PreCalculus:
The First Half (approximately)
Here are
the assignments from the first day to 3/11/20, the start of The New Normal (the
virus).
I moved here
them because the original site was getting cluttered.
Mon. 1a 1/27 
1a: First Class. Meet and
Greet. Nothing due today for
obvious reasons. 

Wed. 1b 1/29 
1b: Have this done for 1/29:
Read all of Ch1.
Do the following exercises on pp. 810: 1, 3, 4, 5, 7, 8, 10, 11, 13,
15, and 17. Come to class ready
to do them on the board if necessary.
Turn in full presentation of 1.4 on p8 and 1.10 on p9. [See below for expectations on
turnedin homework.] 
Notes on HW assignment. For 1.4, notice that the
cylinder must circumscribe (not inscribe) the square base described in the
problem. Also note that the
numerical answer provided at the end of the book is the mass of the air in
the cylinder, not the amount of kilograms that it exceeds the mass of the
tower itself. The wording in the
book is a bit unclear. 1.13: Solution and
written up well General
Impressions of 1^{st} HW Assignment:  Get a
stapler if you don't already have one.  Get
or make a compass and straight edge.  Many
of you needed much more prose to explain the math. Tell the story of the problem.  Some
of the drawings were great. Some
were just ok. Some were pretty
bad. 
Layout was good on most, but a few were chaos. 
Mon. 2a 2/3 
2a: The
following is due on Monday, 2/3:
Read Ch2.
Do these problems: pp. 2224: 1, 2, 5, 7, 9, 11a, 11c, 12, and
13. Some of these are quite
hard. Don't get discouraged. Do the Extra
Materials for Ch2 [Hard copy handed out in class.].
Conversions, Excel, and Repeating Decimals. Turn in the "Extra Materials for
Ch2" handout and the following problems from Collingwood, Ch2 (pp.
2224): Write up 7 & 9. In class: Issues from Ch2. Then "Completing the Square"
and problem 3.2a, 3.2c. Example
3.3.1. Then discuss exercises
3.1a, 3.6ab, 3.8b if time. 
Note for Example 2.3.2: Given: Michael has a velocity of
15ft/s to the right, and Aaron is going 8ft/s to the left. Extra Credit: problems 2.3
and 2.4*, *Problem 4: The answers in the back for part b are
inverted, columns for rows, and it assumes that you put the origin of your
graph 2 miles directly below Erik's boat. HW Ch2
Solutions: These are just the computations. This would earn 10/10. 2.9Full Solution
by Anon. Student This did earn 10/10. 
Wed. 2b 2/5 
2b:
Chapter 3: Horizontal &
Vertical Lines AND Circles
Read Ch3.
Do exercises on pp. 3132:
3.1, 3.2, 3.4, 3.5, 3.6, and 3.8.
You may need to review how to complete
the square for some of these.
Turn in exercises 3.2b and 3.4 In class: Go over problem similar to 4.3. Area of triangle, etc. 
y = (x, 2) for any x 
horizontal line at y = 2 x = (4, y) for any y  vertical line at x = 4 All points that are a
fixed distance from a given point is a circle: Ch3 Solutions to Assigned Exercises: a bit messy More
detailed look at 3.2a with additional comments on circles. 
Due Date 
Assignment 
ExtrasOptionsAddenda 
Mon. 3a 2/10 
Read Chapter 4 (pp. 3350). This is a long one. We'll spend two classes on Chapter 4.
Do Exercises: 4.1, 4.2, 4.3, 4.4, 4.5 found on p51. Turn in the following ch4 problems:
4.3 (all parts). This is an
expansive problem. Accurate and
relatively large graphs are very useful.
Graph paper for the graphs is also helpful, but not necessary. Turn in: Make a linear model to
predict the world's population in the year 2050. Use population data points from the
years 1900 and 1999 only. Then
make another linear model using only the population data from 1999 and 2012
to predict the population for 2050.
Comment on these models.
[Look up necessary data.] 
Notes:
Choose your perpendicular for problem 4.3a wisely. There is one easy perpendicular, and
there are 2 much harder ones.
Choose the easy one. The
mathematics in this problem is figuring out which is the easy perpendicular,
not doing the calculation.
Problem 4.3b requires that you find x and y intercepts. Hint: What are the coordinates of intercepts
in terms of ordered pairs, (x, y)? A few World
Population Graphs. Solutions to the
exercises assigned for today. 
Wed. 3b 2/12 
Turn in problem 4.6 (all
parts)... from Ch4
exercises. As always, draw
excellent diagrams and use lots of prose to describe what you are doing. Make
an Excel Quadratic Formula Calculator.
Input a, b, and c, and output the two values for x. Here is a PDF for guidance: QuadCalculator. 
Detailed Solution
to 4.6 Methods in this problem will be useful for the quiz. Note: The diagram in this PDF has
many of the answers included. I
added them to the diagram as I figured them out. Several of you did excellent jobs
on 4.6. I didn't have the time to
scan the best ones, so I'm not posting any of them. General Notes on HW: 1) GET STAPLERS! I'll
start marking –1 for unstapled HW.
Next week, –2, etc. 2) Identify the HW below your name with the due date. E.g. "Exercises 2.7 and 2.9  Due
Feb. 3^{rd}. 3) Many of you still need much more prose. Walk me through your thinking, don't
just calculate. That's not only
boring, but it is not really mathematics. It's computation. 
