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Grade 5 · lesson 1 of 4

Plot Ordered Pairs from the Origin

Start at the origin, move the supplied x units right, then y units up.

About 20 minutes, plus any extended practice

Download the grade pack

Supplied materials

  • Paper and a pencil; drawing and spoken explanations are welcome. An adult may read directions and options aloud.
  • Supplied worked-case record: Plot (4,7): move four units right and seven up.
  • All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.

Learn the idea

A coordinate plane combines perpendicular number lines. Their intersection is the origin, (0,0). In an ordered pair (x,y), x gives horizontal position and y gives vertical position. For this first-quadrant lesson, both are nonnegative. Reversing the order usually gives a different point.

Start at the origin, move the supplied x units right, then y units up. Mark and label the point. Read its coordinates back in the same order to check that the plotted position matches the requested pair.

Use x first and y second. Coordinate order cannot generally be swapped. Draw labeled perpendicular x and y axes with a marked origin.

  1. Draw labeled perpendicular x and y axes with a marked origin.
  2. Follow the worked example. Point to each number or shape feature and say what it tells you.
  3. Start at the origin, move the supplied x units right, then y units up.
  4. Try the question and then the three practice questions. Check your answers and explain any change you make.
Worked example

See the method in action

Plot (4,7): move four units right and seven up. The point (7,4) would be seven right and four up, so it is a different location. Both axes need equal intervals within their own labeled scale, and the ordered pair preserves their roles. Use x first and y second. Coordinate order cannot generally be swapped. Draw labeled perpendicular x and y axes with a marked origin.

Your turn

Check your reasoning

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Helpful tips
  • Use x first and y second.
  • Coordinate order cannot generally be swapped.
A point is 2 units right and 4 units up from the origin. Which pair names it?

Feedback appears here after you check. This is practice, not a graded school assessment.

See the answer and explanation

(2,4)

Write horizontal x first and vertical y second.

Take it further

Plot (3,8) and (8,3). Expected: distinct locations with reversed coordinate roles.

Nothing here is saved to an account or sent to a teacher. The answer download includes your current choice and any checked feedback. It does not include choices from the separate More practice section. Download that section separately.

More practice: try new cases

Choose an answer for each problem. Explain your method on paper, then use the feedback to decide what to revisit.

More practice: try new cases
1. A point is 3 units right and 5 units up from the origin. Which pair names it?
Need a hint?
  • Use x first and y second.
  • Coordinate order cannot generally be swapped.
2. A point is 4 units right and 6 units up from the origin. Which pair names it?
Need a hint?
  • Use x first and y second.
  • Coordinate order cannot generally be swapped.
3. A point is 5 units right and 7 units up from the origin. Which pair names it?
Need a hint?
  • Use x first and y second.
  • Coordinate order cannot generally be swapped.

Your choices are temporary. Feedback appears after you check all the answers.

Nothing here is saved to an account or sent to a teacher. Keep your own notes or download them before leaving. The score describes these questions; it does not certify subject mastery.

Check the subject sources

These LifeStarter passages, scenarios and exercises are authored for this Academy with AI assistance and review. External resources keep their publishers’ terms. A grade label suggests a starting level; it does not establish alignment with your school’s complete requirements.