Represent division by sharing with equations
I can represent and interpret division by sharing where there is a remainder.
Represent division by sharing with equations
I can represent and interpret division by sharing where there is a remainder.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- A multiplication and addition equation can be written to represent division between groups (or sharing).
- A division equation can be written to represent division between groups (or sharing).
- The number of equal groups to share out can be found by counting forwards.
- The number of equal groups to share out can be found by counting backwards.
- Counting forwards is usually easier because multiplication facts can be used to help us.
Keywords
Share - Sharing is when a whole amount is split into equal parts or groups. We know the total number of objects and the number of parts it is split into, but we don't know how many are in each part.
Remainder - A remainder is the amount left over after division when the dividend does not divide exactly by the divisor.
Division - Division is splitting into equal parts or groups.
Common misconception
Children may not see the link between sharing and grouping as sharing has traditionally been done by sharing out objects one by one. This becomes far less efficient when working with larger numbers.
To develop understanding of 'dividing between', ensure that physical objects are shared out in groups each time (forming an array beneath a bar model), rather than one by one.
To help you plan your year 4 maths lesson on: Represent division by sharing with equations, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 4 maths lesson on: Represent division by sharing with equations, 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 2 maths lessons from the Division with remainders unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Starter quiz
6 Questions
24 ÷ 8 = 3
30 ÷ 5 = 6
63 ÷ 9 = 7
56 ÷ 7 = 8
5 × 4 + 2
6 × 5 + 4
4 × 6 + 2
7 × 4 + 3
Exit quiz
6 Questions
the dividend
the divisor
the quotient
