IM 7.5.3 Practice: Changing Elevation
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This GeoGebra example demonstrates how changing the elevation (height) of vertices in a cuboid (rectangular prism) affects the 3D shape, while connecting to quadratic functions and equations. The core mathematical concepts include solid geometry (cuboid, 3D coordinates) and quadratic functions/equations. Construction highlights: based on the summary, multiple point objects (B1, C1, D1, A2-A6, B2-B6, C2-C6, D2) are used to define the vertices of the cuboid; by adjusting the z-coordinates (elevation) of these points, the shape changes, illustrating the concept of changing elevation. This is suitable for middle school practice (e.g., IM 7.5.3 for Grade 7) to help students visualize coordinate changes in 3D solids and relate them to function concepts, and can also serve as an extension for quadratic functions in a geometric context.
GeoGebra Commands & Parameters
-6-10-10-27-500
AI Drawing Prompt Reference
Draw a cuboid and show how changing the z-coordinates of its vertices affects the 3D shape, connecting it to quadratic functions and equations. The cuboid's vertices are defined by multiple points, and adjusting their z-coordinates changes the shape, illustrating the concept of elevation change, suitable for middle school practice.
The prompt above was compiled from the original drawing commands and is for reference only.