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FSA Geometry EOC

Shmooping the Sunshine State, Geometry style.

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Triangles. Why did it have to be triangles? Shmoop's guide to the Geometry EOC Florida Standards Assessment answers many questions, but this one isn't among them. Instead, we review congruence, similarity, right triangles, and trigonometry; circles, geometric measurement, and geometric properties with equations; and modeling with geometry. With that much material to cover, we're okay with leaving the rhetorical questions for later.

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Sample Content

Area and Volume as Density

Apply concepts of density based on area and volume in modeling situations (MAFS.912.G-MG.1.2)

Picture an open field. The sun is shinning; the prairie grasses rustle in the wind. It's just you and your donut, finally on a break from the world.

In this scene, there is a lot of open space.

Now imagine hundreds and hundreds of people marching onto the field, interrupting your donut moment to tell you to get back to work. As more and more people enter the field, there is not as much open space. Claustrophobia sets in.

In math terms, this relationship between area and how much stuff is in that area has a name: density.

Density is defined as the mass of an object (or number of people, such as the example above) per a given area or volume. The units of this measurement are different depending on whatever it is we're measuring.

Density in the Real World

The Shmoop family just got a massive koi pond in our backyard. (Jealous much?) The number of koi in the pond has to be regulated to make sure there's enough food and space for everybody, including Mr. Hollowbottom, our 150-year-old tortoise. He's a jerk, but he's old, so we kind of let him do what he wants.

We can use density to regulate this pond population. Last week we counted 98 koi in our 4500-gallon pond. The density can be calculated via a handy density formula.

This number might not mean a lot on its own. According to our research, though, the ideal density of koi per gallon is 0.02. Looks like our little fishies will thrive!