Interpret Coordinate Values in Context

Students interpret what the x and y coordinates of a graphed point mean in the context of a real-world problem. They explain what each coordinate represents (e.g., time vs. distance) and draw conclusions from graphs.

Try three of them

Real questions from this skill, graded here. No account, and nothing is saved.

Grade 5 · Coordinate Plane · question 1 of 3

0 of 20

20 rungs. A star at the top.

A graph plots time (x) vs. distance (y). What does (3, 15) mean?

At 3 hours, the distance is 15 miles.

The speed was 3 over 15.

At 15 hours, the distance is 3 miles.

3 miles were driven 15 times.

How it is taught

0:00 of 2:51

A coordinate only makes sense after you read the axis labels.

The first number matches the across axis, and the second matches the up axis.

Read it: Points on the coordinate plane

The point (4, 5): start at (0, 0), where the axes cross. Walk 4 across, along the x-axis, then 5 up. The first number is always across, the second always up.

Start at (0, 0), where the x-axis and the y-axis cross.
Walk the first number across, to the right.
Walk the second number up, and mark the point.

Across first, then up, so every pair names exactly one point.

(4, 5) and (5, 4) are different points: the order is part of the pair.

A point on an axis has a 0 in its pair: (4, 0) is on the x-axis.

The first number goes across and the second goes up, always from (0, 0).

Walking 5 across and 4 up, which lands on (5, 4).

The first number goes across: (4, 5) is 4 across, then 5 up.

On a plane with days across and pages up, the point (6, 8) means 6 days and ___ pages. — 8. The first number runs across, days; the second runs up, pages: 8 pages.

Maya's bike trip: point (3, 6)

Maya is biking to her grandma's house. We made a graph of her trip — and we want to know what the numbers really mean.

Here are the two axes of our coordinate plane — one going across, and one going up.

The across axis is time, in hours. The up axis is distance, in miles.

We mark the numbers along each axis so we can read points off the graph.

Maya drew a point at three, six. But what does the pair three, six actually tell us?

The first number is the x-coordinate. We slide down from the point to the time axis. It lands on three.

So the three means three hours have gone by since Maya started biking.

The second number is the y-coordinate. We slide left from the point to the distance axis. It lands on six.

So the six means Maya has biked six miles.

Grade 5 · What do the numbers in (3, 6) actually mean?

Put it together: at three hours, Maya had biked six miles. The point tells a tiny story about her trip!

What you see

While they climb, your page writes one true line to ask about tonight, and a short note each Sunday.

MayaGrade 3 · Mathematics

Did you know?

A chessboard has 64 squares — share them out between the 8 rows and each row holds exactly 8.

Today’s goal: 1 star — one skill mastered, every rung of its ladder climbed
Climbing now: Divide within 100

An example student.

MayaGrade 3 · Mathematics

Maya earned 2 stars this week — Interpret multiplication as equal groups, which took 6 answers over 3 days before its star landed 3 days ago and Multiply by 6, 7, 8 and 9. Next up: Divide within 100.

An example week.

More of the library

Every skill has a page

Practise this skill free

14 days of every skill, practice packets, Fluency sheets and up to four students. No card.

Start free