Until now three-dimensional geometry was difficult to teach – the complexity of designs in perspective, models that are difficult and time-consuming to construct. Cabri 3D is an application that was designed to help you alleviate these construction difficulties and that also contains the benefits of interactive geometry. Using Cabri 3D v2, you will quickly learn to construct, view and manipulate all sorts of objects in three dimensions: lines, planes, cones, spheres, polyhedra. You can build dynamic constructions, from the simplest to the most complex. You can measure objects, integrate numeric data and even replay the process by which you built your constructions. With Cabri 3D you will discover a remarkable tool to help you study and solve geometry and mathematics problems.
Tools for students: « from exploration to understanding »
With just a few clicks, students can:
Construct 2-D and 3-D figures, from the simplest to the most complex, by combining fundamental geometric objects such as points, angles, segments, circles, planes, solids and transformations.
Create expressions using fundamental algebraic concepts, such as numbers, variables and operations.
Connect geometry and algebra by measuring length, angles, area and volume and then attaching these numeric values directly to the figure to use them in calculations or in algebraic expressions.
Explore a figure's properties by manipulating its variable elements.
Observe the effects of dynamic transformations like shrinking and enlarging.
Make conjectures about algebraic and geometric properties, and then verify relationships among various parts of a figure.
Tools for teachers: « from lesson plans to assessment »
The teacher can:
Create activities that:
- facilitate the introduction and understanding of new concepts
- promote the discovery of theorems, instead of just showing them
- help model real-life situations.
Generate classroom resources by inserting text or pictures in a figure, modifying graphical elements, copying/pasting into other software and producing high-quality printouts.
Present activities to students, have them manipulate figures, observe and guide them. Using Cabri allows you to better assess individual student comprehension.
Expand online by integrating figures that can be manipulated on web pages or by incorporating Microsoft Office® documents.
Have students solve problems directly linked to the NCTM standards with possible interdisciplinary connections to physics, geography and the arts.
Focus on the features of Cabri 3D adapted especially for middle school
In addition to the features common to all Cabri products, Cabri 3D includes:
Numeric and geometric tools
Basic constructions with planes, spheres and lines.
Study of common solids: with a click of the mouse, the student or teacher can construct pyramids, parallelograms, cylinders and cones.
Sections of solids: The user can represent and determine planar sections of convex polygons.
Unfolding polyhedron into nets: Cabri 3D unfolds all polyhedron into nets, which are printable and can be reproduced onto card stock.
Measurements and calculations: Find measurements related to objects - distances, lengths, area, volumes and angles, and use them in calculations.
Unique 3D visualization tools
Through tools that facilitate visualization, students and teachers can:
- Adjust viewing angles turning around the scene
- Appreciate the rendering of depth of the scene.
Animation tools: Particularly stimulating for students, the tools enable them to simultaneously put several elements of a construction in motion. It is ideal for modeling physical phenomena.
Different representations and perspectives of the same figure: the three angles of technical design, various perspectives.
« Refresh the construction » tool replays the user's construction.
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