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Project Maths - Ordinary Level Free Course

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  • Description
  • Outcome
  • Certification
  • This course is for students interested in studying the Project Maths Ordinary Level Course in its entirety. This free online course provides students with videos on all the Ordinary Level topics in one location listed by module and topic. In addition, a comprehensive assessment is provided which tests learners on the entire content of the Project Maths Ordinary Level Syllabus. These topics include Probability and Statistics, Geometry and Trigonometry, Numbers and Shapes, Algebra, Functions and Calculus.




  • 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 passing through two given points

    Find the equation of a line passing through two given points

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

    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

    Determine the area of a triangle given the lengths of two sides and the included angle


    Determine the sum of an arithmetic series

    Determine the sum of a geometric series

    Work out the profit made on a sale

    Work out the income tax paid on the gross pay

    Multiply and divide complex numbers

    Work out the areas and volumes of well known shapes and solids


    Solve linear simultaneous equations with 2 unknowns

    Factorise expressions of order 2

    Form quadratic equations with given roots

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

    Solve basic inequalities

    Interpret the solutions of simple simultaneous equations



    Basic Differentiation of functions

    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

    Use slope to determine the nature of a function

    How to use the Trapezoidal Rule to find area

  • 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 share your success. Plus it’s:

    • Ideal for including in CVs, job applications and portfolios
    • An indication of your ability to learn and achieve high results
    • An incentive to continue to empower yourself through learning
    • A tangible way of supporting the Alison mission to empower people everywhere through education.

