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Joe’s Jotter: Shorthand Best Practice for LC Maths 2023 P1

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General Guidance for Leaving Cert Higher & Ordinary Maths Paper 1

  • Leaving Cert Paper 1 in Maths is on Friday 9th June so you may have two/three papers done already (Eng/Engin/Home Ec).. i.e. The bulk of the prep for Maths Paper 1 needs to be done from the week before as a result of this.
  • Paper 2 material can come up on Paper 1 and vice versa – i.e. 2015/2017 Trig Functions (higher) appeared. Financial Maths (higher) appeared on P2 in 2018 even though it’s more of a P1 topic. A&V can appear on both
  • There is no specific layout to the paper year to year – Any topic can appear anywhere.
  • Topics tend to mix together into one question. So….I wouldn’t leave any topics out
    • Example Prob/Stats and Geom/Trig
  • I wouldn’t do extra questions on the paper as you will run out of time
  • Night before exam – Check…Maths set, pencils, two alarms, your usual calculator etc
  • Only answer the question that’s being asked. Read it three times.
  • Often the answer can be hidden somewhere inside the Information given in question
  • Do not scribble or tippex out any writing and make it unreadable. Draw an X through it and make sure it is readable – this could be worth marks and will be corrected.
  • Always give your answer in the form requested in the question e.g. surd form
  • Always use the correct units.. e.g. m2 for the area of a rectangular field etc
  • Only round off your answer at the very end of the sum. Retain as much of the decimal as you can through the question to ensure accuracy and full marks.
  • If you don’t give your answer in the correct form, round off decimal places or leave out the units, you will more than likely lose one marks
  • Exams are scanned in and are then corrected by a person (examiner)
  • When revising, break the course into sections and break each section into sub-topics in order to make it more manageable to tackle. Practice loads of past exam questions.

Sample Marking Scheme Scale for LC Maths

This is an example of how the paper is marked and shows the opportunities to pick up marks depending on how many marks is allocated to each question.

LC Maths Exam Paper Layout [Red Text – 2023 only] – Paper 1 and 2

  • In 2023, we have Section A: we have 6 short questions of 30 marks (Do 5). In Section B: These are the more practical real life scenario questions. There will be 4 long questions in Section B (Do 3) (50 marks each). [Both Higher and Ordinary level]
  • Even though there is a choice on both papers, I would NOT attempt an extra question in either Section A or Section B
  • My proposed Timing for 2023: (Apply the 13:25 rule for LC Exams 2023)
    • 10 mins to read paper and carefully choose questions at the start
    • Short Question (Complete 5) (30 marks) – Max of 13 minutes each
    • Long Questions (Complete 3) (50 marks) – Max of 25 minutes each
  • Set out a time budget plan before your exam and stick to it.

How do attempt marks (Low Partial Credit) work in Maths?

You can pick up 2/5 and 4 or 5 out of 10 for just getting one step in the right direction. This is called Low Partial Credit

  • This could just be writing down line one   OR
  • Writing down the correct formula and subbing a relevant value into it [‘Relevant substitution’]  OR
  • Bringing down the last answer and doing something sensible with it
  • Write down everything – a formula from your Log tables, a step, a piece of English, a diagram, a table anything at all. If you type something into your Calculator, write it down. The examiner will be desperate to give you 2/5 or 3/10 or 6/20 or whatever Low partial credit is for each part. They will take no pleasure at all in giving you zero.
  • You may use a different way to solve a question (with success) that’s not written on the examiners marking scheme – this is full marks.
  • If you make more than one attempt on a question, make sure to leave both visible on the paper.. Never scribble out anything. Never write a ‘?’ on your paper.
  • Draw a single line through a method you feel is incorrect, it will be checked and may be allocated marks

What if I need an answer from the previous part to answer the next part?

There are two possible scenarios’ here. If you got an answer you think may be wrong and need to use it further down the question, carry it down anyway. If you didn’t get an answer at all and need one further down, explain in a note to the examiner that you are going to guess the answer needed and use it. You might word it something like:

“I didn’t get a value for x in part a so I’m going to assume that x=10 here.”

Do this and continue on…You can still get high marks for this question

What do you do if you mind goes blank?

  1. Fill in something you have done in class related to the question being asked.
  2. Use all the Information given in the question in some way.
  3. Use a formula you think that may be relevant to the question.
  4. Any correct element to a question will give you low partial credit.

What are the core skills I cannot live without for LC Higher Maths?

  • Solving a linear and quadratic equation
  • Solve a simultaneous equation (Basic JC Method or by substitution)
  • Subbing into a formula
  • Being familiar with Log Table Formulas (See below)

Why are Log Tables so important..?

Each student will have a set of log tables on their desk when they go into the exam hall. You will not be allowed to bring in your own set of log tables. Know whats in your log tables but more importantly whats not in your log tables. Be familiar with roughly where each formula is in the tables, so you are not in a mild tizzy trying to find one. Learn off the formula’s not in your Log tables. Enter these into a hardback notebook now and start memorising them. Guidance and advice for Maths Paper 2 will follow very soon. Stay tuned to Joe’s Jotter Blog for updates. Joe

More details about Joe’s Maths Tuition Classes for Junior Cycle and Leaving Certificate (2023) and his Award Winning ACE Maths Solution Books can be found via the links below.

ACE Maths Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/buy-my-books

 

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Joe’s Jotter: What Maths You Should Know for Higher Level Paper 2 2023

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Paper 2 at Leaving Cert Higher Level Maths usually contains Probability and Stats, Trig, Geometry, Inferential Statistics and Co-ordinate Geometry, Area and Volume.

  • Your Paper 2 is on the Monday so you will have some time to look over. Again watch out for topics appearing here that should appear on Paper 2.
  • Paper 2 is more about the formula’s so use them if you are stuck
  • Label your diagrams and Label co-ordinates (x1, y1)
  • Do not get caught up in one or two topics – cover all your topics
  • Note that Financial Maths came up on P2 2018 – Be careful..
  • Proofs can be mixed between the two papers

What do you need to learn off for Paper 2?

  • Constructions Numbered 1-22
  • JCH Theorems 4, 6, 9, 14 and 19
  • LCH Theorems 11-13
  • Eight Trigonometric Identities 1-7 and 9
  • Some Statistics Terms (explain the words….‘population’, ‘sample’ etc)
  • Some Geometry Terms (explain the words…‘axiom’, ‘theorem’ etc )

See your textbook for all of these

Geometry

  • Geometry and Trigonometry often come up together
  • This idea of Similar Triangles is quite popular lately
  • There’s a bit of learning here:
  • Students need to Learn Constructions and Learn Theorems off by heart
  • Practice these and know all the steps
  • The best way to learn your proofs and constructions is to keep writing them out. Pin the ones you find difficult to remember up onto your wall. Repeat this process.
  • This could well be mixed with Trigonometry or Area and Volume
  • This is usually one short question on the paper (Section A)
  • In order to learn your proofs and constructions, keep writing them out. Pin the ones you find difficult to remember up onto your wall. Repeat this process.

Trigonometry

  • 3d Shapes are popular. The advice here is to break the shape into 2/3 triangles and solve using SOH/CAH/TOA, Pythagoras, Sin or Cosine Rule.

       [Sin and Cosine Rule is in the Log Tables]

  • Be able to read the period and the range from a Periodic graph or a Periodic function
  • Be able to solve Trig Equations (this also may appear on P1 also)
  • You need to be able to prove 8 trig identities – these are listed in your textbook
  • The advice here is go over the questions from 2014-2019 as practice
  • This can be mixed with an Area and Volume Diagram or Co-ordinate Geometry
  • Triangles and Circles linked
  • Understand Trigonometric graphs including Periodic functions (period. Range etc)
  • Go over the questions from 2014-2019 as practice here

Area and Volume

  • Started to get popular from 2017 onwards
  • We sometimes see combined shapes here so it’s a good idea to redraw diagrams
  • Have a look at Q7 2018 and Q7 2017 as practice
  • Can appear on Paper 1

Co-ordinate Geometry of the Line and the Circle

  • They can come up together or on their own
  • They tend to be more in Section A and could be two short questions
  • All the Important formula for these topics is on Page 18 and 19 of the log tables
  • I feel the ‘Big 3 formulas’ are Important (always have a great chance of appearing)
    1. Perpendicular distance between a point and a line
    2. Dividing a line in a given ratio
    3. Finding the angle between two lines using the Tan Formula

[ALL THREE OF THESE ARE IN THE LT]

  • Know the idea of slopes well. Slope formula (LT), m = -x/y & rise/run
  • Know the method for finding the equation of a tangent to the circle. This will involve the slope and maybe the radius of a circle
  • Be able to find the centre and radius of any circle given its equation..

