Sliding or moving a shape without rotating or flipping it means to translate.

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

Horizontal is side to side, like the horizon.

Vertical is an up-down direction or position.

Draw polygons specified by translations

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

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

Translate polygons in the first quadrant

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 says ‘I’ve translated this polygon A to B using these directions: 4 squares left and 1 square up.’ Is he correct?

Describe the translation of A to B. The same number is in both instructions.

{{  }} squares left. ___ squares down.

Match the translations of the shapes to the instructions.

Sofia is struggling to find the original positions of polygons after a translation What helpful tip can we give? 
{{  }} the directions.

Lucas translates a polygon 3 squares right and 2 squares down. The image shows the ending position. Describe the translation to get it back to its original position:

Marking a vertex helps you track a translation. True or false? 

What translation is needed to move the polygon from A to B?

Lucas wants to translate the polygon from A to B. Which translation is incorrect?

Look at Sofia’s directions. Which image shows the correct translation? 3 squares right and 1 square down. What’s the new position?

Complete to the translation from A to B.  {{  }} squares right. 2 squares down.

Sofia says she has translated the polygon 4 squares right and 1 square down. Is she correct?

Starter Quiz

Marking a vertex helps you track a translation. True or false?