Checking and securing converting improper fractions to mixed numbers
I can use awareness that fractions of the form a/b, where a>b, are greater than one and so convert from improper fractions to mixed numbers.
Checking and securing converting improper fractions to mixed numbers
I can use awareness that fractions of the form a/b, where a>b, are greater than one and so convert from improper fractions to mixed numbers.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Fractions where the denominator and numerator are the same are equal to one.
- Fractions where the numerator is less than the denominator are less than one.
- Fractions where the numerator is greater than the denominator are greater than one.
- Improper fractions can be written as a whole number and a proper fraction.
- Improper fractions can be converted to mixed numbers.
Keywords
Proper - A proper fraction is a fraction where the numerator is less than the denominator.
Improper - An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Mixed number - A mixed number is an improper fraction written as its integer part plus the fractional part where the fractional part is a proper fraction.
Common misconception
A mixed number can be confused with an integer multiplying by the proper fraction.
Emphasise the language eg. 3 and a 1/2 means 3 + 1/2.
To help you plan your year 7 maths lesson on: Checking and securing converting improper fractions to mixed numbers, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 7 maths lesson on: Checking and securing converting improper fractions to mixed numbers, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
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The assessment exit quiz will test your pupils' understanding of the key learning points.
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Explore more key stage 3 maths lessons from the Comparing and ordering fractions and decimals (positive and negative) unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Equipment
Licence
Lesson video
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Starter quiz
6 Questions
$$1 \over 6$$ -
$$3 \over 18$$
$$2 \over 9$$ -
$$6 \over 27$$
$$5 \over 11$$ -
$$25 \over 55$$
$$5 \over 8$$ -
$$20 \over 32$$
$$5 \over 7$$ -
$$20 \over 28$$
Exit quiz
6 Questions
improper fraction -
$$\frac {8}{5}$$
proper fraction -
$$\frac {3}{5}$$
mixed number -
$$1 \frac {3}{5}$$
$$\frac{7} {8} \square 1$$ -
<
$$\frac{7+8}{8+7} \square 1$$ -
=
$$\frac{8} {7} \square 1$$ -
>
$$ \frac {7}{4}$$ -
$$1 \frac {3}{4}$$
$$ \frac {5}{2}$$ -
$$2 \frac {1}{2}$$
$$ \frac {10}{8}$$ -
$$1 \frac {1}{4}$$
$$ \frac {11}{4}$$ -
$$2 \frac {3}{4}$$
$$ \frac {12}{8}$$ -
$$1 \frac {1}{2}$$