Note that the equation can appear in different formats….

  • This tends to be more in Section A of Paper 2
  • Mixed with Geometry

Probability

100% chance of prob appearing…

  • Know the following three formula’s off by heart (Not in LT)…………… There is a great chance one of these will appear…..
    1. Formula for Conditional Probability – Probability of an event A occurring given that event B occurs.
    2. Formula to show that two events are independent
    3. Formula to show that two events are mutually exclusive
  • One of the following topics usually comes up every year:
    1. Bernoulli Trials (Know how to spot this & apply formula)

or

  1. Expected value of an event
    • g. Expected profit from A GAA club lottery
  • It doesn’t tend to be a long question (Section B) except in 2015 when it was mixed with patterns. It could be too short questions on Section A however
  • There isn’t really any help from Log Tables here so learn the above

Statistics

  • Be able to understand z scores for the normal curve
  • The Empirical rule can also appear. Symmetry is the secret to solving. Learn and practice this:
    1. 98% of the population falls within one standard deviation of the mean
    2. 95% of the population is within two standard deviations of the mean
    3. 68% of the population is within three standard deviations of the mean
  • Inferential Statistics. This is where we use the data from a small sample to assume something is true or not for the full population
    1. Know Confidence Intervals for a Sample Proportion
    2. And Know Hypothesis Testing

Both could well appear on Section A but more likely on Section B. Try and understand these as opposed to just learning off the methods like a robot.

  • Know how to analyse data by measuring its middle – Mean, Median and Mode. Know about data spread – range, inter-quartile range and standard deviation.
  • Know how to analyse data by measuring its middle – Mean, Median and Mode, as well as its spread – range, inter-quartile range and standard deviation.
  • Correlation and correlation co-efficient do pop up the odd time
  • The Empirical rule does also appear every so often. See the diagram in the Log tables on Page 36. Symmetry is the secret here. Learn and practice this:
    1. 98% of the population falls within one standard deviation of the mean
    2. 95% of the population is within two standard deviations of the mean
    3. 68% of the population is within three standard deviations of the mean
  • Inferential Statistics. This is where we use the data from a small sample to assume something is true or not for the full population
    1. This is a mix of Probability and Stats
    2. This has a good chance of appearing
    3. Confidence Intervals/Hypothesis Testing or both could well appear
    4. It could appear on Section A but more likely on Section B
  • Try and understand confidence interval and hypothesis testing as best you can as opposed to just learning off the methods like a robot.

More details about Joe as a Maths Tutor for Leaving Certificate (2023) and his Award Winning ACE Maths Solution Books can be found via the links below.

ACE Maths Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/buy-my-books

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Joe’s Jotter: Final Thoughts on Exam Prep Including Parental Support 2023

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Parental Support for Students at Home

Parents, your new role is one of increasing influence, given that your child is now at home revising for their exams all the time. Strangely enough, students actually like the structure of school and seeing their friends there every day. Being at home is not something they are used to and may require some time to bed down into a pattern of revision and rest. You are not a teacher, so it’s important to remember that if you are doing your best, you are doing enough. Here are my twenty recommendations to help you be the best you can for your child currently revising in the home environment:

  1. Help them establish a revision routine in a quiet, clean, and comfortable area.
  2. Plan your day a little around them, so you can be there to support their efforts.
  3. Provide the quiet support: school materials , healthy dinners & encouragement.
  4. Be realistic about the amount of revision they may do each day.
  5. Encourage family time including walks & drives to keep communication open.
  6. Show interest by requesting that they discuss or come and teach topics to you.
  7. Be calm, tolerant, and patient with their moods as best you can.
  8. Try praise their efforts (no matter how small) even if you feel they don’t deserve it.
  9. Remind them to communicate with their teachers and friends if they have queries.
  10. If they are disorganised or scatty, sit down & brainstorm to help them get organised.
  11. Empower them to help you around the house, i.e. Cooking/Cleaning/Gardening etc
  12. Trust them to take responsibility for their own learning.
  13. Encourage them to talk to you if they feel anxious about anything.
  14. Endeavour to maintain balance. Nothing is ever as bad or as good as it seems.
  15. Don’t be afraid to get stuck in academically. Impart your knowledge to them.
  16. Examine them on subjects, questions, and texts they may need help with.
  17. Try not to pass any anxiety you have on to them; Just let them breathe.
  18. Try to cook substantial nutritious meals, so that they aren’t constantly ‘grazing’.
  19. Intervene in all cases if you feel they are overwhelmed or struggling mentally.
  20. Parent.

ACE’ing Your Prep at Home – Some Final Thoughts

Students,

Your best bet now is to make the most of this challenge set down for you. You now have more freedom than ever to create your own study blocks and breaks; effectively you can control the pace of your learning. If your revision blocks are short (i.e. thirty minutes), you are less likely to daydream and waste time in them. You can now allocate time to various subjects and tasks unlike before; embrace it. It is an opportunity to take responsibility for your own learning and with this you are preparing yourself for third level education or whatever route you choose after school.

Create a good solid routine, especially to start the day. Having a good morning can often be the key to a productive day. Keep your social media stint to a limited time in the morning, otherwise it may become an endless scroll, with well laid out plans being scuppered. Every morning, commence your Lifestyle (Study) Timetable or the list of ten to twelve tasks you have set yourself from the night before. Be sure to make everyone in the house aware of your revision times, so that they can try to be as quiet as possible during these periods.

Be Honest and Realistic with Yourself

Keeping your timetable or task list simple and realistic will allow you to get through the day’s work and make it easier to get started also. Maybe setup four tasks in the morning, three after lunch and three in the evening if you find creating a timetable for the full day too daunting. Sample tasks may include revising a short chapter in your Maths book and completing ten test questions based on it, or note taking on a certain period in History, or summarising one aspect of your Biology or Home Economics course. How do you eat an elephant? Answer: Break it up into small pieces and eat it bit by bit. Treat your daily task list or timetable the same.

Be honest with yourself (as best you can) about how you are going to use the Internet, social media, and phone during revision times. The best way to control this is to set out the exact times you will use devices and where they will be located during revision blocks. If you struggle to separate yourself from your phone, request the help of your parents to find a solution. If you find your eyes are getting sore from ‘screen time’, whether that be on a PC or phone, this is your body telling you to give it a break and it is wise to listen to the voice within in these cases. Along with reasonable tech time, ensure you enjoy and inbuild fun, phone calls to friends, exercise, music, and relaxation into each day’s revision timetable. These types of breaks are essential for productivity; but ensure to keep an eye on time away, as short breaks can easily turn into longer wasteful ones.

Strength Based Learning

As above, vary the different ways you study and indeed your revision location also. Keep your study area clean and organised in order to be more productive. Find out which ways of learning that work for you and repeat them. If you are finding a specific revision method worthless, come at it from a different angle. Manage your revision effectively by using the best methods suitable to you and appropriate to that subject. Always play to your strengths!

Winston Churchill once said that ‘Perfection is the enemy of progress’. In subjects we find difficult, we often learn more by making mistakes as opposed to getting everything perfectly right at the beginning. If you always think your notes and revision blocks aren’t of a high enough standard, you will soon loose heart by your perceived lack of excellence. Failure and Imperfection should be viewed as a positive, as it encourages us to try harder and continually better ourselves. This was one of my keys to success. I always wanted to improve and ultimately be the best at whatever I did. You will never actually reach perfection, so be contented with progress and don’t be too hard on yourself.

