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 #Geometers sketchpad online software Way to learn mathematics that increases their engagement, understanding, and achievement. Make math more meaningful and memorable using Sketchpad. Use sketchpad to construct the derivative of an exponential function graphically. Then use your sketch to discover the relationship between the function and its derivativeĪnd then write a formula for the derivative.Ĭonstruct the dynamic area function using rectangles. On each page, drag the slider for n to change the number of rectangles used to estimate Then use animation to explore how they area function is related to the original function. Use the tools, Average Rate, Slope, or Plot Slope tools, just click on either the You can double-click the function on each page to explore different functionĮxplore the relationship between average rates and slopes on various functions. Given two points or make your own points. ( Note: on page 1, when you change the function, you will need to remerge points A andĮxplore different types of rectangles and how they estimate area under curves. ThenĮxplore how the Accumulating Area under the curve is related to the function and itsĮxplore whether a function is continuous or not by dragging and tracing points. The left-hand and right hand limits to verify this. Use this sketch to construct and exponential function and explore it’s properties.Įxperiment with changing a and b to explore the shape and properties of an exponential Use this sketch to examine how an integral is related to the area under a curve.ĭrag the pentagon on each dynagraph to explore the domain and range of different functions.
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