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Circular |
Transformations |
Trig |
Exponents |
Perms |
Conics |
Geometric |
Probability |
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Introduction
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Intro1 |
Course Outline. Here is the course outline , policies, assessment
plan, etc. |
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Intro1A |
Course
Reference Notes. Here is the entire course in two pages. Sleep with this!
If you understand 80% of this you will get 80%!! |
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Intro2 |
Manitoba
Curriculum - Mathematics 40S Pre-Calculus . See what you are
supposed to learn by outcome from the Manitoba Curriculum. |
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Intro3 |
Distance
Learning - Mathematics 40S PreCalculus . See the on-line version of
the course for distance learning. A very handy reference. Enter
Log*in: demo Pass*word: demo. ***This is really an essential site!!!*** |
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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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Intro5 |
Helpful Tools An
on-line Graphing Calculator. Graph anything you want!! Another
On-Line Graphing Calculator. Function
Grapher. Plot equations or data points! Your choice.
Great interactive graphing tool |
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Intro7 |
Texas
Distance Learning. This site has almost everything you could want for
Manitoba Grade 12 PreCalculus. It is at the |
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Intro7 |
Example End
of Year Exam for Grade 12. We will 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 like 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 which is slightly different from the |
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Intro8 |
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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Intro 9 |
Glencoe
Examples. A great site with lots of examples of Grade 12
PreCalculus material. Not all of this is the same as our Grade 12
Curriculum in |
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Intro10 |
Glencoe
Quizzes. A great on-line quiz source from a Textbook company.
Covers most of our Grade 12 PreCalc! |
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Intro11 |
Graph
Paper. Need some real paper graph paper to have some fun?
Here it is, lots of different kinds. |
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Intro12 |
McGraw Hill Worksheets and Examples. Click these for short simple
examples and practice problems for math from Grade 9 to Grade 12. Handy
references if you are just having challenges with a couple ideas. Grade
8 Math; Basic
Math (Grade 9); Algebra
(Grade 9 and 10 Math); Grade
10 to 12 Math; |
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Intro13 |
Manitoba Pre-Calc
Math. A brilliant site by a teacher in BC. Covers every unit
in detail. All you may really need actually. Good Notes and some
practice exams with answers! Also available at MATH40s.com |
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Intro |
Exam
Review. Check out this exam review 'Study Pack'. My actual exam questions
will only be a fraction of the difficulty of these. |
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Intro14 |
Play SuDoKu OnLine. Play
this addictive game on line. |
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Intro15 |
Review. In addition to Grade 9
(Senior1), Grade
10 (Senior2), and 11
(Senior3) Mathematics You will want to be familiar with and review these: MathTutorbiz - Basic
Algebra. MathTutorbiz
- Algebra Review (from Grade 9) . MathTutorbiz - Surds (from
Grade 10) MathTutorbiz -
Quadratic Formula (from Grade11). MathTutorbiz - Pythagoras. |
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RESOURCES
BY UNIT
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Unit A: Circular Functions
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A-1 |
Radians
and Pi Radians. Great animation! What is a radian??? |
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A-2 |
Radians.
