Conics Activity

Here are the questions and solutions to the problems from todays activity.  Please use these to help you study for the test tomorrow!

Conic Stations

Conics: Review

Here are 4 different interactive sketches to help you practice how to graph and write the equations of the 4 conic sections. You can drag around any points in the sketches to change the graph. Doing so will also change the equations in the sketch. You can double click on the sketches to open them up in a bigger window. Enjoy!

Circles: You can drag the center and the radius.

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Parabolas: You can drag the Focus along the y-axis.

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Hyperbola: You can drag the Focus and the Vertex.

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Conics 7-8: Hyperbolas

Here is a quick graphing example. Please note that this example varies slightly to the method we've been using in class. The major difference is that we construct a box using the a and b values found from the equation to help draw in the asymptotes. This person just sketches them without a box. Please make sure you're drawing the box to help keep things organized!

Conics 5-6: Ellipses

Here's a quick video with the basics of graphing an ellipses

Make sure you're keeping up with your work for these last few weeks! You're almost done so keep on trying your best!

Conics 3 – Parabolas

Here's a quick animation that shows how we made the parabola in class today. The directrix is the 12cm line we drew first. The focus is the point we drew up above. The point labeled, "TickMark" represents a mark we made on the directrix. In class we drew them 2cm apart, but we could have many a bunch of those marks. The red line labeled, "crease" would be the crease made in the paper when we folded the tick mark on top of the focus. In order to create a bunch of crease lines, just click and drag on the tick mark point and slide it along the directrix. Enjoy!

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Conics 2 – Homework

For those that didn't get the homework for tonight, here it is!
Conics 2 [ <-- Click! ]

Conics 2 – Circles

Here is the animation from class.  You can drag around the center of the circle and point B to see how the equation changes.  You can reset it back to the initial settings by clicking the little "recycle" logo in the upper-right corner of the animation. You can also move around the labels of the circle and points by clicking and dragging on the labels. Enjoy!

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Logarithms 7

Two videos for this lesson.  Make sure that if you took the APUSH exam today that you watch these videos to learn what you missed in class today.

Logarithms 1, 2, 4, and 5

This video has some helpful explanations about the material covered in Days 1, 2, 4, and 5.

Here are a few more good examples (the video quality isn't great but the lesson is) from Days 1 and 2:

Solving Exponential Equations

Here is a quick video on the basics of solving an exponential function.

Only watch the first example.  The other examples use methods that we haven't covered yet in class.