Please note: This site contains links to websites not controlled by the Australian Government or ESA. Read more in the Terms of Use.

Go to website

reSolve: Multiplication – Cartesian product

This sequence of two lessons introduces the idea of multiplication as a Cartesian product, using the language of 'for each'. Students learn to use a tree diagram to find the number of possible combinations that can be made in an animal mix-and-match book. They learn how a simpler problem can be used to help solve a larger, more complex problem. Students then design an avatar that has two or three different features and work as a class to find the total number of possible avatars. They look at how all combinations can be represented as an array and learn how to create a tree diagram. Each lesson is outlined in detail including curriculum links, vocabulary, materials needed, sample answers, discussion points and student resources. This sequence is part of the reSolve: Mathematics by Inquiry program.

Resource details
Year level
Year 4
Purpose
Teaching resource
Strand
Number
Topic
Multiplication and division
Audience
Teachers
Format
Downloadable resource
Australian Curriculum code
AC9M4A02 AC9M4N06
Numeracy progression
Multiplicative strategies (P6, P7) Additive strategies (P8) Number and place value (P7)
Publisher
reSolve Maths by Inquiry
Copyright
© Australian Government Department of Education, Skills and Employment 2021. Creative Commons BY-NC-SA 4.0.
Keywords
division combinations