Grade: Grade 5 Subject: Mathematics Unit: Coordinate Plane SAT: Algebra ACT: Math

Guided Practice: Coordinate Plane

Practice makes perfect! Work through these guided exercises to strengthen your coordinate plane skills.

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Warm-Up Review

Quick Reminder: The Coordinate Plane

The coordinate plane has two axes that cross at the origin (0, 0):

  • X-axis: The horizontal line (runs left to right)
  • Y-axis: The vertical line (runs up and down)
  • Ordered pair (x, y): First number is horizontal position, second is vertical
Remember: "Run before you Jump" - Move along the x-axis first (run left/right), then along the y-axis (jump up/down)!

Worked Examples

Example 1: Plotting (3, 4)

1 Start at the origin (0, 0)
2 Look at the first number: 3. Move 3 units to the RIGHT along the x-axis.
3 Look at the second number: 4. From where you are, move 4 units UP.
4 Mark the point! You are at (3, 4).
(3, 4)

Example 2: Reading Point B from the Grid

What are the coordinates of point B shown below?

B
1 Look straight down from point B to the x-axis. It lines up with 4.
2 Look straight left from point B to the y-axis. It lines up with 3.
3 Write the ordered pair: x first, then y. Answer: (4, 3)

Interactive Practice: Plot Your Points

Practice Plotting

Enter coordinates and click "Plot" to see if you can place the point correctly!

Practice Problems

Part 1: Identify the Coordinates

Problem 1

A point is located 2 units right and 5 units up from the origin. What is its ordered pair?

Problem 2

What are the coordinates of the origin?

Problem 3

The point (4, 0) is located on which axis?

Part 2: Plot and Compare

Problem 4

To plot the point (1, 4), what do you do first?

Problem 5

Are points (3, 2) and (2, 3) the same location?

Problem 6

Which point is farther from the origin: (1, 5) or (5, 1)?

Part 3: Apply Your Skills

Problem 7

If you start at (2, 3) and move 2 units right, what point do you reach?

Problem 8

If you start at (3, 1) and move 3 units up, what point do you reach?

Problem 9

A rectangle has corners at (1, 1), (4, 1), (4, 3), and (1, 3). How wide is the rectangle?

Problem 10

Which coordinate tells you the vertical position of a point?

What You Practiced

📍

Plotting Points

Using (x, y) to locate exact positions on the grid.

📖

Reading Coordinates

Identifying ordered pairs from points on a grid.

🔄

Moving on the Grid

Calculating new positions after horizontal or vertical moves.

📐

Shape Dimensions

Finding widths and heights using coordinate differences.

Great work! Regular practice with plotting and reading coordinates builds the foundation for graphing equations, analyzing data, and solving geometry problems in higher grades.

Next Steps

  • Try the Word Problems lesson to apply coordinates to real-world situations
  • Review Common Mistakes to avoid typical errors
  • When ready, take the Unit Quiz to test your mastery