3. THINK LINE Imagine a line wrapped around the figure. Units are cm. ft. in. etc. 2 2 Perimeter is ONE DIMENSION DIMENSIONAL What is the Perimeter of the square?

4. THINK SQUARES How many squares would it take to cover the inside of a figure? Units are cm 2 ft 2 in 2 etc. Area has TWO DIMENSIONS. DIMENSIONAL What is the Area of the figure?

5. THINK CUBES How many cubes would it take to build it or to fill it? Units are cm 3 ft 3 in 3 etc. Volume has THREE DIMENSIONS. DIMENSIONAL What is the Volume of the figure?

6. THINK SQUARES How many squares would it take to cover the inside of a figure? Units are cm 2 ft 2 in 2 etc. THINK LINE Imagine a line wrapped around the figure. Units are cm. ft. in. etc. 2 2 THINK CUBES How many cubes would it take to build it or to fill it? Units are cm 3 ft 3 in 3 etc.

7. We were to increase each dimension by a scale factor of 2? In other words, we would double the dimensions or multiply by 2. If theWAS 8 You could take 8 (the original perimeter) x the scale factor (2) 8 x 2 = 16 so the NEW PERIMETER IS 16. 2 22 2 4 4 4 4 You could double each side and Re-calculate the perimeter…..OR

8. We were to increase each dimension by a scale factor of 2? In other words, we would double the dimensions or multiply by 2. If theWAS 14 4 3 You could double each side and Re-calculate the perimeter…..OR 8 6 You could take 14 (the original perimeter) x the scale factor (2) 14 x 2 = 28 so the NEW PERIMETER IS 28.

9. We were to increase each dimension by a scale factor of 2? In other words, we would double the dimensions or multiply by 2. If the WAS 4 You could double each side and Re-calculate the area…..OR You could take 4 (the original area) x the scale factor (2) squared. 4 x 2 2 = 16 so the NEW AREA IS 16. Since area involves 2 dimensions we must use scale factor to the power of 2 (squared)!

10. We were to increase each dimension by a scale factor of 2? In other words, we would double the dimensions or multiply by 2. If the WAS 12 You could double each side and Re-calculate the area…..OR You could take 12 (the original area) x the scale factor (2) squared. 12 x 2 2 = 48 so the NEW AREA IS 48. Since area involves 2 dimensions we must use scale factor to the power of 2 (squared)! 4 3

11. And we were to increase each dimension by a scale factor of 2? In other words, we would double the dimensions or multiply by 2. the WAS 8 You could double each dimension (remember with volume there are 3) and Re-calculate the volume…..OR 2 2 2 You could take 8 (the original volume) x the scale factor (2) cubed. 8 x 2 3 = 64 so the NEW volume IS 64. Since volume involves 3 dimensions we must use scale factor to the power of 3 (cubed)! 4 4 4

12. the WAS 24 4 3 2 and we were to increase each dimension by a scale factor of 2? In other words, we would double the dimensions or multiply by 2. You could… double each dimension (remember with volume there are 3) and Re-calculate the volume…..OR You could take 24 (the original volume) x the scale factor (2) cubed. 24 x 2 3 = 192 so the NEW volume IS 192. Since volume involves 3 dimensions we must use scale factor to the power of 3 (cubed)! 8 6 4

13. We were to increase each dimension by a scale factor of 3 ? Or a scale factor of 4? Or a scale factor of 5 ??? Original perimeter x scale factor Original area x scale factor squared Original Volume x scale factor cubed

14. What if we increase each dimension by a scale factor of 3 ? Or a scale factor of 4? Or a scale factor of 5 ??? Perimeter x scale factor Area x scale factor squared Volume x scale factor cubed Original perimeter = 6Original area = 6 Original volume = 6 6 x 3 6 x 4 6 x 5 6 x 3 2 6 x 4 2 6 x 5 2 6 x 3 3 6 x 4 3 6 x 5 3

15. x 3x If the volume of the smaller cube is 9, what would be the volume of the larger cube? Is multiplying 9 times 3 enough??? Remember, Volume involves 3 dimensions, so you have to use the scale factor of 3 to the power of 3 (3 3 ). Volume = 9 Volume = ? Find your answer before going on to the next slide.

16. x 3x Volume = 9 Volume = 243 Original volume 9 x 3 3 scale factor cubed 9 x (3x3x3) 9 x 27 243

17. Find your answer before going on to the next slide. 3 2 If you double the dimensions of the smaller rectangle, what would be the area of the larger rectangle? Would taking 6 x 2 be enough? How many dimensions are we affecting when looking at area? Remember area deals with 2 dimensions so you must take the scale factor to the power of 2. Area = 6

18. 3 2 Original area 6 x 2 2 scale factor squared 6 x (2 x 2) 6 x 4 24 Area = 24

19. 5 3 Perimeter = Area = The larger rectangle was created using a scale factor of 2.5. Find the perimeter and area of the smaller rectangle and then give the perimeter & area of the larger rectangle. Find your answer before going on to the next slide.

20. 5 3 Perimeter = 16 units Area = 15 units 2 Perimeter 16 x 2.5 = 40 Original perimeter x scale factor Area 16 x 2.5 2 16 x 6.25 100 square units Original area x scale factor 2

21. Perimeter x scale factor Area x scale factor squared Volume x scale factor cubed There are 6 questions that follow. Show your work on paper. Number each item and turn it in. Refer back to the examples if you need to. THINK!!! Draw pictures!!

22. What will be the area of an enlargement if each dimension is multiplied by 4? 6 4 1.

23. 16 4 Suppose the rectangle above is reduced by cutting each dimension in half. What would be the perimeter of the reduction? 2.

24. 16 4 Suppose the rectangle above is reduced by cutting each dimension in half. What would be the area of the reduction? 3.

25. The volume of the box above is 125 cm 3. Find the volume of a similar box if each dimension were doubled. 5 5 5 4.

26. If the perimeter of the larger square is 16, What would be the the perimeter of the smaller square? x x 5.

27. If the height and the circumference of the larger cylinder is twice that of the smaller one, what would be the volume of the larger cylinder? Volume = 120 ft 3 Volume = ? 6.