Exam Revision Video & Notes for Junior & Leaving Cert
Exam:
Subject:
Topics for Maths Former Paper I (pre-2012) (Ordinary):
Paul Behan
Video eLesson (33min):
Exam Questions & Answers (13min):
(4418 views)
Q2 - Algebra 2
View Topic »
This Revision Pack looks at:-
• The importance of getting a Quadratic Equation in the form ax2+bx+c=0, and how to recognise and unravel quadratic equations that are disguised.
• How to solve Quadratic Equations and when the “-b” formula has to be used.
• Solving equations with square roots has become an important skill to master and the fundamental methods for dealing with these types of equations are explained.
The EXAM model answers show the student how to maximise their marks, using Leaving Cert questions from previous years. All methods are consistent with those shown in the elesson.
This Revision Pack looks at:-
• The importance of getting a Quadratic Equation in the form ax2+bx+c=0, and how to recognise and unravel quadratic equations that are disguised.
• How to solve Quadratic Equations and when the “-b” formula has to be used.
• Solving equations with square roots has become an important skill to master and the fundamental methods for dealing with these types of equations are explained.
The EXAM model answers show the student how to maximise their marks, using Leaving Cert questions from previous years. All methods are consistent with those shown in the elesson.
Paul Behan
Video eLesson (25min):
Exam Questions & Answers (11min):
(2308 views)
Q2 - Algebra 3
View Topic »
In this Revision Pack learn how to recognise Linear and Non-Linear Equations and how to recognise the two types of simultaneous equations, which are:
• Both equations are linear
• One equation is linear and one is non-linear
Clear and concise methods for solving both types are comprehensively demonstrated.
The EXAM model answers show the student how to maximise their marks, using Leaving Cert questions from previous years. All methods are consistent with those shown in the elesson.
In this Revision Pack learn how to recognise Linear and Non-Linear Equations and how to recognise the two types of simultaneous equations, which are:
• Both equations are linear
• One equation is linear and one is non-linear
Clear and concise methods for solving both types are comprehensively demonstrated.
The EXAM model answers show the student how to maximise their marks, using Leaving Cert questions from previous years. All methods are consistent with those shown in the elesson.
Paul Behan
Video eLesson (32min):
Exam Questions & Answers (09min):
(1920 views)
Q2 - Algebra 4
View Topic »
This RevisionPack looks at the important relationship between roots and factors. Factor theorem is explained using easily understood examples.
A technique for Long Division in Algebra is shown in a step by step manner, beginning with simple quadratic examples and gradually moving up to cubic problems.
A comprehensive explanation follows of how to solve cubic equations and how to solve problems involving cubic expressions.
This RevisionPack looks at the important relationship between roots and factors. Factor theorem is explained using easily understood examples.
A technique for Long Division in Algebra is shown in a step by step manner, beginning with simple quadratic examples and gradually moving up to cubic problems.
A comprehensive explanation follows of how to solve cubic equations and how to solve problems involving cubic expressions.
Paul Behan
Video eLesson (28min):
Exam Questions & Answers (16min):
(1707 views)
Q2 - Algebra 5
View Topic »
This RevisionPack examines Functions and gives a brief overview of how to handle functions (functions are dealt with in detail in the Calculus and Functions modules) followed by a method for solving cubic functions, using the factor theorem.
The Pack also examines Indices Rules for handling indices (powers) plus tips for solving basic equations with powers, gradually advancing to typical
exam-type problems.
The EXAM model answers show the student how to maximise their marks, using Leaving Cert questions from previous years. All methods are consistent with those shown in the elesson.
This RevisionPack examines Functions and gives a brief overview of how to handle functions (functions are dealt with in detail in the Calculus and Functions modules) followed by a method for solving cubic functions, using the factor theorem.
The Pack also examines Indices Rules for handling indices (powers) plus tips for solving basic equations with powers, gradually advancing to typical
exam-type problems.
The EXAM model answers show the student how to maximise their marks, using Leaving Cert questions from previous years. All methods are consistent with those shown in the elesson.