Modules List( 15 )
  • PROJECT MATHS - ORDINARY LEVEL
  • Module 1: Counting and Probability
    • Arrangements
    • Expected Value
    • Probability of simple events
    • Probability of compound events
    • Independent events
    • Probability using tree diagrams
    • Probability trees with and without replacement
    • Simple Bernoulli Trials
    • Bernoulli Trials - Part 2
  • Module 2: Statistics
    • Cumulative frequency and the Ogive
    • Cumulative frequency, quartiles and the inter-quartile range
    • Mean of grouped frequency tables
    • Constructing a stem and leaf diagram
    • Comparative stem and leaf diagram
    • Histograms - Understanding that area gives frequency
    • Statistical correlation
    • Measuring correlation - Pearson's Correlation Coefficient
    • Using Excel to calculate Pearson's Correlation Coefficient
    • Using Excel to find Pearson's Correlation Coefficient, using the inbuilt function
  • Module 3: Synthetic Geometry
    • Properties of Shapes
    • Geometric reasoning - Part 1
    • Geometric reasoning - Part 2
    • Geometric reasoning - Part 3
  • Module 4: Coordinate Geometry
    • Geometry with coordinates
    • Equation of a straight line
    • Parallel lines
    • Perpendicular lines
    • The graphs of y=kx^n
    • Translation of functions
    • Reflection of functions
    • Stretching functions
    • General transformation of functions
    • Equation of a circle 1 - Centre (0,0)
    • Equation of a circle 1 - Centre not (0,0)
    • Diameter of a circle
    • Tangent and normal to a circle
  • Module 5: Trigonometry
    • Finding angles with sine ratio
    • Finding sides with the sine ratio
    • Finding angles with the cosine ratio
    • Finding sides with the cosine ratio
    • Finding angles with the tangent ratio
    • Finding sides with the tangent ratio
    • Finding a missing side with the Sine Rule
    • Finding a missing angle with the Sine Rule
    • Problem solving with the Cosine Rule
    • Finding areas with trigonometry
    • Area of a segment
  • Module 6: Number Systems
    • Large numbers in standard form
    • Changing decimals to standard fom
    • Changing large numbers from standard form
    • Changing small numbers from standard form
    • Adding and multiplying simple powers
    • Working with indices
    • Negative indices
    • Fractional indices, numerator of 1
    • Index power equal to 0
    • Positive fractional indices all types
    • Negative fractional indices
    • Writing index numbers as a power of 2
    • Quadratic number patterns
    • Arithmetic series
    • Geometric series
    • Rational or irrational
    • Manipulating complex numbers and the complex conjugate
    • The Argand Diagram and Modulus
    • The meaning of i
    • Patterns with imaginary numbers
  • Module 7: Arithmetic - Financial Maths
    • Profit, markup and margin
    • Calculating profit with special offers
    • Percentage loss - Part 1
    • Percentage loss - Part 2
    • Simple interest – Calculating the interest
    • Simple interest – Calculating the rate
    • Simple interest – Calculating the principal
    • Simple interest – Calculating the period
    • Percentage changes using multipliers
    • Reverse percentages and VAT
    • Introducing compound interest
    • Compound interest and Annual Equivalent Rate
    • Compound interest APR with credit cards
    • Depreciation
    • Calculating APR
    • Calculating monthly interest from APR – 2 methods
    • Income tax, USC and PRSI
    • Net pay/Take home pay
  • Module 8: Length, Area and Volume
    • Circumference of a circle
    • Area of a circle
    • Finding radius and diameter of a circle from its perimeter
    • Finding radius and diameter from area of circle
    • Area of trapezium
    • Area of acute angled triangles
    • Area of obtuse angled triangles
    • Area of parallelogram
    • Area of rectangles
    • Area Compound Shapes (rectangles)
    • Area of compound shapes
    • Area of Compound shapes (Triangles)
    • Volume and surface area
    • Sectors and arcs
    • Area of a segment
    • Volume of compound solid
  • Module 9: Complex Numbers
    • Manipulating complex numbers and the complex conjugate
    • The Argand Diagram and Modulus
    • The meaning of i
    • Patterns with imaginary numbers
  • Module 10: Expressions and Formulae
    • Factorising quadratics
    • Factorising – Difference of two squares
    • Expanding brackets (grid method)
    • Expanding brackets (FOIL method)
    • Expanding any two brackets
    • Rearranging simple formulae
    • Rearranging simple formulae - 2 steps
    • Rearranging formulae with squares and square roots
    • Rearranging formulae new subject appearing twice
  • Module 11: Solving Equations
    • Equations with linear functions in the denominator
    • Quadratic equations using the formula
    • Quadratic equations non unitary x squared
    • Quadratic equations both brackets the same sign
    • Quadratic equations brackets with different signs
    • Quadratic equations that have to be rearranged
    • From roots to functions
    • Solving simultaneous equations graphically
    • Simultaneous equations both negative signs
    • Simultaneous equations negative and positive signs
    • Simultaneous equations both positive
    • Equations with indices
    • Non-linear simultaneous equations
  • Module 12: Inequalities
    • Finding inequalities from shaded regions
    • Solving linear inequalities with fractions
  • Module 13: Functions
    • Plotting quadratic graphs from table of values
    • Plotting cubic graphs from table of values
    • Plotting reciprocal graphs from table of values
    • Plotting exponential graphs from table of values
    • Matching equations and sketches
    • Matching functions and graphs – quadratic / exponential
    • Translation of functions using f(x-a)
    • Translating of functions using f(x)+a
    • Sketching functions in x direction
    • Sketching functions in the y direction
    • The Discriminant
  • Module 14: Calculus - Differentiation
    • Basic differentiation of y = x^n
    • Differentiation of polynomials
    • Equation of a tangent
    • Equation of a normal
    • General differentiation of x^n
    • Second derivative
    • Differentiation of tangents
    • Differentiating products and quotients
    • Differentiation and rates of change
    • The Chain Rule
    • The Product Rule
    • The Quotient Rule
    • Applications of differentiation 1 (displacement / velocity / acceleration)
    • Applications of differentiation 2 (voltage / current)
    • Differentiation and turning points
    • Maximum volume of box
    • Differentiation and matching graphs
  • END OF COURSE ASSESSMENT
  • Module 15: Project Maths - Ordinary Level Assessment
    • Project Maths - Ordinary Level Assessment
Topics List ( 4 )
Module 3: Synthetic Geometry
Learn more about synthetic geometry.
Topics List ( 2 )
Module 12: Inequalities
Learn more about inequalities.
Topics List ( 1 )
Module 15: Project Maths - Ordinary Level Assessment
You must score 80% or more to pass this assessment.
Course Features
  • Duration

    10-15 Hours

  • Publisher

    Advance Learning

  • Video

    Yes

  • Audio

    Yes

  • Assessment

    Yes

  • Certification

    Yes

  • Price

    Free

  • Reward

    50 Pts

  • Responsive

    No

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