Algebra

Look at how to plot in all four quadrants of a graph and draw straight lines. We can determine information about the gradient and position of the lines, such as if they are parallel or perpendicular.

Quadratic, cubic and exponential graphs are three different types of curved graphs. We can use them to solve equations relating to the graph.

Algebra is very useful in the modern world where mathematics is used extensively. This includes expanding brackets, collecting terms and substituting into formulae.

Solve, form and manipulate algebraic expressions including simplifying and rearranging equations. Solve using trial and improvement.

Factorising is a way of writing an expression as a product of its factors using brackets. We do this by taking out any factors that are common to every term in the expression.

Quadratics in algebra have many and varied uses, most notable of which is to describe projectile motion. Form and manipulate quadratic equations and solve them by a variety of means.

Sequences can be linear, quadratic or practical and based on real-life situations. Finding general rules for sequences helps find terms in sequences that would otherwise take a long time to work out.

Functions of graphs can be transformed to show shifts and reflections. Graphic designers and 3D modellers use transformations of graphs to design objects and images.

Algebra is one of the most powerful tools in mathematics. Without algebra, we would not have modern computer technology, medical advances or aeroplane travel as we know it today.

Simultaneous equations require algebraic skills to find the value of unknowns within two or more equations that are true at the same time.