Write Down Your Goals

Finally, write down both your short and long term goals and re-read and update them regularly to remind yourself why you are putting in such an effort right now. Goals should be used to motivate and drive you to achieve great things. Focus always on the work you have completed, not what you haven’t done. The quicker you settle down into a routine and discover study techniques that work for you, the better you will feel. Right now, you are effectively searching for the best possible home routine that facilitates an increased accumulation of knowledge. Don’t be afraid to try new learning methods as part of this new phase. These might give you the edge on topics you have struggled to understand so far.

I wish you luck and good health going forward and feel free to contact me through the channels below if I can help you in any way. Joe

More details about Joe’s Maths Tuition Classes 2023 for 5th & 6th Year (Leaving Certificate Students) and his Award Winning ACE Maths Solution Books for all students can be found via the below links:

ACE Maths Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/ace-solution-books-package/

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Joe’s Jotter: The ACE Exam Day Reference Guide 2023

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As we reach the start this year’s exams and work our way through each subject, here is a little checklist that you can have a glance at before setting off each morning. It is important to get your brain into ‘exam mode’ in order to exact the maximum out of each paper. The below pointers will help you get organised and put you in the right head space:

  • Do your best – that is all that is expected of you.
  • Get to the exam hall at least fifteen minutes before each exam.
  • Be fully aware of the start and finish time of each exam.
  • Read the instructions carefully on every single page.
  • You cannot leave during the first thirty or the last ten minutes of each exam.
  • Prepare for a longer exam paper than any of the ones you have sat during school
  • Make sure you have plenty of pens, pencils, rulers, etc.
  • Phones, books and notes are all forbidden in the exam hall.
  • Use the toilet before entering the exam hall.
  • Answer your best question first to settle the nerves.
  • Take your time when reading each question.
  • Attempt all parts of every question asked.
  • If you make a mistake, draw a line through, so it is still readable.
  • Questions answered, even if cancelled out, must be corrected by the examiner.
  • Check that you have answered all parts of all questions.
  • Make sure to include all extra pages used e.g. graph paper etc
  • Place twice as much emphasis on ten markers than fives etc (twice as much time also)
  • Carefully label any diagrams you draw or use.
  • Layout your paper well. You can save the trees in later life.
  • Do not repeat yourself in a question.
  • Skip a line or two after each full question.
  • Remember that any reasonable attempt will get you some marks.
  • Bring some sweets and water into the exam hall.
  • Focus on your own exam paper not your friends efforts beside you.
  • Don’t panic if you don’t understand a question at first.
  • Eat good meals before and after each exam.
  • If you run out of paper, ask for more from the superintendent.
  • Think how your answers will sound to someone else reading it.
  • Spend appropriate time on a question depending on marks allocated.
  • Try and write clearly especially in subjects with a lot of writing.
  • Answer the exact question that you are being asked on the paper.
  • Go into each exam with a positive and determined attitude.
  • Put a ‘*’ on questions you didn’t finish and revisit at the end.
  • Show all rough work for each question on your answer book.
  • A labelled picture/diagram can explain better than words.
  • Scribble down notes if you happen to run out of time.
  • You are ready. Leave all doubt outside the exam hall.
  • Stay until the end of all your exams.
  • Do your best!

 Ten Admin checks to do before entering the Exam Hall

If you are getting ready to sit your Leaving Certificate examinations this week, the following administration information is certainly worth a quick read. The more familiar you are with exam hall procedures, the more you can focus on your own game plan:

  1. Be very clear on the timing of each exam.
  2. Get there early on the first day of your exams to find out where to put your school bag and what centre (exam hall) you are sitting in.
  3. When you sit down each day, double check you have the correct paper and label in front of you. At Leaving Cert level, you can change from one level to another on the morning of the exam, but this does not come recommended, as you have spent considerable time preparing for a specific level.
  4. You cannot bring any notes, school bags, phones, or materials into the exam hall with you. You should just bring in your pens, instruments, and some water/sweets.
  5. Listen to the superintendents’ instructions carefully at the start of each exam, as there may be corrections to be made to the exam paper or other announcements.
  6. Be aware that Higher, Ordinary and Foundation Papers may finish at different times.
  7. You will not be allowed enter the exam hall once thirty minutes from the official start time of the exam has elapsed.
  8. If you take paper one at higher level for a subject, you must take paper two at higher level also. The same obviously applies to Ordinary and Foundation levels.
  9. You can obtain a copy of the exam paper from the school authorities after the exam. Each exam paper will be uploaded to the examinations.ie website soon after each exam.
  10. Ensure you write your exam number on each booklet you use and be sure to hand up all your writing material. Good Luck to you. Joe. (www.acesolutionbooks.com)

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Joe’s Jotter: What Maths You Should know for Higher Level Paper 1 2023

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Paper 1 usually contains Algebra, Complex numbers, Functions and graphs, Indices and Logs, Financial Maths, Numbers, Proof by induction.

What do you need to learn off for Paper 1?

  • Prove that Root 2 is irrational
  • Construct Root 2 and Root 3
  • Derive the amortisation formula
  • Derive De-Moivres theorem
  • Derive Sum to Infinity of a Geometric Series
  • Use differentiation from first principles method on a:
  1. Linear Function
  2. Quadratic Function
  • Learn Proof by Induction methods for:
    1. Divisibility
    2. Series
    3. Inequality

See your textbook for full details all of these

Algebra

  • This is the most important topic on the course, and it is very hard to score well unless you know it. It is a massive part of Paper 1 and Paper 2, but more so Paper 1
  • Know solving, simplifying terms, multiplying terms, dividing terms, quadratic equations, inequalities, simultaneous equations, modulus equations etc…

Logs

  • Logs seem to be appearing more lately -> Know how to use the basic rules of logs from page 21 of your log tables (LT) – These are well worth practicing finding out when to use which rule.. do some basic examples from your book to get started here.
  • Logs appear when you get an unknown as a power (5 to the power of p and we are trying to solve for p) e.g. 5p

Complex Numbers

  • Multiplying and dividing complex numbers is really important
  • Convert a complex number into polar form
  • De-Moivres theory is always worth learning

Proof by Induction

  • You need to practice this technique and just know what the three basic steps are here
    • Prove true for n=1, Assume true for n=k and prove is true for n=k+1

Sequences and Series (Patterns)

  • This could be a number pattern or a picture pattern
  • You will need to be able to predict future patterns and come up with a formula to describe the pattern presented
  • Big Emphasis on the formula’s here for the Arithmetic sequence and the Geometric Sequence – Page 22 of the Log tables
  • The Sum to infinity of a geometric series is a popular question
  • The best way to prepare for this question is to practice past exam questions..

Calculus (Differentiation and Integration)

Differentiation

  • Diff (80%) Integ (20%) That 20% integration comes up every year so it’s worth knowing
  • Differentiation appears on Section A, but can also appear with functions on Section B
  • ‘Max’/’Min’ or similar words used – Differentiate the function…let equal to zero and solve
  • Practice Product, Quotient, and chain rules here from log tables
  • Again you could be asked to differentiate a trig function (sin, cos, or tan). Page 26 of the Log tables will help you here. Indices links in here.
  • Rates of change…Rate is always something over dt as it’s how an object changes over time e.g. of this might be how an area change over time da/dt…
    • Again practice past questions here…
  • ‘Slope of a line or a tangent’ also means differentiation. This can appear on either paper…
  • Can appear on Paper 2

Integration

  • Integration is the opposite of Differentiation

Know..

  1. How to use the rules of Integration (Log Tables Page 26)
  2. Find the area underneath a curve. (The Trapezoidal rule from the Ordinary level course could appear here with this)
  3. Find the average value of a function [Learn this formula – Not in LT]

Financial Maths

  • Students get a little hung up on this topic given it is only one section of many in P1..
  • There is way more in the books than is needed in my opinion
  • Know how to deal with Taking out money (Loans) and Depositing money
  • Know how to use your Sn Formula from P22 of log Tables
  • Know how to use your Amortisation Formula from P31 of log tables

Question types include…

  • A person needs to have 100,000 in an account by 2050.. Work back, how much should he deposit in his account each month. These are a bit trickier than the loan questions
  • Use the amortisation formula to calculate equal payments on a loan. i.e. how much I have to pay back each month? These payments are always the same each month. You need to able to derive the proof of this formula also
  • Know how to convert between monthly rate ‘i’ & the Annual rate (APR) & vice versa.

