Myths about teaching can hold you back
- Year 8
Checking and securing understanding of plotting coordinates generated from a rule
I can represent, algebraically and graphically, a set of coordinates constructed according to a mathematical rule.
- Year 8
Checking and securing understanding of plotting coordinates generated from a rule
I can represent, algebraically and graphically, a set of coordinates constructed according to a mathematical rule.
Lesson details
Key learning points
- An arithmetic sequence can be generated using an n^th term rule..
- The term numbers and terms of a sequence can be converted onto coordinates.
- These coordinates will lie on a straight line when plotted.
- Often the rule will be written using a pair of variables.
- The points can be generated and plotted in the same way as with a sequence.
Keywords
Arithmetic (linear) sequence - A sequence where the difference between successive terms is a constant.
Common misconception
The plotted points of an arithmetic sequence form a line so we draw a line connecting them.
Sequences are an ordered list and do not always need to follow a rule, so we often only find and use the positive integer term numbers.
To help you plan your year 8 maths lesson on: Checking and securing understanding of plotting coordinates generated from a rule, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 8 maths lesson on: Checking and securing understanding of plotting coordinates generated from a rule, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 3 maths lessons from the Graphical representations of linear equations unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Prior knowledge starter quiz
6 Questions
Q1.Which of these words describes the sequence $$11,15,19,23, ...$$?
Q2.What are the first three terms of the arithmetic sequence $$10n−2$$?
Q3.Match the verbal description to the $$n^{\text{th}}$$ term expression.
$$3n$$ -
Multiply $$n$$ by $$3$$
$$3n+5$$ -
Multiply $$n$$ by $$3$$ and add $$5$$
$$5n+3$$ -
Multiply $$n$$ by $$5$$ and add $$3$$
$$5(n+3)$$ -
Add $$3$$ to $$n$$ and then multiply $$5$$.
$$n+3$$ -
Add $$3$$ to $$n$$
Q4.Match the point to its coordinate pair.

A -
$$(2, 4)$$
B -
$$(3, 3)$$
C -
$$(4, 2)$$
D -
$$(5, 1)$$
Q5.Which of these coordinates fits the rule $$y=7−2x$$?
Q6.Which rule links $$n$$ to $$T$$ in this arithmetic sequence?

Assessment exit quiz
6 Questions
Q1.This table of values tells us the to plot the relationship $$y=3x+4$$.

Q2.What is wrong with this plotting of the arithmetic sequence $$2n−1$$?

Q3.Which of these arithmetic sequences could this graph represent?

Q4.What are the two missing $$y$$ coordinate values for this linear rule?

Q5.This is a table of values for a linear rule but there is an error. Which value is the error?
