Grade 6 · Math

6th grade Distances and shapes on a grid worksheet

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Distances and shapes on a grid

Grade 6 Math Worksheet - Challenge Me

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Circle the best answer, or write your answer on the line.

On Pia's map grid, the campsite is at (-14, -9) and the lake is at (6, -9). Each square is 1 unit. How many units apart are they?
Ren's map grid puts the skate park at (-3, 8) and the bike shop at (11, 8). Each square is 1 block. How many blocks apart are they?
On Tala's map grid, the farm stand is at (5, -10) and the barn is at (13, -10). Each square is 1 unit. How many units apart are they?
Zee's map grid puts the north gate at (-15, 12) and the water tower at (-6, 12). Each square is 1 unit. How many units apart are they?
On Ari's map grid, the old bridge is at (-12, 4) and the town square is at (7, 4). Each square is 1 block. How many blocks apart are they?
Jun's map grid puts the trail start at (-8, -15) and the ranger hut at (-8, -5). Each square is 1 unit. How many units apart are they?
On Kira's map grid, the ferry dock is at (9, -7) and the market is at (9, 12). Each square is 1 block. How many blocks apart are they?
Noah plans a playground. Its corners are A(4, -9), B(14, -9), C(14, 3) and D(4, 3). Each square is 1 meter. What is the perimeter in meters?
Ren marks two opposite corners of a rectangle, (-12, -6) and (8, 7). Its sides run along the grid lines, and each square is 1 meter. What is the perimeter in meters?
Ari bikes from the museum (12, -10) across to the cafe (-3, -10), then up to the train station (-3, -1). Each square is 1 block. How many blocks does Ari bike in all?

6th grade Distances and shapes on a grid worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Distances between points on a grid. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can find how far apart two points are when they are on the same horizontal or vertical line, even when the line crosses 0.
I can count jumps between points, not the points themselves.
I can use the side lengths from the coordinates to find the perimeter of a rectangle on a grid.

Standard: 6.NS.C.8, 6.G.A.3

Words to know

distance: How far apart two points are, counted in jumps of 1.

jump: One space on a number line. Distance is the number of jumps between two points.

absolute value: How far a number is from 0. The absolute value of -3 is 3.

horizontal, vertical: Horizontal goes across. Vertical goes up and down.

opposite sides of 0: One number is negative and the other is positive.

perimeter: The distance all the way around a shape.

Common mistakes

Your child counted the points between two spots on the grid instead of the gaps.

Your child subtracted the two numbers' sizes when the points were on opposite sides of zero.

Your child added the sizes of the two numbers when both points were on the same side of zero.

What to say

Ask: how long is a ruler marked 0 to 5? Count the gaps, not the marks.

Ask: how far is it from -3 to 0, and then from 0 to 5? Add those.

Ask: on a number line, how far is it from 3 to 8?

Questions parents ask

What is the most common mistake with distances and shapes on a grid?

Your child counted the points between two spots on the grid instead of the gaps.

How can I help my child with distances and shapes on a grid?

Ask: how long is a ruler marked 0 to 5? Count the gaps, not the marks.

Are these 6th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 6 math

See all grade 6 math

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