A great animated demo of a Radian! |
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A-3 |
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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A-4 |
The Sin
Function. Check out this animated function machine. Put in
any angle, see what comes out! |
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A-5 |
Dr Altman Video -
Sine Function. A quick review of the sine function on You Tube |
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A-6 |
The
Cosine Function. Check out this great |
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A-7 |
Sine and Cosine On a
Unit Circle. Touch and drag the red dot to see what sine and cosine mean! |
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A-8 |
Sine and Cosine Do the
Wave. Great animations of sine and cosine. Hit the START
button! |
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A-9 |
Basic
Trigonometry Concepts Notes. Good Notes for the basic Trig
functions. Includes secant, cosecant, cotangent! |
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A-10 |
Example
Problems - Circular Functions. From |
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A-11 |
Reciprocal
Trigonometric Function. Great notes and exercises to explain the
cosecant (csc), cotangent (cot), and secant (sec). Real easy! |
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A-12 |
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A-12A |
A
Unit Circle. Here is a unit circle - pie chart for you. It has all the
special angles and exact trig values. |
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A-13 |
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A-14 |
More Animations and videos. Try these for even more trigonometry support. MathTutorbiz -
Radians MathTutorbiz-CoTerminal
Angles. (notice they call these Equivalent angles, and that English say
:"naught" for zero. |
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Unit
B: Transformations
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B1 |
Transformations
- Scaled and Translated Transformations. Great graphics, some built
in interactive questions too. |
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B1A |
MrF's
SlideShow - Translations and Reflections. Check out this simple slideshow
for translations and reflections |
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B2 |
Function
Transformation Notes. Check out the 4 or 5 pages here. Don't
forget to hit next at the bottom. |
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B3 |
Functions
and Graphs Notes. Great PDF notes on shifting (translating) and
stretching functions! From |
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B4 |
Transformations
Notes. Some Great Notes and example problems. From |
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B5 |
Quick
Quiz. Test Your Skills. Test your skills for basic transformations. |
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B6 |
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B7 |
Odd and Even
Functions. More great notes, three pages. Hit next at the
bottom. |
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B8 |
Transformation
in the x-Values - Video. Check out this great video, if you have a
headset even better! |
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B9 |
Inverse Functions
- Notes . Great webpage on Inverse of a Function. Just interchange
change x and y; too easy! |
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B10 |
More Animations and videos. Try these for even more Transformation
support. MathTutorbiz -
Transform Graphs. MathTutorbiz
- Transform Graph2. |
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Unit C: Trigonometric Identities
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C0 |
Complex
Fractions. Sometimes you can get some a pretty intense work out with
fractions in this unit. Best start by checking out this simple practice
worksheet. |
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C0A |
Class
Notes Frame. Partly blank notes for Trig Idents. Or if you are really
behind, you can get the |
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C1 |
Glossary of Trig Words.
Perfect! Lots of Links, easy to read. |
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C2 |
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C3 |
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C4 |
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C5 |
Practice
Trig ID Test - Glencoe. A Great Practice Test with Hints and
Corrections! |
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C6 |
Trig Identities
Formula Sheet. Every formula you need in Grade 12 Trig Identities! |
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C7 |
Radio
Waves! See how radio works! An advanced application of Trig,
but you will get the idea for sure. See the difference between FM and
AM Radio! |
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C8 |
Maths 911 - Video -
Trig Idents. Pretty advanced, but great video! |
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Unit D: Exponents and Logarithms
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D0A |
Review
- Fractional Exponents. What the heck does 41/2 mean? |
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D0B |
Practice
Fractional Powers. A ton of practice questions for fractional powers. |
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D1 |
Graphing
Exponentials. A quick worksheet with answers. |
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D2 |
Exponential
and Log Notes. A great set of notes from Texas A&M! |
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D3 |
Log
Function Notes. Great Notes from |
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D4 |
Log
Function Notes. More great notes. |
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D4A |
Logarithm
Assignment. This is probably the most important assignment of all. |
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D5 |
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D6 |
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D7 |
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D8 |
Exponents
and Logs - Video. Great video on the laws of exponents and logs
. If you have a headset, even better! |
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D8A |
Log
Worksheet - Practice Problems. Almost a hundred quick problems, with
answers! |
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D8B |
Logarithm
Definition and Properties. A simple two page explanation of logarithms. |
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D9 |
Exponential and
Logarithm Word Problems. Learn about sound dBs, and Earthquakes, and
stuff. |
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D10 |
Practice
Test On-Line - Exponents&Logs - Glencoe. Great practice test
with hints and corrections |
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D11 |
Practice
Test On-Line - Logs - SOSMath. Great set of questions with answers
and full solutions step-by-step, |
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D11A |
Practice Exam. A great Practice
Exam for Logs. And here are the Solutions
to the practice exam. |
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D12 |
Worksheets from McGraw Hill. Great worksheets for more practice,
click below. Log
Product Rule; Log
Quotient Rule; Power
Rule for Logs; Change
of Base for Logs ; |
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D13 |
Exponents
and Logs Notes - Yet another set of good notes |
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D14 |
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D15 |
Supporting Animations and Videos. Notice that in the YouTube
videos, that the British say 'indices' instead of exponents. MathTutorbiz -
Solve Exponent Base MathTutorbiz-
Solving Exponential Equations |
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D-16 |
Log Tables. Sometimes it helps to look at tables of values! We have long
lost this important method after the invention of the calculator. But check
out the tables of Logs, you will see a pattern. Seeing a pattern is
Mathematics! Short
table of Common Logs. And how to multiply using logs |
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Unit E: Permutations and
Combinations
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E1 |
Permutations
and Combinations - Math Forum. A good introduction to Permutations
and Combinations |
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E2 |
Factorials.
