Journal: Date: 1/31/2019 Title: FW 1.4 Scaling Up 3 ) Sign off neighbor's HW from last night. 

1. Unit: Filling and Wrapping Math CC7/8 – Be Prepared Journal: • Date: 1/31/2019 • Title: FW 1.4 Scaling Up 3) Sign off neighbor's HW from last night.  4) Warm Up: Write down what you know… On Desk: Turn In: Check Family Access. Are you missing anything? Complete yesterday’s labsheets 8 cubes and 27 cubes. Be ready to check! • In Your Planner: • HW: p. 18, #10 a-b, 26-28 • FW Unit Test-No Retakes • ISD common assessment- • Next Tues. and Wed.

2. Tasks for Today • Warm up • Wrap up 1.2-1.3 Greatest and Least SA-patterns? • Lesson 1.4 – Scaling Up Prisms • Exit Ticket 1.3? • Begin HW?

3. Warm Up If time…

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

5. Possible Arrangements of 24 cubes

6. Possible Arrangements of 8 cubes • Does it matter which order the dimensions are in? • Is (8 in x 1 in x 1 in) the same rectangular prism as (1 in x 1 in x 8 in), or (1 in x 8 in x 1 in) ? • Which arrangement had the mostsurface area? Why? • Which arrangement had the leastsurface area? Why? No! Yes!

7. Possible Arrangements of 27 cubes Does it matter which order the dimensions are in? No! 27 x 1 x 1 1 x 27 x 1 1 x 1 x 27 Same SA and Volume!

8. Answers to Lab Sheet • 8 cubes = 2 in x 2 in x 2in 27 cubes = 3 in x 3 in x 3 in • The name for these types of prisms is a cube. • 24 cubes = 2 in x 3 in x 4 in • The shape closest to a cube has the leastamount of surface area. • a. 12 in x 1 in x 1 in will have the most surface area because it is least like a cube. b. 3 in x 2 in x 2 in will have the least surface area because it is most like a cube.

11. Adapted lesson *use blocks 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 doubleonly the length? • (1 dimension) • What is the SA? • What is the Volume? SA = 10 sq. in. Vol = 2 cubic in.

12. What happens when you double the lengthAND 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.

13. 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?

14. 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

15. 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 3 f This is read, “Scale Factor cubed”.

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

17. If Time… 3 2 2 3 2 3 2 3 x 20 cm 800,000 cm or 80 m 200 100 cm 200 800,000,000 cm or 800 m x = = 200 * 200 because you’re multiplying two dimensions 200 * 200 * 200 because you’re multiplying three dimensions