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Lesson on Tiles

Lesson on Tiles Building from previous work exploring patterns and square numbers, this lesson asks students to explore the number of contral (brown) tiles and the number of border (white) tiles needed for increasing larger square patios. A key focus of this lesson is finding and analyzing the two different patterns that emerge.
Reflection Topics & Videos  Tasks
Discourse
Student Learning
Teaching Decisions
The Mathematics
Lesson Plan (PDF) Review the complete lesson plan and accompanying worksheets.
Student Work  View student work from this lesson.
Engaging in the Mathematics 

1. Suppose you surround a single brown tile with 8 white tiles to form a 9 square. How many white tiles are needed to surround a 2 x 2 square of brown tiles? A 3 x 3 square of brown tiles? Continue this pattern and complete a table showing the number of brown tiles, the number white tiles and the total number of tiles at each stage.

2. Explain in words, using mathematical language, how you can determine the number of brown tiles, white tiles and total tiles needed to surround an n x n square of brown tiles.

About the Teacher  Bernadette Green, 5th Grade
Loring Elementary School
Minneapolis, MN
Marilyn Lewis, Principal

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