Additional questions for assignment due Tuesday 12-22

Using your calculator's "intersect" option, find the solution(s) to the following systems:

1.   x^2 + y^2 = 81
     y = 4x + 1



2.   (x - 4)^2 + y^2 = 16
        y = -2x + 12




3.   (x + 2)^2 + (y - 1)^2 = 75
       3x + 4y = 12

KEY FOR REVIEW

Click on the link:   KEY

EXTRA CREDIT PROBLEM DUE 12-11

A basketball is dropped from a height of 30 feet.  Each time it strikes the floor, it rebounds to a height that is 72% of the maximum height before the bounce.   If the ball is allowed to continue to bounce up and down, what is the total distance that it will travel before it comes to a stop?  (weird concept here, but does it really ever come to a true "stop?"... hmm...)

EXTRA CREDIT PROBLEM (extended! now due Friday, December 4th)

A ship leaves port at 85 mph.  It travels for two hours at a bearing of 56 degrees, then travels for 40 minutes due north, and then finishes its trip by traveling at a bearing of 25 degrees for one hour.  How far is the ship, "as the crow flies," from its staring point?

TOPICS FOR UNIT 4 TEST

TOPICS FOR TRIG UNIT 4 TEST:
-  Areas of triangles, parallelograms, regular  polygons, sectors, and segments
-  Bearing problems
-  SSA ambiguous case:  determining # of triangles and solving them
-  Radians:  finding reference angles, coterminal angles, and values of special angles without a calculator
-  Graphs and equations of sine/cosine functions with amplitude/period changes and horizontal/vertical shifts
-  Reciprocal functions:  x,y,r problems and values of special angles without a calculator

Worksheet for Thursday, 11/12

In addition to the book problems given as advance make-up, complete this worksheet:  graphs in radians

Ambiguous case video

Click HERE

Last extra credit problem of the quarter

Give it a try: 

Extra Credit Due Friday

Here is the extra credit problem that can be turned in by Friday:  track problem

Graphs for assignment due 10-28

Find the equation of a sine function (or cosine if better..) of the graphs on the following worksheet:  GRAPHS (PART 2)

Homework due 10/27

Determine the amplitude, period, vertical shift, and phase shift for the problems in the following document:   Worksheet #1

(Treat all functions as sine functions unless you state otherwise)

Worksheet given on Tuesday

Here's a copy if you need it:   worksheet

Challenge problem for week of 10/19

Squares are to be cut out of a piece of standard notebook paper to form an open "box" as depicted in the diagram below.  What is the maximum volume of box (in cubic inches) that can be created?

Test on Thursday, October 8th

Here are the topics for Thursday's test:


Linear equations:  using point-slope form to find equations of lines given:  slope and a point, two    
       points, line to be parallel to, line to be perpendicular to

Transformations of functions (powers, roots, absolute values, greatest integer) : translated, dilated,
      reflected over x-axis   NO GRAPHING CALCULATOR ALLOWED!

Domains and ranges of functions

Piece-defined functions

Polynomial functions:  zeros, max/mins, end-behavior, finding all zeros exactly using long division
     and quadratic formula

Extra Credit Problem for October 9th

This is a great problem.  Be sure to explain/show how you get your answer!

A fish pond has an initial population of 500 fish. 25% of the fish are harvested or die each year and 60 fish are planted. The number of fish will stabilize to approximately what number over a long period of time?

Extra Credit due 10/2

Problems that will show up on Unit 1 Test

EXPLANATION OF MY COLOR CODING:
GREEN:  problems I am least concerned about;  a small amount of review and most of you should do fine
RED:   problems that concern me;  you don't study up on these most of you are in trouble!!!
BLUE:  "intermediate" problems

1 problem: Plugging a number into a function involving [ ] (greatest integer function)
1 problem:   Finding the value(s) of x excluded from the domain of a root function
1 problem:  Finding the value(s) of x excluded from the domain of a function that is a fraction
2 problems:  Solving polynomial equations (and stating how many additional solutions not "visible") using technology
1 problem:  Solving a 1-variable second degree inequality using technology
3 problems:  Composition of functions -->  fog, gof, and f(f(f( )))
1 problem:  "Prove" that two functions are inverses using the definition of inverse fog = gof = x
2 problems:  Determine if functions are inverses (any method)
1 problem:  Graph a function's inverse, determine if the inverse is a function
1 problem:  Given a point, find the corresponding point symmetric to it with respect to the x-axis, y-axis, and origin.
1 problem:  Given a portion of a graph, complete it so that it has x-axis, y-axis, origin, and y = x symmetry
4 problems:  Determine if an equation exhibits x-axis, y-axis, or origin symmetry
3 problems:  Determine if a function is even, odd, or neither
1 problem:  Algebraic linear programming problem (constraints and function given)
1 problem:  "Set up" an everyday linear programming problem

EXTRA CREDIT PROBLEM DUE 9/25:

"How much larger is each angle of a regular 20-sided figure than each angle of a regular octagon?"

