Bell Ringer 1-28-11

1. Bell Ringer1-28-11 The figure is dilated 50%. • What type of dilation occurred? • Calculate the scale factor. • Calculate the original area. • Calculate the new area. • How is the area affected? 6 in

2. The figure is dilated 50%. • What type of dilation occurred? • Calculate the scale factor. 6 in Reduction

3. The figure is dilated 50%. • Calculate the original area. 4. Calculate the new area. 6 in 3 in

4. The figure is dilated 50%. 5. How is the area affected? 6 in 3 in Say NO to Oreos! The new area is ¼ the size of the original area.

5. Quiz1-28-11 A 26-foot rope is used to brace a tent pole at the county fair. The rope is anchored 10 feet from the base of the pole. How tall is the tent pole? (HINT: Draw a picture) A. 16 ft B. 24 ft C. 28 ft D. 36 ft

6. A 26-foot rope is used to brace a tent pole at the county fair. The rope is anchored 10 feet from the base of the pole. How tall is the tent pole? (HINT: Draw a picture) How tall is the pole? Hypotenuse = 26 ft Leg = 10 ft Right Triangle To find the length of the diagonal, I used the Pythagorean Theorem. I squared the sides that I knew. I subtracted the square of the leg from the square of the hypotenuse. I took the square root of the area to find the length of the pole. The pole is 24 feet.

7. Speed Test 1. Get out a dry erase marker. 2. You have 1 minute to complete as many problems as you can. We will grade in 1 minute. 4. Graph your results. Keep the graph in your notebook. 5. We will do this every day.

8. Problem of the Week & Word Problem #4-3 1. You have 5 minutes to work on the problem of the week and word problem. 2. The problem of the week must follow the Read, Think, Solve, Justify format. 3. When you are finished, turn them in. 4. They are due Friday.

9. Reach for the Stars Taylor wants to purchase a jacket that regularly sells for $42. If the jacket is on sale for 20% off, what is the sale price before tax? A. $33.60 B. $8.40 C. $50.40 D. $25.20

10. 2D & 3D Measurement Rectangle/Rectangular Prism 1. A = 35 cm2 2. P = 24 cm • V = 70 cm3 Rectangular Prism Rectangle 35 cm2 h = 2 cm H 3 pts each 1 pt/label 5 pts: not identifying type of figure and shape of the base

11. 2D & 3D Measurement 3 pts each 1 pt/label 5 pts: not identifying type of figure and shape of the base Triangle/Triangular Prism 1. A = 12 in2 2. P = 18 in • V = 24 in3 Triangular Prism Triangle 12 in2 h = 2 in

12. 2D & 3D Measurement Circle/Cylinder 1. A = 113.04 ft2 2. C = 37.68 ft • V = 1130.4 ft3 Cylinder Circle 113.04 ft2 h = 10 ft 3 pts each 1 pt/label 5 pts: not identifying type of figure and shape of the base

13. Volume of Prisms & Cylinders Rectangle/Rectangular Prism 1. A = 15 in2 ; V = 60 in3 2. A = 70 ft2 ; V = 560 ft3 3. A = 36 yd2 ; V = 216 yd3 4. A = 108 in2 ; V = 540 in3 3 pts each 1 pt/label 5 pts: not identifying type of figure and shape of the base

14. Volume of Prisms & Cylinders Triangle/Triangular Prism 5. A = 6 in2 ; V = 36 in3 6. A = 28 ft2 ; V = 140 ft3 7. A = 9 yd2 ; V = 72 yd3 3 pts each 1 pt/label 5 pts: not identifying type of figure and shape of the base

15. Volume of Prisms & Cylinders Circle/Cylinder 1. A = 12.56 in2 ; V = 62.8 in3 2. A = 200.96 ft2 ; V = 2009.6 ft3 3. A = 78.5 yd2 ; V = 392.5 yd3 4. A = 113.04 in2 ; V = 452.16 in3 3 pts each 1 pt/label 5 pts: not identifying type of figure and shape of the base

16. Class Work: Volume of Pyramids, Cones, & Spheres You need your notes. Title the notes: Volume of Pyramids, Cones, and Spheres I will check your work at the end of class.

17. Volume The amount of “stuff” a container can hold. • Area is measured in Square units = units2 • Volume is measured in Cubic Units = units3

18. Volume = Area of the Base (Height) Volume of Rectangular Pyramids Volume = Area of Rectangle (Height)

19. Volume Volume = Area of the Base (Height) Square Pyramid Square 7(7) = 49 ft2 h = 6 ft 98 ft3 Identify the type of figure Identify the shape of the base Calculate the area of the base Identify the height Multiply the area of the base by the height Divide by 3 Label (remember to cube 3)

20. Volume of Triangular Pyramids Volume = Area of the Base (Height) Volume = Area of Triangle (Height)

21. Volume Volume = Area of the Base (Height) B = Area of the Base Triangular Pyramid Triangle B = 18 ft2 h = 11.5 ft 69 ft3 Identify the type of figure Identify the shape of the base Calculate the area of the base Identify the height Multiply the area of the base by the height Divide by 3 Label (remember to cube 3)

22. Volume of Cones Volume = Area of the Base (Height) Volume = Area of Circle (Height)

23. Volume Volume = Area of the Base (Height) What is the volume of a cone with a height of 4 in and a radius of 4 in? Cone Circle h = 4 in 66.99 in3 Identify the type of figure Identify the shape of the base Calculate the area of the base Identify the height Multiply the area of the base by the height Divide by 3 Label (remember to cube 3)

24. Volume of Spheres

25. Volume of Spheres What is the volume of a sphere with a radius of 2 in? V = 4/3 πr3 V = 4/3 πr3 V = 4/3 (3.14)(23) V = 4/3 (3.14)(8) V = 4/3 (25.12) V = 33.49 in3

26. Class Work Measuring Up pg. 192: 2, 4 pg. 196: 2, 4, 5 Show Every Step!!!