When does a newborn baby reach its minimum weight?
Find the minimum graphically and analytically.
Integration and Differentiation
How long does it take a car to skid to a stop and how far does it skid?
Find the solution graphically and analytically.
Learn the relationship between graphs and integration.
An introduction to serial music. Learn how modular math and matrices play an essential
role in the composition of serial music.
Area and Integration
Estimate the area under a function by using geometric shapes
to fill up the area between the curve and the x-axis.
Learn the relationship between area under a curve and integration.
The challenge of dividing assets fairly, from cakes to more important properties, is of great practical importance. Learn about fair division through
three interactive lessons:
how to allocate a piece of land among two or three people;
how to allocate the property in a divorce; and,
how to allocate the assets of an inheritance.
How do we decide who wins an election? You may
think you know the answer - but it turns out that the situation is not
so simple. Many different ways to run an election have been suggested and
the winner may depend as much on the method used as on the opinions of
the voters. The subject of voting is a rich one with a number of surprises.
Learn how to use Venn Diagrams to arrive at a conclusion based on some given premises.
Lean how to interpret graphs by solving a supply and demand problem.
Solve a system of equations derived graphically.
Learn the relationship between systems of equations and graphs.
Equations of Lines
Interactive tutorial for learning how to write equations of lines
given certain information on points and/or slopes.
Smash a crash test dummy into a wall.
Aquire a feeling for acceleration and speed.
Learn the relationship between acceleration and equations of acceleration.
Interactively translate and rotate lines.
Develop a graphical sense for equations of lines.
Learn the meaning of the intersection of lines.
Interactively find the points of intersection between a parabola and a line.
Learn about the relationship between parabolas and quadratic equations.
Interactively find tangent lines to parabolas.
Learn about secant and tangent lines.
Interactive, animated lessons covering "The Nearest Neighbor Algorithm" and "The Limit (a graphical approach)." These are Asymetrix books that run on a Windows PC.
Interactively graph curves. Learn the shapes of graphs. Learn about domain and range.