1-1: Basic Geometric Figures

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1-1: Basic Geometric Figures
Objectives:
1. To identify, describe,
and name points,
lines, line segments,
rays, and planes
using correct
notation
2. To identify and name
angles
Assignment:
• P. 6: 16-20
• P. 11: 1-10
• Challenge Problems
Plan
1. Unit Overview
2. Unpack Embedded
Assessment 1
3. Work cooperatively
through Lesson 1-1
You will be able to
identify, describe, and
name points, lines, line
segments, rays,
and planes using
correct notation
Objective 1
To identify and name
angles
Objective 2
Collinear and Coplanar
Collinear points are
points that lie on the
same line.
Point 𝐴 is between
points 𝑅 and 𝑁.
Coplanar points are
points that lie on the
same plane.
Exercise 1
Which numbered angle is the same as
∠𝐴𝐵𝐶? Explain.
Exercise 2
Explain why you
can’t call ∠𝐹𝐷𝐺
simply ∠𝐷.
Hierarchy of Building Blocks
3-D
2-D
1-D
Space is the
set of all points
0-D
Exercise 1
What does a sphere look like from the
perspective of a piece of paper? What if the
sphere pass through a piece of paper?
A Romance of Many Dimensions
Are there more than three spatial dimensions?
?
Point
Segment
Square
Cube
0-D
1-D (Length)
2-D (Area)
3-D (Volume)
1 point
2 points
4 points
8 points
0 “sides”
2 “sides”
4 “sides”
6 “sides”
A Romance of Many Dimensions
Are there more than three spatial dimensions?
Point
Segment
Square
Cube
0-D
1-D (Length)
2-D (Area)
3-D (Volume)
1 point
2 points
4 points
8 points
0 “sides”
2 “sides”
4 “sides”
6 “sides”
Hypercube
A Romance of Many Dimensions
Are there more than three spatial dimensions?
Point
Segment
Square
Cube
Hypercube
0-D
1-D (Length)
2-D (Area)
3-D (Volume)
4-D (Hypervolume)
1 point
2 points
4 points
8 points
0 “sides”
2 “sides”
4 “sides”
6 “sides”
A Romance of Many Dimensions
Are there more than three spatial dimensions?
Point
Segment
Square
Cube
Hypercube
0-D
1-D (Length)
2-D (Area)
3-D (Volume)
4-D (Hypervolume)
1 point
2 points
4 points
8 points
16 points
0 “sides”
2 “sides”
4 “sides”
6 “sides”
A Romance of Many Dimensions
Are there more than three spatial dimensions?
Point
Segment
Square
Cube
Hypercube
0-D
1-D (Length)
2-D (Area)
3-D (Volume)
4-D (Hypervolume)
1 point
2 points
4 points
8 points
16 points
0 “sides”
2 “sides”
4 “sides”
6 “sides”
8 “sides”
1-1: Basic Geometric Figures
Objectives:
1. To identify, describe,
and name points,
lines, line segments,
rays, and planes
using correct
notation
2. To identify and name
angles
Assignment:
• P. 6: 16-20
• P. 11: 1-10
• Challenge Problems
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