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Beyond the Flat World: Discovering 3-D Shapes
EvoClass-MATH001
Lesson 8
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Hoot hoot! Welcome, Shape Scout! I'm your AI Tutor, ready to help you see the world in 3-D!
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Hoot hoot! Welcome, Shape Scout!
We are going to explore why the world isn't flat like a pancake!
We are going to explore why the world isn't flat like a pancake!
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Imagine a world as flat as a piece of paper—you couldn't kick a ball or live in a house! 2-D shapes like squares are flat, but 3-D solids like cubes have "depth," which allows them to take up space and stand tall.
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Sub-Topic 1
Flat vs. Solid
From 2-D drawings to 3-D objects.
Every 3-D structure has a secret skeleton! Faces are the flat surfaces, edges are the lines where faces meet, and vertices are the pointy corners. Knowing these parts helps us build everything from dice to pyramids!
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Sub-Topic 2
Anatomy of a Shape
Faces, Edges, and Vertices.
There are many families of shapes! Prisms are like blocks, Pyramids come to a point, and Spheres are perfectly round. Let's see how they differ!
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Sub-Topic 3
Shape Families
Prisms, Pyramids, and Spheres.
It’s a math miracle! Faces plus Vertices minus Edges always equals two for shapes like cubes and pyramids. Try testing it on your next model!
Did you know?
Euler’s Magic Formula: Faces + Vertices - Edges = 2!
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Mission Complete!
You are a Shape Master!
Mission: Euler's Blueprint
Analyze the Square Pyramid below. Enter the correct number of parts to verify the blueprint!
Faces
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Vertices
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Edges
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