Myths about teaching can hold you back
- Year 7
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.
- Year 7
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.
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.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
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.
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Prior knowledge starter quiz
6 Questions
Q1.Two fractions are equivalent if they have the same .
Q2.Use the diagram to help you find two more fractions that are equivalent to $$4 \over 5$$.
Q3.Alex writes: $$\frac{3\times \square}{7\times \square} = \frac{12}{28}$$. What number should Alex write in each box?
Q4.Select all the fractions that are equivalent to $$1 \over 4$$.
Q5.Select all the fractions that are equivalent to $$5 \over7$$.
Q6.Match each fraction to an equivalent fraction.
$$1 \over 6$$ -
$$3 \over 18$$
$$2 \over 9$$ -
$$6 \over 27$$
$$5 \over 11$$ -
$$25 \over 55$$
$$5 \over 8$$ -
$$20 \over 32$$
$$5 \over 7$$ -
$$20 \over 28$$
Assessment exit quiz
6 Questions
Q1.Match together each type of fraction with an example of that fraction.
improper fraction -
$$\frac {8}{5}$$
proper fraction -
$$\frac {3}{5}$$
mixed number -
$$1 \frac {3}{5}$$
Q2.Write the correct symbol (<, > or =) to complete the statement: 467 ÷ 466 1
Q3.Match each statement to the symbol that should go in the box.
$$\frac{7} {8} \square 1$$ -
<
$$\frac{7+8}{8+7} \square 1$$ -
=
$$\frac{8} {7} \square 1$$ -
>
Q4.Jun writes: $$\frac{12} {5} = \square \frac {2}{5}$$. Jun should write the number in the box.
Q5.Izzy writes: $$\frac{19} {3} = 6 \frac {\square}{3}$$. Izzy should write the number in the box.
Q6.Match each improper fraction to its equivalent mixed number.
$$ \frac {7}{4}$$ -
$$1 \frac {3}{4}$$
$$ \frac {5}{2}$$ -
$$2 \frac {1}{2}$$
$$ \frac {10}{8}$$ -
$$1 \frac {1}{4}$$
$$ \frac {11}{4}$$ -
$$2 \frac {3}{4}$$
$$ \frac {12}{8}$$ -
$$1 \frac {1}{2}$$