A substantial and in-depth explanation of factorials. Good practice for
you! |
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E3 |
Permutations
and Combinations - Examples. Some great examples of Permutations
and Combinations. |
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E4 |
Permutations.
A good explanation of permutations. Remember! The order does matter in permutations. |
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E5 |
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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E5A |
Tables
of Permutations and Combinations. In the 'old' days we never had
calculators (circa 1975 ish) so we did everything with pre-calculated tables
in massive books! This is a table of the values for some Permutations and
Combinations. The nice thing about tables though is that you can see patterns
sometimes. |
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E6 |
Perms
and Combs - On-line Test. Try this short on-line test, Perms and
Combs. Has hints and answers! |
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E7 |
Extra Worksheets: Fundamental
Counting Principle. Permutations
and Combinations. |
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E8 |
Permutations
and Combinations - Example Questions. Example Questions from
Saskatchewan |
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E9 |
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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E10 |
Pascal's
Triangle. Explore it with this game. |
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E11 |
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E12 |
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E13 |
ExamSolution - Video
- Binomial Expansion. A great you tube video! |
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E14 |
Dictionary of
Probability Words. This is great! Some advanced. |
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E-15 |
Practice Exam. A great Practice
Exam from Math40s.com. And the solutions to the Perms
and Combs Practice Exam. |
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E-16 |
20
Pages of Solved Permutations and Combinations Problems. Enjoy |
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Unit
F: Conics
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F0 |
Class
Notes. Class Notes for Conics Unit |
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F1 |
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F2 |
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F3 |
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F4 |
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F5 |
Conics Plotter.
Try this great Conics plotter, specially designed for Ellipses and Circles,
and Hyperbolas!. |
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F6 |
Practice
Test- Conics - Glencoe. A great practice Test from Glencoe text
book company. |
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F7 |
Practice Test from Math40S.com. Practice
Test for Conics. Solutions to Conics
Practice Test. |
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Unit G: Geometric Sequences
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G0 |
Class
Notes. The class notes for the unit (all completed.) |
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G1 |
Fun
Exercise -Sequences. Can you guess whether it is Arithmetic or
Geometric? Can you find the formula for the sequence? |
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G2 |
On-line
Test - Arithmetic Series. Short test with hints and answers. |
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G3 |
Worksheet
- Geometric Sequences. What is the next
number? 4, 16, 64, 256,.... |
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G4 |
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G5 |
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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G6 |
Example
Test - Sequences. Example Test from Manitoba Association of
Mathematics Teachers (MAMT) |
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G7 |
Practice
Exam for Sequences from Math40s.com. And the solutions
to the Practice Exam for Sequences. |
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Unit
H: Probability
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H-1 |
Introduction
to Probability. A great site, has some animations http://www.mathgoodies.com/lessons/vol6/intro_probability.html |
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H-2 |
Outcome,
event, and sample space. A good link that explains what is an
outcome, an event, and a sample space. |
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H-3 |
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H-4 |
The
Complement of an Event. The complement is just the NOT of
something! |
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H-5 |
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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H-6 |
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H-7 |
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H-8 |
Compound
Events - On-line Test. Try this short test! |
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H-9 |
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H-10 |
Practice
Worksheet - Probability. The Answers
to the Practice Worksheet |
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H-11 |
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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H-12 |
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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H-13 |
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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H-14 |
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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H-15 |
Example
Test - Probability. Example Test from |
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H-16 |
Extra Worksheets: Simple
Probability - What it Means Compound
Events - Dependent and Independent Probability
Review. A fun little worksheet. |
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H-17 |
Grade
9 Probability Math Links. Don't forget to check these out from
Grade 9!. |
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H-17A |
Practice Exams from Math40S.com. A
good practice exam for Probability. |
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H-18 |
Good
Sample Questions. Some great sample questions from |
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H-19 |
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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H-20 |
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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H-21 |
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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H-22 |
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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H-23 |
Probability
Test - On-line Try this short on-line probability test! Has
hints! Check the answers! |
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H-24 |
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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H-25 |
Dictionary of
Probability Words. This is great! Some advanced. |
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