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

If one shape can fit exactly on top of another using rotation, reflection or translation, then the shapes are congruent.

A vector can be used to describe a translation.

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

Displacement is the distance from the starting point when measured in a straight line.

Checking and securing understanding of translations

Maths

Column vectors

Parallel vectors

Addition with vectors

Subtraction with vectors

Multiplication with vectors

Fluency in arithmetic procedures with vectors

Algebraic vector notation

Parallel vectors in algebraic vector notation

The sum and difference with algebraic vector notation

Fluency in arithmetic procedures with algebraic vector notation

Calculating the magnitude of a vector

Dividing vectors into ratios

Geometric proofs with vectors

Advanced problem solving with vectors

In the prior unit, pupils described a translation using column vector notation. Pupils' understanding of vectors is further developed in this unit, with pupils exploring column vector notation and arithmetic procedures.

In this unit, pupil understanding of vectors is deepened with pupils exploring column vector notation and arithmetic procedures.

Vectors

Displacement is the distance from the starting point when measured in a {{ }} line.

Match each vector to the displacement it describes.

Which is the correct vector to translate the tail to the correct place on the elephant?

Which is the correct vector to translate A to A'?

A transformation is a process that may change the size, orientation or {{ }} of a shape.

Which of the following is not a transformation?

Which is the correct mathematical term for a shape that can fit exactly on top of another using rotation, reflection or translation?

Which of the following happens when a translation takes place?

Which of the following is used to describe a translation?

A point where two or more line segments meet is called a {{ }}. 

Checking and securing understanding of translations

Lesson outcome