The course is based on :
Algebra , Geometry , Numeracy , Statistics and Trigonometry
An external SQA exam is sat at the end of the course, with calculator and non-calculator papers.
National 5 Maths Past Papers ScholarSQA National 5 Maths Check List
National 4 Maths National 5 Applications Higher Maths
Key subskills
Working with algebraic expressions involving expansion of brackets.
Factorising an algebraic expression.
Completing the square in a quadratic expression with unitary x2 coefficient
Completing the Square
Functions
Key subskills
Reducing an algebraic fraction to its simplest form.
Applying one of the four operations to algebraic fractions.
Key subskills
Working with algebraic expressions involving expansion of brackets.
Factorising an algebraic expression.
Completing the square in a quadratic expression with unitary x2 coefficient
Recognise and determine the equation of a quadratic function from its graph.
Sketching a quadratic function.
Identifying features of a quadratic function.
Working with quadratic equations.
Quadratic formula.
Discriminant
Quadratic Equations
Key subskills
Working with simultaneous equations.
Key subskills
Determining the equation of a straight line, given the gradient
Key subskills
Calculating the length of arc or the area of a sector of a circle.
Key subskills
Applying the Pythagoras’ theorem.
Applying the properties of shapes to determine an angle involving at least two steps.
Key subskills
Using similarity .
Key subskills
Working with 2D vectors.
Working with 3D coordinates.
Using vector components
.
Key subskills
Calculating the volume of a standard solid.
Key subskills
Working with percentages.
Working with fractions
Key subskills
Round answers to the nearest significant figure or two decimal places .
Key subskills
Working with surds
Simplifying expressions using the laws of indices .
Key subskills
Comparing data sets using statistics.
Forming a linear model from a given set of data.
Key subskills
Calculating the area of a triangle using trigonometry.
Using the sine and cosine rules to find a side or angle.
Using bearings with trigonometry.
Working with the graphs of trigonometric functions
Working with trigonometric relationships in degrees
Trigonometric Graphs and Equations