Divisibility is when division of a number results in another whole number. A number is divisible by another if it can be shared exactly with no remainder.

A multiple is the result of multiplying a number by another whole number.

Solve problems involving the 3, 6 and 9 times tables

Maths

Explain the relationship between multiples of three and multiples of nine

Explain the relationship between pairs of 3 and 9 times table facts that have the same product

Solve problems using the relationship between 3 and 9 times table

Solve problems using divisibility rules for divisors of 3, 6 and 9

In this unit pupils will explain the relationship between multiples of 3 and multiples of 9 and use it to solve problems.  In the future unit pupils will represent counting in sevens as the 7x table explaining the relationship between adjacent multiples of 7 and knowledge of the 7x table to solve problems 

In the prior unit pupils represented counting in nines as the 9x table explaining the relationship between adjacent multiples of 9. They used known facts from the 10x table to solve problems involving the 9x table.  In this unit pupils will explain the relationship between multiples of 3 and multiples of 9 and use it to solve problems.

In this unit pupils will explain the relationship between multiples of 3 and multiples of 9 and use it, along with the tests of divisibility for the 3-, 6- and 9-times tables, to solve problems.

Relationship between the 3 and 9 times tables

Andeep plays a game. He scored 2 lots of 3 points on the first round. He then scored 2 lots of 9 points in the second round. How many points did he score altogether? {{ }} points.

Izzy plays a game. She scored 3 lots of 3 points on the first round. She then scored 3 lots of 9 points in the second round. How many points did she score altogether? {{ }} points.

It is greater than 410 but less than 420     It is a multiple of 3 and 6  What could the number be?

It is greater than 510 but less than 525     It is a multiple of 3, 6 and 9    What could the number be?

It is greater than 3,340 but less than 3,350
It is a multiple of 3 and 6     What could the number be? 

It is greater than 4,320 but less than 4,330     It is a multiple of 3, 6 and 9     What could the number be?

All multiples of 6 are also multiples of {{ }}

The digit sum of 753 is 15 so it __________.

Select the numbers that are divisible by 9:

A baker has 483 cakes. Select the boxes below to show which boxes he’ll be able to split all cupcakes into equally.

A sweet factory has made 5,166 lollipops. Select the boxes below to show which boxes he’ll be able to split all cupcakes into equally.

Solve problems involving the 3, 6 and 9 times tables

Lesson outcome