Year 4 Maths: Grids and Coordinates

Introduction to Grids and Coordinates

Hello Year 4! Today, we are going to learn about something very exciting: Grids and Coordinates! This will help us understand how to find places on a map or in a game. Let’s dive in!

What is a Grid?

A grid is like a big piece of graph paper made up of lots of little squares. It has horizontal lines (that go from side to side) and vertical lines (that go up and down). When we put these lines together, they create a lot of boxes.

Here’s a simple grid to show you:

    1   2   3   4 1  ●---●---●---●    |   |   |   | 2  ●---●---●---●    |   |   |   | 3  ●---●---●---●    |   |   |   | 4  ●---●---●---● 

What are Coordinates?

Coordinates help us find a specific spot on the grid. We use two numbers to do this. The first number tells us how far to go across (left or right), and the second number tells us how far to go up or down.

We write coordinates like this: (x, y).

• The x tells us the column (left to right).
• The y tells us the row (up and down).

For example, the coordinate (2, 3) means:

• Go 2 places across (to the right).
• Go 3 places down.

Let’s find (2, 3) on our grid:

    1   2   3   4 1  ●---●---●---●    |   |   |   | 2  ●---●---●---●    |   |   |   | 3  ●---●---●---●  <--- (2, 3)    |   |   |   | 4  ●---●---●---● 

Key Rules

1. Always start from the origin: The point (0, 0) is the bottom-left corner of the grid.
2. Count across first: The first number tells you how many spaces to move right or left.
3. Count up or down next: The second number tells you how many spaces to move up or down.

Tips and Tricks

• Remember: x comes first, then y!
• Use your fingers or a pencil to trace the lines on the grid if you need help!
• Practice with a friend by giving each other coordinates to find on a grid.

Questions

Easy Level Questions

1. What do you call the lines that go up and down on a grid?
2. In the coordinate (3, 2), what does the number 3 represent?
3. What is the coordinate for the bottom-left corner of a 4×4 grid?
4. How many boxes are there in a 4×4 grid?
5. If you are at (1, 1), where would you go to get to (1, 2)?
6. What is the coordinate for the top-right corner of a 4×4 grid?
7. Name the coordinates for the point located two spaces right and one space up from (0, 0).
8. If you move from (2, 2) to (2, 3), which direction do you go?
9. Where is (4, 1) on a 4×4 grid?
10. If you are at (2, 3), what will be your new coordinates if you move left by 1?
11. What is the coordinate for the middle point of a 3×3 grid?
12. How many rows are there in a 5×5 grid?
13. What does the coordinate (0, 4) represent?
14. What is the coordinate for one space down from (3, 3)?
15. If you go to (1, 4), how many spaces up did you go from (1, 3)?
16. What is the coordinate (2, 2) if you move one space left and one space down?
17. Name the coordinates for the point located four spaces up from (0, 0).
18. What is the coordinate for two spaces right and three spaces down from (0, 0)?
19. If you are at (4, 4), what happens if you move left by 4 spaces?
20. What is the coordinate for the bottom-right corner of a 3×3 grid?

Medium Level Questions

1. What is the coordinate for (2, 2) if you move one space right?
2. From (1, 1), what are the coordinates if you move up to (1, 2) and then right to (2, 2)?
3. If you are at (3, 4) and move down to (3, 3) and left to (2, 3), what are your new coordinates?
4. How many total squares are there in a 6×6 grid?
5. What are the coordinates for the point that is in the first row and last column of a 4×4 grid?
6. If you start at (0, 0) and go three spaces right and two spaces up, what are your coordinates?
7. What will be the new coordinates if you are at (4, 4) and move one space down and one space left?
8. If you go from (2, 2) to (4, 2), how many spaces did you move?
9. Find the coordinates for the point that is one space left of (3, 1) and one space up.
10. What is the coordinate for (1, 1) after moving 2 spaces right and 1 space down?
11. If you move to (3, 3) and then down to (3, 2), what is your coordinate?
12. From (4, 4), what are the new coordinates if you go left by 3 and down by 1?
13. What is the coordinate of the point that is two spaces down from (2, 4)?
14. If you start at (0, 0) and move one space right and then two spaces up, what are your coordinates?
15. What does the coordinate (5, 2) represent in a 6×6 grid?
16. If you are at (2, 1) and move to (2, 3), how far did you move?
17. What is the coordinate for the point that is two spaces up from (1, 2)?
18. If you go from (0, 0) to (3, 3), what kind of movement did you make?
19. Find the coordinates for the point that is three spaces down and one space left of (4, 4).
20. What are the coordinates if you move from (2, 2) to (2, 5)?

