Any one of the four areas into which a space is divided by the <i>x</i>- and <i>y</i>-axes in the Cartesian coordinate system.

Checking and securing understanding of plotting coordinates

Maths

Checking and securing understanding of plotting coordinates generated from a rule

Checking and securing understanding of plotting coordinates with technology

Checking and securing plotting a relationship

Features of linear relationships

Defining features of linear relationships

Positive rate of change from a graph

Negative rate of change from a graph

Rate of change from a coordinate pair

The intercept point

The equation of a straight line

Finding the equation of the line y = mx + c

Finding the equation of the line ay + bx + c = 0

Using dynamic software to explore linear relationships

Problem solving with graphing linear relationships

In this unit, pupils saw that an arithmetic sequence can be represented graphically and that this is a linear relationship. Any point on the line satisfies this relationship. In the future unit, pupils learn how to find a value that satisfies the relationship when the second value is known, without the aid of the graph.

The sequences unit allowed pupils to explore different ways of generating sequences and then representing an arithmetic sequence graphically. This served as an introduction to this unit on graphical representations of linear equations.

In this unti we develop understanding of linear relationships and explore the key features of a linear equation such as the gradient, intercept and determining an equation from coordinate pairs.

Graphical representations of linear equations

2 in the $$x$$ direction, 5 in the $$y$$ direction

2 in the positive $$x$$ direction, 5 in the positive $$y$$ direction

Which language best describes this coordinate position?

Match the points to the correct coordinate.

Until we know the scale of the axes we can not know this coordinate.

It is not possible to work it out without more information.

$$(7, 3)$$ is an example of a __________ pair.

On a coordinate grid the vertical axis is labelled as ...

Squares have four equal __________ and four equal ...

We use dots, not crosses to mark coordinates.

There is no comma between the $$x$$ and $$y$$ coordinates.

The $$x$$ and the $$y$$ coordinates are the wrong way round.

What's wrong with the labelling of this coordinate?

The coordinate $$(0, 0)$$ is also known as ...

Checking and securing understanding of plotting coordinates

Lesson outcome