Project Maths - Higher Level

Having completed this course students will be able to:


Describe the concepts of probability

Understand outcomes of random processes

Describe statistical reasoning with an aim to becoming a statistically aware consumer

Find, collect and organise data

Represent data graphically and numerically

Analyse, interpret and draw inferences from data

Develop synthesis and problem-solving skills

Determine the slope of a line given it’s equation

Find the equation of a line perpendicular to a given line and passing through a given point

Compute the angle between two given lines

Determine the equation of a circle having a given centre and radius

Find the equation of a tangent to a given circle at a specified point

Find distance and angle using Sine and Cosine Rules

Find length of an arc and area of a sector using circular measure

Solve the trigonometrical equations sin(x) = r and cos(x) = r in general form

Determine the sum of an arithmetic series

Determine the sum of a geometric series

Work out the repayment on a loan

Work out the future value of an investment

Represent a complex number in polar form

Use De-Moivres Theorem to simplify an expansion

Solve linear simultaneous equations with 3 unknowns

Factorise expressions of order 2 and 3

Search for roots of cubic equations and solve them

Solve one linear equation and one equation of order 2 with two unknowns

Solve basic inequalities

Solve inequalities involving fractions

Basic Differentiation of functions (including trig, exp and log)

The rules of differentiation (product rule, quotient rule, chain rule)

Determine the local maxima and local minima turning points of a curve

Understand rate of change of distance, area and volume

Understand the meaning of ‘anti-derivative’ and Indefinite Integration

Basic Integration of algebraic functions

Basic Integration of Trigonometrical and Exponential functions

How to use integration to find an area and use of the Trapezoidal Rule

All Alison courses are free to study. To successfully complete a course you must score 80% or higher in each course assessments. Upon successful completion of a course, you can choose to make your achievement formal by purchasing an official Alison Diploma, Certificate or PDF.

Having an official Alison document is a great way to celebrate and share your success. It is:

• Ideal to include with CVs, job applications and portfolios
• A way to show your ability to learn and achieve high results