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DRAWING TO SCALE

DRAWING TO SCALE. School Lesson Concept Engineers. This week we will be taking a trip to the Great Escape. Some people think this is a long trip but how far is it really? We can figure this out through the use of a map and our knowledge of scaling. If something is described as being

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DRAWING TO SCALE

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  1. DRAWING TO SCALE School Lesson Concept Engineers

  2. This week we will be taking a trip to the Great Escape. Some people think this is a long trip but how far is it really? We can figure this out through the use of a map and our knowledge of scaling.

  3. If something is described as being drawn “to scale,” what does that mean? “To Scale” means that an object or drawing is represented proportionally. The “scale” of the drawing or object is the ratio of the size of the drawing/model to the actual, real life size of the object. “But I can’t remember. What is a ratio? What does proportionally mean?”

  4. Can you think of an example of something that is “drawn to scale?” Or maybe a “scaled” object? Check out these pages from the Regents Prep Center: (make sure you’re familiar with the math concepts because we will be using them soon…) Scale Drawings Proportions Ratio

  5. Ratio & Proportion A ratio is: comparing the relative sizes of two numbers It can be written in 2 ways: 1:3 or 25% A proportion is : two ratios that are equal It can be written as: 1/3=2/6

  6. Scale Factor A Scale Factoris a number that helps us to “size” things up or down, so to speak. Each dimension of the original object is multiplied or divided by the scale factor to find the corresponding dimension of the model. Remember, when your Scale Factor is larger then one we scale up, when it is less than one we are scaling down.

  7. Remember Units What units would you most likely measure our trip in? Converting Between English and Metric Systems

  8. Example # 1 Now that we have talked about scaling lets figure how far it is to The Great Escape from Potsdam. Use to find this map: -Under City and State, Type: Potsdam, NY (Get Directions) -Under City and State, Type: Great Escape, NY (Get Directions) -Under Driving Directions click on “The Great Escape” -Scroll down to the map… MapQuest

  9. Measure the distance on the map along the route we will take. How many inches is it? What is the scale on the map? (Example: 1 inch:50 miles OR .75 inch:30 km) What is the total distance in miles? in kms? *HINT: If the scale factor is not easily determined as in 1:? you may need to use a proportion.

  10. Example # 2 Greg is curious how much he would weigh if he went to the moon. On Earth, Greg weighs 132 pounds. Calculate your weight on the moon! Go to the website above and find out how much Greg will weigh on the moon: ____ pounds How much would you weigh on the moon? ____ pounds

  11. Do you know what the scale factor is in the “moon” problem? How would you find it? Let’s write a simple equation to help us figure it out… We’ll let x be equal to the scale factor. So, if we know Greg weighs 132 lbs. on earth and 21.91 lbs. on the moon, we can write the equation: 132(x)=21.91 Now, to figure out the scale factor, we have to solve for x! How would we do that? Answer: x=

  12. Try figuring out the scale factor using your weight on earth and the moon… You should come up with an equation that looks something like this: (Your Weight on earth)(x)=(Your weight on moon) If you solve for x, what do you get? Example: 152(x)=25.23 x= But what does that mean?

  13. Decimals <==> Fractions Since the answer, x=0.1659, doesn’t mean anything to you, try changing it to a fraction… Look at the website Can you find a decimal that is “close” to our answer? Fraction to Decimal Conversion Tables Decimal on chart: Equivalent fraction:

  14. Example # 3 Danny is excited because for his birthday he got a real replica collector’s edition of a tractor. If Danny’s toy tractor of 1/64 scale and has dimensions: 4.5 inches long, 2 inches wide, 3.75 inches tall What are the dimensions of the real tractor that the toy represents? 1/64 Scale

  15. Now let’s put what you’ve learned to use. It’s time to draw!!! Good Luck!

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