
Free Course

Advance Learning

1015 Hours

Assessment

Certification

50 Pts
Project Maths  Ordinary Level

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 problemsolving 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 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
Modules List( 15 )

PROJECT MATHS  ORDINARY LEVEL

Module
1 Counting and Probability
Learn more about counting and probability.

Arrangements
Start Topic

Expected Value
Start Topic

Probability of simple events
Start Topic

Probability of compound events
Start Topic

Independent events
Start Topic

Probability using tree diagrams
Start Topic

Probability trees with and without replacement
Start Topic

Simple Bernoulli Trials
Start Topic

Bernoulli Trials  Part 2
Start Topic


Module
2 Statistics
Learn more about statistics.

Cumulative frequency and the Ogive
Start Topic

Cumulative frequency, quartiles and the interquartile range
Start Topic

Mean of grouped frequency tables
Start Topic

Constructing a stem and leaf diagram
Start Topic

Comparative stem and leaf diagram
Start Topic

Histograms  Understanding that area gives frequency
Start Topic

Statistical correlation
Start Topic

Measuring correlation  Pearson's Correlation Coefficient
Start Topic

Using Excel to calculate Pearson's Correlation Coefficient
Start Topic

Using Excel to find Pearson's Correlation Coefficient, using the inbuilt function
Start Topic


Module
3 Synthetic Geometry
Learn more about synthetic geometry.

Properties of Shapes
Start Topic

Geometric reasoning  Part 1
Start Topic

Geometric reasoning  Part 2
Start Topic

Geometric reasoning  Part 3
Start Topic


Module
4 Coordinate Geometry
Learn more about coordinate geometry.

Geometry with coordinates
Start Topic

Equation of a straight line
Start Topic

Parallel lines
Start Topic

Perpendicular lines
Start Topic

The graphs of y=kx^n
Start Topic

Translation of functions
Start Topic

Reflection of functions
Start Topic

Stretching functions
Start Topic

General transformation of functions
Start Topic

Equation of a circle 1  Centre (0,0)
Start Topic

Equation of a circle 1  Centre not (0,0)
Start Topic

Diameter of a circle
Start Topic

Tangent and normal to a circle
Start Topic


Module
5 Trigonometry
Learn more about trigonometry.

Finding angles with sine ratio
Start Topic

Finding sides with the sine ratio
Start Topic

Finding angles with the cosine ratio
Start Topic

Finding sides with the cosine ratio
Start Topic

Finding angles with the tangent ratio
Start Topic

Finding sides with the tangent ratio
Start Topic

Finding a missing side with the Sine Rule
Start Topic

Finding a missing angle with the Sine Rule
Start Topic

Problem solving with the Cosine Rule
Start Topic

Finding areas with trigonometry
Start Topic

Area of a segment
Start Topic


Module
6 Number Systems
Learn more about number systems.

Large numbers in standard form
Start Topic

Changing decimals to standard fom
Start Topic

Changing large numbers from standard form
Start Topic

Changing small numbers from standard form
Start Topic

Adding and multiplying simple powers
Start Topic

Working with indices
Start Topic

Negative indices
Start Topic

Fractional indices, numerator of 1
Start Topic

Index power equal to 0
Start Topic

Positive fractional indices all types
Start Topic

Negative fractional indices
Start Topic

Writing index numbers as a power of 2
Start Topic

Quadratic number patterns
Start Topic

Arithmetic series
Start Topic

Geometric series
Start Topic

Rational or irrational
Start Topic

Manipulating complex numbers and the complex conjugate
Start Topic

The Argand Diagram and Modulus
Start Topic

The meaning of i
Start Topic

Patterns with imaginary numbers
Start Topic


Module
7 Arithmetic  Financial Maths
Learn more about arithmetic using financial maths.