Mon. 4a 2/17 
Turn in TakeHome
Quiz1: The Circle and the Line.
Due today. Problems 13 can be answered directly on the quiz
itself. I suggest you do the
calculations on another sheet of paper and then transfer your pristine
solutions to the quiz sheet.
Unless for some reason you want me to see them, I don't want to see
your scribbles. Problem #4 should
be done on your own paper and presented like a homework writeup. Full commentary, diagrams, pertinent
calculations, jokes, etc. 
GoogleSheets
 almost identical to Excel 
Wed. 4b 2/19 
Do these problems from chapter 4: 4.8, 4.9, and 4.16. [4.8 is quite hard.] Read Ch5 and then do the following problems: 5.1, 5.2, 5.5, 5.6, 5.9, 5.10. Turn in problem 5.6. 
Time is running out to turn in back homework for
credit. The older the assignment,
the less credit available.
Because the solutions are posted for most of the previous homework, if
you want some credit, you need to do it well and with clear diagrams and
commentary. A description of how
homework should be done is below.
Here is the solution to 4.8. Try to do it first, before you look at
this. Solution to 5.6 and
other problems  These are rather abbreviated. 5.6 Student
Solutions by Julia and Fiona 
Mon. 5a 2/24 
Ch6 (We'll
be doing an abbreviated version of this chapter) Do 6.5, 6.6, 6.10, and 6.13. Turn in: 6.10.
All the bells and whistles. Turn in this worksheet: The
Square Root of a Square Root 

Due Date 
Assignment 
ExtrasOptionsAddenda 
Wed. 5b 2/26 
Ch7 Read over
Ch7. Do these
exercises: 7.1 and 7.2 Turn in: 7.1b and
7.2c. Remember to walk me
through these problems. Don't
just present the calculations.
Your presentation should be understandable to anyone who is familiar
with this material. Your
presentation should be a selfcontained essay. Your presentation should be the 2^{nd},
not the first draft and nicely formatted. If possible, your presentation
should be entertaining too.
What's on your mind? Talk
to me.
[Staples required.] and Notes for doing 7.2 
Emma A's and
Monroe B's Solutions to 7.1 and 7.2. Math Study Room. The details of when, where, and who
are below. 
Mon. 6a 3/2 
Ch7, pt2 Do these problems: 7.4, 7.5, 7.11, 7.18 (clever
trick), 7.19 (very hard), and 7.20 (pretty hard). PDF
of assigned exercises. Turn in
7.11. Tell the story of 7.11. Get extra
credit for exact answers to any of these: 7.19a , 7.19b, 7.19c. Feel free to take advantage of the Math Study Room. The details of when, where, and who
are below. In Class:
Show perpendicular rotations Sum of Consecutive Numbers 
Hints: 7.4: Rewrite in vertex form and determine the
conditions whereby the parabola sits on the xaxis. Here is an animation of 7.4a.
7.5:
It's just a 3point problem with limits on the domain and range (no
negative days and no negative prices).
In other words, where the time and price make sense in the real world.
Part b is just finding the maximum using the vertex form of the
quadratic and then not forgetting that you have 1000 shares (not 1) and that
you bought the stock on day 30 (not day 0) and then figuring out the profit,
not the overall worth of 1000 shares. 7.11:
Set up perimeter equation.
Solve for the vertical side dimension of the rectangular part. Then set up the Area equation and substitute in the
vertical side dimension in terms of the horizontal side. Then complete the square, but all you really need is
the b/2 thing. That will be your
horizontal length. The book gives
the radius of the circle for its answer. 
Wed. 6b 3/4 
Review of chapters 1 – 7. Turn in
problem 7.14. I'd like good diagrams or illustrations
along with an organized presentation with useful prose and a joke or two. Turn in
Calculations Exercises Worksheet: PDF. I forgot to hand these out in class (some of you got one)... the
rest are in the box outside my office... or you can print it up yourself and
do it. TakeHome Midterm Exam
handed out. Due Monday, 3/9/20. 
Homework is looking great in general. Love those staples too! Here are 2 short videos of similar triangles formed
by perpendicular lines: MidTerm TakeHome Take a Break with: 
Mon. 7a 3/9 
TakeHome Midterm Due. 
I've received a couple of questions about 5d and 5e
from the midterm. Here are
illustrations to help you understand my meaning: 5d&5e. Hint
for problem 5 setup. Hint
#2: Use with similar triangles Series of
Videos with Hints for #5 of MidTerm: I put
these videos into a GooglePhoto Album. The link is here: GoogleAlbum MidTerm Hints FinalBlackboard
Picture from these videohints Look over this website. It begins to give you an idea of the
scale of our local astronomical neighborhood. 
Wed. 7b 3/11 
Ch8: Composition: Read the chapter. This chapter does a relatively good
job explaining how compositions of functions are useful. Do these problems: 8.1a, 8.2, 8.3, 8.5, 8.7, and
8.9. (Do all parts unless
otherwise indicated.) Chapter
8 Exercises and Answers and a few solutions. Turn in
8.7. You'll need to use the quadratic
formula and I'd like you to draw up a pretty good graph. Remember to comment and explain and
walk me through your thought process.
Calculations by themselves
(without comment and organization) will be summarily dismissed. I simply don't have time to
figure out confusing homework. If
you are confused by the assignment, that's fine, write about it. Explain your confusion. Try
graphing it and approximate an
answer from the graph. If
done well, that's an excellent start and will be rewarded. 
