Problem solving using knowledge of the composition of powers of 10
Lesson details
Learning outcome
I can solve problems using knowledge of the composition powers of 10
Key learning points
- An understanding of the composition of the powers of 10 supports us when we solve problems.
- If we know one-quarter of 1,000 is 250, we know one-quarter of 1,000 thousands (1,000,000) is 250 thousands (250,000)
- Just as with smaller numbers, word problems can be represented visually as a bar model.
- A bar model supports us to form an equation to then solve.
Keywords
Million - One million is composed of 1,000 thousands. One million is written as a one followed by six zeros.
Common misconception
Children may misinterpret a word problem especially where they are insecure on the key words such as 'difference' or 'how much more'.
Teacher should model own thoughts when problem solving and encourage children to represent the word problems in a bar model. Construct bar models alongside a retelling of the problem so children can see where the mathematics is found.
Teacher tip
Encourage children to visualise each problem - talk about what they see in their heads when they visualise it. Children will need to be confident in unitising and be able to relate the composition of 1,000 and 10,000 to 1 million and 10 million.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Look at the bar model and complete the sentence. Each part has a value of ___
Q2.Look at the bar model and complete the sentence. Each part has a value of ___
Q3.Complete the sentence. is one-tenth of 1,000
Q4.Look at the bar model. Which equations can be formed from the bar model?
Q5.Laura thinks of a number. She says, “One-tenth of my number is 200”. What number is Laura thinking of?
Q6.A and B represent different numbers on the number line. What is the difference between the two numbers?
Assessment exit quiz
6 Questions
Q1.Complete the sentence. If 250 is one-quarter of 1,000 then must be one-quarter of 1,000 thousands.
Q2.If 2,000 is a fifth of 10,000 and 20,000 is a fifth of 100,000 then is one-fifth of 1,000,000
Q3.A detached house sells for £1,000,000 and a terrace house sells for one-fifth times this amount. How much does the terrace house sell for? The terrace house sells for £
Q4.A detached house sells for £1,000,000 and a terrace house sells for one-fifth times this amount. How much more does the detached house sell for? The detached house is £ more.
Q5.A detached house sells for £1,000,000
This is one-tenth of what a castle sells for. How much does the castle sell for? The castle sells for £
Q6.A detached house sells for £1,000,000
This is one-tenth of what a castle sells for. How much more expensive is the castle? The castle is £ more.
To help you plan your 6 maths lesson on: Problem solving using knowledge of the composition of powers of 10, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 6 maths lesson on: Problem solving using knowledge of the composition of powers of 10, 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 Understand place value within numbers with up to 7 digits unit, dive into the full primary maths curriculum, or learn more about lesson planning.