Updated: 20070904
Newest updates have RED Link #s
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Intro |
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Intro |
Matrix Modeling |
Vectors |
Personal Finance |
Probability |
Statistics |
Design |
Periodic |
Sequences |
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Introduction
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Intro0 |
Course
Reference Notes. Revised: 20070904.
Every thing you want to know on two pages!!!
You are actually allowed two pages of Notes for the Final Exam, use
these if you want, but you had best make certain you have been
studying them throughout the course!! You don't want to complicate your
exam by trying to figure out 'your notes' for the first time!!! |
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Intro1 |
Course
Outline. Here is the course outline , policies, assessment plan,
etc. |
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Intro2 |
Manitoba
Curriculum - Mathematics 40S Applied . See what you are supposed to
learn by outcome. |
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Intro3 |
Distance
Learning - Mathematics 40S Applied . See the on-line version of the
course for distance learning. A very handy reference. Type in
Login: demo and PW: demo |
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Intro4 |
Old
Manitoba Exams. Check out several years of previous Grade 12
(Senior 4) Mathematics Exams in the |
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Into5 |
Grade 12
Exams. Past Exams with answer keys! This is from BC, but all
the western provinces really have the exact same mathematics curriculum
anyway! |
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Intro6 |
Helpful Tools An
on-line Graphing Calculator. Graph anything you want!! Don't forget
to use * for multiply and ^ for exponent |
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Intro7 |
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Intro8 |
Example End
of Year Exam for Grade 12. we will
probably have an end of unit exam for Grade 12 (Senior4) this is a great site
to test your Grade 12 Skills. This is moderately tough, more an
Advanced Placement version of Grade 12, but the questions also provide
hints! Give it a try! You might like it..
It follows the Nova Scotia Math Curriculum/ |
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Intro9 |
Mathematics Dictionary.
This Dictionary is perfect for Grade 12. It is rather advanced, but for
those who want to explore further it is great. |
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Intro10 |
Mathematician
Biographies. A great site! Learn about the history of a
mathematician or of a mathematics subject! Sometimes understanding the
lifetimes spent to develop ideas makes math much more exciting. |
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Intro11 |
Manitoba Association of Mathematics
Teachers (MAMT). A good portal to some math resources. Check
out the Resource Links
especially. |
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Intro12 |
MATH PORTAL
GRADE 12 APPLIED. Here is another teacher that does the same thing
I do! Makes excellent Links for his students! This is totally
brilliant. |
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RESOURCES
BY UNIT
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Unit
A: Matrix Modeling
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A0 |
Class
Notes- Matrices. Unit notes for Matrices |
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A1 |
Worksheet-
Introduction to Matrices. A good little worksheet, add,
subtract multiply by a scalar. |
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A2 |
Example Test - Matrices. Example Test from |
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A3 |
Multiplying
Matrices. Check out this Movie! If you have headphones even
better! |
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A4 |
Advanced
- Matrix Transformation. This is advanced application of matrices,
but if you are into computer gaming this explains how figures and shapes can
be transformed. |
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A5 |
Self
Test Matrices. Quick little notes and self test on adding matrices |
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Unit
B: Vectors
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B0 |
Unit
Notes. These are the Class Notes |
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B1 |
Vector
Calculator. Use this great calculator to add vectors! It uses
the parallelogram method. |
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B2 |
Vector
Calculator. Another good vector calculator. (It can subtract
too!) And it can do three dimensional vectors! (we only do two
dimensions in High School) |
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B3 |
Vector
Calculator. This one is good, it shows the components too! |
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B4 |
Movie
- Vectors. A great movie about Vectors from |
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B5 |
Vector
Components. Check out this animated show on how Vector Components
work. Click on the little 'Full Screen Slide Show' button in the bottom
right corner of your browser (looks like a movie screen). Or click if
you don't need all the animated graphics just
the slides |
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Unit
C: Personal Finance
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Example Test. Example Test from |
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Unit
D: Probability
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D-1 |
Introduction
to Probability. A great site, has some animations http://www.mathgoodies.com/lessons/vol6/intro_probability.html |
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D-2 |
Theoretical
Probability. Great notes on Theoretical Probability |
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D-3 |
Outcome,
event, and sample space. A good link that explains what is an
outcome, an event, and a sample space. |
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D-4 |
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D-5 |
The
Complement of an Event. The complement is just the NOT of
something! |
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D-6 |
Permutations
and Combinations - Math Forum. A good introduction to Permutations
and Combinations |
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D-7 |
Simulation
- Babies and Basketballs. A good explanation of simulation and
theoretical possibility. Is it possible for 10 girls to
born in a row at a hospital? |
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D-8 |
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D-9 |
Factorials.
