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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.
Additional details |
|
| Year level(s) | Year 4 |
|---|---|
| Audience | Teacher |
| Purpose | Teaching resource |
| Format | Downloadable resources |
| Teaching strategies and pedagogical approaches | Mathematics investigation |
| Keywords | division, combinations, Cartesian product, multiplication |
Curriculum alignment |
|
| Curriculum connections | Numeracy |
| Strand and focus | Number, Build understanding, Apply understanding |
| Topics | Multiplication and division |
| AC: Mathematics (V9.0) content descriptions |
AC9M4A02
Recall and demonstrate proficiency with multiplication facts up to 10 x 10 and related division facts; extend and apply facts to develop efficient mental strategies for computation with larger numbers without a calculator
AC9M4N06
Develop efficient strategies and use appropriate digital tools for solving problems involving addition and subtraction, and multiplication and division where there is no remainder |
| Numeracy progression |
Multiplicative strategies (P6, P7)
Additive strategies (P8) Number and place value (P7) |
Copyright details |
|
| Organisation | reSolve Maths by Inquiry |
| Copyright | © Australian Government Department of Education, Skills and Employment 2021. Creative Commons BY-NC-SA 4.0. |
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