Space and Shape: Grade 7 Geometry

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Explore 3D shapes, their properties, and GeoGebra demonstrations.

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Palesa Molotsi

Sudáfrica

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Space and Shape: Grade 7 GeometryVersión en línea Explore 3D shapes, their properties, and GeoGebra demonstrations. por Palesa Molotsi 1 Introduction to 3D Shapes Welcome to 3D shapes. See common objects: Cube, Sphere, Cone, Cylinder. Each has depth and volume. 2 Cube: Visualizing a 3D Shape A cube has 6 equal square faces, 12 edges, and 8 vertices. All angles are right angles, giving perfect symmetry. 3 Sphere: Visualizing a 3D Shape A sphere has no faces, edges, or vertices. Every point on its surface is the same distance from the center. 4 Cone: Visualizing a 3D Shape A cone has a circular base, one curved surface, 0 or more edges, and 1 vertex at the tip. 5 Cylinder: Visualizing a 3D Shape A cylinder has two parallel circular faces, one curved surface, and 0 vertices. It has 2 edges where the faces meet. 6 Key Properties: Faces Faces are the flat surfaces of a 3D shape. Cubes have 6 faces; spheres have none; cones and cylinders have 1 and 2 circular faces. 7 Key Properties: Edges Edges are the line where two faces meet. A cube has 12 edges, a cone has 1 circular edge, and a cylinder has 2 circular edges. 8 Key Properties: Vertices Vertices are the corners where edges meet. A cube has 8 vertices; spheres have none; cones have 1 vertex; cylinders have none. 9 GeoGebra Demo: 3D Shapes We demonstrate rotating and resizing 3D shapes in GeoGebra. See labels overlay each shape, with explanations appearing as overlays during motion. 10 Interactive Questions How many faces does this shape have? [Interactive image here] Can you identify the shape? Try naming cube, sphere, cone, or cylinder based on clues.

Space and Shape: Grade 7 GeometryVersión en línea

Explore 3D shapes, their properties, and GeoGebra demonstrations.

por Palesa Molotsi

Introduction to 3D Shapes

Welcome to 3D shapes. See common objects: Cube Cube, Sphere Sphere, Cone Cone, Cylinder. Each has depth and volume.

Cube: Visualizing a 3D Shape

A cube has 6 equal square faces, 12 edges, and 8 vertices. All angles are right angles, giving perfect symmetry.

Sphere: Visualizing a 3D Shape

A sphere has no faces, edges, or vertices. Every point on its surface is the same distance from the center.

Cone: Visualizing a 3D Shape

A cone has a circular base, one curved surface, 0 or more edges, and 1 vertex at the tip.

Cylinder: Visualizing a 3D Shape

A cylinder has two parallel circular faces, one curved surface, and 0 vertices. It has 2 edges where the faces meet.

Key Properties: Faces

Faces are the flat surfaces of a 3D shape. Cubes have 6 faces; spheres have none; cones and cylinders have 1 and 2 circular faces.

Key Properties: Edges

Edges are the line where two faces meet. A cube has 12 edges, a cone has 1 circular edge, and a cylinder has 2 circular edges.

Key Properties: Vertices

Vertices are the corners where edges meet. A cube has 8 vertices; spheres have none; cones have 1 vertex; cylinders have none.

GeoGebra Demo: 3D Shapes

We demonstrate rotating and resizing 3D shapes in GeoGebra. See labels overlay each shape, with explanations appearing as overlays during motion.

Interactive Questions

How many faces does this shape have? [Interactive image here]

Can you identify the shape? Try naming cube, sphere, cone, or cylinder based on clues.

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