Show all work, computations and remember that sharing an answer with a classmate actually reduces your extra credit points!

Football Players and Managers

Please be registered for MathXL before you come to school Tuesday.  Follow the directions on the sheet I gave you and then you will need this course ID:   XL04-01AS-501Y-2U63   (that is a zero in the first set of four, and a zero in the third set, but the letter O in the second set)

Be sure to pick a username and password that you can remember!  Write it down somewhere!

Assignment was slightly revised:
p10 #32-47(skip 38,39), 54-57 (use Desmos)

I never made my own, but these videos could help:
Greatest Integer Function
Vertical Line Test

Answer key for review

Click here, if you dare....

Thursday, Friday May14-15

VIDEOS WILL BE POSTED HERE:  Thursday video1    Thursday video 2    Thursday video 3   Thursday video 4


Friday video 1          Friday video 2            Friday video 3         


Thursday Assignment:  attached to your locker

Friday Assignment:  attached to your locker

Wednesday, May 13th

There is no video, since we just went to work on the last assignment after correcting homework so that these problems could be put on the board before the period ended:  (Paxson please make these up)

Problems #1, 3-6 on this worksheet

May 12th

Assignment due Wednesday:   textbook page 367 #18,22,28;  worksheet (big print side) #44,46-48,53

For you listening/viewing pleasure:   Video 1    (oh no, this is recording)
                                                            Video 2   (chalupas)


Behind math and science, the other majors I considered in college were art and video production....

May 11th

Notes and problems you want to print out before watching video:   Handouts
(should be 3 pages long, for some reason pages 4-5 are repeats of 2-3)

Videos:
Part 1
Part 2
Part 3

Assignment off of worksheets:
page 89 #2,6,11,16
back:  #42,45,51,54,55

May 8th

Notes on simplifying trig expressions:    NOTES

Assignment due Monday:   ASSIGNMENT
(only do circled problems;  enlarge as needed on computer screen to the problems clearly)

Thursday, April 30th

Review worksheet:  Questions

Record answers here:  Answer Form
(results will be emailed back to  you)

Wednesday, April 29th

Go to CK12 and read and watch videos only at this address:  INFO only
(do NOT take the quiz in this unit)

The quiz that I want you to take on CK12 has been assigned to the class.  Go to your assignments online to find it.

Assignment:
P504 #5-31 ODD (all odds so those of you who are absent can check your work;  be sure to show some work to support your answer!)

Monday, April 27th

3 Parts to Your Work Today:
1.  Work on the new CK12 assignment, getting 10 right.

2.  In your textbook:  page 486 #6-8, 14-19, 26-29

3.  Write a one-paragraph essay explaining how Moore's Law, as explained in the Great Falls Tribune article last week, relates to the equation for exponential growth  y = yo e^(kt) that we learned in the last unit.

Friday, April 24th

Do the CK12 assignment online - being sure to complete 10 practice questions.

Then:

Book assignment due Monday:
page 486 #9-11,13,20-25,30-33

Thursday, April 23rd

After getting our book assignments corrected, we will watch:

MathDoctorBob's Math-Filled Heart!    (end the video at 3:50, ignore the last part)

The French Did it Right!   (watch first 8:00)

A different Approach: a Rose by Any Other Name

Now look at the chart that starts on the bottom of page 477 and continues on to page 478.   Use this chart and graph any rose, any lemniscate, and any limacon on page 480 #8-17.  (Total of 3 graphs are due Friday)

Monday, April 20th (and beyond...)

Okay - we are still putting off trig identities in hopes of a couple of weeks where most students can be in class.  If that doesn't happen, I will get the technology needed put together to record my lectures on the smartboard and we will barge ahead anyway...

For now, we are going to cover a topic that I have skipped the last few years due to a lack of time.  But it is a topic that is listed in common core, is tested on the MCTM math contest in Havre, and has merit.  Just due to a lack of time, I have chosen to cut it the last few years.  However, polar coordinates is a topic that I think can be learned independently with some success.  Remember to search for your own videos on Youtube, Partrickjmt, Kahn Academy, etc... if you struggle.  Also don't forget you can actually "read" your math textbook as well -some of us have lost the ability/desire to do this.

