Solve problems involving marking and translating points in the first quadrant on a coordinate grid | Maths

Starter quiz

Which coordinate do we write first when describing a position on the coordinates plane?

x-coordinate ✓

y-coordinate
Which lines are parallel?

A ✓

B

C
Question: What is the coordinate of the dot?

(0, 4) ✓

(4, 0)

(2, 4)
The polygon is translated 1 square down. Write the new coordinate of vertex A remembering brackets and a comma.

'(1,2)' ✓
Translate the polygon 3 squares right. What are the new coordinates of the vertices?

(3, 2) (6, 2) ( 5, 1)

(3, 4) (3, 2) (4, 2) ✓

(2, 1) (4, 1) (2, 3)
The polygon is translated 1 square right and 2 squares down. Write the new coordinate of vertex A remembering brackets and a comma.

'(4,2)' ✓

Exit quiz

Jacob wants to translate his shape 3 squares up. Which statement is correct?

Add 3 to the x-coordinate.

Add 3 to the y-coordinate. ✓

Subtract 3 from the y-coordinate.
Sofia wants to translate her shape 4 squares left. Which statement is correct?

Subtract 4 from the x-coordinate. ✓

Subtract 4 from the y-coordinate.

Add 4 to the x-coordinate.
Which coordinates will produce a rectangle?

(1,4) (1,9) (8,4) (8,9) ✓

(3,4) (3,1) (6,2) (6,4)
Sofia’s triangle has the coordinates (1, 2) (3, 2) and (2, 4). She wants to translate it 1 square down. What will the new coordinates be?

(1, 3) (3, 3) and (3, 4)

(1, 1) (3, 1) and (2, 3) ✓

(0, 2), (2, 2) and (1, 4)
Sofia translates the shape 1 place right and 2 places up. Match the original coordinates to the new coordinates.

(1, 4)

⇔

(2, 6) ✓

(1, 2)

⇔

(2, 4) ✓

(3, 2)

⇔

(4,4) ✓
What is the missing coordinate for vertex B? Remember to write the coordinate using brackets and a comma.

'(5,3)' ✓

Worksheet

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Lesson Details

Key learning points

Coordinates are recorded in brackets with the numbers separated by a comma.
Count along the x-axis and then the y-axis to find the coordinates for the marked point.
The shape made with the new points after translation should be exactly the same shape and size as the original shape.

Common misconception

Pupils might write the y-coordinate (vertical distance) first instead of the x-coordinate (horizontal distance).

Reinforce the correct order by teaching "x comes before y" just like in the alphabet. Practice with examples and devices like "along the x-axis, then up the y-axis" to solidify this concept.

Keywords

Translate / translation - Sliding or moving a shape without rotating or flipping it means to translate.