Bell Ringer The figure is dilated 50%. 1.What type of dilation occurred? 2.Calculate the scale factor. 3.Calculate the original area. 4.Calculate the new area. 5.How is the area affected? 6 in

The figure is dilated 50%. 1.What type of dilation occurred? 2.Calculate the scale factor. Reduction 6 in

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

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

Quiz 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

How tall is the pole? 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. 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) The pole is 24 feet. Hypotenuse = 26 ft Leg = 10 ft Right Triangle

Speed Test 1. Get out a dry erase marker. 2. You have 1 minute to complete as many problems as you can. 3.We will grade in 1 minute. 4. Graph your results. Keep the graph in your notebook. 5. We will do this every day.

Problem of the Week & Word Problem # 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.

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

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

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

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

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

Volume of Prisms & Cylinders Triangle/Triangular Prism 5. A = 6 in 2 ; V = 36 in 3 6. A = 28 ft 2 ; V = 140 ft 3 7. A = 9 yd 2 ; V = 72 yd 3 3 pts each 1 pt/label 5 pts: not identifying type of figure and shape of the base

Volume of Prisms & Cylinders Circle/Cylinder 1. A = in 2 ; V = 62.8 in 3 2. A = ft 2 ; V = ft 3 3. A = 78.5 yd 2 ; V = yd 3 4. A = in 2 ; V = in 3 3 pts each 1 pt/label 5 pts: not identifying type of figure and shape of the base

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.

Volume The amount of “stuff” a container can hold. Area is measured in Square units = units 2 Volume is measured in Cubic Units = units 3

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

Volume 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 ) Square Pyramid Square 7(7) = 49 ft 2 h = 6 ft 98 ft 3 Volume = Area of the Base (Height)

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

Volume 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 ) Triangular Pyramid Triangle B = 18 ft 2 h = 11.5 ft 69 ft 3 B = Area of the Base Volume = Area of the Base (Height)

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

Volume 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 ) Cone Circle h = 4 in in 3 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?

Volume of Spheres

V = 4/3 πr 3 V = 4/3 (3.14)(2 3 ) V = 4/3 (3.14)(8) V = 4/3 (25.12) V = in 3 What is the volume of a sphere with a radius of 2 in?

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