5th Grade Graphing on the Coordinate Plane Worksheets with Answers (Free PDF)

5th grade coordinate plane worksheet – Maths PDF

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This 5th grade coordinate plane worksheet covers graphing on the coordinate plane (Common Core 5.G.A.1, 5.G.A.2), with a free PDF to print.

Key takeaway: This worksheet helps fifth grade students practice reading and plotting ordered pairs, finding distances on grid lines, and interpreting graphs of real data.

Topic: Graphing on the Coordinate Plane (5th grade)
Content: 20 worksheet problems, from easy to challenging
Standards: 5.G.A.1, 5.G.A.2
Answers: On a separate page, so you can try every worksheet problem first
Format: Free printable PDF, US Letter, black and white

This worksheet helps fifth grade students practice reading and plotting ordered pairs, finding distances on grid lines, and interpreting graphs of real data. Also, maps, tables, and graphs show how the coordinate plane describes everyday situations.

There are 20 problems. The first six name coordinates, plot points, and describe moves from a point. The next six find distances, plot shapes, compare points, and read a map. Then, the last eight turn tables into ordered pairs and interpret graphs about cookies, dog walking, plants, a road trip, lemonade, a treasure map, a walk to school, and saving money. Also, allow about 35 minutes.

This worksheet has 20 problems on the coordinate plane (5.G.A.1 and 5.G.A.2). You will name and plot points in the first quadrant, find distances along grid lines, and read graphs of real situations.

The problems begin with ordered pairs and move to maps, tables and graphs with a scale. The last six are word problems. Always give the x-coordinate first and label axes with units.

Grade 5 · Common Core State Standards: 5.G.A.1, 5.G.A.2

5th grade coordinate plane worksheet: worksheet problems 1 to 10

1 – Read the points

First, write the ordered pair for each point.

Four points on a coordinate plane.

2 – Plot a point

Next, plot the point $G(3,5)$ on a coordinate plane. How many units do you move right, and how many up, from the origin?

3 – Which number is the x-coordinate

Then, solve. In the ordered pair $(7,2)$, name the x-coordinate and the y-coordinate.

4 – Point on the x-axis

Now, solve. Point P is on the x-axis, 5 units to the right of the origin. Write the ordered pair for P.

5 – Point on the y-axis

Also, solve. Point Q is on the y-axis, 6 units above the origin. Write the ordered pair for Q.

6 – Moving from a point

First, solve. Start at $(2,3)$. Move 4 units right. Then move 2 units up. Where do you end?

7 – Distance on a horizontal line

Next, find the distance between $(1,4)$ and $(7,4)$.

8 – Distance on a vertical line

Then, find the distance between $(3,2)$ and $(3,9)$.

9 – Plot a rectangle

Now, plot the points $(1,1)$, $(4,1)$, $(4,3)$ and $(1,3)$ and connect them in order. Name the shape and find its perimeter.

Worksheet problem 10 and after

10 – Same point or not

Also, solve. Are the points $(5,2)$ and $(2,5)$ the same point? Look at the graph and explain.

Point P and point Q.

Worksheet problems 11 and up

11 – Vertices of a triangle

First, write the ordered pair for each vertex of the triangle. Then find the length of side PQ.

Triangle PQR.

12 – School map

Next, solve. The map shows the school at $(2,3)$, the library at $(6,3)$ and the park at $(6,7)$. (a) How far is it from school to the library? (b) How far is it from the library to the park? (c) How far is the walk from school to the library to the park?

A map with each square equal to one block.

13 – Table to ordered pairs

Then, solve. A pack of cookies has 6 cookies. The table shows packs and cookies. Write ordered pairs (packs, cookies).

Packs	1	2	3	4
Cookies	6	12	18	24

14 – Dollars and hours

Now, solve. The graph shows the money Mei earns for hours of dog walking. (a) What does the point $(3,24)$ mean? (b) How much does she earn in 4 hours?

Dollars earned for hours worked.

Worksheet problem 15 and after

15 – Plant growth

Also, solve. Ethan measured his bean plant each week. The graph shows its height in inches. (a) How tall was the plant in week 3? (b) How many inches did it grow from week 1 to week 4?

Height of a bean plant.

16 – Road trip

First, solve. The Rivera family drives on the highway. The graph shows the miles driven after each hour. (a) How far did they drive in 3 hours? (b) How many miles per hour is that? (c) At this speed, how far will they drive in 5 hours?

Miles driven after each hour.

17 – Lemonade stand

Next, solve. Sofia sells lemonade for $2 a cup. The table shows cups sold and dollars earned. (a) Write the ordered pairs. (b) What is the ordered pair for 6 cups? (c) How many dollars does she earn for 9 cups?

Cups	1	2	3	4
Dollars	2	4	6	8

18 – Treasure map

Then, solve. A treasure map starts at the origin. Diego walks 4 units right and 6 units up to the treasure chest. Then he walks 3 units up to a cave and 5 units right to a boat. Write the ordered pair for each place.

Worksheet problem 19 and after

19 – Walk to school

Now, solve. Diego’s house is at $(2,1)$ on a town grid. Mei’s house is at $(2,8)$ and the school is at $(5,8)$. Each unit is one block. How many blocks does Diego walk if he goes to Mei’s house first and then to school?

20 – Saving money

Also, solve. Aisha saves $5 each week. After week 1 she has $5, after week 2 she has $10, and so on. (a) Write ordered pairs (week, dollars) for weeks 1 to 4. (b) Write the ordered pair for week 10. (c) In which week will she have $50?

Key facts behind this 5th grade coordinate plane worksheet

Key facts

The x-axis is horizontal and the y-axis is vertical; they meet at the origin (0, 0).
Next, an ordered pair (x, y) gives the move right first, then up.
(2, 5) and (5, 2) are two different points.
Points with the same x-coordinate or the same y-coordinate lie on a straight line, so subtract to find the distance.
Axis labels explain what each coordinate means in a real-world graph.

Common mistakes with this 5th grade coordinate plane worksheet

Students treat (6, 1) and (1, 6) as the same point. They are different points, because the order of the coordinates matters.
Students find a distance by subtracting the wrong coordinates. Also, on a horizontal line, subtract the x-coordinates, and on a vertical line, subtract the y-coordinates.
Students write ordered pairs as (cookies, packs) when the table lists packs first. Instead, follow the order the question gives.
Students stop after one leg of a map trip. Also, add the legs to get the total number of blocks.

Tips before you start the worksheet problems

Use grid paper and a sharp pencil. Also, neat points make it easier to read coordinates. Repeat this habit on every problem for the best results.
Check each plotted point by rereading the pair and retracing the path from the origin. Repeat this habit on every problem for the best results.
Teachers can ask students to swap graphs and name each other’s points. Repeat this habit on every problem for the best results.

Download the 5th grade coordinate plane worksheet as a PDF with the button below and keep it with your notes.

5th grade coordinate plane worksheet: frequently asked questions

How do you find the distance between two points on a vertical line?

The x-coordinates match, so subtract the y-coordinates. So, for (2, 3) and (2, 10), subtract 10 minus 3. The distance is 7 units. You can also count the spaces on the grid.

How do you turn a table into ordered pairs?

Pair each input with its output in the order the headings give. If the table shows hours and dollars, write (hours, dollars). Then plot each pair on the grid and look for a pattern.

How do you describe a move on a grid?

Say how many units right and how many up, in that order. A move from (1, 1) of 3 right and 2 up ends at (4, 3). Write the final point as an ordered pair.

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