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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.
|Teaching strategies and pedagogical approaches
|division, combinations, Cartesian product, multiplication
|Strand and focus
|Number, Build understanding, Apply understanding
|Multiplication and division
|AC: Mathematics (V9.0) content descriptions
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
Develop efficient strategies and use appropriate digital tools for solving problems involving addition and subtraction, and multiplication and division where there is no remainder
Multiplicative strategies (P6, P7)
Additive strategies (P8)
Number and place value (P7)
reSolve Maths by Inquiry
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