5th Year Activities - Differentiation

1. http://www.purplemath.com/modules/slopgrph.htm

2. http://www.purplemath.com/modules/slopgrph2.htm

3. http://www.mathsisfun.com/calculus/derivatives-introduction.html

4. http://www.mathopolis.com/questions/q.php?id=6790&site=1&ref=/calculus/derivatives-introduction.html&qs=6790_6791_6792_6793_6794_6795_6796_6797_6798_6799

5. http://www.algebra-class.com/calculating-slope.html

6. The example from class!

7. Have a go!

8. Matching slopes and functions!

9. Unreal madness here.

10. Happy Christmas

Sample Papers - Leaving Cert

Ordinary Level Paper 1

OLP1

Ordinary Level Paper 2

OLP2

Higher Level Paper 1

HLP1

Higher Level Paper 2

HLP2

Problem Solving - Riddle

1.
My life is often a volume of grief, your help is needed to turn a new leaf. Stiff is my spine and my body is pale, but I'm always ready to tell a tale. What am I?

2.Brothers and sisters, I have none but this man's father is my father's son. 
Who am I looking at?

3.You are shown two doors - one leading to hell and the second one to heaven and only the door guards know what is behind the doors. One guard is always lying and the other is always telling the truth (of course, you don't know who is lying). You can ask only one guard one question. 
What question can get you to heaven?



4.
If you had a 5-liter bowl and a 3-liter bowl, and an unlimited access to water, how would you measure exactly 4 liters?



5.
If someone says "I always lie", are they telling the truth? Or are they lying?

Nollaig Shona!

Quadratic Graphing - 3rd Years

Tricky Geometry Problem

Differentiation using first principles

There  is another tutorial available by clicking here.




Mr.Sweeney

3rd Year Quadratic Exam & Solutions

Here is the question and solution for today's examination!

Mr.Sweeney

Constructions

Find all leaving cert constructions here.

Mr.Sweeney

Arithmetic - Percentages - Foreign Exchange - Tax - VAT - Bills

Here are a few questions on all the happy parts of the Junior Cert Higher Level course.

Percentages, Taxes, Arithmetic

Solutions

Best of luck.

Mr.Sweeney

Quadratic Equations

Here are the equations we looked at in class today;

Complete the worksheet by clicking here.

Click here for another one.




Good luck.

Mr. Sweeney

Limits and Continuity

Have a think about limits by reading this article.

You will find a mathematical definition of limits by clicking here.

This webpage explains how to solve simple limits using algebra.

Here are some limits which tend to infinity.


Have a look at this short video.

Good luck.

Mr.Sweeney

UNBELIEVABLE!!!

CLICK HERE FAST!

Tables

MR.SWEENEY

Geometry ( LR )

Polygons

Please click here.

Mr.Sweeney

DCU Talent Search

ARE YOU A TALENTED MATHEMATICIAN?!

DCU are running a talent search. Details are available here.

You can download the application form by clicking here.

Go on - You know you want to!

Graphing Functions - Exam & Solutions

Exam - JCHL - Quadratic Graphs

Marking Scheme - JCHL - Quadratic Graphs

Have a go!

Mr.Sweeney

Quadratic Exam & Solution

Geometry - Congruent Triangles

Explore the concept of a congruent triangle by clicking here.

There is a simpler version of this exercise available by clicking here.

Here is a simple lesson on introducing congruent triangles



See below for a worked out example on how to prove 2 triangles are congruent





Click here to do a quick test!

Best of luck.

Mr.Sweeney.

The Trapezoidal Rule

Please find below a worked out past examination question concerning the trapezoidal rule!








This is a very complicated example for leaving cert higher level only.



Please investigate this topic further by completing the following two activities provided by the Project Maths Development Team; 

 1. Activity 1 

2. Activity 2 

There are further worked out exam questions available here and here.

 Good luck. 

 Mr.Sweeney.

Geometry 1

The word ‘geometry’ comes from the Greek

words ‘geo’, meaning earth, and ‘metria’, 

meaning measure.

Get some practice on the definitions by taking the quiz.