Profit, markup and margin
Start Topic

Calculating profit with special offers
Start Topic

Percentage loss  Part 1
Start Topic

Percentage loss  Part 2
Start Topic

Simple interest – Calculating the interest
Start Topic

Simple interest – Calculating the rate
Start Topic

Simple interest – Calculating the principal
Start Topic

Simple interest – Calculating the period
Start Topic

Percentage changes using multipliers
Start Topic

Reverse percentages and VAT
Start Topic

Introducing compound interest
Start Topic

Compound interest and Annual Equivalent Rate
Start Topic

Compound interest APR with credit cards
Start Topic

Depreciation
Start Topic

Calculating APR
Start Topic

Calculating monthly interest from APR – 2 methods
Start Topic

Income tax, USC and PRSI
Start Topic

Net pay/Take home pay
Start Topic


Module
8 Length, Area and Volume
Learn more about length, area and volume.

Circumference of a circle
Start Topic

Area of a circle
Start Topic

Finding radius and diameter of a circle from its perimeter
Start Topic

Finding radius and diameter from area of circle
Start Topic

Area of trapezium
Start Topic

Area of acute angled triangles
Start Topic

Area of obtuse angled triangles
Start Topic

Area of parallelogram
Start Topic

Area of rectangles
Start Topic

Area Compound Shapes (rectangles)
Start Topic

Area of compound shapes
Start Topic

Area of Compound shapes (Triangles)
Start Topic

Volume and surface area
Start Topic

Sectors and arcs
Start Topic

Area of a segment
Start Topic

Volume of compound solid
Start Topic


Module
9 Complex Numbers 
Module
10 Expressions and Formulae
Learn more about expressions and formulae.

Factorising quadratics
Start Topic

Factorising – Difference of two squares
Start Topic

Expanding brackets (grid method)
Start Topic

Expanding brackets (FOIL method)
Start Topic

Expanding any two brackets
Start Topic

Rearranging simple formulae
Start Topic

Rearranging simple formulae  2 steps
Start Topic

Rearranging formulae with squares and square roots
Start Topic

Rearranging formulae new subject appearing twice
Start Topic


Module
11 Solving Equations
Learn more about solving equations.

Equations with linear functions in the denominator
Start Topic

Quadratic equations using the formula
Start Topic

Quadratic equations non unitary x squared
Start Topic

Quadratic equations both brackets the same sign
Start Topic

Quadratic equations brackets with different signs
Start Topic

Quadratic equations that have to be rearranged
Start Topic

From roots to functions
Start Topic

Solving simultaneous equations graphically
Start Topic

Simultaneous equations both negative signs
Start Topic

Simultaneous equations negative and positive signs
Start Topic

Simultaneous equations both positive
Start Topic

Equations with indices
Start Topic

Nonlinear simultaneous equations
Start Topic


Module
12 Inequalities
Learn more about inequalities.

Finding inequalities from shaded regions
Start Topic

Solving linear inequalities with fractions
Start Topic


Module
13 Functions
Learn more about functions.

Plotting quadratic graphs from table of values
Start Topic

Plotting cubic graphs from table of values
Start Topic

Plotting reciprocal graphs from table of values
Start Topic

Plotting exponential graphs from table of values
Start Topic

Matching equations and sketches
Start Topic

Matching functions and graphs – quadratic / exponential
Start Topic

Translation of functions using f(xa)
Start Topic

Translating of functions using f(x)+a
Start Topic

Sketching functions in x direction
Start Topic

Sketching functions in the y direction
Start Topic

The Discriminant
Start Topic


Module
14 Calculus  Differentiation
Learn more about differentiation.

Basic differentiation of y = x^n
Start Topic

Differentiation of polynomials
Start Topic

Equation of a tangent
Start Topic

Equation of a normal
Start Topic

General differentiation of x^n
Start Topic

Second derivative
Start Topic

Differentiation of tangents
Start Topic

Differentiating products and quotients
Start Topic

Differentiation and rates of change
Start Topic

The Chain Rule
Start Topic

The Product Rule
Start Topic

The Quotient Rule
Start Topic

Applications of differentiation 1 (displacement / velocity / acceleration)
Start Topic

Applications of differentiation 2 (voltage / current)
Start Topic

Differentiation and turning points
Start Topic

Maximum volume of box
Start Topic

Differentiation and matching graphs
Start Topic


END OF COURSE ASSESSMENT

Module
15 Project Maths  Ordinary Level Assessment
You must score 80% or more to pass this assessment.

Project Maths  Ordinary Level Assessment
Start Topic
