Bell Ringer 1-26-11 Figure A is dilated to create Figure B. A B What type of dilation occurred? Calculate the scale factor. Calculate the original area. Calculate the new area. How is the area affected? 21 cm 12 cm 9 cm 7 cm 4 cm 3 cm

Figure A is dilated to create Figure B. A B What type of dilation occurred? Calculate the scale factor. 21 cm 12 cm 9 cm 7 cm 4 cm 3 cm Enlargement

Figure A is dilated to create Figure B. A B Calculate the original area. 4. Calculate the new area. 7 cm 4 cm 3 cm 21 cm 12 cm 9 cm

The new area is 9 times larger than the original area. Figure A is dilated to create Figure B. A B 5. How is the area affected? 7 cm 4 cm 3 cm 21 cm 12 cm 9 cm Say NO to Oreos! The new area is 9 times larger than the original area.

Quiz 1-26-11 What are the triples represented by the model? A. 9, 16, 25 B. 3, 4, 5 C. 5, 4, 3 D. 25, 16, 9

What are the triples? The triples are 3, 4, 5 (answer choice B). What are the triples represented by the model? What are the triples? 3 squares 1 right triangle 4 To find the triples, I needed to find the length of each side. I counted the units in each square. The sides of the triangle are 3, 4, 5. The hypotenuse is the longest side; therefore, 5 must be the last number. 3 Areas= 9, 16, 25 16 9 Triples are NOT the areas. We need the sides! 25 5 Triples: 3, 4, 5 NOT 5, 4, 3 Answer = B The triples are 3, 4, 5 (answer choice B).

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.

Problem of the Week & Word Problem #4-2 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.

Reach for the Stars A wooly mammoth can run up to 11 meters per second. Is this quicker than a rhinoceros that can run 1,850 meters in 3 minutes? A. NO, the rhino can run 10.3 meters per second and this is faster than the wooly mammoth. B. YES, the rhino can run 10.3 meters per second, and this is not faster than the wooly mammoth C. NO, the rhino can run 30.8 meters per second, and this is faster than the wooly mammoth. D. YES, the rhino can run 30.8 meters per second, and this is not faster than the wooly mammoth.

Class Work: Volume of Prisms & Cylinders You need your notes. Title the notes: Volume of Prisms and Cylinders I will check your work at the end of class.

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

54 m3 Volume 3 m 6 m 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 Label (remember to cube 3) 3 m 6 m 3 m Rectangular prism Square 3(3) = 9 m2 h = 6 m 54 m3

Volume of Rectangular Prisms Volume = Area of Rectangle (Height)

20 yd3 Volume 5 yd 2 yd Identify the type of figure 4 yd Identify the shape of the base Calculate the area of the base Identify the height Multiply the area of the base by the height Label (remember to cube 3) 5 yd 2 yd 4 yd Triangular prism Triangle h = 2 yd 20 yd3

Volume of Triangular Prisms Volume = Area of Triangle (Height)

62.8 cm3 Volume 2 cm 5 cm 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 Label (remember to cube 3) 5 cm Cylinder Circle h = 5 cm 62.8 cm3

Volume of Cylinders Volume = Area of Circle (Height)

VOLUME What are we solving for? They must all be the same unit. How many cubic feet of material can the figure hold? What are we solving for? 1 yd =3 ft 24 in =2 ft VOLUME 4 ft 4 ft 2 ft 3ft They must all be the same unit.

24 ft3 Volume 3ft 2 ft Identify the type of figure How many cubic feet of material can the figure hold? 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 Label (remember to cube 3) Rectangular prism Rectangle 4(2) = 8 ft2 h = 3 ft 24 ft3

Class Work 2D & 3D Measurement Do NOT Write on my sheet! Show Every Step!!!