DEMO VIDEOS OF SELECTED ANIMATIONS
Only a FEW animations from each collection are demonstrated here - MANY MANY more are on the CDs.

Algebra In MotionTM - 168 animations
Calculus In MotionTM - 143 animations

Simply click on the pictures that follow and be sure your volume is up. 

  • Until the download is complete, the video may stop prematurely so wait and re-run.

  • Each demo has been restricted to 1-2 minutes.  To reveal as much information as possible, features are displayed very rapidly - MUCH faster than "classroom pace".

  • These demos provide just a glimpse of the power and capabilities of these animations.

  • The screen capture software that was used to make the videos noticeably affects the running of the animations.  They run considerably smoother on their own.

  • In the actual files, a Motion Controller can be accessed to control the speed of any animation as desired.

Please select which sample demo videos you would like to see:  Algebra In MotionTM
                                                                                                                Calculus In MotionTM
   
  



















  

  
 

 

A Few Sample Animations from the Calculus In MotionTM collection
 
 

 

"Graph f tan der int.gsp"

"Riemann.gsp"
 

Interact with graphs including sliding tangents, 1st and 2nd derivatives, and the integral as an accumulation of heights.  Pages cover polynomials, trig, exp, ln, parametric, polar, and any curve of your own choosing. Morph the original curve to see the effects on the other components.

 Choose 1 to 80 subdivisions of interval [A,B] and approximate the integral using rectangles for left sums, right sums, or midpoints; or use trapezoids for the Trapezoidal Rule.  Change the domain, morph the function, or use the examples on the other pages of the file.

 

   
  "Related Rates.gsp" - the classics "Related Rates - MORE.gsp" "Volumes On Base.gsp"

As a cone fills with water, analyze the change in the rate of increase of the water's depth for various instants and various cones.  Four other classic animations are in this file as well.

This new file, released March 2007, has 9 more related rates animations exploring escalators (seen in the video), a clock, a pool, vehicles approaching an intersection, baseball, a balloon, a kite, etc.

 This classic problem is one of several that walk through the visualization of these difficult shapes one step at a time.  Afterwards, students are able to transfer what they have learned to new bases and new cross-sections.

 
 
  "Slope Fields.gsp" "Volumes by Revolution.gsp"

First, develop the meaning of a slope field by gliding a dynamic "slope column" across the graph of f '.  See one tangent segment "pilot" the field & create the graph of f.  Desired differential equations can be entered & many more features can be explored (e.g. Euler's Method).

 Build this concept in 3 stages.  First, spin a single isolated rectangle.  Second, revolve a discrete number of rectangles determined by the curve which would approximate the solid's volume.  Third, revolve the entire region (infinitely many, infinitely thin rectangles).  Use any function, any horizontal axis of revolution, any partitioning, any interval.  Then sweep a cross-section through the solid which would give the exact volume via integration.  This video demo shows the disk/washer technique, but the same file also has pages presenting an identical development of the shell method.
   

3 Sample Free Response Animations
A total of 79 Free Response animations (2008 - 1997 AB & BC) are contained in the set.
 
  2007 AB5/BC5 2005 AB2 2005 AB4

 

 

A Few Sample Animations from the Algebra In MotionTM collection

 
"Fractions.gsp" "Equation Balance.gsp" "Coordinate Plane Basics.gsp"

Explore the meaning of the denominator and numerator individually with interactive fractions.  In addition, brief glimpses are seen of other pages tabs addressing other aspects of fractions such as comparing, adding, LCD, improper, etc..
 

Connect equation solving with the concept of balance.  Interact with the scales to discover the value of x in each blue box.  Use preset examples or create your own.  Also, reverse the process, if desired.

 

Demonstrate the basic coordinate plane vocabulary and explore the connections between an ordered pair and its point's location as points are dragged around the plane.



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"Linear Equations, Mdpt, Dist.gsp" "Function Vertical Line Test.gsp" "Multiply Polynomials.gsp"

Create a visual rise/run on any line and interact with it learn the critical concept of slope.  Mention is also made of other pages of this file that address other topics of linear equations.
 

Sweep a vertical line across changeable relations to explore the definition of a function.  Other buttons demonstrate the meaning of domain and range.

 

Provide a concrete model for the factored form of the difference of two squares.



 

"Conics.gsp"

"Trigonometry.gsp"

 "Graph Classic Functions.gsp"

Create the conic sections from their definitions.  Explore their graphs, equations, eccentricity, and how it is that they can all come from the same general equation.
 

Here's a brief look at 4 of the many trigonometry animations - basic rotation; definitions of the sine, cosine, and tangent ratios; special angles on the unit circle with reference triangles, and unwrapping the unit circle into the sine and cosine graphs. 

 

Interact with the graphs of various functions (polynomial, trigonometric, exponential and logarithmic) as well as parametric and polar graphs (plus anything you wish to invent).  Each can be morphed by dragging coefficient values.
 

"Graph Transformation Discovery.gsp" "Vertical Team (open box).gsp"

Discover how f(x) compares to f(x)+a, af(x), f(x-a), and f(ax) by interacting with "a" and choosing any 4 functions you desire. 
 

Explore the characteristics of an open box folded from a rectangular piece of material with squares removed from its corners.  Suitable for many different math courses.