Pre-Calculus at Lathrop High School Back to JeffBaldwin.org
Pre-Calculus is offered
at Lathrop High School to prepare students for AP Calculus AB and AP Calculus
BC. Since we are on Block Schedule, we are able to offer both AP Calculus
programs. First year AP Calculus AB is offered in the Fall,
and second year AP Calculus BC is offered in the Spring. In May the students
are able to take the AP Calculus BC test which will also have an AB sub-score.
It’s a two-for-one offer, you get two AP scores for taking only 1 test. Our
Pre-Calculus program specializes in preparing students for the course work in
both of the AP courses.
The content of the
Pre-Calculus class includes Functions and Graphs, Polynomials, Quadratics and
Conics, Solving Systems, Matrices, Trigonometry, Complex Numbers, Sums, Series
and Sequences, Polar Coordinates, Parametric Equations, and other topics.
The class is rigorous and
rapid. It is analytical in nature and the students are warned that it will be
difficult in content and speed. Mr. Baldwin will do anything he can to help,
but the students will need to remain totally engaged during class and be
re-engaged at home every night for studies. Students may
call Mr. Baldwin anytime, 24-7, for math help,
his phone number is 594-1894. His work
e-mail is jbaldwin@musd.net, his home
e-mail is baldjeff@comcast.net, and
his business email is bald@jeffbaldwin.org.
His cell phone is (360) 640-0093.
Parents are invited to communicate with Mr. Baldwin at any time for any reason.
Also, please check your child’s progress in this class daily using Parent Portal.
Parents: Your child is expected to put at least two hours
of energy into their Pre-Calculus work each and every night
regardless of assigned homework. Regardless of what they may tell you, there is
NEVER a night where they do not have
two hours of homework. The result of not doing this will be poor test and quiz
performance and therefore poor grades. I am available on a 24-7 basis. If your
child is not performing to your specifications, please remove all the
distractions from their nights. This would include Internet, television, cell
phones, texting, emailing, and possibly more, such as sports and cheerleading.
Many students fail Pre-Calculus, and later tell me that they continued in their
other interests to the tune of 3 to 5 hours a day. This really is a deal-buster
for an analysis class. Sorry for the bad news, but I am brutally honest. Other
things in their lives that take hours a day will destroy their Pre-Calculus
performance. Period. The intensity will not seem that great at first, but it
will suddenly hit like a bat, and those who are not in the habit of
time-devotion are going to be the ones that fail.
There are a few subjects
that have the same thing in common, and that is if you are in it all the way it
will be the coolest thing you’ve ever seen, but if you get behind and confused,
it will be the worst thing you’ve ever experienced. They would be logs, trig,
matrices and sums. Your energy in can’t be high enough. I’ll say “I told you so”
later on when you’re there and you haven’t put that energy in.
This class is
specifically designed for students who are planning on becoming engineers,
doctors, and otherwise members of the technological community. If you are
taking this class for other reasons, such as to increase your transcript
status, please be aware that it will be paced quickly and rigorously for the
intent of this high level of expectation. Please increase your level of rigor
and personal performance minimum standards to this degree.
One more thing to mention
parents. Many kid who get into a Pre-Calculus
class are those straight-A students who always gets As
in their math classes. They do this by memorizing a chapter’s content, puking
it out to the teacher in a test, then forgetting that material so they can move
on to the next thing to memorize. This will not work in an analytical math
class. The student must be able to continue on with the material and use it by
thinking, not regurgitating. If your straight-A student suddenly is getting
lower grades, please remember that you have been told this and the ability to
think a problem through may not yet exist and must be developed. Chronically
retaking exams is not the answer, so please do not beg me for this service. Not
getting an A may be the wake-up call you child requires to learn how to think
rather than responding with memorized junk.
Here ae some group
workings by the kids.