Paul Behan
Video eLesson (34min):
Exam Questions & Answers (12min):
(2864 views)
Q2 - Algebra I
View Topic »
This Video Learning Pack takes a comprehensive overview of how to solve linear equations and linear inequalities. The student is shown how to recognise the difference between equations and expressions.
Some of the main ideas contained in the pack are:
• How to handle equations and
expressions in fraction form
• How to manipulate equations so as
to get one letter on its own
• What is the only difference
between solving equations and
expressions.
The EXAM model answers show the student how to maximise their marks, using Leaving Cert questions from previous years. All methods are consistent with those shown in the elesson.
This Video Learning Pack takes a comprehensive overview of how to solve linear equations and linear inequalities. The student is shown how to recognise the difference between equations and expressions.
Some of the main ideas contained in the pack are:
• How to handle equations and
expressions in fraction form
• How to manipulate equations so as
to get one letter on its own
• What is the only difference
between solving equations and
expressions.
The EXAM model answers show the student how to maximise their marks, using Leaving Cert questions from previous years. All methods are consistent with those shown in the elesson.
Brendan Guildea
Video eLesson (38min):
- View Contents View Contents
- 02:39 complex number - two partssegment.0.159.407.33.1.html
- 03:57 comp. num. - add and subtractsegment.0.237.407.33.1.html
- 05:45 comp. num. - multiplicatrionsegment.0.345.407.33.1.html
- 10:29 on an argand diagramsegment.0.629.407.33.1.html
- 17:31 special multiplicationsegment.0.1051.407.33.1.html
- 22:31 comp. num. - divisionsegment.0.1351.407.33.1.html
- 27:21 modulussegment.0.1641.407.33.1.html
In this video learning pack we look how to:-
Add, Subtract, Multiply and Divide Complex Numbers -
- Argand Diagrams
- Conjugate
- Modulus.
Exam Model Answers are also examined.
Brendan Guildea
Video eLesson (32min):
Exam Questions & Answers (20min):
(1885 views)
Q4 - Complex Numbers II
View Topic »
This Video Learning Pack deals with solving Quadratic Equations where the roots are found in conjugate pairs.
Transformations of Complex Numbers.
More difficult applications of Complex Numbers involving simple Algebra.
Exam Model Answers are also examined.
This Video Learning Pack deals with solving Quadratic Equations where the roots are found in conjugate pairs.
Transformations of Complex Numbers.
More difficult applications of Complex Numbers involving simple Algebra.
Exam Model Answers are also examined.
Brendan Guildea
Video eLesson (39min):
Exam Questions & Answers (22min):
(1944 views)
Q5 - Sequence & Series 1
View Topic »
This Video Learning Pack looks at the difference between sequence and series - Tn and Sn.
The difference between Arithmetic and Geometric.
All the basic ideas behind the topic sequence and series are covered here, leading to - a - and - b - Exam Questions.
This Video Learning Pack looks at the difference between sequence and series - Tn and Sn.
The difference between Arithmetic and Geometric.
All the basic ideas behind the topic sequence and series are covered here, leading to - a - and - b - Exam Questions.
Brendan Guildea
Video eLesson (31min):
Exam Questions & Answers (22min):
(1008 views)
Q5 - Sequence & Series 2
View Topic »
This Video Learning Pack consolidates what was covered in Lesson I.
Also covers the more challenging aspects of the topic including Sn for Arithmetic and Geometric types.
Covers Exam Questions up to and including part - c.
This Video Learning Pack consolidates what was covered in Lesson I.
Also covers the more challenging aspects of the topic including Sn for Arithmetic and Geometric types.
Covers Exam Questions up to and including part - c.
Paul Behan
Video eLesson (32min):
Exam Questions & Answers (16min):
(2041 views)
Q6 - Graphing Functions
View Topic »
In this Video Learning Pack four types of functions are analysed -
1. Linear
2. Quadratic
3. Cubic
4. Rational
This Video Learning Pack shows the student how to construct the function table, generate points and plot the functions.
Use and interpretation of the graph is explained in a clear and
concise fashion, including solutions to past Leaving Cert questions.
The EXAM model answers show the student how to maximise their marks, using Leaving Cert questions from previous years. All methods are consistent with those shown in the elesson. Some solutions demonstrate how the Marking Scheme works.