A substantial and in-depth explanation of factorials. Good practice for
you! |
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D-10 |
Permutations.
A good explanation of permutations. Remember! The order does matter in permutations. |
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D-11 |
Combinations.
A Good Explanation of Combinations. In combinations the order does not matter. Try this quick Math
Problem for combinations too! |
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D-12 |
Perms
and Combs Notes. Very good notes on Permutations and
Combination. |
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D-13 |
Permutation
Notes. 4 great pages of notes for combinations. |
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D-14 |
Combinations
Notes. 4 great pages of Combinations notes. Don't forget,
combinations are like permutations, except the order you group your choices
doesn't matter. |
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D-14A |
Table
of Perms and Combs. Sometimes seeing a table is better than just using a
calculator! Easier to see patterns. Besides, most of your teachers never had
calculators in the mid 70s, we only had tables! |
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D-15 |
Perms
and Combs - On-Line Test. Try this short on-line test, Perms and
Combs. Has hints and answers! |
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D-16 |
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D-17 |
Compound
Events Notes. Great 4 pages of notes on Compound Events. For
example the probability of two things happening like you
win the lottery AND you get hit by a bus! |
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D-18 |
Compound
Events - On-Line Test. Try this short test! |
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D-19 |
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D-20 |
Practice
Worksheet - Probability. The Answers
to the Practice Worksheet |
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D-21 |
Great Simulations. Try the links here for some good simulations: Coin
Toss. Toss up to 10 coins at the same time form many trails Spinners.
Spin two spinners up to a million times! |
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D-22 |
Spinners
and Dice - Simulation. This is an excellent interactive site.
Make your own spinners! Make one that is 95% green and 5% Red.
Make dice with 2- fives if you want. Run some experiments, have
fun. Hey, make dice that have all six sides that are fives! What
is your probability of rolling a sum of seven then? |
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D-23 |
Spinner
Simulation. Great interactive spinner. Design your own.
Make it 97% Green if you want. Great for simulating and experimental
probability. |
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D-24 |
Marbles
Marbles Marbles.
Lost your marbles? Don't worry, you can
simulate a bagful of them here. Invent your own bag of marbles, make 10,000 draws if you want. Replace or
don't replace the marbles. It is all fun, watch the experimental
probability compared to the theoretical probability of what you did. A
riot. |
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D-25 |
Example
Test - Probability. Example Test from |
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D-26 |
Extra Worksheets: Simple
Probability - What it Means Fundamental
Counting Principle. Permutations
and Combinations. Compound
Events - Dependent and Independent Probability
Review. A fun little worksheet. |
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D-27 |
Excellent
Notes. 14 Pages of Excellent notes on probability. |
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D-28 |
Grade
9 Probability Math Links. Don't forget to check these out from
Grade 9!. |
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D-29 |
Good
Sample Questions. Some great sample questions from |
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D-30 |
Probability
and Statistics Glossary. All the terms you cover in grade 12
Probability (and in the other unit Grade 12 Variability and Statistics are
included on this website). A perfect reference although we will only
learn one type of distribution, the Normal Distribution. |
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D-31 |
Arrangements
in a Circle. A great explanation with problems and solutions of
what happens when you try to arrange things in an order around a
circle. We will not spend very much time on this in Grade 12 though. |
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D-32 |
The
Famous Game Show Problem. This is advanced, but some may enjoy
it! Should you go for what is behind door #3? |
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D-33 |
Odds
and Probability. 'Odds' is another way to measure chance, Like
probability. Check this out if you want too see the difference. |
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D-34 |
Figure
This Challenge Nbr 26. Try this problem
for fun. Figure
this Problem #28. More fun. Figure
This # 22. What if you forget your combination number? Figure
this #6. Try this pathway problem. |
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D-35 |
Probability
Test - On-Line. Try this short on-line probability test! Has hints! Check the answers! |
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D-36 |
Probability
Game - Ecology. Will mankind survive, does probability play a role?
