Rearrange the ideal gas law equation to be able to determine the molar mass, or the mass, or the density of a given amount of gas at a given temperature and pressure. Introduce some problems to be solved using the formula. Set up the lab to be used to determine the pressure on a gas when heated. Discuss real gas v ideal gas, list and discuss effect of low pressure and high temperature causing deviations from the ideal.
Today Joshua and I spent over half of the period going through his homework problems. Joshua made some mistakes in his work and we needed to go back and re-work them. Joshua corrected his misunderstanding, which had to do with counting the x-axis values properly. After that we completed the 3.2A section on Radians. We watched a short distance explaining what 1 radian is and why 360 degrees is equivalent to 2pi. Then we completed practice problems which asked which quadrant a given angle is, given in radians.
During our first segment ,we studied the cause of Biff's disillusionment with Willy, as he declaims Willy as a "fake" and burns his UVA sneakers. We discussed the recurring image of fire and burning and the symbolic significance of Biff's act. During the remainder of the session, we reviewed ,edited ,and discussed Joshua's progress on his characterization essay that suffered from significant organizational dysfunction. I first demonstrated how to clearly introduce the play and its characters followed by a discussion on how to correct vague pronoun usage and run on sentences. We further worked on reviewing and revising the essay so that it remained focused on the essay question and relied on dialogue to support the characterization of Willy, Ben, and Biff. I additionally provided instruction on using transitional phrases to show contrast. Joshua did well in recognizing what needed to be revised and in editing his work. He will rewrite and finish the essay for homework.
I substituted for Joshua's German class (my student Aiden was absent). Joshua worked independently on his assignment online. We also discussed a few math problems he was curious about.
Today Joshua and I began Unit 3, the last unit in the AP Precalculus curriculum. This section discussed functions which have repetitive behavior. We discussed that the period/cycle of the graph represents the length from one y-value height to the other. Then we related this to a circle and we recalled that a circle is 360 degrees. In radians that converts to 2pi. We worked on converting degrees to radians and radians to degrees.
Expand on Avogadro's principle to show how the moles of a gas can be determined from Avogadro's principle law. Introduce the ideal gas, discuss what each letter in the law represents, and how to solve for any one of them, knowing the other 4. Work some sample ideal gas law problems.
