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.

Venn Diagrams

A Venn Diagram is a set of circles that overlap.  It is useful in explaining similarities and differences.  I will create part of it and you recreate it and then finish it.

Other things you could put in there for me are reading, science, technology, art, classical music, and I may add a few extra tomorrow in class.

I didn't include them in the example because if we both like one of those, it should go in the middle with SASIC.

We'll do something similar with your classmates during class tomorrow.

Fox, Goose, and a Bag of Beans

Here's a famous math game that I think you can solve.  Hope you haven't already seen it, but if you have go ahead and try it again.  Be sure to write down your solution with a correct heading!


Once upon a time a farmer went to market and purchased a fox, a goose, and a bag of beans. On his way home, the farmer came to the bank of a river and rented a small boat. In crossing the river by boat, the farmer could carry only himself and only one of his purchases – the fox, the goose, or the bag of the beans.

 If left alone, the fox would eat the goose, and the goose would eat the beans.

 The farmer’s challenge was to carry himself and his purchases to the far bank of the river, leaving each purchase intact.


How did he do it?