![]() ![]() When you vary `x,` what do you notice about the traces of the connecting line?.Connect `x` on the top number line to `T(D(x))` on the bottom line, and use the Trace Widget to turn tracing on for the connecting line.As you vary `x`, how is the value of `T(D(x))` related to `D(x)` and `v?` Write both a description and a formula.Translate the new `D(x)` on its number line.Then use the Visibility Widget to hide the dashed lines. Vary `x` to make sure the two `D(x)` variables always match.Transfer both the origin and `D(x)` downward, and construct a new number line matching its origin to the transferred origin.As you vary `x`, how is the value of `D(x)` related to `x` and `s?` Write both a description and a formula.Construct `D(x)` with `x` restricted to a number line.As you work, practice the different ways of placing the given objects of the tools. Use the tools in the sketch below to construct a triangle and its orthocenter. After checking out the tool’s effect, tap the Undo arrow to undo.īecause all tools work this same way, it’s easy for you and your students to figure out how to use them with no need for additional documentation, explanation, or demonstration. ![]() To preview the results of any tool, choose it and then tap the green OK button.Until the tool is finished, you can drag any already-matched given object to reposition or rematch it.drag any given object, whether it’s glowing or not. Tap to position or match the glowing object, or.Everything the tool will produce is immediately visible, with the first object to be matched already glowing.Researchers and other mathematics enthusiasts use Sketchpad to help pose “what if?” thought experiments, to help probe properties of constructions, and to help discover new results - as well as to create high-quality mathematical illustrations for use in activities and assignments, reports and publications, or simply for their intrinsic visual appeal. If you’re a teacher, Sketchpad provides a compelling environment with which to present mathematical concepts, model classroom questions, and encourage student conjecturing, whether in a hands-on computer lab or on a demonstration screen before an entire class. If you’re a student, Sketchpad can help you explore not only the topics from your geometry course, but mathematical ideas in algebra, trigonometry, calculus, and other areas. Using Sketchpad’s Dynamic Geometry ®, you can construct interactive mathematical models ranging from basic investigations about shape and number to advanced, animated illustrations of complex systems. The Geometer’s Sketchpad ® is a software system for creating, exploring, and analyzing a wide range of mathematics. Help | Teaching with Sketchpad has a video of teachers and students describing in depth how to use the program in the classroom, articles describing effective strategies and activities at various age levels and content areas, and a set of sample activities. Help | Using Sketchpad gives you access to interactive tutorials that make it easy for you to begin using the program, a collection of 70 Sketchpad Tips (in comic and video form) containing just the nuggets you need to accomplish many Sketchpad tasks, and an online Resource Center with a wealth of detailed information. Help | Welcome Videos include an overview from teachers and students who use Sketchpad, a big-picture look at the ideas behind the program, and a summary of what's new in Sketchpad 5. Choose Help | Learning Center for an overview of the extensive resources available, or choose one of the following commands for a more detailed view of particular resources. If you're just starting with Sketchpad, the Sketchpad Learning Center is your starting point as you first learn to use Sketchpad. ![]()
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