Graph Points in the First Quadrant

Students plot points given as ordered pairs in the first quadrant of the coordinate plane. They develop accurate techniques for locating points by moving right along the x-axis, then up along the y-axis.

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Grade 5 · Coordinate Plane · question 1 of 3

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20 rungs. A star at the top.

Where do you start when plotting (3, 5)?

At the origin (0, 0)

At (5, 3)

At (3, 3)

At (5, 5)

How it is taught

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An ordered pair names a point by how far right, then how far up.

The first quadrant is the corner where both numbers are positive.

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.

A point is 7 across and 9 up from (0, 0). Its pair is (7, ___) — 9. Across comes first and up comes second: (7, 9).

Plot (3, 4)

Today we'll plot a point on the coordinate plane. Let's place the point three comma four.

Here's our coordinate plane. The x-axis runs right, the y-axis runs up — and this whole corner is called the first quadrant.

Our point is three comma four. An ordered pair has two numbers: the first is the x-coordinate, the second is the y-coordinate.

Start with the first number. The x-coordinate is three — that tells us how far to move right.

Begin at zero and step three units to the right along the x-axis.

Now the second number. The y-coordinate is four — that tells us how far to move up.

From there, go four units straight up.

Grade 5 · Plotting (3, 4) on the coordinate plane

We've arrived! Mark the point right here.

We plotted three comma four. Remember the order: x first, then y — right, then up. Nice work!

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.

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