Translations on a Grid

Year 4 MathsCoordinates3 pages

About this worksheet

Translations on a coordinate grid for Year 4, over four pages. Task 1 shows a triangle, a square and a rectangle on a grid numbered 0 to 10, each with a moved copy, and pupils write how many squares left or right and up or down. Task 2 gives the vertices of four shapes and a translation such as 3 right, 2 up. Pupils write the new coordinates in a table. The key lists every answer. It follows England National Curriculum position and direction.

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Curriculum objectives covered

Geometry - position and direction

โ€œdescribe movements between positions as translations of a given unit to the left/right and up/downโ€

Task 1 asks pupils to describe three translations, and Task 2 gives four translations to carry out, including 5 left, 1 down.

Geometry - position and direction

โ€œdescribe positions on a 2-D grid as coordinates in the first quadrantโ€

Task 2 asks for the new coordinates of fourteen vertices, such as the rectangle moving from (2, 5) to (6, 2).

What's inside this worksheet

Describe the Translations

A grid with three pairs of shapes labelled A and B. Pupils fill gaps such as The triangle has moved ... squares right and ... square up.

Find the New Coordinates

A reminder box on how right, left, up and down change the x and y numbers, then a table of four shapes. Pupils apply movements such as 2 left, 4 up and 4 right, 3 down to every vertex.

Answers

The three movements for Task 1 and the completed table, for example (1, 1) moving to (4, 3).

How teachers use it

Rule first

Read the reminder box aloud before Task 2. Ask pupils which number changes for left and right, and which changes for up and down.

Tracing paper check

Give pupils tracing paper for Task 1. They trace shape A and slide it across the grid to check their counts.

Extension row

Keep the last row, 5 left and 1 down, for pupils who are ready. The first vertex lands on the y-axis at (0, 3).

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