Just before Halloween in
2015 our Pre-Calculus class determined the distance from Mr. Baldwin’s doorknob
and Mr. McGrath’s doorknob. The problem is that the buildings themselves are in
the way. So Way 1 to determine this was to go from Baldwin’s doorknob to the
flagpole by the theatre, then from the theatre to McGrath’s doorknob, determine
that angle, and use the Law of Cosines to determine this distance [assuming the
Earth is flat, which it isn’t]. Here is a student created chalkboard picture of
the problem drawn by Prassad.
A tree was in the way
between Baldwin’s room and the pole, and another tree was in the way between
the pole and McGrath’s room. Issues were solved.
Meanwhile, three students
measured down the building from McGrath’s room, then along his building, then
down the hall to Baldwin’s building, then over to Baldwin’s door, and the total
east distance was computed, the total south distance was computed, and the
Pythagorean Formula was used to hopefully match the Law of Cosines formula.
Here is the chalkboard work by Giri.
A table was set up by the
flag pole to mark directions to the doors. They were drawn on the table and the
angle was measured back in the classroom. Yang used a mirror to align the ruler
to point directly at each door. This enabled him to not have to look through
the flag pole [impossible].
Lots of hard working
Pre-Calculus students.
Our
Approximate Schedule
Pre-Calculus Fall 2020 |
||
Approximate Schedule
and Pacing Guide |
||
Chapter |
Date |
Subjects |
1 |
8/6/2020 |
Field of Real Numbers,
Sets of Numbers |
1 |
8/7/2020 |
Linear Equations and
Graphs |
1 |
8/10/2020 |
Relations and
Functions |
1 |
8/11/2020 |
Transformations |
1 |
8/12/2020 |
Composition of
Functions |
1 |
8/13/2020 |
Inverse Functions |
1 |
8/14/2020 |
Bone-Up |
1 |
8/17/2020 |
Test Ch 1 |
2 |
8/18/2020 |
Quadratics and
Parabolas |
2 |
8/19/2020 |
Polynomials |
2 |
8/20/2020 |
Polynomials and
Synthetic Division |
2 |
8/21/2020 |
Polynomials, Factor
Theorem, Graphs |
2 |
8/24/2020 |
Complex Numbers |
2 |
8/25/2020 |
Rational Functions |
2 |
8/26/2020 |
Rational Functions |
2 |
8/27/2020 |
Nonlinear Inequalities |
2 |
8/28/2020 |
Bone-Up |
2 |
8/31/2020 |
Test Ch 2 |
3 |
9/1/2020 |
Exps, Logs |
3 |
9/2/2020 |
Graphs fo Exps, Logs |
3 |
9/3/2020 |
Properties of Logs |
3 |
9/4/2020 |
Exp and Log Equations |
3 |
9/8/2020 |
Solving Problems with Logs |
3 |
9/9/2020 |
Solving Problems with
Logs |
3 |
9/10/2020 |
Money |
3 |
9/11/2020 |
Money |
3 |
9/14/2020 |
Bone-Up |
3 |
9/15/2020 |
Test Ch 3 |
4 |
9/16/2020 |
Unit Circle, Radians,
Degrees |
4 |
9/17/2020 |
Trig Functions |
4 |
9/18/2020 |
Right Triangle Trig |
4 |
9/21/2020 |
Trig of Any Angle |
4 |
9/22/2020 |
Graphs of Sines and
Cosines |
4 |
9/23/2020 |
Other Trig Graphs |
4 |
9/24/2020 |
Inverse Trig |
4 |
9/25/2020 |
Bone-Up |
4 |
9/28/2020 |
Test Ch 4 |
4 |
9/29/2020 |
Trig Identities |
5 |
9/30/2020 |
Proofs |
5 |
10/1/2020 |
Proofs |
5 |
10/2/2020 |
Solving Trig Equations |
5 |
10/5/2020 |
Sum/Diff formulae |
5 |
10/6/2020 |
Double Angle Formulae |
5 |
10/7/2020 |
Half Angle Formulae |
5 |
10/8/2020 |
Bone-Up |
1, 2, 3, 4, 5 |
10/9/2020 |
