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# reSolve: Bar Model Method: Introduction

This sequence of lessons introduces students to the Singapore Bar Model allowing them to visualise quantities in a problem. Students learn how to construct a model that represents the quantities in a given context. The sequence demonstrates part-whole and comparison models for whole numbers and fractions. It is recommended that these lessons are completed as a sequence. There is an overview of the Bar Model and the lessons are outlined in detail including vocabulary, curriculum links, discussion points and further activities. This sequence is part of the reSolve: Mathematics by Inquiry program.

Year level(s) Year 5
Audience Teacher
Purpose Teaching resource
Teaching strategies and pedagogical approaches Mathematics investigation
Keywords whole number, bar model, division, multiplication, subtraction, addition, fractions

## Curriculum alignment

Curriculum connections Numeracy
Strand and focus Number, Build understanding, Apply understanding
Topics Fractions, Addition and subtraction, Multiplication and division, Operating with number
AC: Mathematics (V9.0) content descriptions
AC9M5N06
Solve problems involving multiplication of larger numbers by one- or two-digit numbers, choosing efficient calculation strategies and using digital tools where appropriate; check the reasonableness of answers

AC9M5N05
Solve problems involving addition and subtraction of fractions with the same or related denominators, using different strategies

AC9M5N07
Solve problems involving division, choosing efficient strategies and using digital tools where appropriate; interpret any remainder according to the context and express results as a whole number, decimal or fraction

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

AC9M4N03
Find equivalent representations of fractions using related denominators and make connections between fractions and decimal notation

AC9M4N08
Use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts; formulate the problems using number sentences and choose efficient calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms of the situation

AC9M6N05
Solve problems involving addition and subtraction of fractions using knowledge of equivalent fractions

AC9M6N07
Solve problems that require finding a familiar fraction, decimal or percentage of a quantity, including percentage discounts, choosing efficient calculation strategies and using digital tools where appropriate

Numeracy progression Additive strategies (P8, P9)
Interpreting fractions (P5, P7, P8)
Multiplicative strategies (P6, P7, P9)
Number and place value (P7)
Proportional thinking (P2)
Understanding money (P7, P8)