Tuesday, September 3, 2013

Scale Factor

Much of our modern world would not be possible without diagrams that are to scale.  The best way to think about this is to think about where you live or the school, and then think about how much paper it would take if the architect who designed it didn't use a scale.  If that doesn't prove why it's useful consider this.  If you're interested in the history of scale drawings, it's here.

Now you'll notice that ratios are in use.  If you need a refresher on ratios, you can look here.  You may also have some scale factor problems that are missing side problems.  If you need a refresher on that, you can check this video out.

Here's a great explanation of scale factor:


So our goal for understanding is to learn the scale factor formula, and then learn how to apply it.

So in the video, let's take the original image of Mr. Simpson and enlarge it by using a scale factor of 5.  Remember, this creates a ratio of 5:1 with the scale diagram being on top.  What would the new dimensions of the enlargement be?  Make sure to write this and the formula down in your math journal or a piece of paper so it can be recorded in your warm-up spiral.

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