There is a slightly more difficult quiz available here.



This one here is aimed more at leaving cert students.

Click here for further practice.

There is an interactive game available here!


Good luck.

Mr.Sweeney.

Logic

Have a go at these!

1. Simple logic

2.Even more fun

Mr.Sweeney

Quadrilaterals

Complex Numbers Exam and Solutions

Exam

Marking Scheme

Enlargements

Please complete the following interactive tasks.

1. Click here.
2. Click here.
3. Click here.
4. Click here.

Here is an old exam question worked out for you;




Good luck.

Mr.Sweeney.

Axial Symmetry

The Area of a Trapezium

Please click here to investigate the area of a trapezium.

Enjoy.

Mr.Sweeney

Perimeter, Area and Volume

This is an excellent worksheet for the Perimeter, Area and Volume chapter!

Shapes and Vocabulary

Enjoy. Mr.Sweeney

An easy €100 to be won...

Please click here to enter an easy competition and win yourself €100 before Christmas!

Good luck.

Mr.Sweeney.

Perimeter, Area and Volume

Complex Numbers

Good luck.

Mr.Sweeney

Algebra Mindmaps

Here are some of the mind maps recently completed by the 5th years.

Well done.

Now try this quiz!

Mr.Sweeney

Quadratic Graphs - 3rd Years 2013

Here is the one from the exam today!

Here is the 2014 Sample Question;

Mr. Sweeney

Probability

Have a go at this simple worksheet on probability.

I have included answers on the sheet also.

Good luck.

Mr.Sweeney.

Probability - Kieran Sweeney - Worksheet

Quadratic Functions

Mr.Sweeney

Absolute Value

What is going on?

This graph is absolutely mental!

Enjoy.

Mr.Sweeney

INTEGRATION - Finding the area under a curve!

LEAVING CERT HIGHER LEVEL ONLY! GOOD LUCK. MR. SWEENEY

Quadratic Graphs

Can you write down the equations for these quadratic graphs?

Here is a worked out example from class.

Quadratic Graphs

Please practice these common examination questions further by clicking here.

There is more practice available here.

Good luck.

Mr.Sweeney.

Basic Integration / Anti-Differentiating / The Anti-Derivative

Basic Integration

Some worked out problems to get you started....

Good luck.

Mr.Sweeney.

5th Year Revision Resources

1. http://ie.ixl.com/math/year-5

2. http://ie.ixl.com/math/year-3/solve-simultaneous-equations-using-elimination-word-problems

3. http://ie.ixl.com/math/year-5/solve-logarithmic-equations-ii

4. http://ie.ixl.com/math/year-5/simplify-radical-expressions-using-conjugates

5. http://ie.ixl.com/math/year-5/solve-non-linear-simultaneous-equations

6. http://ie.ixl.com/math/year-5/solve-a-quadratic-equation-using-the-quadratic-formula

7. Don't forget these!


Systems of three variables: Systems of Three Variables
Mr.Sweeney.

Junior Cert - Higher Level - Sample Paper - 2014

Here is half the question worked out! You get the other half done!




Enjoy.

Mr.Sweeney.

Slopes!

Cubic Equations

Some practice on today!

Enjoy.

Mr.Sweeney

Relationship between differentiation and integration?

Sample Exam Papers

2014 LC 2

2014 JC 1

2014 JC 2

2014 JC 2

2014 LC 1

Good luck. Mr.Sweeney.

LEAVING CERT HIGHER LEVEL STUDENTS

Please register as soon as possible with

http://alison.com/maths/

It is an excellent site and is fully free of charge. Don't miss out. 

Good luck.

Mr. Sweeney.

Simplifying Quadratic Fractions

Expanding brackets

Here are two examples from class ! 

Enjoy.

Mr. Sweeney. 

Reciprocals!

Find out some basic information of reciprocals here.

Here is a worked out example!

Enjoy.

Mr.Sweeney.

The Math Olympics 2013

Here are the solutions and questions for round 1!

The Math Olympics

Enjoy.

Mr.Sweeney.

Geometric Sequence -- An Example

Question

Solution