Myths about teaching can hold you back
- Year 7
Checking and securing dividing a fraction by a whole number
I can use the mathematical structures that underpin the division of fractions to divide a fraction by a whole number.
- Year 7
Checking and securing dividing a fraction by a whole number
I can use the mathematical structures that underpin the division of fractions to divide a fraction by a whole number.
Lesson details
Key learning points
- A diagram can help to show the underlying structure.
- A fraction can be converted to an equivalent fraction.
- Equivalent fractions can make the division easier.
Keywords
Lowest common multiple - The lowest common multiple is the lowest number that is a multiple of two or more numbers.
Common misconception
When dividing a fraction by an integer, some divide the numerator and denominator by the integer.
Embed the understanding that when dividing by an integer, only the numerator is divided as the number of equal parts remains the same.
To help you plan your year 7 maths lesson on: Checking and securing dividing a fraction by a whole number, 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 dividing a fraction by a whole number, 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 Arithmetic procedures with fractions unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
Loading...
Prior knowledge starter quiz
6 Questions
Q1.Dividing a cake into 4 equal parts means each part represents .
Q2.What is the lowest common multiple of 2 and 3?
Q3.What is the lowest common multiple of 5 and 4?
Q4.What is the lowest common multiple of 4 and 12?
Q5.Match the simplified fraction on the left with an equivalent fraction.
$${1} \over {2}$$ -
$${3} \over {6}$$
$${4} \over {5}$$ -
$${12} \over {15}$$
$${3} \over {7}$$ -
$${9} \over {21}$$
$${1} \over {4}$$ -
$${2} \over {8}$$
Q6.What is a half of a half?
Assessment exit quiz
6 Questions
Q1.A pizza is split into 15 equal pieces. A teacher takes 1 piece and the remaining is shared equally between 2 students. What fraction of the whole pizza does each student receive?
Q2.A chocolate bar has 17 equal pieces. The teacher eats 7 pieces and shares the rest between 5 students. What fraction of the whole chocolate bar does each student have?
Q3.Work out $$\frac{5}{11} \div5$$.
Q4.Work out $$\frac{12}{17} \div3$$.
Q5.Match the division on the left with the answer on the right.
$$\frac{18}{19} \div3$$ -
$$\frac{6}{19}$$
$$\frac{18}{19} \div6$$ -
$$\frac{3}{19}$$
$$\frac{18}{19} \div2$$ -
$$\frac{9}{19}$$
$$\frac{18}{19} \div18$$ -
$$\frac{1}{19}$$
Q6.Match the question with the answer. Match the division on the left with the answer on the right.
$$\frac{2}{9} \div3$$ -
$$\frac{2}{27}$$
$$\frac{3}{9} \div3$$ -
$$\frac{1}{9}$$
$$\frac{4}{9} \div3$$ -
$$\frac{4}{27}$$
$$\frac{1}{18} \div3$$ -
$$\frac{1}{54}$$