When learning various aspects of numbers (e.g. factors, multiples, prime numbers, lowest common multiples, etc.) and moving from the concrete towards the abstract, the Multiples of Numbers chart is introduced.
By this stage the child has mastered skip counting and for the most part knows their times tables.
The first presentation includes bead chains and arrows.
Ask the child to lay out the chain of five and lay out the arrows. Have the child read the labels. Explain to the child each number has a special name, it is called a multiple. These are the multiples of five.
Ask the child to show you a number, e.g. 35 - ask how many fives are needed to make 35 and count them. Do this again with some other numbers.
On another occasion explain to the student that you are going to make a record of all the multiples of 2.
Starting at 1, count 1,2 and circle 2 with a coloured pencil (I like to stay with the bead colours) and continue 1,2 and circle 4 and so forth until you reach 100.
Once the child has done a single page for each number over time and has had a lot of practice, she can then go on to do multiples of numbers for two different numbers on the one sheet.
Eventually the child will build up to finding the multiples for all of the numbers 2 - 10 on one sheet. It is important to leave this exercise until last as you want the child to build up to the discoveries they will make in the relationships between numbers.
You can download the multiples of numbers sheet HERE.