Elicit a new formula which is used to determine acceleration involving the direct relationship between acceleration and the inverse proportion for mass. Determine the formula to be
a= Force/mass. Note th units of force in Newtons and the mass in kilograms. Newtons per kilogram become meters/second squared. Discuss and solve a few problems. Introduce the force or friction with all its parametrers and discuss constant velocity duel to force=friction
Work with a procedure which can be used to determine the oxidation number of magnesium metal and oxygen into magnesium oxide. Show the electron transfers for both elements. Read and discuss the 7 guidelines normally used to determine oxidation numbers. Outline examples for each guideline listed.
After reviewing an implicit differentiation problem, we will look at finding a derivative of an inverse function. We will also look at differentiating inverse trigonometric functions. If time permits we will do another related rates problem.
Assignment
1 - 17 on pp 208-9. due Friday
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We did examples of the derivative of an inverse trig function. Also we did implicit derivative examples and a related rates problem.
In preparation for tomorrow's test on Unit 2, we today reviewed Joshua's practice test exercise that included both MCQs and FRQs. We studied Frost's iconic poem,"Mending Wall" and I explained the symbolic significance of the wall and the speaker's frustration with those who blindly follow trite meaningless conventions. We also worked on a modern poem, and I provided instruction on discerning and identifying the speaker's tone. During the second session, we worked on an essay analysis of a difficult modern poem that requires the student to explain the functions of metaphors and similes in the passage. I am emphasizing to Joshua the benefit of a less literal reading of poetry and explained how in the given passage the comparisons highlight the contrasts between the girls' physical actions, jumping rope, and the elevation of their non-physical essence as they almost defy gravity and defy or defeat the physical world "like astronauts on the moon."
From a determined acceleration formula, discuss the use of instantaneous velocity and average velocity when used in the formula. Discuss velocity changes as initial minus final, and time changes as delta t.
A review of implicit differentiation will start the lesson. We will look at tangent lines and normal lines determined using implicit differentiation. Examples will be done using trigonometric functions and logarithmic functions.
Assignment
1 - 17 on pp 208-9
Session Minutes
45
Minutes Student Attended
30
Lesson Comments
We got off to a late start as Josh had technical issues with his computer. We did the review of implicit differentiation as planned. We also discussed the assignment due Friday.
Discuss acceleration and forces, balanced forces and unbalanced forces. Determine net forces acting include gravity, friction, and the support force. Acceleration depends on the net force. Determine that acceleration is directly proportional to he the net force and and inversely proportional to the mass. State Newton's second law. Answer a few word problems.
Introduce redox reactions which occur due to electron transfer. Reduced species will accept electrons and oxidized species will transfer an electron. Write a balanced redox equation to show the formation of a neutral metal from a salt. Outline the electron transfers, the oxidized species, the reduced species, the oxidizing agent and the reducing agent.
Determine the velocity, average velocity, and distance traveled by an object in free fall. Utilize the formulas needed to determine the velocity, average velocity, and distance an object will travel from time zero. Introduce d=1/2gt^2. Analyze a speed v time graph. Graph distance v time and describe and analyze the graph. Determine that the slope of the line is = to the velocity.