Unit 1, Lesson 1

Tiling the Plane

Grade 6

1.1

Warm-up

Which three go together? Why do they go together?

<p>Four patterns of tiles labeled A, B, C, and D. </p>

1.2

Activity

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.

<p>A figure made up of a series of red trapezoids, blue rhombuses, and green triangles arranged into 8 hexagons.</p> — Pattern A

Student Lesson Summary

In this lesson, we learned about tiling the plane, which means “covering a two-dimensional region with copies of the same shape or shapes such that there are no gaps or overlaps.”

Then we compared tiling patterns and the shapes in them. In thinking about which patterns and shapes cover more of the plane, we have started to reason about area.

In future lessons, we will continue with this reasoning, and we will continue learning how to use mathematical tools strategically to help us do mathematics.

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.

Navigation

Gradeband

Course

Unit

Lesson

Settings

Language

Audience

Assessment Access

Lesson | Loading...