A vertex is the point where two or more lines meet. The plural is vertices.

Translation is a transformation in which every point of a shape moves the same distance in the same direction.

Translate polygons in the first quadrant

Maths

Give directions from one position to another on a grid

Move objects including polygons on a grid according to directions and mark the new position

Describe translations of polygons drawn on a square grid

Draw polygons specified by translations

Mark the position of points specified by coordinates in the first quadrant of a coordinate grid

Write coordinates for already marked points in the first quadrant of a coordinate grid

Draw polygons specified by coordinates in the first quadrant

Complete polygons with missing coordinates

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

In this unit pupils will give directions from one position to another on a grid and move objects including polygons on a grid according to directions, and mark the new position. They will describe and draw polygons specified by translations. In the future unit pupils will describe positions in all four quadrants drawing and translating simple shapes and reflecting them in the axes.

In the prior unit pupils rotated two lines around a fixed point to make different sized angles. They identified vertices. In this unit pupils will give directions from one position to another on a grid and move objects including polygons on a grid according to directions, and mark the new position. They will describe and draw polygons specified by translations.

In this unit pupils will give directions from one position to another on a grid and move objects including polygons on a grid according to directions, and mark the new position. They will describe and draw polygons specified by translations.

Coordinates

Jacob has translated shape A to shape B. Is he correct?

Lucas says: ‘When you translate a shape, you can also rotate it and it will still be correct.’ Is Lucas correct? 

A note in a treasure chest gives the following coordinates for vertices of a shape: (5, 4) (4, 2)  (3, 6)  (2, 1)  (1, 7) 
What shape must it create? 

Translate the polygon 1 square left. What are the new coordinates of the vertices?

Translate the polygon 2 squares right and 1 square down. What are the new coordinates of the vertices?

Look at the polygon. Write down the translation from A to B.

Which of these correctly describes the translation from shape A to shape B?

The polygon has been translated {{ }} squares up.

Look at the grid and write the coordinates of the point marked by a dot. Remember to use brackets and a comma.

Look at the grid and write the coordinates of the point marked by a star. Remember to use brackets and a comma.

Lucas challenges Sofia to place another dot on the grid. He says the shape needs to be a pentagon. Which coordinates could it be?

Translate polygons in the first quadrant

Lesson outcome