Teaching with Bar Models: Equations and Problem Solving

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Teaching with Bar Models: Equations and Problem Solving

In this course we delve further into bar modelling and look at some classic problems, equations, simultaneous equations and also some key fundamental ideas to aid the understanding of arithmetic.

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An introduction to Bar Models

In this section we will look at bar modelling is a useful device to communicate key ideas in Mathematics.

Introduction

Preview

Part-whole addition and subtraction

Preview

Comparison model for addition and subtraction

Part-whole for multiplication and division

Models summary

Models summary worksheet

Preview

Equations

In this section we will build on the introductory tutorials and look at how communicating the idea of equality can be done using bar modelling.

Simple Linear Equations

More Simple Linear Equations

The Difference Model

Another Look at the Difference Model

Linear Equations Practise Worksheet

Think of a Number

Simultaneous Equations

Simultaneous equations are usually a very abstract idea to grasp and can be learned in a purely procedural way. In this section, we look at using bar models to help pupils grasp this idea at a more conceptual level.

Cows and Chickens

Simple Abstract Simultaneous Equations

Simultaneous equations: Addition only worksheet

Simultaneous Equations with Subtraction

Simultaneous equations: Difference model worksheet

Problem Solving

In this section, we use all of what has been learned thus far to tackle some complex worded problems, showing once again, the power of the bar model.

Marbles in a Box

The Difference Between Two Numbers

Tom, Amit, Nihal and Ben

Changing the Base Unit - Part 1

Changing the Base Unit - Part 2

Cat, Tortoise and Table Worksheet

Cat, Tortoise and Table Worksheet Solution