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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.
|Year level(s)||Year 4|
|Teaching strategies and pedagogical approaches||Mathematics investigation|
|Keywords||division, combinations, Cartesian product, multiplication|
|Strand and focus||Number, Build understanding, Apply understanding|
|Topics||Multiplication and division|
|AC: Mathematics content descriptions||
ACMNA075 Recall multiplication facts up to 10 × 10 and related division facts
ACMNA076 Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder
|National numeracy learning progression||
reSolve Maths by Inquiry
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