Functions

  • This involves a link between Algebra and graphs.
  • This often appears on Section B and is what I call ‘Equations representing reality’.
  • g. The amount of fish in a lake or the path taken by a basketball in motion
  • e can be popular here..
  • You need to be able to recognise a graph of a function and also answer questions on it
  • Trig functions can appear here even though Trig is mainly a Paper 2 topic

More details about Joe’s Maths Tuition Classes for September 2023 for 5th & 6th Year (Leaving Certificate Students) and his Award Winning ACE Maths Solution Books for all students can be found via the below links:

ACE Maths Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/ace-solution-books-package/

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Joe’s Jotter: The Importance of Nutrition at Exam Time

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Food provides all the essential nutrients that we require for healthy living and to fuel our daily activity. A car can work well, but if it doesn’t have any fuel it can’t go anywhere. Unfortunately for us, no single food provides all the nutrients required, so a mixture and range of different foods must be consumed in our diet. Research has shown that the healthier we eat, the better we feel and the more we can focus on tasks at hand.

When studying for exams, some students tend to stay up late and forget to eat and drink properly or maybe worse, they eat too much of the bad stuff. The following are five short exam nutrition recommendations for the next few weeks and beyond (in depth discussions about added sugar have been omitted here, with it being the obvious heralded evil).

  1. Eat something in the morning

Parents, if your child skips breakfast before school, they are more likely to be tired throughout the day and will have reduced concentration levels. If breakfast is a busy time of day in your house, then feeding your children what they need quickly might be a daunting experience, but it doesn’t have to be. By stocking up on all the ingredients you need beforehand, you can deliver quick healthy breakfasts that they will enjoy.

Alternatively, if your kids aren’t hungry or everyone is in a rush out the door, make sure there are plenty of easy-to-grab pieces of fruit, yoghurt, smoothies, and muesli bars (sugar free) that can be eaten quickly on the go. In an ideal world, everyone should sit down at the same time and share food together, although I do realise that this isn’t always possible. I feel strongly that sugary cereals are a ‘no no’. Some of these cereals can contain up to one-third added sugar. Maybe check the ingredients on cereal boxes before bringing them to the checkout and ultimately the breakfast table. 

  1. Increase ‘brain food’ intake

Proteins from lean meat, fish, eggs, fruit, nuts, and whole grains are foods that help keep the brain mentally alert. Snacking on nuts and dried fruit will help prevent concentration levels dipping. Keep in mind that fruit like bananas, blueberries, and oranges all have natural sugars that will give a lift when feeling tired. Brain food is the fuel that helps us think clearly, make good decisions, and maintain concentration when fatigue sets in during critical periods, that is, during the last half an hour of an exam.

  1. Snack as healthy as you can

Students, when your head is in the books and time is ticking by, you might be tempted to skip a meal to keep up momentum. Your brain needs food and water to keep working. Mental fatigue can cloud your brain, especially if an exam is close by. I would recommend the following healthy snacks to get you through study bumps: Whole wheat toast with peanut butter, fruit smoothies, berries, honey, dried fruit and nuts, hard boiled eggs, low fat chocolate milk or vegetables with a homemade dip. Graze away on the Guilt Free Good Stuff (GFGS) as you revise and move towards exam time.

  1. Minimise caffeine

Caffeine is a stimulant that is present in coffee and many energy drinks. Stay away from Energy drinks as they provide a false high followed by a sugar crash. Sleep can also be affected by caffeine, and I know a good few adults who abstain from caffeine after four p.m. as it disturbs their sleep. I would recommend water, peppermint tea or even a small glass of milk to aid sleep and as a healthy replacement for caffeine. 

  1. Consume ‘good’ fats

Fats are an important component of the diet and have received an enormous amount of bad publicity over the last twenty-five years. As a rough guide, saturated (bad) fats are generally solid at room temperature and tend to be animal fats (such as the fats found in butter or margarine). Unsaturated (good) fats are liquid at room temperature and are usually vegetable fats (such as olive oil, rapeseed oil, oily fish (sardines, tuna, mackerel, or salmon)). Unsaturated fats or good fats are an important nutrient for you to intake as a student. The following are other sources of Unsaturated fats: cheese, dark chocolate, eggs, nuts, coconut and coconut oil, peanut butter, pistachios, and walnuts.

Eating well and drinking plenty of water in the lead up to exams is as important as the quality of the notes you prepare prior to them. ‘You are what you eat’! Good luck. Joe

‘If you always do the same thing, you will always get what you have always got.’

More details about Joe’s Maths Tuition Classes 2023 for 5th & 6th Year (Leaving Certificate Students) and his Award Winning ACE Maths Solution Books for all students can be found via the below links:

ACE Maths Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/ace-solution-books-package/

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Joe’s Jotter: Sterling Tricks to Remember Maths Formulas

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Maths Students,

Knowing how to use formulas correctly is still as important as it was back in the 80’s and 90’s when you parents were young. Formulas help us understand questions better and assist us in converting the theoretical wording of a question into something useable. Often subbing in any correct value into the appropriate formula will yield low partial credit in an exam e.g. 4/10.

Formulas also enhance our understanding of practical scenarios. For example, the Quadratic Formula is used to find the location and value of various unknowns, trigonometric formulas are used to find distances and heights of real world objects in architecture and aviation, and Statistics and Probability formulas are used in insurance and mortgage calculations. A student’s problem is that not all Formulas they need to be familiar with are present in the Log Tables provided. So, what is the best way to remember the ones that aren’t? 

The Six Best Ways to Make Maths Formulas Stick. 

  1. Link the formula to something fun or interesting in your life.

Build a song or a rhyme around a given formula. The sequence of the song or rhyme can be the different parts of the formula. Look up an example on the Internet, or better again invent your own one which will make it easier for you to recall. Examples include: BOMDAS for order of operations and SOH CAH TOA for Trigonometric ratios in a right angled triangle.

  1. Understand each part of the formula.

When you understand a formula and whats its parts are, it is much easier to memorise it. Take time to understand the rules, variables, logic, and symbols in the formulas you use in Maths classes every day. Be very clear on what each letter represents.

  1. Put it on your wall.

Write each formula on its own A4 page and put it up on your bedroom wall to allow it to sink in. This is the best way to memorise formulas, as they will be seeping into your brain without you even knowing it. Wall summaries regularly catch ones eye, forcing the brain to take pictures of them. This is definitely an underused trick in revision and exam preparation. 

  1. Let formula’s sit before learning them.

In my experience, it takes time to learn formula’s; it isn’t like a set of French verbs or physics definitions that you may be able to cram. Every time you use a formula in class, be sure to write it down in your copy. The more times you write it, the easier it will be to remember it later. I would recommend buying a little A5 hardback and note all formulas from the Maths course into it, even the ones that appear in the Log Tables. This hardback is something you can flick through on journeys or even while keeping an eye on a bit of TV. It’s all learning!

  1. Take them to bed with you.

At the end of each day, have a quick glance at any new formulas you learned that day. Check how well you memorised them by trying to write them down without looking. I would estimate that knowing which formula to use where in Maths is worth at least 25% in exams.

  1. Most Formulas are in your Log Tables.

It is crucial to learn the formulas that are not in your log tables and be familiar with the ones that are in there. Try and get used to using the index on Page 1 of the Log tables in order to access the formulas you need quickly. The main formulas we use in the log tables are on Pages 8, 9, 10, 13, 14, 15, 16, 18, 19, 20, 21, 22, 25, 30, 31, 34 and 36. Good luck. Joe.

More details about Joe’s Maths Tuition Classes 2023 for 5th & 6th Years including upcoming ‘Live’ Online revision blitz’s and his Award Winning ACE Maths Solution Books can be found via the below links:

ACE Maths Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/ace-solution-books-package/

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Joe’s Jotter: The Best Strategy for the 2023 Maths Exams (incl Marking & Timing)

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What is the best Strategy for tackling both Maths Exam Papers 2023?

