FILLING & WRAPPING 1.4- Scaling Up Prisms **QUIZ Thursday** 1) Learning Target: I will analyze the impact of scale factor on surface area and volume. 2) HW: Do FW Inv. 1 packet Pg. 10 and CORRECT with the KEY **QUIZ Thursday** *WDYE Retake Thursday, 3/30, in Math Lab Warm-up: The box below is 6 x 1 x 2 arrangement of drink cans. b. Other soda can boxes are packaged 4 x 3 x 1. Which of the two boxes would have the smallest surface area?

Why can I solve it this way?? Solve for Surface Area The following polyhedron is a cube. Front = 12 x 12 = 144 SA= 144 x 6 = 864 square feet Why can I solve it this way?? 12 feet

What are the two key words that explain what you will explore today? SCALE FACTOR

The length and perimeter of the large figure are 1.5 times (or 150%) 75% copy The length and perimeter of the small figure are 0.75 (or 75%) times as long as the lengths of the original figure. 150% copy The length and perimeter of the large figure are 1.5 times (or 150%) as large as the lengths of the original figure.

Vol = 1 cubic in. SA = 10 sq. in. Vol = 2 cubic in. 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. 2 x 1 x 1

SA = 16 sq. in. Vol = 4 cubic in. SA = 24 sq. in. Vol = 8 cubic in. What happens when you double the length AND the width? What is the SA? What is the Volume? (2 dimensions) SA = 16 sq. in. Vol = 4 cubic in. 2 x 2 x 1 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. 2 x 2 x 2

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? 1 x 1 x 1 2 x 2 x 2 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?

Together as a class… Double any ONE of the dimensions – length, width or height Triple any ONE of the dimensions – Halving any ONE of the dimensions –

V = 2 x 2 x 2

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

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

20 cm 2 200 x = 800,000 cm or 80 m 2 100 cm 3 200 x = 800,000,000 cm or 800 m 3

Exit Ticket?

FILLING & WRAPPING 1.4- Scaling Up Prisms Did I reach my Learning Target? I will analyze the impact of scale factor on surface area and volume. HW: Do FW Investigation 1 packet Pg. 10 Zelda Puzzle and CORRECT online **QUIZ Thursday!** *WDYE Retake Thursday, 3/30, in Math Lab