1. 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?

2. 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

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

4. 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.

5. 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

6. 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

7. 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?

8. 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 –

9. V =
2 x 2 x 2

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

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

12. 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

13. Exit Ticket?

14. 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 Zelda Puzzle and CORRECT online
**QUIZ Thursday!**
*WDYE Retake Thursday, 3/30, in Math Lab