Modelling with Straight Lines What is modelling with straight lines? Modelling means applying the mathematics to a real-life situation The model is used to find or predict future values Models will...
Equation of a Straight Line What is the equation of a straight line? y = mx + c is the equation for any straight line m is gradient given by “difference in y” ÷ “difference in x” or dy/dx c is the ...
Parallel & Perpendicular Gradients What are parallel lines? Parallel lines are equidistant meaning they never meet Parallel lines have equal gradients What are perpendicular lines? Perpendicula...
Basic Coordinate Geometry What is basic coordinate geometry? Basic coordinate geometry refers to working with points, lines and shapes on the coordinate axis Cartesian coordinates are simply the x ...
Further Modelling with Functions Assumptions, criticisms and refinements in modelling Modelling is a large part of A level mathematics Assumptions and refinements to models often need to be conside...
Modelling with Functions What is a mathematical model? A mathematical model simplifies a real-world situation so it can be described using mathematics which can then be used to make predictions The...
Squared Linear Denominators Partial fractions In partial fractions the common denominator is split into parts (factors) This is the reverse process to adding (or subtracting) fractions In ha...
Linear Denominators What are partial fractions? This is the reverse process to adding (or subtracting) fractions When adding fractions a common denominator is required In partial fractions t...
Combinations of Transformations What are combinations of graph transformations? When you alter a function in certain ways, the effects on the graph of the function can be described by geometrical t...
