Homework for Math 180
Fundamentals of Math II

    Due Jan. 16:
    READ pages 779 -- 784, 787 --791 and 796.
    PRE-READ pages 792 -- 797.
    DO page 784 # 1, 2, 3 and page 797 # 1.
    TURN IN page page 786 # 2, 5, 7, 8 and page 800 # 3.

    Due Jan. 18:
READ 787 -- 797 and handout.
PRE-READ 804 -- 806, 812 -- 815 top.
DO page 797 # 2, 3.
TURN  IN page 799 # 2, 4, 6 and hand out problem:
    Make a Scatterplot and Line. 
a)  Pick two quantities about people you think are interesting and possibly related to each other.  Select at least five people you know whose values for at least one of the quantities you picked will vary.  Ask these people for what their values are for these quantities. 
b)  Make a scatterplot of your data, indicating which variable is x and which is y.  From this graph, how related do these variables appear to be?
c)  Draw a reasonable line that comes close to the data you plotted.  Find the equation for your line.  What does the slope of your line tell you?

    Due Jan. 22
READ 804 - 806, 812 - 815.
PRE-READ 815 - 817.
DO page 807 # 4, 6, 7.
TURN IN page 809 # 1, 7, 10, 12, 13.

    Due Jan. 24
READ 812 – 817.
PRE-READ 827 – 836.
DO page 817 # 1, 2, 3.
TURN IN page 820 # 2, 4, 6 and the following questions.   
    A.    The cholesterol levels for women aged 20 to 34 are approximately shaped like a normal with mean 185 mg/dl and a standard deviation of 39 mg/dl.  A cholesterol level over 234 mg/dl is considered high and the person is at risk.  Approximately what percentage of women between 20 and 34 have a high cholesterol level?
    B.   In 2000, the scores of men on the math part of the SAT were approximately shaped like a normal with mean of 533 and a standard deviation of 115.  How high would a man need to score to be in the top 5%?

    Due Jan. 28
READ 827 -- 836.
DO page 836 # 2, 4, 5.
TURN IN page 839 # 5, 10, 12, 17, 19.

    Due Jan. 30
RE-READ 827 - 836.
PRE-READ 842 - 846.
TURN IN page 841 # 18, 22 and these problems:
    1.  About 7% of Americans are “universal donors” for blood transfusions.  That is their blood will be accepted by anyone. 
a)  If two people at random donate their blood, what is the probability at least one of them is a universal donor?
b)  If ten people at random donate their blood, what is the probability at least one of them is a universal donor?
    2.  A personal identification number (PIN) has four digits.  Suppose people chose each PIN at random, which they don’t.
a)  How many PIN are there?
b)  What is the probability a PIN has at least one 0?
    3.  Whether stock prices increase in a year appears to be independent from one year to the next.  Historically, stocks have increased in 65% of all years.
a)  What is the probability that stock prices increase three years in a row?
b)  What is the probability that stocks rise at least one year out of three?
c)  What is the probability that stocks move in the same direction for two years in a row?

    Due Feb. 1
READ 842 - 846.
DO page 846 # 1, 2, 3.  (Make sure you do # 3 before looking at the answer.)
TURN IN page 848 # 8, 11, 15, 16, 17.

    Due Feb. 5
RE-READ 842 - 846.
PRE-READ 383 - 387.
TURN IN page 850 # 18, 19 and the two following problems:
     1.  A telemarketing company dials random phone numbers, resulting in 70% of the calls not being completed, but 20% of the calls resulting in conversations with women and 10% in conversations with men.  The probability that a call ends in a sale, given that it is with a woman is 0.3.  The probability that a call ends in a sale, given that it is with a man is 0.2.  What percent of all calls result in a sale?
    2.    Suppose the voters in a city identify as 40% white, 40% Black and 20% Hispanic.  Polling suggests a particular candidate will receive 30% of the white vote, 90% of the Black vote and 50% of the Hispanic vote.  What percent of the overall vote should that candidate expect?

    Due Feb. 11
READ 383 - 387, 395 - 399 top and handout.
PRE-READ 399 - 404.
DO page 388 # 2, 3, 6 and page 406 # 8.
TURN IN page 393 #3, 5, 10 and page 412 # 4.
  

    Due Feb. 13
READ 399 - 404; 419 - 421 and 423 - 426.
PRE- READ 427 - 431 and 439 - 441.
DO page 405 # 5, 13; page 422 # 3.
TURN IN page 412 # 3, 14; page 423 # 2; page 435 # 10.

