Multiplication is more abstract than addition and subtraction. It’s a lot harder to recognise in everyday situations as well as in math problems.

To help introduce students to multiplication many syllabus document, rightly, extend additive thinking into repeated addition and grouping to help make the transition into multiplicative thinking.

Once comfortable, students need to quickly advance into learning multiplicative understanding. This can be achieved by linking repeated addition and the grouping understanding to the Array model.

Below is a sequence that you can use to make sure you have a wide range of resources in your program.

These aspects or progressions of multiplication will help teachers teach multiplication effectively. This list will help make sure one area is not neglected or over taught.

These big ideas of multiplication are also helpful to teachers provide intervention, extension and differentiate teaching programs for the range of abilities of your students.

Please use your professional judgement and syllabus documents to guide you on how you work these big ideas into your programs.

Some students will be able to handle all these ideas at once, some will not.

Also some of these big ideas will be beyond your curriculum, but are a great way to provide extension. And vice versa.

Use your judgement to meet the curriculum and the needs of your students.

Click each heading below for more details.

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