Midterms / Test Ch 5 |
5 |
10/19/2020 |
Identities, Proofs |
5 |
10/20/2020 |
Identities, Proofs |
5 |
10/21/2020 |
Identities, Proofs |
5 |
10/22/2020 |
Test Ch 5 |
X |
10/23/2020 |
Expansion |
X |
10/26/2020 |
Expansion |
6 |
10/27/2020 |
Laws of Sines and
Cosines |
6 |
10/28/2020 |
Laws of Sines and
Cosines |
6 |
10/29/2020 |
Laws of Sines and
Cosines |
6 |
10/30/2020 |
Vector |
6 |
11/2/2020 |
Vectors, Dots,
Projections, Angles |
6 |
11/3/2020 |
Trig form of Complex
Numbers |
6 |
11/4/2020 |
de'Moivre's Theorem |
6 |
11/5/2020 |
de'Moivre's Theorem |
6 |
11/6/2020 |
Bone-Up |
6 |
11/9/2020 |
Test Ch 6 |
8 |
11/10/2020 |
Substitution and
Addition Methods |
8 |
11/12/2020 |
Matrices |
8 |
11/13/2020 |
Matrices |
8 |
11/16/2020 |
RREF |
8 |
11/17/2020 |
RREF |
8 |
11/18/2020 |
Multiplication,
Identities, Inverses, Determinants |
8 |
11/19/2020 |
Cramer's Rule, Cross
Products |
8 |
11/20/2020 |
Cramer's Rule, Cross
Products |
8 |
11/23/2020 |
Bone-Up |
8 |
11/24/2020 |
Test Ch 8 |
9 |
11/25/2020 |
Sums, Series,
Sequences |
9 |
11/30/2020 |
Sums, Series,
Sequences |
9 |
12/1/2020 |
Arithmetic and
Geometric Series |
9 |
12/2/2020 |
Infinite Geometric
Series |
9 |
12/3/2020 |
Infinite Geometric
Series |
9 |
12/4/2020 |
Math Induction |
9 |
12/7/2020 |
Math Induction |
9 |
12/8/2020 |
Binomial Theorem |
9 |
12/9/2020 |
Binomial Theorem |
9 |
12/10/2020 |
Bone-Up |
9 |
12/11/2020 |
Test Ch 9 |
Chapter 1- 9 |
12/14/2020 |
Bone-Up |
|
12/15/2020 |
Bone-Up |
|
12/16/2020 |
Finals |
|
12/17/2020 |
Finals |
|
12/18/2020 |
Finals |
A
few hyperlinks to use.
Click ME to download and print the Chapter 1 Expectations! This link needs repairs
Click ME to download and print the Chapter 3 Expectations! This link needs repairs
Click ME to download and print graphing quadratics.
Click ME to see how to graph sinusoids.
Click ME to download
and print the Final Prep Sheet! This
link needs repairs
Click ME to get to Conic Sections Stuff!
Click ME to get to Dog Problems!
Click ME to download and print the Symbols sheet!
Click ME to download and print rational functions instructions!
Click ME to download and print radical functions!
Click ME to download and print
rules of Exponents and Logs!
Click ME to download and print money and economic formulae.
Click ME to download and print Midterm Final material. This link needs repairs
Click ME to see the U.S. Census!
Click ME to download and print the Trig Builder Sheet!
Click ME to download and print the Trig Identities Cheat Sheet!
Click ME to watch my You Tube video on the Proof for the Cosine Sum/Difference Rule!
Sorry for how fast these go, that’s why there’s this video.
Click Me to watch my You Tube video on the Proof for the Sine Sum/Difference Rule!
Sorry for how fast this goes, that’s why there’s this video.
Click ME to download and print the Trig Identities Verification Worksheet!
Click ME to download and print the expectations of the Pre-Calculus Midterm Final Exam occurring October 2014. This link needs updating
Click ME to use de-Moivre’s theorem to determine nth roots of complex numbers.
Click ME to learn about solving Matrices by manipulating them into Reduced Row Echelon form.