Composition of seven-digit numbers
Lesson details
Learning outcome
I can explain how a 7-digit number can be composed.
Key learning points
- Known facts and unitising can be applied when partitioning 7-digit numbers.
- If the missing part is an addend then the other addend is subtracted from the sum
- If the missing part is the subtrahend then the difference is subtracted from the minuend
Keywords
Addend - An addend is a number added to another to give a sum. The addends are the parts.
Minuend - The first number in a subtraction is known as the minuend. It is the whole amount.
Subtrahend - The number that is to be subtracted. The second number in a subtraction.
Common misconception
Children may find it difficult to comprehend that e.g. 1,200,000 may have a digit '2' in the one hundred thousands place but is actually composed of 12 hundred thousands.
Even though the digit in the 100,000s place is a 2, the number 1,200,000 is composed of 12 hundred thousands because one million is composed of 10 hundred thousands.
Teacher tip
Use a place value chart to support children to see the composition of numbers.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.What is the value of the digit ‘3’ in 13,405?
Q2.What is the digit ‘1’ worth in 13,405?
Q3.Complete the sentence: 23,406 is composed of ten thousands.
Q4.Complete the missing number. 23,406 = 20,000 + + 400 + 6
Q5.Aisha scores 2,000 points in a game. Lucas scores 700 points. How many more points does Aisha have? Aisha has more points than Lucas
Q6.Aisha and Lucas score a total of 5,000 points in a game. Lucas scores 3,500 points. How many points does Aisha score? Aisha scores points.
Assessment exit quiz
6 Questions
Q1.One million is composed of:
Q2.Match the expressions that have the same value.
1,000 thousands
100 thousands
100 hundreds
10 hundreds
10 tens
Q3.1,230,902 is composed of hundred thousands.
Q4.Complete: 1,230,902 = + 900 + 2
Q5.Lucas and Aisha play a game. In total they have scored 2,000,000 points. 680,000 points have been scored by Lucas. How many points did Aisha score?
Q6.In his game, Lucas has won 8,000,000 points. He spends some of his points buying new building resources. He has 5,900,000 points left. How many points did he spend?
To help you plan your 6 maths lesson on: Composition of seven-digit numbers, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 6 maths lesson on: Composition of seven-digit numbers, 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 Order, compare and calculate with numbers up to 8 digits unit, dive into the full primary maths curriculum, or learn more about lesson planning.