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Year 7

Plotting non-integer coordinates

I can describe and plot coordinates, including non-integer values, in all four quadrants.

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New
New
Year 7

Plotting non-integer coordinates

I can describe and plot coordinates, including non-integer values, in all four quadrants.

Download all resources
Share activities with pupils

Lesson details

Key learning points

  1. Coordinates with any values can be plotted.
  2. Coordinates can be described in all four quadrants.
  3. Shapes can be described using coordinates.

Common misconception

That coordinates only exist, and can only be plotted, on the lines of graph paper.

Between any two vertices there are infinitely more points. Ask pupils to consider what numbers are between 1 and 2.

Keywords

  • Integer - An integer is any positive or negative whole number or zero.

Some verbal play can warm your class up for this topic. "Give me a number between 0 and 5". 1, 2, 3 and 4 will quickly be exhausted. Keep asking. 0.5, 1.5, 1.6 etc. may emerge. The game can go on infinitely.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Video

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Starter quiz

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6 Questions

Q1.
$$2, 27, 327, -7, -107$$ and $$0$$ are all examples of __________.
whole numbers
natural numbers
Correct answer: integers
non-integers
Q2.
Match the equivalent fractions and decimals.
Correct Answer:$$0.25$$,$${1 \over 4}$$

$${1 \over 4}$$

Correct Answer:$$0.2$$,$${1 \over 5}$$

$${1 \over 5}$$

Correct Answer:$$0.5$$,$${1 \over 2}$$

$${1 \over 2}$$

Correct Answer:$$0.75$$,$${3 \over 4}$$

$${3 \over 4}$$

Correct Answer:$$0.6$$,$${3 \over 5}$$

$${3 \over 5}$$

Q3.
Find the midpoint for each pair of numbers.
Correct Answer:1 and 9,5

5

Correct Answer:1 and 7,4

4

Correct Answer:1 and 8,4.5

4.5

Correct Answer:1 and 10,5.5

5.5

Correct Answer:2 and 10,6

6

Correct Answer:2 and 11,6.5

6.5

Q4.
What is this coordinate?
An image in a quiz
$$(2,-5)$$
$$(-2,-5)$$
$$(5,-2)$$
Correct answer: $$(-2,5)$$
Q5.
What's wrong with the labelling of this coordinate?
An image in a quiz
Correct answer: The signs are the wrong way round on both coordinates. It should read $$(3,-4)$$
It's below the $$x$$-axis so both need to be negative. $$(-3,-4)$$
Nothing. That is the coordinate $$(-3,4)$$
Q6.
The sides of this rectangle are parallel to the $$x$$ and $$y$$ axes. What is the missing fourth coordinate?
An image in a quiz
$$(-11,-12)$$
$$(-12,-10)$$
$$(-12,-11)$$
Correct answer: $$(-12,-9)$$
$$(-9,-12)$$

Exit quiz

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6 Questions

Q1.
Coordinates can take integer values such as $$(2,5)$$ and $$(13,-27)$$ and also __________ values such as $$({1 \over 2},{1 \over 5})$$ and $$(1.3,-2.7)$$
smaller
whole number
Correct answer: non-integer
decimal
Q2.
What is this coordinate?
An image in a quiz
$$(5,3)$$
$$(3,5)$$
Correct answer: $$(1.5,2.5)$$
$$(2.5,1.5)$$
$$(1.5,5)$$
Q3.
What is this coordinate?
An image in a quiz
Correct answer: $$(0.2,0.6)$$
$$(0.1,0.3)$$
Correct answer: $$ ({1 \over 5},{3 \over 5})$$
$$ (1,{3 \over 5})$$
$$(1,3)$$
Q4.
What is this coordinate?
An image in a quiz
Correct answer: $$(-1.25, {3 \over 4})$$
$$(-1.25, -{3 \over 4})$$
Correct answer: $$(-{5 \over 4}, {3 \over 4})$$
$$(-0.75, 1.25)$$
Correct answer: $$(-1.25, 0.75)$$
Q5.
What could this coordinate be?
An image in a quiz
$$(2.1,-2)$$
Correct answer: $$(2,-1.9)$$
$$(2,-2.1)$$
$$(2.1,-1.9)$$
$$(1.9,-1.9)$$
Q6.
This rectangle is parallel to the $$x$$ and $$y$$ axes. What is the missing fourth coordinate?
An image in a quiz
Correct answer: $$(4.3,-3.5)$$
$$(4.3,-2.8)$$
$$(-2.9,2.8)$$
$$(-2.9,3.5)$$