Unit 7, Lesson 3
Lots of Rectangles
Extra Support Materials for Algebra 1
3.1
Warm-up
Many Ways to Area
A rectangle is partitioned into smaller rectangles. Explain why each of these expressions represents the area of the entire rectangle.
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A rectangle is partitioned into smaller rectangles. Explain why each of these expressions represents the area of the entire rectangle.
Match each figure with one or more expressions for its area. Every shape that looks like a square is a square.
Figures A through F. A, 1 square, side length 3 units. B, 1 square, side length n units. C, 2 squares, side length 3 units. D, 1 square, n plus 1 units. E, 2 squares, 1 with side length n units and other with side length 1 unit. F, 6 squares in a 2 by 3 grid, side length n.
Complete the table with the length, width, and area of each rectangle.
Figures A through E. A, 2 rectangles, height 5 units, width a and 4 units. B, 3 rectangles, height 2 units, lengths t, 5, t units. C, 3 rectangles, height m units, width one half, one half, one half units. D, 2 rectangles, height v units, width v and 3 units. E, 3 rectangles, height 3 units, width a, a, a units.
| rectangle | length (units) | width (units) | area (square units) |
|---|---|---|---|
| A | |||
| B | 2 | ||
| C | |||
| D | |||
| E |
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