Is this thing rational?

# MathArguments180.com

180 Days of Ideas for Discussion in Math Class. (as of 9July2014, we're in overtime!)

## Thursday, July 31, 2014

## Wednesday, July 30, 2014

### 202: What is the area?

What combinations of addition or subtraction of figures could you use to find the area of the white?

## Tuesday, July 29, 2014

### 201: Circles and Pentagon

Two circles, radius 1 (each does not pass through the others center).

All seven regions are of equal area.

What is the area of the pentagon?

All seven regions are of equal area.

What is the area of the pentagon?

## Monday, July 28, 2014

## Sunday, July 27, 2014

## Saturday, July 26, 2014

### 198: Packing tires

Given the following information, what's the best packing method for those tires in one of these containers? You might want to Desmos-Draw the floorplan to be sure.

.

Overall diameter is 25", BTW.

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Overall diameter is 25", BTW.

## Friday, July 25, 2014

### 197: Polar Figures 6

Can you recreate these figures? Note: Unlike the previous figures, these are all "incomplete" so you will have to do two things ... (a) figure out the form of the full figure (how many pedals, etc.) and (b) restrict the domain appropriately. In Desmos, domain restriction is done this way:

Here we go ....

Here we go ....

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