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(-) + (-) = ? (+) x (+)= ? (-)+(+)= ? 12.07.2017 Ticket in the Door
Agenda Ticket in the Door Ticket in the Door Review of Ticket in the Door Current lesson: Wrap-up (-) + (-) = ? (+) x (+)= ? (-)+(+)= ?
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scale factor
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Scale factor is the ratio of change between two sides.
The number you multiply by to relate the first shape to the second is the scale factor.
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Understanding Scales All scale drawings must have a scale written on them. Scales are usually expressed as ratios. Normally for maps and buildings the ratio: Drawing length: Actual length For maps the ratio is normally in the ratio: Map distance: Actual Distance Example: 1cm : 100cm The ratio 1cm:100cm means that for every 1cm on the scale drawing the length will be 100cm in real life Example: 1:10000 The ratio 1:10000 means that the real distance is times the length of one unit on the map or drawing.
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If you have ever seen Jurassic
Park, you saw how big the dinosaurs were compared to the people. Pretend that they made a large Human to watch over the animals. What would be the scale factor if a 64 inch person was made to be 160 feet?
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The scale factor tells you how many times bigger than
“normal” that person really is. You must make all units of measure the same…. 64 inches 64 inches 64 inches = = 160 feet 1920 inches 160 x 12
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Now take the: 64 inches And simplify 1920 inches 1/30 inches This means that the person was created 30 times his normal size.
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If a shape becomes twice as big, the scale
factor would be two. If a shape shrinks to half its size, the scale factor is ½. Let’s take a look.
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Take a look at the RED shape,
Now Look at the BLUE
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How many times bigger is the blue shape?
10 2 is your scale factor because 5 x 2 = 10 and 4 x 2 = 8 5 4 What did you get? 8
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transformation, what has been the amount of reduction?
Both 6 and 9 reduce in size by dividing 3 BUT scale factor must be a relation by multiplying. 6 For 6 to become 2, you must multiply by 1/3 and for 9 to become 3 you must also multiply by 1/3. So your scale factor is….1/3 9 2 3 Now take a look at the transformation, what has been the amount of reduction?
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Both 2 and 3 are multiplied by 4. This means the scale factor is 4.
8 12 Both 2 and 3 are multiplied by 4. This means the scale factor is 4. Now take a look at the transformation, what has been the amount of enlargement?
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What is the scale factor?
5 15 7 21 A B C D 3 1/3 5 10
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What is the scale factor?
8 16 B A C D 3 2 1/2 8
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What is the scale factor?
4 12 A B C D 3 1/2 1/3 9
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What is the scale factor?
3 18 A B C D 9 4 1/6 6
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A Mustang GT is 16 feet long. A model of it was built with a
scale of 1 in : 2 ft. How long is the model. A B C D 9 in 16 in 16 ft 8 in
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