Plotting coordinates generated from a rule
I can represent a set of coordinates, constructed according to a mathematical rule, both algebraically and graphically.
- Year 7
Plotting coordinates generated from a rule
I can represent a set of coordinates, constructed according to a mathematical rule, both algebraically and graphically.
Lesson details
Key learning points
- Pairs of coordinates that follow a rule can be found.
- Pairs of coordinates that follow a rule can be plotted.
- Coordinates that follow a rule will follow a pattern.
- A rule can be identified from the pairs of coordinates.
Keywords
Equation - An equation is used to show two expressions that are equal to each other.
Common misconception
Pupils may try to spot patterns between consecutive coordinates. E.g. the y value goes up in ones.
Get pupils to think about the relationship between x and y within a coordinate. Include non-integer values and coordinates not in order.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.In the coordinate $$(-6,4)$$, what is the value of the $$y$$ coordinate?
Q2.On the graph shown, which is the correct plotting of the coordinate $$(-2,2)$$?
Q3.Match the coordinate to the description.
A -Â The $$x$$ and $$y$$ coordinate are both 4
B -Â The $$y$$ coordinate is 4 and the $$x$$ coordinate is 1
C -Â The $$y$$ and $$x$$ values are both 1
D -Â The $$x$$ coordinate is 4 and the $$y$$ coordinate is 1
Q4.Which equation represents the sentence '$$y$$ is 3 less than $$x$$'
Q5.Which equation represents the sentence '$$x$$ is 4 lots of $$y$$'
Q6.Match the calculation with the correct answer.
$$(-2.5) + 4$$ -Â 1.5
$$2.5 + (-4)$$ -Â -1.5
$$(-2.5)-4$$ -Â -6.5
$$(-2.5) \times 4$$ -Â -10
$$(-2.5) \times (-4)$$ -Â 10
$$2.5-(-4)$$ -Â 6.5
Assessment exit quiz
6 Questions
Q1.A rule for a set of coordinates can be written as an __________.
Q2.Match the equation to the coordinates that follow the rule.
$$x=9$$ -Â $$(9,0)\;(9,9)\;(9,-9)\;(9,3)$$
$$y=9$$ -Â $$(9,9)\;(3,9)\;(-3,9)\;(0,9)$$
$$y=3x$$ -Â $$(-3,-9)\;(0,0)\;(-1,-3)\;(3,9)$$
$$y=x+9$$ -Â $$(0,9)\;(-9,0)\;(3,12)\;(-3,6)$$
$$y=x-9$$ -Â $$(9,0)\;(3,-6)\;(0,-9)\;(-9,-18)$$
$$y=-3x$$ -Â $$(3,-9)\;(0,0)\;(5,-15)\;(-3,9)$$
Q3.What is the rule for the coordinates $$(0,0)\;(5,1)\;(-10,-2)\;(15,3)$$?
Q4.Fill in the missing value in the following coordinate so it follows the rule: $$y=x + 3.5$$ $$\quad$$ $$($$ $$, 6.7)$$
Q5.Which of these rules match the graph shown?
Q6.Which set of coordinates will make a straight line when plotted?