Just for the 2023 LC Maths papers only, I would spend 10-12 minutes reading the paper and tick off the parts of the questions that look familiar making a few notes at the side. Ring or e-mail me if you would like more Information on the best way to choose your questions. You should then know by the amount of ticks and positive notes which questions that you fancy taking on. Start a short question (you like the look of) first to settle the nerves. You don’t have to do Question 1 first!

For each paper, I would have a clear plan in my head on how I would tackle the questions. My reasoning for this is that students tend not to get the long questions done if they are left until the end. Personally I wouldn’t take on any extra questions  – Do five short and three long questions well.

Recommended Paper Plan

  1. Read and select questions really carefully – 10-12 mins
  2. Do your favourite short question – (12.5 mins each for short)
  3. Alternate between long and short questions – (25 mins each for long)
  4. Be sure you have done five short questions and three long questions.
  5. Check, recalculate and tidy – Use any extra time at the end of the exam for this…

Total Time 2023 (Both for Paper 1 and 2)  = 150 mins  (2.5 hours) [Higher & Ordinary Level]

Read each question twice highlighting and underlining the key words and numbers with your red or green pen. Highlight the key words. Think what those words might trigger from a Maths point of view. e.g. The word ‘indefinitely’ in a pattern indicates to use the sum to infinity formula. Be very clear and what you are being asked to find before commencing.

Marking and Timing on the LC Maths Exam Papers 2023

50 markers [LONG Qs] -spend at most 25 minutes per Q [2023 Only].

30 markers [SHORT Qs]-spend at most 12.5 minutes per Q. [2023 Only]. Stick rigidly to time.

I have noticed that the first parts of most questions are carrying 10 marks, so it is really Important to make a big effort to attempt them really well.

I was giving an exam recently and my student submitted her work by email. She explained how she ran out of time on Q1. I was delighted. She had stuck to the time and moved on. Often you need the first part of each question for attempt further parts. You will only know how much marks each full question is worth – you will not know how many marks per part.

I would say it is easy get the first 60% of any question part but more difficult to get the last few percent. Trying to get that last few percent can cost you between five and ten minutes and may not be worth it. This could mean that you don’t get to even see the last question on the paper i.e. there is a knock on effect. Stick to your time budget plan at all levels.

It is better to know a little about loads of topics than an in-depth knowledge of one topic. Algebra is the exception to this and really worth learning in-depth for all levels. Algebra is the language of Maths and effectively appears inside every question. Also…

  • Incorrect answer and no workings out = No Marks
  • Incorrect answer with a step in the right direction = Some Marks
  • SHOW YOUR WORKINGS OUT CLEARLY IN A STEP BY STEP FORMAT
  • Show exactly what you are thinking on the page. i.e. Write it down clearly. If you think you should multiply/divide/subtract/add and aren’t sure, show it on the page anyway.
  • Take risks and go for it. Never be afraid of being wrong!

More details about Joe’s Maths Tuition Classes 2023 for 5th & 6th Year (Leaving Certificate Students) and his Award Winning ACE Maths Solution Books can be found via the below links:

ACE Maths Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/ace-solution-books-package/

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Joe’s Jotter: Your Role as a Parent in Exams 2023

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Your Role as a Parent as Exams Approach


One of your main roles, as parents, around exam time is to create a good atmosphere at home. It will be important to remain calm and try not to transfer additional pressure on to your child in the lead up. This applies whether they are sitting a state exam or an end of year summer test. I would be wary of placing any extra emphasis on them achieving certain grades or points. Allowing them to talk without judgment, actively listening to them and keeping career options and results in perspective are other ways that you can be there for them at this time. Be sure to check that they have a plan ‘B’ in place for further education/training, as this will help greatly to regulate their stress levels.

Try not to let uncertainties or worries you had in school, especially any negative vibes you had around exams or certain subjects influence how your child deals with their exam year. I don’t think conversations beginning with “When I was doing the Leaving Cert…” are really that helpful or relevant to their situation now. Similarly, never compare your child’s performance or study ethic to that of their peers or siblings, as this will just add to the stress. Complaining about the unfairness of the exam process is also airing unhelpful negativity. Keep it all on a positive plane and let them breathe. If you have any concerns at all about your child, you should contact their school, as teachers and management are usually more than happy to help. If you meet a roadblock, I would be delighted to help and advise you in some small way; so don’t hesitate to reach out to me.

More than any other time in their life, it is important to help your child manage their feelings, as they may struggle with overwhelming emotions and pressures placed on them by exams. There are lots of great techniques you can show them, like slowing their breathing down or helping them become aware of their feelings. Maybe, look up one or two of these online, so that you can pass on something practical to use during intense situations. Exercise and involvement in activities right up to exam start are brilliant stress reducing techniques and should be strongly encouraged.

Practical Insights to Really Support Your Exam Student

The following are some real and practical insights into how your support can really help your son or daughter be their best around exam time. This advice applies to all types of examinations, not just the Junior and Leaving Certificate.

  • It’s an obvious one to start but ensure that your child is present in the exam hall for each exam. For parents who are working and leaving home early, avoid the ultimate disaster of your child missing an exam. This advice applies on days they have important class tests also. Ensure they are up and dressed before you leave home for work each morning. A small number of students regularly fail to turn up for morning exam papers.
  • Making them a healthy and substantial breakfast will greatly help their focus and concentration all the way to the end of an exam, especially if they have an afternoon paper to sit also.
  • Help them to draw up a check list of daily requirements based on each day’s exams. Make a final check with them each morning, so that your child is fully prepared for the day’s exams. The amount of guidance required will obviously depend on how organised your child is. Writing instruments along with the other requirements such as rulers, erasers, calculators, water, and any non-intrusive nourishment such as sweets, or fruit should be checked off for inclusion.
  • When your child arrives home after their exam, listen to their experience carefully and then move on. After each day’s exams allow them to recount their daily story to you. Do not be tempted to review in detail with them any errors or omissions on the paper. Such a process achieves absolutely nothing, other than to again increase anxiety levels. Simply allow them the time and space to tell their tale and move on to the next challenge (i.e. the subsequent paper) is the best policy.
  • Know the exam schedule. Pin the exam timetable prominently up at home; highlight each exam to be taken. This applies to house exams also. Diary the date and time of each paper your child must take. In the stress of the whole exam period, you need to be continuously aware of whats going on and when. Investigate which days or subjects your child isn’t looking forward to so that you can be there for them in a real and practical way.
  • It can help them greatly if you have a little knowledge of each exam paper or at least show some interest in it. Simple questions such as, “What is up next?”, “Are there any compulsory sections?” or “Are there any predictable questions?” can be asked. The best open question to ask is “How are you feeling about …? “. This will allow them to express themselves more freely if they wish. This also ensures they won’t feel alone and that you really care about how they get on. If they will allow you, work with them on devising a short but efficient revision schedule, as this is something I have noticed that students struggle to do alone. How all students manage their time from now on is key. Wishing you luck, especially if you are a ‘first time exam parent’.

‘Life is about dancing in the rain, not waiting for the storm to pass’

More details about Joe’s Maths Tuition Classes 2023 for 5th & 6th Year (Leaving Certificate Students) and his Award Winning ACE Maths Solution Books for all students can be found via the below links:

ACE Maths Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/ace-solution-books-package/

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Joe’s Jotter: How any Student can ACE a H1 in Maths

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No matter how intelligent you are or how well you prepare, if you are not exam smart, you will underachieve in any Maths exam. It is also vital to have a plan in place for the content that can appear on your Maths paper. This involves going in there with your eyes wide open and being tactically aware in case things go a little bit wrong on the day. The following are my ACE tips to effectively deal with a Maths exam paper. These apply to both the Junior and Leaving Certs, as well as being relevant to the summer tests for 1st, 2nd TY, and 5th Years.

