Explain how even and odd numbers can be partitioned
Lesson details
Learning outcome
I can explain how even and odd numbers can be partitioned.
Key learning points
- When a number is partitioned into two parts one part can be odd and one part can be even or both parts are odd or even.
- When an odd number is partitioned into two parts one part is even and the other part is odd.
- When an even number is partitioned into two parts both parts will be odd or both parts will be even.
Keywords
Odd - Any number that cannot be divided exactly by 2 The last digit is 1, 3, 5, 7 or 9
Even - Any number that can be divided exactly by 2 The last digit is 0, 2, 4, 6 or 8
Partition - To split a whole up into parts.
Common misconception
Children may think that even numbers can only be partitioned into even parts and odd numbers into odd parts.
Ensure children have plenty of practical experience of partitioning representations of numbers in different ways and talk about what they notice. Using number shapes and tens frames can help to visualise the patterns.
Teacher tip
Use a variety of representations of numbers to partition different numbers. Discuss whether the parts and the whole are even or odd and how they know. Encourage pupils to talk about what they notice when partitioning numbers and look for patterns leading to a generalisation.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Have the numbers been sorted correctly?
Q2.Which numbers are in the wrong sets?
Q3.Finish this sentence to make it correct. 7 is …
Q4.Finish this sentence to make it correct. 6 is …
Q5.The missing number at a is .
Q6.The missing number at b is .
Assessment exit quiz
6 Questions
Q1.This shows 5 split into two parts. Tick the parts.
Q2.This shows 6 split into two parts. Tick the parts.
Q3.True or false? 5 can be split into two even parts.
Q4.True or false? 6 can be partitioned into two odd parts.
Q5.Which pictures show 7?
Q6.Which pictures show 8?
To help you plan your 1 maths lesson on: Explain how even and odd numbers can be partitioned, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 1 maths lesson on: Explain how even and odd numbers can be partitioned, 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 1 maths lessons from the Composition of numbers 6 to 10 unit, dive into the full primary maths curriculum, or learn more about lesson planning.