## Foundation Algebra

Algebraic thinking involves finding and describing patterns, making generalizations about numbers, using symbols and models to represent patterns, quantitative relationships, and changes over time. This workshop covers important algebraic concepts which will act as a basic building block to higher mathematics so that you are ready to move on to the next level. The workshop is aimed at building confidence so that you feel comfortable and capable in dealing with algebra and related classes to come.

## Book a place on one of our foundation algebra workshops

**Workshop 1**

A **mathematical expression** refers to when numbers, operators and various symbols are grouped together to 'express' or 'show' the value of something. Once you understand the basic principles of manipulating expressions, you will easily be able to factorise and simplify a variety of different expressions. This workshop explores various ways of doing this by collecting like terms, expanding brackets, factorizing quadratic expressions and learning how to deal with algebraic fractions

- Collecting like terms
- Expanding brackets
- Factorizing quadratic expressions
- Algebraic Fractions

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**Workshop 2**

A knowledge of indices is essential for an understanding of most algebraic processes. In this workshop we will learn about powers and rules for manipulating them. Further, we will explore logarithms and exponentials. A logarithm tells us how many of one number to multiply to get another number, therefore a logarithm actually gives you the exponent as its answer. Exponents and Logarithms work well together because they "undo" each other (so long as the base "a" is the same), as we will see in this workshop.

- Rules of indices
- Exponentials
- Logarithms

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**Workshop 3**

Adding rational expressions and simplifying is relatively easy. However, going the other way round--expressing a single rational function as the sum of two or more simpler ones--is much more difficult. This reverse process is known as resolution into partial fractions. Partial fraction decomposition is a technique used to write a rational function as the sum of simpler rational expressions. This workshop teaches us how to handle partial fractions and denominators with repeated quadratic factors.

- Partial fractions
- Denominators with repeated quadratic factors

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**Workshop 4**

A quadratic equation is a polynomial equation of degree 2. The ''U'' shaped graph of a quadratic is called a parabola. A quadratic equation has two solutions. Either two distinct real solutions, one double real solution or two imaginary solutions. There are several methods we can use to solve a quadratic equation such as solution by factors, solution by completing the square and solution by formula which we will explore in this workshop.

- Quadratic equations
- solution by factors
- solution by completing the square
- solution by formula