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

Checking and securing understanding of plotting coordinates with technology

Maths

Checking and securing understanding of plotting coordinates

Checking and securing understanding of plotting coordinates generated from a rule

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

Which words describe this plotted sequence?

Because $$3$$ and $$5$$ aren't labelled on the $$x$$ and $$y$$ axes.

We are zoomed in on the wrong region of the graph to see it.

You have to write the coordinate pair in brackets.

Why did the software not plot the coordinate $$(3, 5)$$ in this image?

Which arithmetic sequence is represented here?

It doesn't align with the other coordinates.

Because the $$y$$ coordinate is less than the $$x$$ coordinate.

How do we know that $$(2,−3)$$ does not follow the same linear rule as the other coordinates?

Which term is incorrect in this arithmetic sequence?

Which coordinate fits both of the rules $$y=8−x$$ and $$y=3x−4$$?

The vertical and horizontal lines that divide our coordinate grid into the four quadrants are called ...

Which of these is a correctly formatted coordinate?

Which of these coordinates fits the rule "The $$y$$ coordinate is five times the $$x$$ coordinate minus $$1$$?

Which arithmetic sequence is represented by this table of values?

Arithmetic sequences have which features?

Which relationship is represented by this table of values?

Checking and securing understanding of plotting coordinates with technology

Lesson outcome