Divide decimal fractions by 1-digit numbers using written methods
Lesson details
Learning outcome
I can explain how to use written methods to divide decimal fractions by 1-digit numbers.
Key learning points
- Use scaling to convert the decimal fraction to a whole number; after dividing, use scaling to adjust the answer.
- Short division can be used to divide; the decimal point in the answer must be aligned with that in the decimal fraction.
- Estimation should be used to sense-check answers.
Keywords
Estimation - When we estimate, we find a value that is close enough to the right answer, usually with some thought or calculation involved.
Scaling - Scaling is when a given quantity is made ___ times the size. It can be used to adjust the size of a factor. In this lesson, scaling will involve making values 10 or 100 times the size.
Common misconception
The short division algorithm may not be correctly aligned.
Check that the decimal point aligns in the decimal fraction and the answer.
Teacher tip
Provide additional scaffolds for those children who are not secure with their times tables. Revisit the short division algorithm prior to the lesson with whole numbers to support children to make connections.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Match the equation to its answer.
64
87
45
54
239
Q2.Match the equation to its answer.
23
20.3
2.03
20.03
203
Q3.Round 8.4 to the nearest whole number.
Q4.Calculate this using short division 51 ÷ 3 =
Q5.Calculate this using short division 552 ÷ 3 =
Q6.Lucas has £438 and Sofia has one-sixth times this amount. How much money does Sofia have? £
Assessment exit quiz
6 Questions
Q1.Calculate 55.6 ÷ 4 =
Use scaling to convert 55.6 into a whole number first.
Q2.Which of these would be the most sensible estimate to check if this calculation is correct? 55.6 ÷ 4 = 13.9
Q3.Calculate 76.5 ÷ 5 =
Q4.Calculate 5.16 ÷ 4 =
Q5.Lucas has 7.8 m string. He cuts this into three equal pieces. How long is each piece? m
Q6.Sofia has £34.65 Lucas has one-fifth times this amount. How much does Lucas have? £
To help you plan your 5 maths lesson on: Divide decimal fractions by 1-digit numbers using written methods, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 5 maths lesson on: Divide decimal fractions by 1-digit numbers using written methods, 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 Calculating with decimal fractions unit, dive into the full primary maths curriculum, or learn more about lesson planning.