Try this fun game of rabbits, wolves and forest. See if all of them can
survive in harmony! Change the breeding rate of the rabbits, the eating rate
of the wolves, see is you and probability can make the world survive! |
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D-37 |
20
Pages of Solved Permutations and Combinations Problems. Enjoy. |
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Unit E: Variability and
Statistical Analysis
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E-1 |
Probability
and Statistics Glossary. All the terms you cover in grade 12
Probability (and in the other unit Grade 12 Variability and Statistics are
included on this website). A perfect reference although we will only
learn one type of distribution, the Normal Distribution. |
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E-2 |
Notes-Mean,
Median, Mode. Great notes and examples to review the central
tendency statistics of Mean, Median, and Mode. |
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E-2A |
Central
Tendencies. A great animated and with sound interactive explanation
of Mean, Median, Mode and more. |
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E-3 |
Mean
Median Mode Demonstrator. A great interactive way to show how mean,
median and mode change. You set up the stats. See if you can make
the measures of central tendency all the same; all different. |
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E-3A |
Self Tests. Some quick Self Tests: (Have your calculator
ready) Mean
Self Test, Median
Self Test1, Median
2, Mode
Self Test, |
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E-4 |
Stats
Demonstrator. Invent your own animal, your own units of measure, find the mean, median, deviation,
everything. Interactive and easy. |
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E-4A |
Basic
Statistics Exercise. Find the statistics of those Bomber Crews who
died in the Royal Canadian Air Force. How old were they? How closely grouped
were they to a certain age. When you do the math you will find they
were something like 22 years old, give or take a couple years. |
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E-5 |
Normal
Distribution and Standard Deviation. Check out this great
animation. This will do all your Z score homework for you! |
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E-6 |
Area
under Normal Distribution Curve. Another good interactive
demonstration of the normal 'curve' or normal distribution. |
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E-7 |
Normal
Distribution Demonstrator. Check out this interactive site.
Make random data that has different standard deviations. See how the
data is usually very close to the ideal 'normal' curve, especially if you
take a very large sample size (a large number of trials) |
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E-8 |
Standard
Deviation and Z-Score. - See a graphical animated explanation of
the Standard Deviation of a normal population and also the z-score! |
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E-9 |
Area
and Z-Scores of the Normal Distribution. Interactive! |
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E-10 |
Single
Variable - Stats Calculator. A great calculator to find the mean,
median, mode, range, deviation of data. Caution,
mode doesn't work too well if it is non-existent or if multiple modes in this
program. |
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E-11 |
Normal
Approximation to Binomial. Check out this interactive
demonstration of how the normal distribution is close to the binomial
distribution provided the normal distribution isn't too 'lopsided'. |
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E-12 |
Binomial
Distribution. Interactive. Finding the probability of a
certain number of events happening when there are only two choices (win or lose for example). It is actually possible
for example to only win 20% of the time
historically but still win every game in the next 20 games. |
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E-13 |
Demonstration
of Confidence Interval. Good animation to show Confidence
Level! This explains what the news reporters mean when they say
'accurate to 5% points 19 times out of 20'. |
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E-14 |
Example Test - Statistics. Example Test from |
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E-15 |
Blank
Z-Score Templates. For those who want a neat worksheet on which to
sketch their z-score and normal distribution calculations. |
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E-16 |
Standard
Deviation Template. For those folks who just love to crunch lots of
numbers and calculate standard deviation the long way! Just fill in
this template and crunch away. |
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E-17 |
Worksheet
Practice- Prairie Dogs. Calculate
some statistics on those cute little Prairie Dogs and some Ostriches |
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Unit F: Design and Measurement
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F-1 |
Circumference
and Area of a Circle Worksheet. ; Area
of Circles Examples; |
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F-2 |
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F-3 |
Volume:
Prisms and Cylinders Worksheet.