Sensible Tips When Dealing with a Maths Exam Paper

  • Units matter. If they are present in your question, they are required in your answer.
  • Do not type anything into the calculator that you have not already written down in your answer book.
  • You can get almost full marks (high partial credit) with just one slip/mistake in your solution. High partial credit could gain you as much as seven or eight marks out of ten.
  • If you make two attempts at a question, they will all be corrected and the highest marks from your efforts will be counted. Don’t be afraid to have a proper go.
  • Marks will be given for any work done on diagrams that have been printed on the paper.
  • Be careful when dealing with minus signs.
  • You must show your full workings out for all questions.
  • Write down every single step until you arrive at the solution.
  • If your answer is ‘off the wall’, it is probably incorrect.
  • If there are many steps required in a solution, continually double check completed steps for accuracy; otherwise, you may need to re-write the whole solution. In that case, watch the clock very closely.
  • Never rub/tippex out any work done even if you think it isn’t neat. Draw a single line through any part of the solution you are unsure about. The examiner must correct it.
  • When asked for your opinion, give it, and refer to any numbers or statistics given in the question if available.
  • Algebra is the bedrock of all Maths courses and is the main area that students struggle with. You need to become a master of Algebra to achieve high grades.
  • Get used to attempting questions involving real life statistics.
  • Estimating the heights of larger objects outside in nature is now an important part of Geometry and Trigonometry.
  • In Co-ordinate Geometry, the slope of a line is very important in practical questions.
  • More recent Maths exam questions tend to contain an increased number of words. The reason for this is the examiners need more English to describe real life Maths scenarios. You need to be able to separate the important keywords in the text from the padding that surrounds them. Use your highlighter or green pen to mark the significant words.
  • Look through the wording of each question and pick out the Maths related information. In all subjects, but especially Maths, identify exactly what you are given and what you are looking for. Watch out for numbers written as words, for example “thirty” instead of “30”.
  • If no diagram is presented, draw one yourself to give a clearer picture of what is being asked. This is especially important in Geometry, Trigonometry, and Area and Volume.
  • If given a diagram on the paper, mark in the numerical information given in the text of the question onto it. Re-drawing sections of more complicated diagrams into your answer book can help to simplify question parts for you.
  • Do not leave any blanks, ensuring that every question is fully attempted. If you leave a blank, the examiner can give you at most zero marks for that question part. If you attempt the question; you may get some marks and perhaps more than you think. In summary: No attempt = No marks.
  • If you are dealing with a Trigonometric problem at Leaving Cert level, know how to apply the three basic Trigonometric ratios (SOH, CAH, TOA) , Pythagoras’ theorem, the Sin rule, and the Cosine rule. In these, you have all you need to solve most right-angled and non-right-angled triangle problems.
  • Relate the information you have in the exam question to the theory and equations you have worked on in class. In Geometry, have you got two right-angled triangles that need to be solved separately? Again, if you are unable to start a question, there is nearly always something you have learned from your teacher or hopefully from my ACE Maths Solution Books that you can draw on to help you. Don’t give up. Be persistent.
  • The relationship between two data sets is important. At LC Level, this concept links ‘slope of a line’ in Co-ordinate Geometry to that of ‘correlation’ in Statistics. Other examples of where topics overlap in Maths at Leaving Cert level include Co-ordinate Geometry of the line and the Circle, and of course Geometry and Trigonometry. Across all levels of Maths, there are many links between topics that you need to keep an eye out for.
  • Do out a ‘time budget’ plan before sitting any Maths paper and be sure to stick to it.

Most importantly, remember that you are not alone and there are tens of thousands of other students in the same position as you on exam day, many of whom have had their various struggles with Maths. Above all, practice your Algebra and be familiar with what formulas are available to you in the log tables on the day. If you are familiar with the main equations and some theory on your course, you have a solid base for giving any exam your best shot. Joe.

‘If you did no revision today, move on. Start again tomorrow.’

More details about Joe’s Maths Tuition Classes 2023 for 5th & 6th Year (Leaving Certificate Students) and his Award Winning ACE Maths Solution Books for all students can be found via the below links:

ACE Maths Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/ace-solution-books-package/

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Joe’s Jotter: Chasing the Top Grade at Junior & Leaving Cert 2023

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With the exams finally set in stone for June, what is the best way you can maximise your chances of achievement with a few months to go? How do you go about getting the highest possible result in each subject? As a student, you obviously cannot change any of the work you have done over the last eighteen months, but you still have over two months left to focus in on what you really need to get done. The purpose of this feature article is to give you some practical tips on how to ensure your grades are as high as possible across all subjects. Both Junior and Leaving Cert Students can benefit from the below guidance.

Four Ways to ‘Up Grade’

 

1. Maintain your High Standards

The best thing for students to do now is to listen to their teachers and complete all homework and classwork to a high standard. Each piece of work you complete well that has been verified by your teacher, will help get you familiar with the examiners expectations in June. This includes daily homework, class tasks and overall contribution to class. Students should actively listen in class and show a genuine interest in topics they are studying.  Similarly, and as I always say, ‘complete each piece of homework as if it were an exam paper question’. If you haven’t taken things seriously up to now in some subjects, start tomorrow.

As you meet new topics in class, work hard to try and get a better understanding of them using the Internet and your book. Each teacher will be aware of your efforts and will be more inclined to help and offer you advice as a result. Be sure to maintain a good working respectful relationship with all your teachers. Remember that any work done, or efforts made to create notes and summaries will essentially be ‘money in the bank’ when it comes to sitting the exams in June. Every revision block and hour spent preparing will contribute to your success, as you deepen your knowledge of the course.

2. Stay Engaged in Class.

As always, teachers look for genuine engagement from all students during class. Students should endeavour to participate and learn as much as they can in each class. They shouldn’t be afraid to ask questions as they normally would, as this shows initiative and a desire to learn. If I were in your position now, I would bring a little hardback into each class and note down any key points the teacher emphasises as important. This ensures you stay engaged during each class. Treat all topics from now on seriously and consider that they could appear on your Junior or Leaving Cert Paper. Tend carefully to homework in subjects that you didn’t show much interest in up to now. It isn’t too late to turn things around in any subject. It is never too late to begin revision for any exam, but certainly the sooner you start the better.

3. Keep ‘Showing Up’.

During the various restrictions and lockdowns, we all had to find ways to stay focused and motivated. Key elements that help motivation include having a daily structure, having a sense of achievement, and having something productive to show at the end of each day. Be sure to attend school every day and go into each class with a positive can do attitude. With only a limited number of weeks left, stay motivated as best you can. For 6th year students, you may be attending third level in the Autumn, and you will have to learn new ways of processing Information. Any knowledge or skills you can pick up now will be useful for that. Investigate different ways to learn. Creating study notes, analysing texts, doing summaries, and listening well are all useful skills to enhance prior to commencing any third level course. Practice giving your subject teachers as close to 100% attention as you can now.

4. Retain Your Focus.

At this stage, your Teachers and Parents know your abilities. They also know that you may have had dips in your results over the last two years. If your Christmas test or mock result  was a lot lower than you could have got, they will know it may have just been a blip or a bad day for you. Worrying about previous performances or past class results will not get you one extra percent in June. In fact, it may affect preparation. Take the learnings from each test by writing your mistakes down, and then move on and be forward looking in your approach.

In general, my advice to you is to revise consistently each day and reach out and chat to your friends if you have any worries. Take time out, get enough sleep, do video calls/zoom sessions with your nearest, exercise, take loads of breaks, eat well, and try to enjoy life. During moments of stress, we all need to breathe deeply and calmly. Keeping in touch with friends and having a regular exercise routine will help you maintain a positive mindset when it really matters in your life now. Retaining focus will help you remain productive.

A healthy daily balance improves ones chance of success. Continue to enjoy activities and maintain that sense of fun daily. Since much of the hard work is now behind you, park the past and focus on the present and future. For 6th years, shift focus onto your subject performance, as opposed to a certain set number of CAO points. You have done so well to make it through this difficult year, so believe in yourself and the work you have done now. Get in touch with me if I can advise you and I wish you luck in your endeavours. Joe

More details about Joe’s Maths Tuition Classes 2023 for 5th & 6th Year (Leaving Certificate Students) and his Award Winning ACE Maths Solution Books for all students can be found via the below links:

ACE Maths Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/ace-solution-books-package/

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Joe’s Jotter: Supporting your Childs Efforts to Exam Day

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Dear Parents,

You may now be in the situation where your child is preparing for a final state exam and at times it will seem like you are the one actually sitting the papers. Firstly, ‘you’ getting stressed out and worked up will only make them more anxious. Students need to be encouraged and rewarded and this will be your main role as we approach exam time. Getting annoyed or even angry with your child for not studying or putting in the hours is tempting but will actually achieve very little. Ultimately, the only person you are upsetting is yourself. The old adage is apt here:

‘You can lead a horse to water, but you can’t make them drink’

As a parent, all you can do is put the conditions in place to help them flourish. Purchasing some revision and solution books, making healthy food, providing a quiet house for study and plenty of love and support are all constructive actions around this time.

