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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
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Probability and Statistics - Learning Outcomes
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Arrangements
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Expected Value
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Probability of Simple Events
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Probability of Compound Events
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Independent Events
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Probability using Tree Diagrams
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Probability Trees with and Without Replacement
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Simple Bernoulli Trials
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Bernoulli Trials 2
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Probability and Statistics - Lesson Summary
Statistics
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Statistics - Learning Outcomes
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Cumulative Frequency and The Ogive
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Cumulative Frequency, Quartiles and the Inter-Quartile Range
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Mean of Grouped Frequency Tables
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Constructing a Stem and Leaf Diagram
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Comparative Stem and Leaf Diagram
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Understanding that Area Gives Frequency
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Statistical Correlation
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Measuring Correlation - Pearson's Correlation Coefficient
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Using Excel to Calculate Pearson's Correlation Coefficient
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Using Excel to Find Pearson's CC, Using the Inbuilt Function
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Statistics - Lesson Summary
Synthetic Geometry
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Synthetic Geometry - Learning Outcomes
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Properties of Shapes
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Geometric Reasoning 1
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Geometric Reasoning 2
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Geometric Reasoning 3
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Synthetic Geometry - Lesson Summary
Coordinate Geometry
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Coordinate Geometry - Learning Outcomes
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Geometry with Coordinates
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Equation of a Straight Line
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Parallel Lines
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Perpendicular Lines
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The Graphs of y=kx^n
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Translation of Functions
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Reflection of Functions
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Stretching Functions
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General Transformation of Functions
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Equation of a Circle 1 - Centre (0,0)
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Equation of a Circle 2 - (Centre Not 0,0)
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Diameter of a Circle
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Tangent and Normal to a Circle
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Coordinate Geometry - Lesson Summary
Trigonometry
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Trigonometry - Learning Outcomes
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Finding Angles with Sine Ratio
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Finding Sides with the Sine Ratio
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Finding Angles with the Cosine Ratio
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Finding Sides with the Cosine Ratio
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Finding Angles with the Tangent Ratio
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Finding Sides with the Tangent Ratio
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Finding a Missing Side with the Sine Rule
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Finding a Missing Angle with the Sine Rule
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Problem Solving with the Cosine Rule
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Finding Areas with Trigonometry
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Area of a Segment
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Trigonometry - Lesson Summary
Numbers
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Numbers - Learning Outcomes
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Large Numbers in Standard Form
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Changing Decimals to Standard Form
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Changing Large Numbers from Standard Form
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Changing Small Numbers from Standard Form
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Adding and Multiplying Simple Powers
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Working with Indices
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Negative Indices
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Fractional Indices, Numerator of 1
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Index Power Equal to 0
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Positive Fractional Indices All Types
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Negative Fractional Indices
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Writing Index Numbers as a Power of 2
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Quadratic Number Patterns
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Arithmetic Series
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Geometric Series
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Rational or Irrational
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Manipulating Complex Numbers and The Complex Conjugate
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The Argand Diagram and Modulus
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The Meaning of i
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Patterns with Imaginary Numbers
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Numbers - Lesson Summary
Arithmetic
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Arithmetic - Learning Outcomes
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Percentage Profit, Markup and Margin
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Calculating Profit with Special Offers
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Percentage Loss 1
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Percentage Loss 2
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Simple Interest – Calculating The Interest
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Simple Interest – Calculating The Rate
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Simple Interest – Calculating The Principal
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Simple Interest – Calculating The Period
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Percentage Changes Using Multipliers
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Reverse Percentages and VAT
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Introducing Compound Interest
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Compound Interest APR with Credit Cards
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Compound Interest and Annual Equivalent Rate
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Depreciation
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Calculating APR
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Calculating Monthly Interest From APR – 2 Methods
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Income Tax, USC and PRSI
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Net Pay / Take Home Pay
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Arithmetic - Lesson Summary
Length, Area and Volume
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Length, Area and Volume - Learning Outcomes
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Circumference of a Circle
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Area of a Circle
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Finding Radius and Diameter of a Circle From its Perimeter
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Finding Radius and Diameter From Area of Circle
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Area of Trapezium
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Area of Acute Angled Triangles
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Area of Obtuse Angled Triangles
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Area of Parallelogram
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Area of Rectangles
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Area Compound Shapes (Rectangles)
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Area of Compound Shapes
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Area of Compound Shapes (Triangles)
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Volume and Surface Area
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Sectors and Arcs
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Area of a Segment
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Volume of Compound Solid
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Length, Area and Volume - Lesson Summary
Leaving Certificate Project Maths - Ordinary Level - First Assessment
Algebra
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Algebra - Learning Outcomes
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Factorising Quadratics
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Factorising - Difference of Two Squares
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Expanding Brackets (Grid Method)
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Expanding Brackets (FOIL Method)
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Expanding Any Two Brackets
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Rearranging Simple Formulae
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Rearranging Simple Formulae 2 Steps
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Rearranging Formulae with Squares and Square Roots
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Rearranging Formulae New Subject Appearing Twice
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Algebra - Lesson Summary
Solving Equations
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Solving Equations - Learning Outcomes
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Equations with Linear Functions in The Denominator
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Quadratic Equations Using The Formula
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Quadratic Equations Non Unitary x Squared
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Quadratic Equations Both Brackets The Same Sign
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Quadratic Equations Brackets With Different Signs
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Quadratic Equations That Have to be Rearranged
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From Roots to Functions
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Solving Simultaneous Equations Graphically
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Simultaneous Equations Both Negative Signs
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Simultaneous Equations Negative and Positive Signs
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Simultaneous Equations Both Positive
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Equations With Indices
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Non Linear Simultaneous Equations
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Solving Equations - Lesson Summary
Inequalities
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Inequalities - Learning Outcomes
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Finding Inequalities from Shaded Regions
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Solving Linear Inequalities with Fractions
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Inequalities - Lesson Summary
Complex Numbers
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Complex Numbers - Learning Outcomes
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Manipulating Complex Numbers and The Complex Conjugate
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The Argand Diagram and Modulus
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The Meaning of i
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Patterns with Imaginary Numbers
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Complex Numbers - Lesson Summary
Functions
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Functions - Learning Outcomes
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Plotting Quadratic Graphs From Table of Values
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Plotting Cubic Graphs From Table of Values
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Plotting Reciprocal Graphs From Table of Values
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Plotting Exponential Graphs From Table of Values
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Matching Equations and Sketches
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Matching Functions and Graphs – Quadratic / Exponential
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Translation of Functions Using f(x-a)
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Translating Functions Using f(x)+a
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Stretching Functions in x Direction
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Stretching Functions in The y Direction
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The Discriminant
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Functions - Lesson Summary
Calculus - Differentiation
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Calculus - Differentiation - Learning Outcomes
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Basic Differentiation of y = x^n
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Differentiation of Polynomials
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Equation of a Tangent
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Equation of a Normal
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General Differentiation of x^n
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Second Derivative
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Differentiation of Tangents
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Using Different Variables
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Differentiating Products and Quotients
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The Chain Rule
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The Product Rule
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The Quotient Rule
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Applications of Differentiation 1 (Displacement / Velocity / Acceleration)
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Applications of Differentiation 2 (Voltage / Current)
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Differentiation and Turning Points
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Maximum Volume of Box
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Differentiation and Matching Graphs
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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 calculus-based equations
Certification
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