 A flagpole is 30 feet tall and casts a shadow that is 18 feet long. If Cynthia is 5 feet tall, what is the length of her shadow?

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Presentation transcript:

 A flagpole is 30 feet tall and casts a shadow that is 18 feet long. If Cynthia is 5 feet tall, what is the length of her shadow?

Math 7 Grace Wilday Junior High School “Raise the Praise ”

 TLWBAT calculate scale ratios by using a scale factor to scale measurements up and down and successfully complete 4 out of 5 practice problems.  NJCCCS A.2  Common Core 7.G.A.1

 Scale – a ratio between two sets of measurements.  Scale factor – a ratio showing how the measurements of one figure relate to the measurements of a similar figure.

 Scaling up – going from small to large. ◦ Scale factor is a whole number  Scaling down – going from large to small. ◦ Scale factor is a fraction

 Tell whether the original figure was scaled up or scaled down. Original Figure Scaled Figure

 Tell whether the original figure was scaled up or scaled down. Original Figure Scaled Figure

 Tell whether the original figure was scaled up or scaled down. Original Figure Scaled Figure

 Write a ratio of the model’s dimensions to the actual object’s dimensions and simplify. Scale Original

 Find the scale factor. Original FigureScaled Figure 3 in. 4 in. 5 in. 9 in. 12 in. 15 in.

 Find the scale factor. Original FigureScaled Figure 2 in. 3 in. 4 in. 6 in.

 Find the scale factor. Original FigureScaled Figure 6 in. 9 in. 2 in. 3 in. 6 in. 2 in.

 Find the scale factor. Original FigureScaled Figure 4 in. 2 in. 4 in. 2 in. 4 in.

 Write a proportion using the scale factor. Cross multiply and solve for the unknown value.  REMEMBER: Write the scaled figure’s measurements on the top and the original figure’s measurements on the bottom.

 If the scale factor is ⅓, find the measurements of the scaled figure. Original FigureScaled Figure 6 in. 3 in. __ in. 6 in.

 If the scale factor is ½, find the measurements of the scaled figure. Original FigureScaled Figure 8 in. 6 in. __ in. 10 in.

 If the scale factor is 3, find the measurements of the scaled figure. Original FigureScaled Figure 2 in. 3 in. __ in. 3 in. __ in. 2 in.

 Write a ratio of the model’s dimensions to the actual object’s dimensions and simplify. Scale Original

 Christian Bale, the actor who plays batman, is 72 inches tall. The height of a batman action figure is 6 inches. What is the scale factor? ◦ First, write the ratio of the model’s measurements to the actual measurements. ◦ Then simplify= model actual

 George Washington was 72 inches tall. A statue of George Washington is 144 inches tall. What is the scale factor? ◦ First, write a ratio of the model’s measurements to the actual measurements. ◦ Then simplify== 2 model actual

 Kristie has a dollhouse that is a scale model of her actual house. Her actual house is 34 feet long. Her dollhouse is 2 feet long. What is the scale factor?

 The length of a model boat is 5 inches. The length of an actual boat is 125 inches. What is the scale factor?

 A Grizzly bear is 80 inches tall. A teddy bear is 10 inches tall. What is the scale factor?

 On a scale drawing, the height of a tree is 9 inches. The scale factor is. What is the height of the actual tree? =

 On a scale drawing, a bike is 7 inches long. The scale factor is. Find the length of the actual bike.

 An artist is making a sculpture of an elephant. The scale factor is. If the actual elephant is 68 inches tall, how tall is the sculpture?

 You will be using a map of the U.S. to identify the distance between given cities and solve for the scale factor.  Once the table is completed, answer the questions on the back.

 On a map, the distance between New York City and Albany is 3 inches. The scale factor for the map is 1 inch: 50 miles. What is the actual distance between New York City and Albany?