Introduce the dalton as a unit of mass measurement. Define it as 1/12 the mass of a carbon atom with an actual mass off 1.60 x 10-21 kg. Calculate from formulas, the numbers of atoms of different elements and their masses. Discuss isotopes and mass measurement quantities. Review Avogadro's number and define a mole. Calculate the gram molecular mass of water to 4 decimal places.
Determine the gram formula weight of sample substances from the periodic table. Determine the number of moles present in a given gram-mass of the compound. Determine the the % of elements from sample compounds, utilize the correct formula for each sample problem.
We went over questions on the ACT test that Josh answered incorrectly. There were not very many, so we got over all of them completely. This will help him on future standardized tests.
We started today with the rule of four. We should approach math problems from four ways, verbally, numerically, graphically, and symbolically. We will apply this rule often as we study calculus. We also reviewed the important concepts that the AP test emphasizes: implementing mathematical processes, connecting mathematical ideas, justifying our work and results, and communicating what we do to others.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We completed our study of these concepts and we will frequently bring them up in studying calculus.
Discuss the procedures to be used in the class, such as homework, quizzes, communication, tests, etc.
Present an overview of the main topics of calculus.
Discuss goals the I have for the class and that Josh has for the class.
Identify topics that Josh has previous knowledge about in relationship to calculus that Josh has attained in his previous math classes.
Assignment
none
Session Minutes
90
Minutes Student Attended
90
Lesson Comments
We set the course into motion and will work to reach our goals. I am looking forward to working with Josh and guiding him through AP Calculus.
Note: I could not find AP Calculus in the pull-down menu of subjects.
Today Joshua and I looked over a set of challenging ACT problems. We started with a problem that required the Pythagorean threorem and then the use of trig ratios. Joshua got practice reviewing factoring, a skill he’s always not had great confidence with. We saw a problem that had Joshua solving an absolute value equation. I showed him how working backwards with the answer choices would be a better approach than actually solving it algebraically, since that can be time consuming. We also discussed a strategy where if variables are not given values, to choose numbers to assign those variables and then work out the problem. Josh is is excellent shape to do his best tomorrow!
Joshua and I began by reviewing the formulas that would be helpful for Josh to know. We reviewed formulas for volumes of irregular shapes, we looked at midpoint and distance formulas, as well as different ways to write the equation of linear and quadratic functions. We looked over problems with trigonometry and advanced algebra.