    Due Feb. 15
READ 427 - 430 and 439 - 441.
PRE-READ 443 - 449.
DO page 431 # 4, 5 and page 441 # 2, 3.
TURN IN page 434 # 5, 14 and page 442 # 4, 7.

    Due Feb. 19
READ 443 - 449 in preparation for Fr. Magnus.
TURN IN an essay reflecting on how you think different classes (K - 8) can benefit from straight edge and compass constructions and how they can benefit from computer constructions, such as Geometer's Sketchpad.  (You may well say that certain age groups aren't ready for one or the other, although I am confident that 8th graders need to be ready for both.) 

    Due Feb. 25
READ 443 - 449.
PRE-READ 459 - 463.
DO page 449 # 1, 3.
TURN IN page 452 # 5, 10.

    Due Feb. 27
READ 459 - 463 and 469 - 472.
DO page 464 # 1, 2, 4.
TURN IN page 467 # 1, 5, 14, 15.

    Due Feb. 29
Go to the CSB library and look at some issues of Teaching Children Mathematics.  Pick an article about teaching geometry that you think is interesting, make a copy of it and read it.  Then write an essay describing whether you think the activity described would be a good one to do in a class and why.  Discuss the age group you think would benefit from the activity.  Also discuss how the activity fits with the van Hiele model of levels of geometric reasoning.  (What level of reasoning does it assume?  Do you think it would help students move towards a higher level?)  Turn in your essay and the copied article.

    Due Mar. 4
READ 469 - 478
DO page 478 # 1, 4, 5.
TURN IN page 482 # 3, 5, 15, 16.

    TEST 2 on Mar. 6

    Due Mar. 10
PRE-READ 484 - 489
TURN IN page 482 # 4, 6, 8, 13.

    Due Wed., March 12, 2008
READ 484 – 489.
PRE-READ 493 – 502.
DO page 490 # 4, 5, 6.
TURN IN page 491 # 1, 2, 3 and use properties of triangles, including congruence to give reasons for the relationship we saw in the first computer lab between <ABD and <ACD, where C is the center of the circle and A, B and D are on the circle.  (See the figure from the lab or class handout.)

    Due March 14
READ 493 - 503 and handout.
DO page 503 # 3, 7, 8.
TURN IN page 509 # 5, 6, 13, 18.

    Due March 26
READ handout.
PRE-READ 518 - 538.
BE ready to discuss the handout.

    Due March 28
READ 517 - 538.
PRE-READ 540 - 562.
DO page 526 # 7, 9 and page 532 # 1.
TURN IN page 527 # 2, 3 and page 540 # 6, 9.

    Due April 1
READ 540 - 562.
PRE-READ 577 - 603.
DO page 544 # 2; page 552 # 2, page 564 # 6.
TURN IN page 545 # 5, 7; page 555 # 17, 24; page 575 # 17.

    Due April 3
READ 577 - 603.
PRE-READ 609 - 625.
DO page 579 # 2, 4; page 589 # 2, 3; page 599 # 2; page 603 # 1.
TURN IN page 584 # 8, 9; page 593 # 3, 14; page 600 # 2, 4; page 608 # 8.

    Due April 7
READ 609 - 611.
PRE-READ 619 - 625.
DO page 612 # 3, 4, 7, 8.
TURN IN page 616 # 5, 8, 13, 14.

    Due April 9
READ 619 - 625.
PRE-READ 628 - 634.
DO page 621 # 1; page 626 # 1.
TURN IN page 623 # 2; page 627 # 7, 11.

    Due April 15
READ 628 - 632.
PRE-READ 633 - 641.
DO page 630 # 1, 3 and page 634 # 1, 2.
TURN IN page 631 # 2, 3 and page 635 # 2, 6.

    Due April 21
READ 633 - 641.
Do page 634 # 4 and page 641 # 1, 2.
TURN IN page 638 # 12, 14a,b,c and page 644 # 2, 5.

Due April 24
READ Handout pages 364 - 375.
PRE-READ Handout 380 - 395.
TURN IN page 376 # 14, 19, 20, 22, 24.

    Due April 28
READ Handout pages 380 - 395.
PRE-READ Handout pages 403 - 411.
TURN IN page 396 # 5, 6, 16, 19.

    Due April 30 -- Last Assignment
READ 403 - 411.
TURN IN page 412 # 16, 19 22.