A sequence where the difference between successive terms is a constant.

Checking and securing understanding of plotting coordinates generated from a rule

Maths

Checking and securing understanding of plotting coordinates

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

This table of values tells us the {{ }} to plot the relationship $$y=3x+4$$.

The line should extend to the edges of the grid.

There shouldn't be a line through the points.

What is wrong with this plotting of the arithmetic sequence $$2n−1$$?

Which of these arithmetic sequences could this graph represent?

What are the two missing $$y$$ coordinate values for this linear rule?

This is a table of values for a linear rule but there is an error. Which value is the error?

For the linear rule $$y=13−2x$$ what is the $$y$$ coordinate when $$x=−5$$?

Which of these words describes the sequence $$11,15,19,23, ...$$?

What are the first three terms of the arithmetic sequence $$10n−2$$?

Add $$3$$ to $$n$$ and then multiply $$5$$.

Match the verbal description to the $$n^{\text{th}}$$ term expression.

Which of these coordinates fits the rule $$y=7−2x$$?

Which rule links $$n$$ to $$T$$ in this arithmetic sequence?

Checking and securing understanding of plotting coordinates generated from a rule

Lesson outcome