Visualizing Math Concepts with Sketchpad

Using Dynamic Geometry Software

Dynamic geometry software (DGS) is a powerful tool for improving student learning. Incorporating an engaging visual component, it allows learners to explore, test conjectures, discover patterns, and think creatively.

The Geometer’s Sketchpad® is the world’s leading software for teaching mathematics. Sketchpad® gives students at all levels—from third grade through college—a tangible, visual way to learn mathematics that increases their engagement, understanding, and achievement. Make math more meaningful and memorable using Sketchpad.





  • Build Area
    Explore different types of rectangles and how they estimate area under curves. Then use the sketch to build your own.
  • Build Area 2
    Explore how the Accumulating Area under the curve is related to the function and its antiderivative.

  • AreaLimits
    On each page, drag the slider for n to change the number of rectangles used to estimate the area. You can double-click the function on each page to explore different function area.
  • MaxMin2
    Explore Optimization by dragging dynamic points and seeing the sketch objects change in size. For each page, find the point where the object is optimized.

  • Area
    Construct the dynamic area function using rectangles.
    Then use animation to explore how they area function is related to the original function.