Two lines are parallel if they are straight lines that are always the same (non-zero) distance apart.

The gradient is a measure of how steep a line is. It is calculated by finding the rate of change in the y-direction with respect to the positive x-direction.

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

Parallel vectors

Maths

Checking and securing understanding of translations

Column 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

Two lines are {{ }} if they are straight lines that are always the same (non-zero) distance apart.

Vectors are parallel if they have the same {{ }}.

Which of the following vectors is not parallel to $$12\choose15$$?

The diagram shows a parallelogram. The base of the parallelogram is horizontal. What is the column vector for side $$a$$?

The diagram shows a parallelogram. The base of the parallelogram is horizontal. What is the column vector for side $$b$$?

A {{ }} is a straight line from the start to end point and covers the shortest distance.

Which is the correct graphical representation of this vector? $$-4\choose-3$$

The diagram shows the column vector $$a\choose-1$$ represents. The value of $$a$$ is {{ }}.

The diagram shows the column vector $$a\choose-2$$. The value of $$a$$ is {{ }}.

Match each vector to its best starting point.

Parallel vectors

Lesson outcome