Myths about teaching can hold you back
- Year 7
Plotting a relationship
I can use a graphical representation to show all of the points (within a range) that satisfy a relationship.
- Year 7
Plotting a relationship
I can use a graphical representation to show all of the points (within a range) that satisfy a relationship.
Lesson details
Key learning points
- A line can be drawn using coordinates found following a rule.
- You can check any point on the line and it will satisfy the rule.
- Points that are not on the line do not satisfy the rule.
- Points can be tested to see if they are on the line or not.
Keywords
Substitution - Substitute means to put in place of another. In Algebra, substitution can be used to replace variables with values.
Integer - An integer is any positive or negative whole number or zero.
Common misconception
Pupils may join up their coordinates but not extend their line.
Lines are used to represent all coordinates that follow a rule. Unless given restrictions, lines should be infinitely long.
To help you plan your year 7 maths lesson on: Plotting a relationship, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 7 maths lesson on: Plotting a relationship, 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 Plotting coordinates unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Write the coordinate of the point plotted on the graph shown
Q2.Which of these follow the rule $$y=8$$?
Q3.To __________ is to put in place of another. In algebra this can mean replacing variables with values.
Q4.Match the coordinate with the missing value so that each coordinate satisfies the rule $$y=-4x$$
(3,____) -Â
-12
(-3,____) -Â
12
(____,0) -Â
0
(1,____) -Â
-4
(____, -16) -Â
4
(____,4) -Â
-1
Q5.What is the value of the expression $$2x+5$$ when $$x=7$$?
Q6.What is the value of the expression $$10-5x$$ when $$x=-3$$
Assessment exit quiz
6 Questions
Q1.What is the minimum number of coordinates you need to plot to draw a straight line?
Q2.Which of these is the correct way to draw the line of the rule $$y=2$$?
Q3.True or false: The coordinate (5,9) will lie on the line $$y=x+4$$
Q4.Match the coordinate with the equation for the line it will lie on
(3,6) -Â
$$y=x+3$$
(-3,6) -Â
$$y=-2x$$
(5,10) -Â
$$y=3x-5$$
(2,7) -Â
$$y=5x-3$$
Q5.Fill in the missing $$y$$ coordinate so this coordinate lies on the line $$y={1\over 2}x+4$$ (8, )
Q6.Fill in the missing $$y$$ coordinate so this coordinate lies on the line $$y=-7x-15$$ (-3, )