Unit 1, Lesson 1
Tiling the Plane
Grade 6
1.1
Warm-up
Which Three Go Together: Tilings
Which three go together? Why do they go together?
Four patterns of tiles labeled A, B, C, and D. Pattern A is all blue tiles, pattern B is all yellow tiles, pattern C is a combination of blue and yellow tiles, and pattern D is a combination of blue tiles, yellow tiles, and blank spaces.
1.2
Activity
More Red, Green, or Blue?
Your teacher will assign you to look at Pattern A or Pattern B.
In your pattern, which shape covers more of the plane: blue rhombuses, red trapezoids, or green triangles? Explain how you know.
Pattern A
Pattern B
region
A region is the space inside of a shape.
- Examples of two-dimensional regions are the inside of a circle and the inside of a polygon.
- Examples of three-dimensional regions are the inside of a cube and the inside of a sphere.
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