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Rascals!!!



A. P. Calculus - AB (alpha)

For Monday, September 25:


For Thursday, September 21:
A small in-class opportunity on Trig, including, right triangle trig, flagpole problem, unit circle, radians/degrees, cardinal angle function values, trig identities, graphs of trig functions (sine, cosine and ferris wheels) and trig equations.

For Tuesday, September 19:
On the worksheet I handed out in class (also uploaded here), problems 5-10, 21-24, 29, 30, 36, 41 and 57.


For Monday, September 18:
Do the following two sine function problems:
Screen Shot 2017-09-17 at 9.03.24 AM.png


For Friday, September 15:
Page 52, problems 43 & 44. Also problem 77 below:
Screen Shot 2017-09-14 at 3.58.42 PM.png
AND, you may have done this one before, but give it a go anyway.
9. A ferris wheel makes one complete revolution in 56 seconds. The diameter of the Ferris wheel is 104 feet. A rider boards the ferris wheel from a platform 7 feet above the ground. Find an equation for the motion of a rider on the ferris wheel if she enters the seat at t = 0. Also, graph 2 cycles of the function on the grid below.



For Thursday, September 14:
On the trig identities worksheet, 11-18, 21 and 23.

For Tuesday, September 12:
No new homework. We will begin reviewing trig functions.

For Monday, September 11:
Complete the table of values for all angles, 0 to 2π, that are multiples of π/6, π/4, π/3 and π/2. Also, we will have a minor in class opportunity covering functions: algebraic, graphs, tables, definition, odd/even, translations, reflections, composite functions, and inverse functions.

Remember -- Calculus lunch on Wednesday.
For Thursday, September 7:
Finish the problems on the worksheet that we were working on in class (on the front 3 - 32 a's; on back 13 - 48 odd; then, graph y = lnx and do the graph matching 41-46).
ALSO, do the problems on the following worksheet:



Remember the rules of logs:
Screen Shot 2017-09-05 at 12.20.44 PM.png











For Tuesday, September 5:
Page 20, problems 45, 47, 48 and 56. Have a good weekend!!!

For Friday, September 1:
In the book, page 19, problems 31, 33, 34, 41-43. Please, remember to use graph paper.

For Thursday, August 31, 2017:
Finish the problems we were working on in class.

For Tuesday, August 29:
Nothing new!!!!

For Monday, August 28:
Page 66, problems 1 and 2.
Page 93 problem 43.
Also, page 9, problems 1, 5, 9, 12, 15, 19, 35, 36 and 52.

For Friday, August 25:
In the Calculus book, page 19, problems 5, 7, 9, 11 (on graph paper), 31, 33 and 41. Also, multiple choice problems 59-62.

For Wednesday, August 23, 2017:
Bring your summer review packets with you.

For Thursday, August 23:
Complete the fractions review worksheet.






Honors Pre-Calculus -- Delta
For Monday, September 25:


Friday, September 22:
For each of the following functions, find the inverse. Also, for each, make a table of x, f(x) and the inverse at y, with at least 5 x-values, to confirm that you do in fact have the inverse. Are all of the inverses actual functions?
Screen Shot 2017-09-21 at 2.04.03 PM.png


For Thursday, September 21:
Choose (create your own) two functions that are even, two functions that are odd and one that is neither. Demonstrate the symmetry (i.e. f(-x) = f(x) or f(-x) = - f(x)) and graph each function. You may graph two curves on each set of axes.

For Wednesday, September 20:
Of the following 8 functions, determine which of them are even using the algebraic test we discussed in class, does f(-x) = f(x).
Screen Shot 2017-09-18 at 3.06.48 PM.png





For Monday, September18:
No homework. I will hand back the in-class opportunities.

For Friday, September 15:
Below is the list of topics for the in-class opportunity. I have also handed out a packet of review problems in class, which I will also upload as soon as I can get the new photocopy machines actually to scan.
Screen Shot 2017-09-14 at 10.23.24 AM.png



For Thursday, September 14:
We will review. Come with your questions. I will post a list of topics shortly. I am also assembling some practice problems. Bring your functions topic worksheets.

Here is the modelling with functions worksheet:


For Wednesday, September 13:
On the function modelling worksheet I handed out in class, problems 2, 3, 4, 13, 19 and 27 a and b.

For Monday, September 11:
On the worksheet (2.4), problems 7-10 a and b, 14-16, 54 and 69.

For Friday, September 8:
Worksheet 2.4 (uploaded here), problems 1-5 a and b, 11-13, 17 and 19.


For Thursday, September 7:
Bring the work that was due Wednesday. There is no new homework for tonight.

For Wednesday, September 6:
On the worksheet that I handed out in class (section 2.2), problems 55-60 and 83-85. If you did not get the handout, it is below:


For Friday, September 1:
Functions worksheet, problems 41-50.

For Thursday, August 31, 2017:
Bring the homework from Tuesday. We will go over that and talk some more about functions.

For Tuesday, August 29:
On the following worksheet, problems 1, 3, 5, 11, 12, 15, 16, 59, 60 and 62.


For Monday, August 28:
Identify the words on the vocabulary list that you couldn't explain to your mother.
Define, and be able to explain what is a "function."

For Friday, August 25:
Identify (circle or highlight) those words on the vocabulary list that you do not understand. Also, on a separate sheet of paper, define, and give an example of each of the following:
real number,
whole number,
integer,
rational number,
irrational number
mixed number
improper fraction
imaginary number
negative number.
If you want to print the assignment, use the document below.


For Thursday, August 23:
Complete the fractions exercises.




