Use multiplication facts to answer division questions
Lesson details
Learning outcome
I can use multiplication facts to solve division problems, including those with remainders.
Key learning points
- Multiplication facts can be used to solve division equations and problems.
- In cases with a remainder, the largest multiple that is less than or equal to the dividend can be used.
- This indicates which multiplication fact should be used to find the number of equal groups.
- When the largest multiple is found, it is subtracted from the dividend to find the remainder.
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 don't know how many equal groups there are.
Sharing - 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.
Common misconception
Children may choose the multiple that is higher than or closest to the dividend, for example to solve 47 divided by 6, they may choose 8 x 6 = 48 instead of 7 x 6 = 42
Choose smaller numbers to demonstrate the concept, using practical equipment and number lines to demonstrate why the number must be equal to or less than the dividend.
Teacher tip
Make a times table chart available so that children can focus their attention on this idea rather than on recalling tables facts. Identifying the largest relevant multiple of a divisor, and finding the difference between that and the dividend, is essential for formal written methods of division.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Match the multiplication expressions to the correct products.
56
63
54
64
72
Q2.Match the division expressions to the correct quotient.
9
8
6
12
7
Q3.Which bar model represents this problem? Sofia has 60 biscuits and she divides them between 5 bags.
Q4.Alex divides 49 eggs into 7 boxes. There are eggs in each box.
Q5.What is the remainder when 67 sweets are divided between 9 packets? sweets
Q6.Alex divides 40 pencils equally between 6 pots. How many pencils are in each pot?
Assessment exit quiz
6 Questions
Q1.Match the parts of the sentence correctly.
the largest multiple of 7 that is less than or equal to 58
the largest multiple of 5 that is less than or equal to 28
the largest multiple of 10 that is less than or equal to 82
Q2.What is the largest multiple of 6 that is less than or equal to 32?
Q3.Look at this equation. 45 ÷ 7 = ___ The largest multiple of 7 that is less than or equal to 45 is
Q4.45 sweets are divided between 8 bags. There are ___ sweets in each bag. Which multiplication fact will help you to solve this problem?
Q5.Using the given multiples of 12, solve the equation.
Q6.Solve this equation. 50 ÷ 9 = ___
To help you plan your 4 maths lesson on: Use multiplication facts to answer division questions, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 4 maths lesson on: Use multiplication facts to answer division questions, 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 primary maths curriculum, or learn more about lesson planning.