Your first assignments are as follows:

MONDAY
Log into CK12 (using your fairfield.k12.mt.us account) to accomplish the following
** "Read" the material on Plots of Polar Coordinates
** "Watch" the video on the same material
**  "Practice" on the assessment until you get 10 right
** "Read" the material on Distance Between Two Polar Points
**  "Practice" on the assessment until you get 10 right

(Relevant book section:  9.1)

TUESDAY
Complete the following book assignment:  page 470 #10-24  (also find the distance between the points plotted in #11,12;   #13,14;    #16,17;    #19,20

The following pdf might be helpful to do your homework:  check it out!   printable graphs

WEDNESDAY
No assignment - all students gone on legislature trip

REMAINDER OF THE WEEK
Keep coming back to this blog for updates as they occur!

Thursday, April 16th

Review key:  KEY

Tuesday, April 14th

For continously compounded interest:

1.  Find the value of a $20,000 investment after 15 years of growth at 8.4%.

2.  Find the value of a $250,000 investment after 25 years of growth at 6.5%.

3.  How long would it take $50,000 to grow to $150,000 at 7% APR?

4.  What is the "effective" APR of an accounting growing at 5% and earning continuosly compounded interest?

5.  Assuming the half-life of carbon-14 is 5730 years, how old is a pertified tree that now contains 3.5% of the carbon-14 that was present while it was alive?

6.  An organism contained 15 grams of the carbon-14 isotope upon death.  How much carbon-14 will remain in the organism (if preserved) after 100,000 years pass?

Do the following book problems:

page 643 #31-36

Monday, April 13th

Don't forget 3-minute memorizing quiz was scheduled for tomorrow! Will do at the end of the period.

Assignment due Tuesday:

page 639 #16,19,20,23,26-30,36

page 643 #26,28,30 

page 617 #25,26,28

These 2 problems:   (need to solve for a variable other than "A" in the compound interest formula)

1.  How long would $10,000 need to collect monthly compound interest at 9% APR in order to grow to $25,000?

2.  What interest rate would be required for $5,000 to grow into $8000 after 8 years?   Assume quarterly compound interest.

Friday, April 10th

Worksheet due Monday:

assignment

Videos to help  you out with the first two sections of the worksheet:
Writing in exp form

Writing in log form


The rest of the worksheet:

Reading and videos from ck12:   ck12 logs
(Lots of videos - only watch if the two below are not enough for you.  Definitely look at the "reading" though)

Log equations PatrickJmt

Log equations PatrickJmt (2)

Videos/help for Wednesday, April 8th

Try these videos out for evaluating logs (remember no calculator on your worksheet!)

Video 1

Video 2

Video 3


Try this reading for graphing log functions:
Reading

algebraic atrocities instructions

Okay, only #3 is true.   Thats it!

Mark on the top of the page how many you missed.

 Now work on the correction column for six you got right (chance the false statement to be true) and for four that you got wrong.

Weekend algebra review

Register for ck12.org using the instructions sent to your fairfield.k12.mt.us email account.   Then go to the ck12.org website and work on the "Real Assignment Due March 30th."   Read the material, watch the videos, and then complete the online practice questions for your grade. (You need to get at least ten correct.)

Email me if there are problems!

Paxson: find your worksheet here

Click on this link:   graphing review

Videos/questions for weekend

Be sure to enter your answers on the form at the bottom of this blog post.

Watch these 3 videos:
Video 1
Video 2
Video 3

The questions you need to answer are on this PDF:
Square Root Equations wksht

Remember, email me if you think that you find any mistakes (but don't expect an early response - I go to bed around 8:30 most nights, old man!!!!!!)

TEST REVIEW KEY

Click below for a copy of the review.

BLANK REVIEW

 PLEASE ADD ONE PROBLEM!!! None of the questions on the last page required long division. #13 had an obvious GCF factoring, and #14 factored completely as a trinomial. So to be ready for the test please find the 3 solutions (no decimal approximations) to the following: x^3 + 3x^2 + 8 = 30x


ANSWER KEY FOR REVIEW

answer to additional problem in red listed above:  x = 4, (-7 +-sqrt(57))/2

Click to view the lesson:       ViDEO

First Algebra Review

Video: Quadratic Formula

After watching, answer the questions below being sure to "submit" at the end!