Honors Pre-Calculus -- Zeta
For Monday, September 25:


For Thursday, September 21:


For Tuesday, September 19:
Review.

For Monday, September 18:
Below are the topics for the in-class opportunity that we will undertake as soon as we have finished with the presentations. If you have questions and want to review (by asking questions), we can do that on Monday. Underneath the list of topics I have uploaded a review packet with some fun practice problems.

Screen Shot 2017-09-14 at 10.23.24 AM.png


For Thursday, September 14:
We will finish the presentations and begin a review of the material we covered on functions.

For Tuesday, September 12:
Modelling worksheet (section 2.6), problems 1-3, 13, 19 and 27 a & b.

For Monday, September 11:
Great work in class on Thursday!!!!!
On the translations worksheet (which I gave you in class but have also uploaded here), problems 7-10 a and b, 14-16, 20 and 23-26.



For Thursday, September 7:
On the worksheet handed out in class, problems 1-6 a and b. Some of these have elements we did not talk about in class. If you are not sure what to do, don't worry, we will clear it up in class. Also, 11-13 and 19. For 19, use at least 2 sets of axes for a-f.

For Wednesday, September 6:
On the functions worksheet, graph the piecewise functions 41-44. Then try either 48 or 88.

For Tuesday, September (OMG) 5:
On the functions worksheet (Section 2.2), do problems 55-60 (you do not need to copy the graphs onto your papers)79, 80 and 83-85.

For Thursday, August 31, 2017:
GOOD CLASS TODAY!!!!
On the worksheet I handed out (Graphs of functions), problems 1, 3, 7, 13, 16 and 23. Remember the graphs need labelled axes, arrows on the axes and a scale on both axes, 3 places in the positive direction and two in the negative. You may graph up to 3 functions on one set of axes and you may use colored pencils to distinguish the different curves if you want to.

For Wednesday, August 30, 2017:
Lucky you!!!

For Tuesday, August 29:
On the attached worksheet, problems 1, 3, 5, 7, 11, 15, 17, 59, 60 and 62.


For Monday, August 28:
Define, and be able to explain what is a "function." What are different ways that you have represented functions in your previous math courses?

For Friday, August 25:
Define, and give an example of each of the following:
real number,
whole number,
integer,
rational number,
irrational number
mixed number
improper fraction
imaginary number
negative number.
If you want to print the assignment, use the document below.


For Thursday, August 23:
Complete the fractions exercises.




A.P. Calculus--BC (aka Math Adventures)
For Monday, September 25:
Do problems 11 - 19.


For Thursday, September 21:
Solve problem 26 on page 552 both by using triangles (law of sines or cosines) and by using vector components.
Also, on page 554, problem 61.

For Tuesday, September 19:
Also,
Page 552, problems 25, 27-32, 38, 47 and 57.

For Monday, September 18:
Let's again look at vectors. Read pages 544 up to example 3 on page 546. This may be hazy, but it should not be entirely new. It is in many ways the same as parametrics. Then look at the definitions box on page 548. Again, this should not be surprising. On 552, problems 1-10 and 34.

For Thursday, September 14:
OK, OK let's do this: page 542, problems 36, 43, 44, 48 and 49.

For Monday, September 11:Page 541, problems 12-15, and 32-34. I will collect this work.

For Thursday, September 7:
Page 541, problems 7-15 odd, but (a) only. To find dy/dx of a parametric function, first find dy/dt and dx/dt. Then, dy/dx = dy/dt divided by dx/dt. Then, problems17-25 odd, and 47-49.

For Tuesday, September 5:
Page 33, problems 8, 11-15, 21 -- find the function in x and y. Also, 23, 24 -- look at examples 4 and 5 in the section. And 39-42.

For Thursday, August 31, 2017:
Finish the problem set we were working on in class.

For Tuesday, August 29:
Also,

For Monday, August 28:
Finish the limit problems on the worksheet we had in class. Also,

For Friday, August 25:
Page 96, problems 1-19 (odd), 29, 39 and 40.

For Thursday, August 23:
Read definitions of derivative on pages 99 and 100 -- the two definitions use the two forms of the difference quotient. On page 105, problems 1, 2, 5, 6 and 13-16 (matching).



Jasper
For Monday, September 25:


For Thursday, September 21:
Finish the problems from Tuesday (Page 135, problems 1-4, 20-22 and 24). Also, page 139, 40 - 45.

For Tuesday, September 19:
Page 135, problems 1-4, 20-22 and 24. With 24, remember that speed is a scalar so it does not have a direction.

For Monday, September 18:
Now we know all the rules of differentiation. On page 158, try problems 13 - 23 odd. Also try 29 and 31.

For Thursday, September 14:
Page 124, problems 23, 24, 33 and 37. Then, page 148, problems 7-16. Also, problem 39 which asks for the second derivative, which itself is the derivative of the first derivative dy/dx.

For Monday, September 11:
Page 148, problems 1-3, 5, 7, 9, 11, 12, 17, 18, 21, 22, 27 and 29. I will collect this.

For Thursday, September 7:
Read pages 116 - top of 119, stop at Products and Quotients.
Try on page 124, problems 1 - 11 odd, 23d, 24d, 53, and 58. Also, on page 126, the AP prep problems, number 1.

For Tuesday, September 5:
Page 92, problems 1-4, 41-44. Also, page 106, problems 21-24.

For Thursday, August 31, 2017:
Finish the problem set we were working on in class.

For Tuesday, August 29:

For Monday, August 28:

For Friday, August 25:
Finish the problems you began in class.