 # Multiplication as Equal Groups

### The most common situation, and the only one we usually start with, is multiplication as repeated addition:  ### Another sub-type of the  equal group structure is one that we usually associate with measuring.   ### We can represent this structure using groups, arrays or on a number line as well as in a number sentence. ### When we know the size and number of groups, the problem is multiplication. We know the factors or parts, what we are looking for is the product or the whole amount. E.g.: ### When we know the product but we don’t know one of the factors or parts,  the problem becomes a  missing factor  multiplication or division situation. E.g.:  # Division as Equal Groups

### When we are sharing a known number of items between a known number of groups, we are performing partition division. We are finding how many items in each group.  ### When we are grouping a known number of items, and we know how many are  to be in each group, we are performing quotition division. We are finding how many groups we can make.  ### Videos #### Multiplication and Division – Sharing (Partition) and Grouping (Quotition) ### Activities   ### Rainforest Maths   ### eBooks    ### References and other useful resources

Booker, G., Bond, D., Sparrow, L., & Swan, P. (2014). Teaching primary mathematics. Pearson Higher Education AU.

Haylock, D. (2010). Mathematics explained for primary teachers. London: Sage Publications.

Walle, J. Van de, Karp, K., & Bay-Williams, J. (2014). Elementary and middle school mathematics: Teaching developmentally. Pearson Education.

NZ Maths Teaching Multiplication and Division – Revised Edition

The Improving Mathematics Education in Schools (TIMES) Project