A mixed number is a whole number and a fraction combined.

Compare and order mixed numbers using fraction sense

Maths

In this unit pupils will estimate the position of numbers on a number line using fraction sense. They will compare and order mixed numbers using fraction sense when the whole number and the numerator of the fractional part is the same. In the future unit pupils will make efficient choices about the order they solve an addition and subtraction problem involving mixed numbers.

In the prior unit pupils composed and decomposed quantities made of whole numbers and fractional parts. In this unit pupils will estimate the position of numbers on a number line using fraction sense. They will compare and order mixed numbers using fraction sense when the whole number and the numerator of the fractional part is the same. 

Compare and order mixed numbers and position on a number line

Identify the number represented by ‘A’

Using the number line to compare the size of the numbers, complete the sentence using ‘greater’ or ‘less’: 
$$ {3} \over {7}$$ is __________ than $$1{{2} \over {7}}$$ 

$$ {3} \over {7}$$ < $$1{{6} \over {7}}$$  

$$ {3} \over {7}$$ > $$2{{3} \over {7}}$$

$$2{{3} \over {7}}$$ > $$1{{6} \over {7}}$$

$$1{{6} \over {7}}$$ < $$1{{2} \over {7}}$$

Which symbol makes this statement true? 9 ___ $$9{{3} \over {7}}$$

Which symbol makes this statement true? $$10{{3} \over {7}}$$  ___ $$9{{3} \over {7}}$$

Look at these numbers. Which is the smallest?

Look at the part-part-whole model. What is the value of the whole number part of this mixed number?

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

On a number line, which integer would be before the mixed number $$1 {{3} \over {8}}$$ ? 

Complete the sentence: 999 is __________ than 1,001

Which of the following numbers is represented by the letter ‘A’? 

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

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