Leaving Certificate Project Maths  Ordinary Level  Revised
This free online maths course covers the Irish Junior Certificate (Ordinary Level) Project Maths Syllabus.
Description
This course is for students interested in studying the Project Maths Ordinary Level Course for the Irish Leaving Certificate or just furthering their knowledge and skill in Mathematics. This course provides students with videos on all the Ordinary Level topics in one location listed by module and topic.
The course starts off with teaching the learner about calculating probability and working out the statistics of different math problems/questions. Then it goes into the shape, size, length of sides, angles and relative position of figures/objects with geometry and trigonometry. Along with teaching the learner about arithmetic or financial maths, so you can workout your PRSI, net profit, take home pay and more. The first section then finishes off by teaching you about calculating the length, area and volume of different objects.
The second section starts off with introducing you to algebra and what it is, teaching you about processes need to work out algebraic equations. Next you will learn about solving various different types of algebraic equations working with inequalities. After which you will learn about manipulating complex numbers, the meaning of i and imaginary numbers. In the functions module you will learn about how to solve functions and plot them on graphs. The last module will teach you about working out the differentiation, and the second derivative, along with rules and important formulas for calculus.
Start Course NowModules
Probability

Probability and Statistics  Learning Outcomes

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 2

Probability and Statistics  Lesson Summary
Statistics

Statistics  Learning Outcomes

Cumulative Frequency and The Ogive

Cumulative Frequency, Quartiles and the InterQuartile Range

Mean of Grouped Frequency Tables

Constructing a Stem and Leaf Diagram

Comparative Stem and Leaf Diagram

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 CC, Using the Inbuilt Function

Statistics  Lesson Summary
Synthetic Geometry

Synthetic Geometry  Learning Outcomes

Properties of Shapes

Geometric Reasoning 1

Geometric Reasoning 2

Geometric Reasoning 3

Synthetic Geometry  Lesson Summary
Coordinate Geometry

Coordinate Geometry  Learning Outcomes

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 2  (Centre Not 0,0)

Diameter of a Circle

Tangent and Normal to a Circle

Coordinate Geometry  Lesson Summary
Trigonometry

Trigonometry  Learning Outcomes

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

Trigonometry  Lesson Summary
Numbers

Numbers  Learning Outcomes

Large Numbers in Standard Form

Changing Decimals to Standard Form

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

Numbers  Lesson Summary
Arithmetic

Arithmetic  Learning Outcomes

Percentage Profit, Markup and Margin

Calculating Profit with Special Offers

Percentage Loss 1

Percentage Loss 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 APR with Credit Cards

Compound Interest and Annual Equivalent Rate

Depreciation

Calculating APR

Calculating Monthly Interest From APR – 2 Methods

Income Tax, USC and PRSI

Net Pay / Take Home Pay

Arithmetic  Lesson Summary
Length, Area and Volume

Length, Area and Volume  Learning Outcomes

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

Length, Area and Volume  Lesson Summary
Leaving Certificate Project Maths  Ordinary Level  First Assessment
Algebra

Algebra  Learning Outcomes

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

Algebra  Lesson Summary
Solving Equations

Solving Equations  Learning Outcomes

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

Solving Equations  Lesson Summary
Inequalities

Inequalities  Learning Outcomes

Finding Inequalities from Shaded Regions

Solving Linear Inequalities with Fractions

Inequalities  Lesson Summary
Complex Numbers

Complex Numbers  Learning Outcomes

Manipulating Complex Numbers and The Complex Conjugate

The Argand Diagram and Modulus

The Meaning of i

Patterns with Imaginary Numbers

Complex Numbers  Lesson Summary
Functions

Functions  Learning Outcomes

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(xa)

Translating Functions Using f(x)+a

Stretching Functions in x Direction

Stretching Functions in The y Direction

The Discriminant

Functions  Lesson Summary
Calculus  Differentiation

Calculus  Differentiation  Learning Outcomes

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

Using Different Variables

Differentiating Products and Quotients

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

Calculus  Differentiation  Learning Outcomes
Leaving Certificate Project Maths  Ordinary Level  Second Assessment
Course assessment
Learning Outcomes
Upon successful completion of this course you will be able to:
 Solve equations based on probability and statistics
 Identify how to work with synthetic and coordinate geometry
 Solve equations using trigonometry, such as sines, cosines and tangents
 Recognise how to change numbers into standard form
 Calculate percentages, simple and compound interest
 Recognise how to work with shapes to solve equations
 Demonstrate how to solve quadratic equations and equations with indices, including simultaneous equations
 Solve basic inequalities and inequalities involving fractions
 Identify how to work with functions and solve calculusbased equations
Certification
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