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? *use paper boxes for demo

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

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. This is read, “Scale Factor cubed”.

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

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