Further Equations and Graphs (Year 11 Higher)

Solve: to find a value we can put in place of a variable that makes the equation true.    

Solution: a value, or values, that satisfies the equation  

Expression: Numbers, symbols and operators (such as + or - grouped together that show the value of something.) (None of these signs: = ≠ < > ≤ )  

Equation: A Mathematical statement that two things are equal  

Expanding brackets: involves multiplying every term inside the bracket by the term on the outside. (Multiplying out). Then collect like terms with the aim of removing the bracket(s). 

Turning point: of a quadratic graph is its minimum point or its maximum point.

Sketching quadratic graphs: is slightly different to plotting quadratic graphs. A sketch shows the key points (the roots, the y-intercept and the turning point).

Quadratic Formula: is a formula that provides the solutions to quadratic equations. 

Completing the square: is a really useful method for solving quadratic equations and identifying the turning point of a quadratic.