Introduction

Build up the three/six/nine times table; using different structures/interpretations of multiplication and division, solve problems related to these tables; explore connections between the three, six and nine times tables.

Teaching points

• Teaching point 1: Counting in multiples of three can be represented by the three times table. Adjacent multiples of three have a difference of three. Facts from the three times table can be used to solve multiplication and division problems with different structures.
   
• Teaching point 2: Counting in multiples of six can be represented by the six times table. Adjacent multiples of six have a difference of six. Facts from the six times table can be used to solve multiplication and division problems with different structures.
   
• Teaching point 3: Products in the six times table are double the products in the three times table; products in the three times table are half of the products in the six times table.
   
• Teaching point 4: Counting in multiples of nine can be represented by the nine times table. Adjacent multiples of nine have a difference of nine. Facts from the nine times table can be used to solve multiplication and division problems with different structures.
   
• Teaching point 5: Products in the nine times table are triple the products in the three times table. Products that are in the three, six and nine times tables share the same factors.
   
• Teaching point 6: Divisibility rules can be used to find out whether a given number is divisible (to give a whole number) by three, six or nine.