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Identify numbers on marked but unlabelled number lines

Lesson details

Learning outcome

I can identify numbers on marked but unlabelled number lines.

Key learning points

  1. Within a mixed number, the whole number is the most significant part.
  2. The whole number part of a mixed number can be used to decide which integers it will be placed between on a number line.
  3. The fractional part of the mixed number can be used to establish exactly where it will be placed between these numbers.

Keywords

  • Mixed number - A mixed number is a whole number and a fraction combined.

  • Integer - An integer is a number that has no fractional part - they are whole numbers. This includes the counting numbers e.g, 1, 2, 3 and zero.

Common misconception

Children may count the marks rather than the equal parts between integers thereby determining the unit that we are working with incorrectly.

Show that we need to count the equal parts in between the given integers, not the marks. You could model this with the same line with increasing parts.

Teacher tip

Children need to understand, that with mixed numbers, the whole number part is the most significant part and tells us which two integers it sits between on a number line. Determining the unit we are working with is key to being successful so provide children with lots of practice at that.

Licence

This content is © Oak National Academy Limited (2025), 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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Prior knowledge starter quiz

6 Questions

Q1.
Look at this number $$3 {{2} \over {4}}$$ We say it as three and two .

Correct Answer: quarters, fourths

Q2.
Look at the part-part-whole model. What is the missing part?

An image in a quiz
1
4
$$ {1} \over {4}$$
$$ {4} \over {1}$$
Correct answer: 9

Q3.
Look at the part-part-whole model. $$4 {{3} \over {5}}$$ is composed of four wholes and three-

An image in a quiz
Correct Answer: fifths

Q4.
Look at this number line. The missing number is

An image in a quiz
Correct Answer: 800

Q5.
Look at this number line. What is the missing number?

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3
5
Correct answer: $$ {3} \over {5}$$
$$ {3} \over {4}$$

Q6.
Look at this number line. The interval between two consecutive whole numbers is divided into how many equal parts?

An image in a quiz
Correct Answer: 5, five

6 Questions

Q1.
Look at the number line. Which number is greater than one but close to one?

An image in a quiz
$$ {3} \over {4}$$
Correct answer: $$1{{1} \over {4}}$$
$$1{{3} \over {4}}$$
$$2{{1} \over {4}}$$

Q2.
Look at the number line and complete this sentence: Each interval between the integers on the line is divided into four equal parts. This allows us to count in __________.

An image in a quiz
halves
thirds
Correct answer: quarters
fifths

Q3.
Look at the numberline. Where would $$1{{5} \over {6}}$$ be positioned?

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A
B
Correct answer: C
D

Q4.
Look at this number line. Match the letter to the number that it is representing.

An image in a quiz
Correct Answer:A,$$ {3} \over {8}$$

$$ {3} \over {8}$$

Correct Answer:B,$$1{{2} \over {8}}$$

$$1{{2} \over {8}}$$

Correct Answer:C,$$1{{7} \over {8}}$$

$$1{{7} \over {8}}$$

Correct Answer:D,$$2{{6} \over {8}}$$

$$2{{6} \over {8}}$$

Q5.
What volume of water is in the jug?

An image in a quiz
$$1{{1} \over {2}}$$ litres
$$1{{1} \over {3}}$$ litres
Correct answer: $$1{{1} \over {4}}$$ litres
$$1{{1} \over {5}}$$ litres

Q6.
What volume of water is in the jug?

An image in a quiz
$$1{{4} \over {10}}$$ litres
$$1{{3} \over {5}}$$ litres
$$1{{4} \over {4}}$$ litres
Correct answer: $$1{{4} \over {5}}$$ litres

To help you plan your 4 maths lesson on: Identify numbers on marked but unlabelled number lines, download all teaching resources for free and adapt to suit your pupils' needs...