## Basic Algebra

## What do we know?

**Foundation Mathematics **

In the Bar Model Method, we often use the following basic mathematics:

1. *Euclidean Division Algorithm* to model the mathematical situations involving “*cycle*” and “*remainder*”.

2. *Distributive Law* to deal with distributive property situations and make mathematical deductions.

3. *Euclidean Algorithm* for finding the *Greatest Common Unit* – *Unitary Method*.

4. *Algebraic Relations* for corresponding mathematical relations between objects.

**Basic Algebraic Skills**

With bar models, we are able to visualise and solve algebraic relations using

1. Simple *Arithmetic Operations* for direct computations

2. Easy *Algebraic Manipulations* of the two simultaneous situations :

*Sum-Difference, Sum-Multiple, Difference-Multiple *

3. Intuitive *Algebraic Manipulations* for *overlapping* and *non-overlapping* situations.