Use divisibility rules for 2, 3, 4, 5, 6, 8 and 10 times tables to solve problems
Lesson details
Learning outcome
I can use divisibility rules for 2, 3, 4, 5, 6, 8 and 10 times tables to solve problems.
Key learning points
- There are divisibility rules for 2, 4 and 8 which involve halving, halving twice and halving three times.
- Multiples of 10 have a zero in the ones and multiples of 5 have a 5 or a zero in the ones.
- Multiples of 3 have a digit sum of 3
- Multiples of 6 are even numbered multiples of 3
Keywords
Divisible - divisibility is a number’s ability to be exactly divided by another number, leaving no remainder.
Divisibility rules - divisibility rules let you test if one number is divisible by another, without having to do too much calculation.
Common misconception
Pupils may struggle to apply multiple divisibility rules simultaneously.
Have the rules visible, practise applying multiple rules step-by-step to ensure understanding and accuracy.
Teacher tip
The numbers used for the divisibility checks in the first cycle are multiples within the times tables. Children should be familiar and confident in identifying whether numbers are divisible. Encourage discussions regarding the relationship of divisibility between 2, 4 and 8, 5 and 10, 3, 6 and 9
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Match the divisibility rules.
if halving it gives an even value.
if it is divisible by both 2 and 3
if halving a number twice gives an even value.
if the sum of the digits is divisible by 3
Q2.Which statements are true?
Q3.Which statements are not true?
Q4.True or false? 90 is divisible by 6
Q5.Which statements are true?
Q6.True or false. 48 is divisible by 3, 4, 6 and 8
Assessment exit quiz
6 Questions
Q1.Match the divisibility rules
the ones digit is even
the ones digit is 5 or 0
the ones digit is 0
the sum of the digits is divisible by 9
Q2.Which statements are true?
Q3.Which statements are not true?
Q4.True or false. 198 is divisible by 9
Q5.There are 228 competitors at a sports event. They are put into an equal number of teams. How many teams could there be?
Q6.If there are 390 books in the library and they are organised equally onto shelves, how many shelves could there be?
To help you plan your 4 maths lesson on: Use divisibility rules for 2, 3, 4, 5, 6, 8 and 10 times tables to solve problems, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 4 maths lesson on: Use divisibility rules for 2, 3, 4, 5, 6, 8 and 10 times tables to solve 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 7 times table: odd and even patterns, square numbers and tests of divisibility unit, dive into the full primary maths curriculum, or learn more about lesson planning.