Providing that Subtle Support

Being in the background and offering that hassle free support is what most exam students want right now. Firstly, let’s focus on the support they need for revision and homework. Homework is an extremely important part of your child’s learning in exam year. Below are some short tips that will facilitate your involvement in ensuring homework is a positive learning experience for your child.

  • Provide your child with a suitable place and time to do their homework. Minimise interruptions and distractions from television, phones, and other siblings.
  • If a child has difficulty with homework, you should try where possible to help them overcome it with explanations and examples, without actually doing it for them.

In the case of recurring homework problems, it is advisable to ring or send a quick note to the subject teacher to explain what the problem or issue is. If you are a parent of an exam year student and want to get in touch with a teacher, a phone call is probably the recommended form of communication at this stage of the year.

Encourage them to Express Themselves

If you find your child is getting increasingly anxious about upcoming exams and needs more than talking, ask them to write their thoughts and concerns on a sheet of paper. Having kept a diary for ten years as a child, I found that writing down anxieties and feelings helped to get them out of my head, allowing me to process them better. Another idea is to ask them to write down some positive actions, such as “I will relax and perform well” or “when I get the first question on the first paper started, it will settle me”.

Success and Failure

It’s important to guard against what they perceive as failure; support instead of policing is the way to go. To me failure in school is not about grades; the students that fail are those who don’t try, and the same philosophy could be applied to life. From this point of view, encouraging all their efforts and promoting calmness is the ideal standpoint for any parent now. This also applies if your child is sitting ‘house’ exams.

Get in touch with their school if you are overly concerned about your child’s anxiety, as sometimes it can happen that teachers are not aware of personal issues faced by students. Informed teachers can often take steps to help them or at least cut them some slack in class. Ultimately, if you feel exam anxiety (or any other serious anxiety for that matter) is reaching an uncontrollable level, you need to seek advice, support, and guidance, probably from a medical practitioner. You know your own child best.

Five Practical Tips to Support Your Exam Student

Parents, here are five practical actions you can take to help your son or daughter be the best they can be around exam time. This advice may be particularly useful to those who’s oldest child is doing exams this year.

  • Help them maintain a well-balanced daily routine. You should guide your child to aim for a proper balance between revision and rest. After each exam or class test, they need time to rest and recharge before they can do any beneficial study for the next challenge. With a lot of tests in school at the minute, it is important to maintain that freshness where possible. Late-night study sessions are not advised.
  • Studies have shown that a good night’s sleep improves exam performance. All revision should end at least an hour before bedtime to allow your child time to unwind before sleep. Encourage them to conclude revision at a reasonable time and start unwinding in order to slow down their body and mind. This will result in a more refreshing night’s sleep. It is not advisable to fall straight into bed from their study desk. The issue here is that their mind will be buzzing for hours as they attempt to get to sleep. You will need to use a collaborative partnership approach for success on this action.
  • “You are what you eat”. What you eat and drink affects your performance in any activity, especially one involving mental sharpness. As a parent, you should try to ensure your child has nutritious food as exams approach. Start with breakfast each morning, the lunch they bring with them if they are facing long days, their evening meal, as well as snacks during the day. Grazing on junk food is very tempting at times of increased stress but should be avoided as much as possible.
  • Success is always a team effort. Drawing on the support of everything that is potentially positive in a student’s life helps to maximise exam performance. Such supports include a heightened awareness on the part of all family members in their interactions with the person doing exams. Meeting with friends and participation in sporting or social activities should be encouraged. All these factors help to maintain a student’s ‘high spirits’ during an extended exam period.
  • It is advisable not to over hype the importance of any subject examination. It is very easy in the middle of a stress-induced experience, such as a major exam, to get the whole event totally out of perspective. The secret here is to try and maintain their normal school routine. It is better to focus on their performance rather than their points. Parents should ensure their child is clear that your unconditional love and regard for them is in no way dependent on how they perform in the annual academic Olympics. Your affirmation is the greatest gift you can give them, prior to and during their tests. Good luck. Joe.

‘During these days, fortunes can turn around very quickly’

More details about Joe’s Maths Tuition Classes 2023 for 5th & 6th Year (Leaving Certificate Students) and his Award Winning ACE Maths Solution Books for all students can be found via the below links:

ACE Maths Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/ace-solution-books-package/

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Joe’s Jotter: How to Prepare for Exams ‘Home Alone’ (Episode 4)

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The Importance of Your Friends

Dear Students,

Being successful in any new routine is determined by how positive your outlook is. In order to maintain that positivity, keep in touch with friends via whatsApp and social media. Positivity also fosters better mental health. Maintaining contact with friends is vital, as you will understandably miss the lack of face-to-face interaction with them when at home revising. A conversation with mates will help you forget about burning issues and renew your energy. Always try and be positive in these conversations in order to boost and motivate each other. Keep in mind that you will spend most of your time studying alone, so social time on facetime or calls with your friends from school is important. Learn how to achieve a balance of phone use, leaving it outside your study area at all times. Sorry folks!

Maintain Some Form of Exercise

Maintain some form of exercise. I find that short walks allow ideas and thoughts on subjects to sink in. I’m not sure why?, but it works. On days not in school, try not to stay in bed past ten a.m. and eat plenty of fruit and vegetables in order to build the key vitamins in your system. While preparing at home, retain as many of your school routine habits as possible to facilitate seamless revision and learning.

Notice each day how you are feeling. In relation to emotions, its often the case that when you ‘name them’, you ‘tame them’. This awareness will help you be more in tune with your body and deal with any ‘down time’ should it arrive. Apparently, doing a quick five minute tidy of your space or bedroom increases positive feelings and emotions. Try it and see! If you do find yourself down in the dumps, be sure to talk to someone; anyone at all.

Trusting the Exam System

For exam students, you need to trust the fact that we have one of the most robust and fairest exam systems in the world. The exam papers are always marked fairly each year, no matter what the circumstances. It is currently a very transparent system, so please trust it. Focus on your own work and what you can control. The State Exams Commission (SEC) are hyper aware of the importance of student’s mental health right now and this has been reflected by the extra choice and options on this year’s exam papers.

Staying Positive

It is important to try and focus on one task at a time and not look too far ahead during times of stress. It is perfectly ok to be worried or anxious about uncertain situations and you should acknowledge the existence of these feelings. Try to find someone to talk to about stress or any worries you may have. It can be a friend, boyfriend/girlfriend, a sibling, a teacher, a relation, or a parent. Somehow when you talk through whats worrying you, it often becomes more manageable. Listening to negativity on social media or from friends can do more damage than good, especially around exam time. Premier league footballers don’t read negative press about themselves as they diligently prepare for their next game – they have been coached not to. Sticking to the exact facts will help you face up to the reality of each situation that you are faced with, whether that be in exams or life.

Keeping a Diary

I found keeping a diary useful in managing worries and anxieties and would encourage you to write your own thoughts regularly into a Journal; even just a list of uncertainties that may be playing on your mind. Try to remember that being overly anxious can prevent you from doing your best in exams. Learn and practice some calming techniques. Seek help from a professional if you feel it is all too much. Be sure to reach out.

Things Can Change Quickly

Varying what we do each day keeps our brains active and will allow less time for anxiety to creep in. As human beings, our minds often bring us to worst-case scenarios. We learn from experience that these rarely come to pass, with fear often being a false emotion. Cast your mind back to good times you had recently, things weren’t really that amazing then were they? Now remember a point in your life when you struggled; things quickly changed some days later and it didn’t seem as horrible as you expected in the end, did it?

