Divisibility tests for 6 and 9
Lesson details
Learning outcome
I can identify and explain whether a number is or is not a multiple of a given integer.
Key learning points
- A number is a multiple of 6 if and only if it also is a multiple of 2 and 3.
- For any multiple of 9 the sum of its digits is also a multiple of 9.
Keywords
Divisibility - Divisibility is a number’s ability to be exactly divided by another number, leaving no remainder.
Common misconception
Incorrectly summing the digits to identify a multiple of 3 or 9.
Use number bonds to sum large numbers of digits.
Teacher tip
Students could come up to the board and create a class version of the multiple of 9 maze. This will give students the opportunity to think about examples and non-examples to ensure that there is only one route through the maze.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Divisibility is a number’s ability to be:
Q2.A number is a multiple of 3 when the sum of its digits is divisible by
Q3.Match each number with the correct statement.
is divisible by 2 and 3
is divisible by 2
is not divisible by 2 or 3
is divisible by 3
Q4.Is the statement "all common multiples of 2 and 3 are even" sometimes true, always true or never true?
Q5.Is the statement "all common multiples of 3 and 7 are even" sometimes true, always true or never true?
Q6.The number 238 839 239 382.33 has a digit sum of 66. Sofia says it is a multiple of 3. Alex says it is also a multiple of 2. Andeep says it is not a multiple of 2 or 3. Who is correct?
Assessment exit quiz
6 Questions
Q1.All numbers that are divisible by 2 and divisible by 3 are also divisible by 1 and
Q2.Which of these numbers is divisible by 6?
Q3.Which of these numbers is divisible by 6?
Q4.Match the divisibility test with the correct summary.
states the sum of its digits is a multiple of 3
states the digits 0, 2, 4, 6 or 8 must be in the ones column
states the sum of the digits is a multiple of 9
Q5.Jun says 340 is a multiple of 6. Jacob says 312 is a multiple of 6. Lucas says 366 is a multiple of 6. Who is incorrect?
Q6.Which of the following is divisible by both 6 and 9?
To help you plan your 7 maths lesson on: Divisibility tests for 6 and 9, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 7 maths lesson on: Divisibility tests for 6 and 9, 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 3 maths lessons from the Properties of number: factors, multiples, squares and cubes unit, dive into the full secondary maths curriculum, or learn more about lesson planning.