The pack is closely related to Calculus and Functions.
In this Video Learning Pack four types of functions are analysed -
1. Linear
2. Quadratic
3. Cubic
4. Rational
This Video Learning Pack shows the student how to construct the function table, generate points and plot the functions.
Use and interpretation of the graph is explained in a clear and
concise fashion, including solutions to past Leaving Cert questions.
The EXAM model answers show the student how to maximise their marks, using Leaving Cert questions from previous years. All methods are consistent with those shown in the elesson. Some solutions demonstrate how the Marking Scheme works.
The pack is closely related to Calculus and Functions.
Paul Behan
Video eLesson (31min) Exam Questions & Answers (13min)
(1687 views)
Q6- Functions
View Topic »
This Video Learning Pack takes a step by step lecture on what functions are and how to solve problems with functions.
There are 5 Topics.
1. Definition and Terminology.
2. Sorting out Inputs from Outputs.
3. Disguising Numbers as Letters.
4. Handling Algebraic Inputs.
5. Periodic Functions.
Model Answers to Exam Questions are covered comprehensively.
This Video Learning Pack takes a step by step lecture on what functions are and how to solve problems with functions.
There are 5 Topics.
1. Definition and Terminology.
2. Sorting out Inputs from Outputs.
3. Disguising Numbers as Letters.
4. Handling Algebraic Inputs.
5. Periodic Functions.
Model Answers to Exam Questions are covered comprehensively.
Paul Behan
Video eLesson (25min):
- View Contents View Contents
- 00:05 Introductionsegment.0.5.376.33.1.html
- 00:13 Plotting Points on the Coordinated planesegment.0.13.376.33.1.html
- 02:15 Midpoint of a line Segmentsegment.0.135.376.33.1.html
- 03:31 Problem 1segment.0.211.376.33.1.html
- 04:35 Problem 2segment.0.275.376.33.1.html
- 06:51 Problem 3segment.0.411.376.33.1.html
- 08:35 Distance between two pointssegment.0.515.376.33.1.html
- 09:39 Problem 1segment.0.579.376.33.1.html
- 11:49 Problem 2segment.0.709.376.33.1.html
- 14:53 Slope of a Linesegment.0.893.376.33.1.html
- 18:34 Problem 1segment.0.1114.376.33.1.html
- 20:46 Problem 2segment.0.1246.376.33.1.html
- 23:57 Problem 3segment.0.1437.376.33.1.html
- 27:59 Problem 4segment.0.1679.376.33.1.html
- 30:18 Problem 5segment.0.1818.376.33.1.html
- 31:16 Problem 6segment.0.1876.376.33.1.html
- 33:03 Equation of a Linesegment.0.1983.376.33.1.html
- 34:33 Problem 1segment.0.2073.376.33.1.html
- 35:37 Problem 2segment.0.2137.376.33.1.html
- 36:48 Problem 3segment.0.2208.376.33.1.html
- 38:24 Problem 4segment.0.2304.376.33.1.html
- 40:59 Given the Equation of a Line find the Slopesegment.0.2459.376.33.1.html
- 41:15 Method 1segment.0.2475.376.33.1.html
- 41:46 Method 2segment.0.2506.376.33.1.html
- 42:31 Problem 1segment.0.2551.376.33.1.html
- 44:16 Problem 2segment.0.2656.376.33.1.html
- 45:39 Problem 3segment.0.2739.376.33.1.html
- 47:11 Problem 4segment.0.2831.376.33.1.html
- 48:57 Verify a point belongs to a linesegment.0.2937.376.33.1.html
- 49:42 Problem 1segment.0.2982.376.33.1.html
- 50:39 Problem 2segment.0.3039.376.33.1.html
- 51:27 Sample Exam Questionssegment.0.3087.376.33.1.html
- View Contents View Contents
- 00:05 Introductionsegment.1.5.376.33.1.html
- 00:23 Question Review (1-5)segment.1.23.376.33.1.html
- 03:10 Question 1segment.1.190.376.33.1.html
- 05:46 Question 2segment.1.346.376.33.1.html
- 08:34 Question 3segment.1.514.376.33.1.html
- 11:11 Question 4segment.1.671.376.33.1.html
- 18:03 Question 5segment.1.1083.376.33.1.html
Basic Rule - Power Rule, Product and Quotient Rule and Chain Rule.