“Nothing lasts forever, even cold November rain.“

Guns N’ Roses

Always focus on what you can control and the good people in your life. Stay positive, maintain contact with friends and deal with the exact reality of situations. You are more resilient and stronger than you think. Doing your fair share of revision each day and ticking off that task list you create (each night) will greatly reduce anxiety levels. Try my ‘Recommended ACE stability measures’ below to sustain confidence and combat your fears.

 Recommended ACE Stability Measures

  1. Tick off each topic in subjects as you complete and understand them.
  2. Focus on what you have completed each day (Not what you haven’t).
  3. Think positively about yourself.
  4. Plan something nice or enjoyable each day.
  5. Take things day by day.
  6. Set yourself little targets and subject challenges each day.
  7. Always remember that ‘You are enough’.

To read Episode 3 on ‘Preparing for Exams Home Alone’. click here.

More details about Joe’s Maths Tuition Classes 2023 for 5th & 6th Year (Leaving Certificate Students) and his Award Winning ACE Maths Solution Books for all students can be found via the below links:

ACE Maths Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/ace-solution-books-package/

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Maths Exams

Joe’s Jotter: How to become a Specialist at Maths Exams (Act 2)

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Joe’s Jotter: How to become a Specialist at Maths Exams (Act 2)

Thousands of students have gone through the exam system having achieved their dreams, so be sure to aim high and keep believing in yourself. Put a plan in place today, so that you can revise effectively for all your upcoming Maths exams. Here are my top twelve tips to ACE any Maths Exam – both in preparation and tackling an exam paper on the day.

Top Twelve ACE Tips to Success in Maths

  1. Do out a weekly study timetable ensuring Maths is prominent on it. Make sure there are loads of topic variety with Algebra and Functions being the Initial cornerstones of learning.
  2. Buy a hardback and enter all keynotes, new information learned, and formulae’s that are not in your log tables into it. Divide it into topics to find Information easier.
  3. Note all new words you learn each day. If you don’t understand the meaning of them, ask your teacher or google them. Write down their meaning in your own words when you find out. One of the biggest issues in Maths is not understanding the words used on the paper.
  4. Practice past exams questions to get used to the wording, layout, and style of them.
  5. “Homework is study”, so approach all Maths homework as an exam hall question.
  6. Practice challenging questions at home. Time yourself on each question to get used to ‘Exam Hall’ pressure. Stick rigidly to the timing for each question.
  7. Get a “study buddy” that will complete past exam questions for you and with you. You can then meet up regularly and share Information and exam solutions with each other.
  8. On the day of the exam, read the wordy questions three or four times and then step through them word by word, line by line, underlining the key words as you go.
  9. Prepare for each exam the night before by checking you have all the materials you need for it. This is especially important in Maths.
  10. Don’t be afraid to express yourself in simple English if you are not sure what Maths to use to solve a problem. The State Exams Commission (SEC) encourages this type of creativity.
  11. Buy yourself an Exam Paper Solutions Book. You can use this book to check the work you are doing and to help you get started on the more challenging exam questions.
  12. Start today.

The Importance of the Words and the Formulas

Lastly, the language of Maths is extremely important especially since the birth of ‘Project Maths’ in 2008. The State Exams Commission (SEC) now place more of an emphasis on students knowing and understanding concepts and topics, as opposed to just been able to do numerical calculations. There are more words than ever on our Junior and Leaving Cert Maths exam papers, and it is crucial that you start familiarising yourself with them.

If you are not familiar with the words and phrases that appear on the paper, you may not be even able to get a question started. This would be an awful shame given the amount of time you have spent learning the mathematical skills. You need to be aware that different words have a different meaning depending on the subject. For example, the word “Evaluate” in Maths is quite different to what it means in English. I believe that knowing the key words and phrases is now a key component of “Ace-ing” a Maths exam. Apply the principles that I have outlined in this feature article to ACE any Maths exam you take on in 2023.

Wishing you good luck students J. Joe

‘Winners are not people who never fail, but people who never quit.’

Read ACT 1 on ‘How to become a Specialist in Maths exams’ here.

Checkout a Parent recommendation on my Maths Tuition Classes here.

More details about Joe’s Maths Tuition Classes 2023 for 5th & 6th Year (Leaving Certificate Students) and his Award Winning ACE Maths Solution Books for all students can be found via the below links:

ACE Maths Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/ace-solution-books-package/

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Joe’s Jotter: Positive Ways to Handle Exam Strain

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  1. Play is as important as study

It is vital that you build in time to have fun and relax between study sessions. Use your Lifestyle (Study) Timetable to help you plan enjoyable activities of relaxation and ‘play’. Going to watch your favourite team is a great way of taking your mind off school. Listening to music works also, especially if you combine it with a walk. Neuroscientists have done research into the link between music and anxiety. They say they have discovered a song that reduces anxiety by sixty-five percent. The song is called ‘Weightless’ and is written by ‘Marconi Union’. Download it.

“Life moves pretty fast, if you don’t stop and look around once in a while,
you might just miss it”
Ferris Bueller

  1. Take and enjoy your breaks

Breaks are to be viewed as a positive around exam time. Academics with high concentration levels know the importance of breaks. Air traffic controllers are forced to take regular breaks to ensure they stay fresh. If you find that you are losing concentration, take a short break – go for a walk, talk to a friend, or just do something different. When you resume study, you will feel refreshed and be better able to concentrate on your revision again. Never beat yourself up for taking little breaks to keep fresh.

  1. Liquid discipline

I would discourage you from drinking too much coffee, tea, or fizzy drinks around exam time. Caffeine may key you up and cluster your thinking. Naturally, you will feel a sugar rush from fizzies but remember “what goes up must come down!”. Just for this short period, maybe try some herbal teas like camomile or peppermint. I find peppermint tea is a great stomach settler. Try and get as much water into you as possible as the exams approach. If you become dehydrated from the lack of water, your concentration levels will drop. This is a scientifically proven fact.

  1. Exercise the body as well as the mind

Regular moderate exercise such as a brisk walk, a swim or session in the gym will boost energy, clear the mind, and help reduce feelings of anxiety. Exercise releases endorphins (the good mood feeling) and will help you see the positives of life. A walk outside will get air into your lungs with a short thirty minute stroll being enough to reap many benefits.

Seeing and breathing in the senses of nature has been proven to enhance relaxation. Team sports are also brilliant as they improve relationships with your friends, allowing you to feel good about yourself. Sport will bring discipline to your studies as well as enhancing your personal confidence. From coaching Gaelic Football and Soccer teams over the years, I am of the opinion that students who involve themselves in sport tend to perform better in exams.

In general, exercise has actually been proven to have benefits as exams draw closer. The results of a University College Cork study (published in the US Journal of School Health in January 2013) headed by Dr John Bradley, back up this claim. In the survey of over four hundred boys who graduated from Secondary school between 2008 and 2011, those who participated in some kind of sport during the last two years of school “conferred an extra 25.4 CAO points benefit to their final Leaving Certificate score”. This increase is similar to what a student would receive from the current Maths bonus point’s structure. Need I say more? In other studies, it was also found that exercise helps one sleep better as the body is more physically tired (in a good way) and needs rest. In essence, when you exercise, endorphins induce a requirement for rest and feelings of sleep. 

  1. Do your best to retain control

It is natural to feel some nerves prior to the commencement of exams, however getting excessively nervous is counterproductive, as it will hinder your ability to think clearly. Make sure to have a plan in place on the off chance that your mind goes blank. Breathing deeply will help should this scenario occur. Students always know more than they think they do. I constantly see them underestimating themselves and their abilities. Believe in yourself and all the preparation and revision you have done, both at home and in school.

Remember, the best thing you can do is to try and stay calm and retain control of your emotions, as this will make it easier to recall information. Before the exams, write down all fears and worries that you are currently experiencing in your journal. This will give you more of an awareness of what you are anxious about and why these feelings are actually occurring. Writing things down also serves to ease the burden of carrying everything around in your head. Wishing you luck as always. Joe.

‘Stick to a daily plan of revision as close to it as you can.’

More details about Joe’s Maths Tuition Classes 2023 for 5th & 6th Year (Leaving Certificate Students) and his Award Winning ACE Maths Solution Books for all students can be found via the below links:

ACE Maths Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/ace-solution-books-package/

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