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