This Pack includes methods which aid understanding, key notes, exam tips, model answers and interactive pop-up revision questions
Paul Behan
Video eLesson (29min):
- View Contents View Contents
- 00:05 Introductionsegment.0.5.377.33.1.html
- 00:18 Points of Intersectionsegment.0.18.377.33.1.html
- 00:51 Problem 1segment.0.51.377.33.1.html
- 03:05 Problem 2segment.0.185.377.33.1.html
- 05:19 Graphing Linessegment.0.319.377.33.1.html
- 06:25 Problem 1segment.0.385.377.33.1.html
- 08:04 Problem 2segment.0.484.377.33.1.html
- 10:09 Problem 3segment.0.609.377.33.1.html
- 10:56 Problem 4segment.0.656.377.33.1.html
- 14:34 Problem 5segment.0.874.377.33.1.html
- 18:33 Problem 6segment.0.1113.377.33.1.html
- 23:42 Transfomationssegment.0.1422.377.33.1.html
- 24:13 Problem 1segment.0.1453.377.33.1.html
- 26:07 Problem 2segment.0.1567.377.33.1.html
- 27:21 Problem 3segment.0.1641.377.33.1.html
- 30:05 Area of a Trianglesegment.0.1805.377.33.1.html
- 32:18 Problem 1segment.0.1938.377.33.1.html
- 34:35 Problem 2segment.0.2075.377.33.1.html
- 37:29 Problem 3segment.0.2249.377.33.1.html
- 40:55 Problem 4segment.0.2455.377.33.1.html
Deriving from first principles is introduced with more simple Linear Functions building up to more difficult Quadratic Functions.
Exam Model Answers are also examined
Paul Behan
Video eLesson (26min):
Exam Questions & Answers (15min):
(1689 views)
Q8 - Functions & Calculus I
View Topic »
This Video Learning Pack looks at Functions and Calculus and uses clear and concise explanations, calculus is used to analyse functions and the student is shown how to:-
- determine whether a function is increasing or decreasing
- find the local turning points of quadratic and cubic functions
- Find the slope of a function at any value of x
- prove that a rational function has no local maximum or minimum point.
EXAM model answers give the students an insight into how solutions are marked and includes fully worked solutions to previous exam questions. This pack builds on the ideas contained in the Graphing Functions pack.
This Video Learning Pack looks at Functions and Calculus and uses clear and concise explanations, calculus is used to analyse functions and the student is shown how to:-
- determine whether a function is increasing or decreasing
- find the local turning points of quadratic and cubic functions
- Find the slope of a function at any value of x
- prove that a rational function has no local maximum or minimum point.
EXAM model answers give the students an insight into how solutions are marked and includes fully worked solutions to previous exam questions. This pack builds on the ideas contained in the Graphing Functions pack.
Paul Behan
Video eLesson (29min):
Exam Questions & Answers (17min):
(976 views)
Q8 - Functions & Calculus II
View Topic »
Using clear and concise language, and
easy-to-understand methods, the student is shown how to use calculus to analyse tangents to all functions.
In particular the student is shown how to find the:
- slope of a tangent to a function
at any value of x
- coordinates of any point on a
function, given the slope of the
tangent at that point
- equation of a tangent to a function
EXAM model answers give the student an insight into where marks are gained and how to avoid losing marks. Fully worked solutions to previous exam questions are included.
This pack builds on the ideas contained in the Calculus & Functions I pack.
Using clear and concise language, and
easy-to-understand methods, the student is shown how to use calculus to analyse tangents to all functions.
In particular the student is shown how to find the:
- slope of a tangent to a function
at any value of x
- coordinates of any point on a
function, given the slope of the
tangent at that point
- equation of a tangent to a function
EXAM model answers give the student an insight into where marks are gained and how to avoid losing marks. Fully worked solutions to previous exam questions are included.
This pack builds on the ideas contained in the Calculus & Functions I pack.