Myths about teaching can hold you back
- Year 5
Use knowledge of multiplication and division to solve comparison and change problems
I can use knowledge of multiplication and division to solve comparison and change problems.
- Year 5
Use knowledge of multiplication and division to solve comparison and change problems
I can use knowledge of multiplication and division to solve comparison and change problems.
Lesson details
Key learning points
- Change can be described using multiplication or division. Division can be represented as multiplication by a fraction.
- The sentence 'The __________ is ___ times the size of the __________' supports us to describe a comparison or change.
- If units are different, we should convert so that they are the same - this supports us to calculate.
- To find a missing factor, we can divide the product by the known factor.
Keywords
Comparison - When a comparison is made, we are determining how different two objects are. In this case, how many times longer, taller or deeper an object is than another.
Change - A comparison can also be made between an object before, and then after, a change. Examples of a change include a change in height of a flower due to growth.
Common misconception
Manipulating equations can result in errors.
To find a missing factor, we can use known facts where applicable, or we can divide the product by the known factor. Always encourage children to describe each part of the equation and what it represents.
To help you plan your year 5 maths lesson on: Use knowledge of multiplication and division to solve comparison and change problems, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 5 maths lesson on: Use knowledge of multiplication and division to solve comparison and change problems, 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 Compare and describe measurements using knowledge of multiplication and division unit, dive into the full primary maths curriculum, or learn more about lesson planning.
Licence
Prior knowledge starter quiz
6 Questions
Q1.One fifth times the value of £450 is
Q2.A tree is six times the height it was when it was planted. It was 1 m 20 cm when it was planted. How tall is it now in metres and centimetres?
Q3.Sam has saved £10.50 Jacob has one tenth times the money that Sam has. How much money does Jacob have?
Q4.Dividing 770 ml by 7 is the same as mulitplying by which fraction?
Q5.Alex can run 100 m in 30 seconds. A cheetah can run this far in one fifth of the time it takes Alex. The cheetah takes seconds to run 100 m.
Q6.The dolls house door is $${1}\over{10}$$ the height of a real door. The height of a real door is 2 m. What is the height of the dolls house door in cm?
Assessment exit quiz
6 Questions
Q1.Jacob has a netball that has a mass of 500 g and a tennis ball that is one quarter of the mass of the netball. Does this bar model represent this?

Q2.Jacob has a netball that has a mass of 500 g and a tennis ball that is one quarter of the mass of the netball. The mass of the tennis ball is g
Q3.The jug contains a 1 l 500 ml volume of water. This is 3 times the 500 ml volume of water in the glass. Which equations represent this?
Q4.A flight to America takes 12 hours. A flight to Spain takes 3 hours. How many times as long is a flight to America than a flight to Spain?
Q5.Lucas is saving to buy a new games console. He needs £240. He currently has £30. He needs times his current amount to buy the new console.
Q6.Lucas is saving to buy a new games console. He needs £240. He currently has £30. How much more money does he need to save? Does this bar model represent this problem?
