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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

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

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Lesson details

Key learning points

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

Keywords

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

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.

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).

Lesson video

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Worksheet

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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

Correct Answer:1 and 7,4

Correct Answer:1 and 8,4.5

4.5

Correct Answer:1 and 10,5.5

5.5

Correct Answer:2 and 10,6

Correct Answer:2 and 11,6.5

6.5

Q4.

What is this coordinate?

$$(2,-5)$$

$$(-2,-5)$$

$$(5,-2)$$

Correct answer: $$(-2,5)$$

Q5.

What's wrong with the labelling of this coordinate?

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?

$$(-11,-12)$$

$$(-12,-10)$$

$$(-12,-11)$$

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?

$$(5,3)$$

$$(3,5)$$

Correct answer: $$(1.5,2.5)$$

$$(2.5,1.5)$$

$$(1.5,5)$$

Q3.

What is this coordinate?

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?

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?

$$(2.1,-2)$$

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?

Correct answer: $$(4.3,-3.5)$$

$$(4.3,-2.8)$$

$$(-2.9,2.8)$$

$$(-2.9,3.5)$$