Fifth graders turn corner coordinates into perimeter and area. Students find the width, length, perimeter, and area of a rectangle with corners (1, 1), (1, 5), (7, 5), (7, 1), then do the same for a square anchored at (2, 2) and (7, 7). They also calculate the perimeter of a 9-by-3 rectangle at the origin and the area of a rectangle at (3, 2) to (8, 6). The matching task links shapes like "corners (0, 0), (4, 0), (4, 3), (0, 3)" to their correct areas of 12, 15, 18, and 16 square units.
Students see firsthand how counting units between vertices unlocks both perimeter and area on the coordinate plane.
Style:
Coordinate Plane
Part A: Fill in the Blank
Write the missing word or number on each line.
1. A rectangle has corners at (1, 1), (1, 5), (7, 5), and (7, 1). Its width is 4 units.
2. Using the same rectangle, its length is 6 units.
3. The perimeter of that rectangle is 20 units.
4. The area of that rectangle is 24 square units.
5. A square has corners at (2, 2), (2, 7), (7, 7), and (7, 2). Each side is 5 units long.
6. The perimeter of that square is 20 units.
7. The area of that square is 25 square units.
8. A rectangle with corners at (0, 0), (9, 0), (9, 3), and (0, 3) has a perimeter of 24 units.
9. A rectangle with corners at (3, 2), (3, 6), (8, 6), and (8, 2) has an area of 20 square units.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each rectangle to its correct area.
Corners at (0, 0), (4, 0), (4, 3), (0, 3)
→ 12 square units
18 square units
Corners at (1, 1), (6, 1), (6, 4), (1, 4)
→ 15 square units
16 square units
Corners at (2, 0), (2, 6), (5, 6), (5, 0)
→ 18 square units
12 square units
Corners at (0, 2), (8, 2), (8, 4), (0, 4)
→ 16 square units
15 square units
Coordinate Plane
★ Part A: Fill in the Blank
Write the missing word or number on each line.
1) A rectangle has corners at (1, 1), (1, 5), (7, 5), and (7, 1). Its width is 4 units.
2) Using the same rectangle, its length is 6 units.
3) The perimeter of that rectangle is 20 units.
4) The area of that rectangle is 24 square units.
5) A square has corners at (2, 2), (2, 7), (7, 7), and (7, 2). Each side is 5 units long.
6) The perimeter of that square is 20 units.
7) The area of that square is 25 square units.
8) A rectangle with corners at (0, 0), (9, 0), (9, 3), and (0, 3) has a perimeter of 24 units.
9) A rectangle with corners at (3, 2), (3, 6), (8, 6), and (8, 2) has an area of 20 square units.
★ Part B: Matching
Match each item on the left to the correct answer on the right.
1) Match each rectangle to its correct area.
Corners at (0, 0), (4, 0), (4, 3), (0, 3)
→ 12 square units
18 square units
Corners at (1, 1), (6, 1), (6, 4), (1, 4)
→ 15 square units
16 square units
Corners at (2, 0), (2, 6), (5, 6), (5, 0)
→ 18 square units
12 square units
Corners at (0, 2), (8, 2), (8, 4), (0, 4)
→ 16 square units
15 square units
Ready to Practice?
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10 Questions
10-15 minutes
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