Solve division problems involving grouping, including those with remainders
I can solve division problems involving grouping, sometimes with remainders.
Solve division problems involving grouping, including those with remainders
I can solve division problems involving grouping, sometimes with remainders.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- A multiplication equation can be written to solve division problems.
- A division equation can be written to solve division problems.
- The number of equal groups in a number can be found by counting forwards.
- The number of equal groups in a number can be found by counting backwards.
- Counting forwards is usually easier because multiplication facts can be used to help.
Keywords
Grouping - Grouping is when we divide a number of objects into equal groups. We know the total number of objects and the number of objects in each group, but we do not know how many equal groups there are.
Division - Division means splitting into equal parts or groups
Divisor - The divisor is what we are dividing by.
Remainder - A remainder is the amount left over after division when the dividend does not divide exactly by the divisor.
Common misconception
Children may not understand division as repeated subtraction because they can count forwards to find the number of equal groups in a number.
On a number line, show how counting forwards and backwards in multiples results in the same answer. Discuss the difficulty of using tables facts to count backwards when there is a remainder, so they understand why counting forwards is more efficient.
To help you plan your year 4 maths lesson on: Solve division problems involving grouping, including those with remainders, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 4 maths lesson on: Solve division problems involving grouping, including those with remainders, 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
Exit quiz
6 Questions
making groups with the same number of objects in each group
splitting into equal parts or groups
what we are dividing by
the amount left over after a division
18 ÷ 9 = 2
42 ÷ 7 = 6
40 ÷ 8 = 5
28 ÷ 4 = 7
6 × 3 + 2
4 × 5 + 3
3 × 6 + 1
6 × 4 + 1