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