Fifth graders chain several coordinate moves into one answer. Students trace a path from (0, 0) to (4, 0) to (4, 3) and back to find total distance, locate the missing fourth corner of a square given (2, 1), (6, 1), and (6, 5), and follow point M from (1, 4) through three direction changes. Fill-ins push further: the height and base of a triangle with vertices (1, 1), (1, 6), (7, 1), the gap between (4, 2) and (4, 10), and the height of a rectangle whose area is 30 and base runs x = 1 to x = 6.
Students learn to combine plotting, distance, and area reasoning instead of treating each as a separate skill.
Style:
Coordinate Plane
Part A: Multiple Choice
Circle the best answer for each question.
1. A path goes from (0, 0) to (4, 0) to (4, 3) to (0, 3) and back to (0, 0). What is the total distance?
A) 12 units
B) 14 units
C) 10 units
D) 16 units
2. Three corners of a square are at (2, 1), (6, 1), and (6, 5). Where is the fourth corner?
A) (2, 5)
B) (1, 5)
C) (5, 2)
D) (2, 6)
3. Point M is at (1, 4). It moves 5 units right, then 2 units down, then 3 units left. Where is it now?
A) (4, 2)
B) (3, 2)
C) (3, 6)
D) (2, 3)
4. Which pair of points has a distance of exactly 9 units?
A) (0, 1) and (9, 1)
B) (2, 3) and (2, 10)
C) (1, 0) and (1, 8)
D) (3, 5) and (3, 12)
Part B: Fill in the Blank
Write the correct answer on each line.
1. A triangle has vertices at (1, 1), (1, 6), and (7, 1). The height is 5 units.
2. Using the same triangle, the base is 6 units.
3. A point at (2, 5) moves 4 right and 3 down. Its new coordinates are (6, 2).
4. Two points share the same x-coordinate of 4. One is at (4, 2) and the other at (4, 10). They are 8 units apart.
5. A rectangle has an area of 30 square units. One pair of sides runs from x = 1 to x = 6. The height is 6 units.
Coordinate Plane
★ Part A: Multiple Choice
Circle the best answer for each question.
1. A path goes from (0, 0) to (4, 0) to (4, 3) to (0, 3) and back to (0, 0). What is the total distance?
A) 12 units
B) 14 units
C) 10 units
D) 16 units
2. Three corners of a square are at (2, 1), (6, 1), and (6, 5). Where is the fourth corner?
A) (2, 5)
B) (1, 5)
C) (5, 2)
D) (2, 6)
3. Point M is at (1, 4). It moves 5 units right, then 2 units down, then 3 units left. Where is it now?
A) (4, 2)
B) (3, 2)
C) (3, 6)
D) (2, 3)
4. Which pair of points has a distance of exactly 9 units?
A) (0, 1) and (9, 1)
B) (2, 3) and (2, 10)
C) (1, 0) and (1, 8)
D) (3, 5) and (3, 12)
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) A triangle has vertices at (1, 1), (1, 6), and (7, 1). The height is 5 units.
2) Using the same triangle, the base is 6 units.
3) A point at (2, 5) moves 4 right and 3 down. Its new coordinates are (6, 2).
4) Two points share the same x-coordinate of 4. One is at (4, 2) and the other at (4, 10). They are 8 units apart.
5) A rectangle has an area of 30 square units. One pair of sides runs from x = 1 to x = 6. The height is 6 units.
Ready to Practice?
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9 Questions
12-18 minutes
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