Calculators:
- Using a TI83+ Calculator ... find out how to do the things you'll need to do in Math 10.
- Graphing on the TI83+ ... an introduction.
- TI83 Program Library ... A selection of useful programs for your TI83+ calculator.
- Geometry/Trig Calculator ... free program download: does area and volume formula problems, finding the distance and midpoint, slope, simple trig, circle relationships, and sine and cosine law problems.
Biographies:
- Archimedes ... The most famous mathematician of all time.
- Hipparchus ... he invented trigonometry and discovered the precession of the Earth, 150 years before the birth of Christ!
- Leonhard Euler ... perhaps the greatest mathematician of this millennium; certainly the most prolific. Find out about his contributions to mathematics.
- Rene Descartes ... a short biography of his contributions to science and mathematics.
- Srinivasa Ramanujan ... he may have been the greatest mathematician ever ... but no-one has heard of him!
Geometry and Coordinate Geometry:
- Area of a Ring ... by using the length of a chord.
- Distance From a Point to a Line ... Math 20 students can see five ways to calculate the distance from a point to a line.
- Circle Sectors ... finding arc length and area (Math 20)
- Polar Coordinates ... converting rectangular coordinates to polar, and vice versa.
- The String Around the Earth ... a classic problem explained, with pictures and proofs.
- The 3D Pythagorean Theorem ... find out how the distance formula works in three dimensions!
- Throwing a Discus ... using math to discover how to throw it farther!
- The 5 Regular Polyhedra ... find out about them, and play with 3-D models!
- Volume of a Frustum ... finding the volume of the bottom of a cone; commonly used to find the volume of a grain pile.
Algebra:
- The Circle - Slope Relationship ...examine the connection between the equation of a line and circumferences of circles.
- Equations Quizzes on solving a variety of high school math equations, from Math 9 through Math 30. [IE4+ requ'd]
- Factoring ... online help, including an interactive 'Flow Chart', to help you with your factoring homework ... and a quiz.
- Binomial Expansions ... using Pascal's Triangle and 'choose' notation. For Math 30 students who need a refresher.
Sequences and Series:
- Sequences and Series ... lessons. formulas, and two quizzes to try.
Trigonometry:
- Trigonometry ... a complete review of the basics. Includes a quiz too!
- The CAST Diagram ... a trigonometric tool explained, with a quiz!
- Trigonometric Graph Transformations ... Play with the parameters in the equation y = a sin b(x - c) and see what happens to the graph. Includes a self-checking exercise, and a quiz.
- The Sin Graph ... visualize the formation of a sin graph using this interactive demonstration.
Exponents, Radicals, and Logarithms:
- Simplifying Square Roots ... lots of examples!
- What is a 'Logarithm'? ... now you know the rest of the story! Includes a quiz.
Statistics and Probability:
- Scatterplots and Lines of Best Fit ... learn how they work, including finding the equation of the line.
- The Fundamental Counting Principle ... how does it work? Examples, and a quiz.
- Normal Distributions ... an explanation, a demonstration, and even a quiz! (Math30P)
- Winning the Lotto 649 ... what are your chances??
- Shuffling a Deck of Cards ... how many different arrangements are possible?
Calculus:
- Finding the Slope of a Curve ... using the method of secants. An introduction to derivative calculus for Math31 and Physics 20 students.
- Finding and Using the First Derivative of a Function ... a little introduction to differentiation of polynomial functions, with a short quiz.
- Differentiation Rules ... with examples.
Functions, Relations, and Graphs:
- Graphing on the TI83+ ... an introduction.
- Functions ... definition, examples, function notation & quiz, and the vertical line test.
- Composite Functions ... examples, and a quiz.
- Discontinuous Functions ... examples of continuous and discontinuous functions.
- A Graphing Calculator for your computer, free to download. Check it out here.
- Equation Grapher ... explore and experiment with simple functions of the form y = m xn + b
- Absolute Value and Functions ... what happens to the graph of a function when the equation includes absolute value bars. A quiz too!
- The Circle ... the equations for a circle, and a quiz.
- The Ellipse ... all the facts and formulas relating to an ellipse.
- Conics in Clay ... using plasticine to visualize the four primary conic sections.
Miscellaneous:
- Common Mathematical Symbols
- Vernier Caliper ... practice your skills at reading the scale on a vernier caliper.
- Throwing a Javelin ... adding vectors will show you how to do it better.
- Sets of Numbers ... we explain all the sets you need to know about, from Whole numbers, through the Complex set of numbers, with examples.
- Infinity ... the strange properties of this unwriteable 'number'.
- Calculating the Value of Pi Using Toothpicks ... a formula, with its derivation (Math 31), and an experiment for your class to try. Send in your results! Newly added: run the experiment yourself online!!
- Adding Vectors ... vector addition for Math31/Physics20 students ... a tutorial.
- Unit Converter .. a powerful units conversion program for you to download. Visit the page and find out more.
- Graph Paper Maker ... download a free program that makes all types of graph paper that you can print from your computer!
- Understanding Disease Deaths Using Statistics ... a short demonstration of how statistical information can suggest reasons for why where you live may determine whether you die of emphysema!
- Air Safety ... just how safe is it to travel by air?
[Math K-9]
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