My name is Carl Lynch. I am a Maths teacher who has been teaching in a boy’s school for 30 years and giving maths grinds for the last 16 years.

**Why should students choose to do leaving cert maths grinds (6th Year) with me?**

Firstly I love what I do. To me it is not a job but a hobby that I can actually make a living out of. It might not be the highest paying hobby in the world, unlike athletes and musicians, but I do have a genuine love for it. I love the challenge it presents everyday and helping the students in front of me to learn Maths.

Secondly, I try my best to relate to students and see the subject from their point of view. To do well in Maths you don’t have to be a genius, and I can assure you that I am not. I can see how harder questions may trouble students and I can see how some people find maths difficult, but I feel this helps me as a teacher. I can relate to those who are struggling and try to simplify the problems in front of them as much as possible. I want them to actually understand what and why they are doing, what they are doing.

Now I am definitely not saying Maths is easy, but I do feel I have the experience and expertise to help you achieve your goals.You will have to do work, but I can help guide you in the correct path. You never know, eventually, you might even find Maths ‘fun’, ‘interesting’ and ‘easy’.

Over the years there has only been one negative feedback given by my students, that my jokes are pretty bad.

**So what do we do?**

You are going to have a system.

- You will have two copies. One is a hardback copy for in class notes. The other is an ordinary copy for homework. Homework is given every week.
- You will be in class live every day. All classes are recorded, so if you do ever miss a live class you can catch up via the recording. You never miss a class. It is very important that if you do miss multiple classes that you re-watch the recordings in the correct order.
- When you are stuck you can ask questions. In person you can just ask me out loud in class, ask me after class, or else give me a ‘confused’ look and I’ll get the memo. Questions can also be asked for those streaming online. We outline how to use the system in the first class, but we assure you it is very easy to use to ensure you are getting the same level of learning as those in person. Students can even send me an email with any questions or issues that they might have at [email protected]. It’s essential that the student understands and asking questions is such a vital part of this, so always ask questions when unsure.
- I will show you everything that you are going to learn. You will learn words, methods, proofs and formulae etc. This is really where I come in. I know what you need to know and I know the best way to learn it.
- You will be given homework that you will have to try to do with restrictions. No notes, no help, no looking for answers where possible. Homework builds on the work that was done in the class and is essential to learning.
- I will give you tests to do. These tests allow you to see where you are in regards to your learning and highlights possible areas of struggle. They also allow me to gauge your progress and see where extra attention may be required.

So take all the above and break it down to

- Understand
- Learn
- Do

The following is a breakdown of each course for 6th years.

**6 ^{th} years.**

In leaving cert maths there are 4 key topics. I will cover all of them in a lot of detail. The whole first term is taken with Algebra. It is key it open up all of maths once you have a good knowledge of it. It will start at a nice slow pace to get you going but very quickly will move on. The first few weeks you will find tough going but I am here to guide you through them.

**6 ^{th} year maths**

- Multiplication. Perfect squares. Factors.
- Fractions.
- Perfect squares. Quadratics.
- Complex fractions. Modulus. Inequalities.
- Inequalities.
- Cubics.
- Manipulations.
- Indices. Simultaneous equations.
- Indices.
- Logs.
- Line basic.
- Line basic.
- Angle between 2 lines. Perpendicular distance.
- Perpendicular distance. Concurrences.
- Internal divisor. Trigonometry – angle units. Calculator use.
- Solving equations.
- Graphs.
- Graphs. Double angles.
- Double angles. Compound angles. Non right angle triangles.
- Triangle questions.
- Sectors.
- 3 D questions.
- Inverse trig.
- Permutations.
- Combinations.
- Basic Probability.
- Experimential Probability. Expected value. Sets.
- Permutations and combinations and probability.

**Christmas A**

We will cover Algebra in doing doing questions

After Christmas

- Bernouilli. Statistics. Averages.
- Averages.
- Line plot. Pie charts. Z scores
- Z scores. Standard error.
- Margin of error. Hypothesis testing.
- Hypothesis testing.
- Stem and leaf. Scatter plot. Line of best fit. Correlation coefficient. Functions.
- Functions basic.
- Inverse. Limits.
- First principals. Standard form. Quotient rule. Product rule.
- e. Logs. Inverse trig.
- Inverse trig. Slope – tangents. Increasing – decreasing. Turning points.
- Turning points. Max – min problems.
- Max – min problems.
- Rates of change. Integration.
- Basic Integration.
- Area under integration. Average value.
- Area under integration. Acceleration – speed – distance. Line basic.
- Line basic.
- Angle between two lines.
- Angle between two lines. Perpendicular distance. Conncurriencies.
- Internal divisor. Circle. Tangents.
- Find equation of circle.
- Find equation of circle.
- Touching circles. Common chord. Sequence and series basic.
- Find Tn given Sn. Arithmetic.
- Geometric
- Percentages.
- Compound interest. NBV. Annuities
- Mortgages. Bonds
- Depreciation. Signifiant figures. Scientific notation.
- Percentage error. Proof by induction.
- Proof by induction. Proof by contradiction.
- Argand diagram. Add, subtract, multiply and divide. Equality
- Square roots. Quadratics. Cubics. Polar form
- Polar form properties. De Moivres’ Theorem
- Triangles. Congruent. Parallelograms
- Circle. Ratios.
- Area and volume.
- Area and volume. Paper 1 again.
- Paper 2
- Paper 2
- Paper 1
- Paper 1

I guarantee that if you stick with me do what I suggest you will succeed. I look forward to having you in my class and to hear all your lovely questions.