More Examples.
Even More Examples.
Take a quiz! |
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F-4 |
Volume:
Pyramids and Cones - Worksheet.
More Examples.
Then take a quiz. |
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F-5 |
Surface
Area - Prisms and Cylinders - Worksheet. More Examples.
Then take a quiz!! |
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F-6 |
Surface
Area Pyramids and Cones - Worksheet More Examples.
Then take a quiz!! |
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F-7 |
Volume
of Prisms and Cylinders Notes. Some great study notes. |
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F-8 |
Surface
Area of Cylinders. Some great study notes |
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F-9 |
Practice
Assignment - Measurement Areas and Volumes. A typical type of
assignment. |
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F-10 |
Typical
Final Project for Design and Measurement. A typical final
project! And the Marking
Rubric (how it is marked) |
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Unit G: Applications of
Periodic Functions
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G-0 |
Unit
Notes. Our class Notes. A shorter and older version is here: Older
Class Notes |
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G-1 |
Radians
and Pi Radians. Great animation! What is a radian??? |
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G-2 |
Graphing
the Sin(x) Function. Check out this great animation. We
actually can measure angles all the way around the circle and even several
cycles around the circle! |
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G-3 |
The Sin
Function. Check out this animated function machine. Put in
any angle, see what comes out! |
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G-3A |
Sine
Calculator Template. Calculate your own Sine values graphically
using this simple template. |
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G-4 |
The
Cosine Function. Extended thinking! We don't need this for
Grade 12 Applied! Check out this great Cosine function
animation. Put in an angle, out comes a cosine! See how a Cosine
is just a phase shifted Sine??? |
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G-5 |
Tides
- An Exercise. Check out how tides are periodic. Only bother
with page 1 here though. |
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G-6 |
Modelling Temperature Changes. An activity you
may to explore for fun. |
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G-7 |
A
great Movie about Periodic Functions. Or you can launch
it from here
also. |
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G-8 |
Another
good Movie on Periodic Events. Uses shock wave or start is here. |
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G-9 |
Sinusoidal
Regression on the TI-83. How to find the sine function in standard
form to match some given data. |
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G-10 |
Sinusoidal
Regression Practice. Try some of these seasonal type regression
practice exercises. |
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G-11 |
Sinusoidal
Graph Paper. Use this graph paper to plot your sinusoidal functions
in degrees, decimal radians, or pi radians. |
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G-12 |
Identify
the Formula. Can you identify the formula for the given sinusoidal
figures? Check out these dozens of practice plots,
see if you can figure out what all the different coefficients and terms do in
the standard formula. Click if you just want a notes version of all the
slides: PDF
notes version |
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G-13 |
Typical
Periodic Problem. Guess who Miss C is! Solution
to The water Dunk. |
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G-14 |
Bay
of Fundy Tides. Check out this animated
graphic on the tides coming in and out in |
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Unit
H: Sequences
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H-1 |
Fun
Exercise -Sequences. Can you guess whether it is Arithmetic or
Geometric? Can you find the formula for the sequence? |
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H-2 |
On-Line
Test - Arithmetic Series. Short test with hints and answers. |
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H-3 |
Worksheet
- Geometric Sequences. What is the next
number? 4, 16, 64, 256,.... |
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H-4 |
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H-5 |
Find
Any Term in An Arithmetic Sequence - Fun Exercise. The
first term is 6, the third term is 10, can you find
the 5th term?? |
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H-6 |
Example Test - Sequences. Example Test from |