Hard Level Questions

1. If you start at (0, 0) and move right to (3, 0), then up to (3, 1), what are your final coordinates after moving two spaces left?
2. From (1, 1), what are the coordinates after moving three spaces right and two spaces up?
3. How many total coordinates can you make in a 5×5 grid?
4. If you are at (3, 3) and move left to (2, 3), then down to (2, 2), what are your coordinates?
5. What is the coordinate for the top-left corner of a 6×6 grid?
6. If you travel from (1, 1) to (4, 4), how many spaces did you move horizontally and vertically?
7. What is the coordinate if you move from (5, 5) to (2, 3)?
8. How many points can you create in a 7×7 grid?
9. If you start at (2, 2) and move left to (1, 2), then down to (1, 0), what are your coordinates?
10. What will be your coordinates if you start at (3, 2) and move two spaces right and one space down?
11. From (0, 0), if you move to (3, 3) and then left to (1, 3), what are your coordinates?
12. If you are at (2, 4) and go down to (2, 2) and then left to (1, 2), what are your final coordinates?
13. What is the coordinate after moving two spaces left and three spaces up from (4, 3)?
14. If you move from (0, 0) to (3, 1) and then down to (3, 0), how many steps did you take?
15. What would be the coordinates if you move from (2, 3) to (5, 3)?
16. If you are at (5, 0) and move left by 5 spaces, what are your coordinates?
17. From (4, 4), if you move two spaces down and one space left, what is your new coordinate?
18. What does the coordinate (3, 5) represent in a 6×6 grid?
19. If you move from (2, 2) to (2, 5), how many spaces did you move up?
20. Find the coordinates for the point that is one space down and two spaces left of (4, 4).

Answers

Easy Level Answers

1. Vertical lines.
2. The column (how far to the right).
3. (0, 0).
4. 16 squares.
5. You go up.
6. (4, 1).
7. (2, 1).
8. You move down.
9. It is on the grid.
10. (1, 3).
11. (1, 1).
12. 5 rows.
13. The top point.
14. (3, 2).
15. One space up.
16. (1, 1).
17. (0, 4).
18. (2, 3).
19. You go off the grid.
20. (2, 2).

Medium Level Answers

1. (4, 2).
2. (2, 2).
3. (2, 3).
4. 36 squares.
5. (1, 4).
6. (3, 2).
7. (3, 3).
8. Two spaces.
9. (2, 2).
10. (3, 2).
11. (3, 2).
12. (1, 3).
13. (0, 2).
14. (1, 2).
15. The point on the grid.
16. One space up.
17. (1, 4).
18. You moved diagonally.
19. (1, 1).
20. (2, 5).

Hard Level Answers

1. (1, 0).
2. (4, 3).
3. 25 coordinates.
4. (2, 2).
5. (0, 5).
6. 3 horizontal and 3 vertical.
7. (-3, -2).
8. 49 points.
9. (1, 0).
10. (5, 3).
11. (1, 3).
12. (1, 2).
13. (1, 1).
14. 3 steps.
15. (5, 3).
16. (0, 0).
17. (3, 3).
18. The point on the grid.
19. Three spaces.
20. (2, 2).

And that’s it for today, Year 4! Remember, practice makes perfect. Try out the questions and see how well you can find your way around using grids and coordinates! Happy learning!