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 - Building Confidence

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

Bo's map grid puts the pond (full of sleepy ducks) at (1, -4) and the swing set at (6, -4). Each square is 1 unit. How many units apart are they?
On Esme's map grid, the bakery is at (-5, 3) and the school is at (-1, 3). Each square is 1 block. How many blocks apart are they?
On Kira's map grid, the bench is at (2, 1) and the fountain is at (5, 1). Each square is 1 unit. How many units apart are they?
Luz's map grid puts the kite at (4, -5) and the flag at (4, 2). Each square is 1 unit. How many units apart are they?
On Milo's map grid, the nest box is at (-5, 4) and the water circle is at (-5, 6). Each square is 1 unit. How many units apart are they?
On Pia's map grid, the pool is at (-2, -1) and the gym is at (-2, 5). Each square is 1 block. How many blocks apart are they?
Ari sketches a rectangle on graph paper. Its corners are A(-5, -3), B(-1, -3), C(-1, 3) and D(-5, 3). Each square is 1 unit. What is the perimeter in units?
Bo marks two opposite corners of a rectangle, (1, 2) and (6, 4). Its sides run along the grid lines, and each square is 1 unit. What is the perimeter in units?
Jun maps two spots in one row. The slide is 2 units to the right of the y-axis. The swing set is 6 units to the right of the y-axis. How far apart are they?
Luz maps two spots in one row. The gate is 5 units to the left of the y-axis. The shed is 2 units to the left of the y-axis. How far apart are they?

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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