Joe’s Jotter: Two Underused Revision Hacks for Success

Students,

As Christmas exam time draws closer, here are two under-rated hacks that might just give you the edge as you try to get the most out of upcoming revision time.

  1. Record yourself

With so many portable digital devices to play content on now, recording audio is a great option being availed of now by many students. This is an excellent revision hack if you have long commutes or spend a lot of time in the car. Playing back notes you have recorded is a very successful method of retaining information. I have recorded questions and answers for job interviews previously, where I called out a possible interview question and then proceeded to answer it as best I could. Recording information on various subjects has been helpful during my career, when different jobs and challenges emerged. The great thing about recorded audio is that it will always be at your fingertips and is easily accessed from multiple devices. You can also barter this material with your study buddy i.e. swap it for other audio content or even for a great set of their written notes.

Bullet points, facts, and lists are ideal revision components that can be recorded to your phone and replayed repeatedly. Remember, you will need to repeat any learning process regularly to achieve success. Having a portable learning tool like your phone or a small hardback in your pocket is great to keep you tuned in when opportunities to catch up arise.

  1. Rotate your learning

I feel it is important to rotate the type of learning you do in order to keep the brain fresh and interested. When you sit down at the start of the week to plan your Lifestyle (Study) Timetable, rotate your learning in each study block. This rotation tricks the brain into going longer. You should even rotate your place of study: for example, study a specific topic in the garden, it will make it easier to recall what you revised there, since you have created an association with this part of your home. Rotation could also involve going down the road to your grandparents or your local library to write some essays or update your hardback. Initiatives like this maintain freshness in your preparation. These ensure each homework or revision session gets the attention it deserves. A change is as good as a rest!

Rotating your learning is achieved by using multiple ways to take in and understand material and notes. There are so many ways you can acquire Information these days. Rotate your learning between reading, writing notes, developing summaries, listening to podcasts, recording something you have learned into your phone, playing back lists through your headphones, searching the Internet, reading out loud, getting someone to examine you, watching educational YouTube videos, watching educational tv programmes, watching ted talks, creating flashcards, summary hardbacks, using postits, sticking key notes up on your wall, underlining and highlighting or discussing a sub-topic with your friends in a study group etc. These are just some of the learning options available to you, which you could and should be using. Select and practice a number of these in order to try and find out what works for you. After that, rinse and repeat the winning formula. Good luck. Joe

‘Don’t let what you cannot do interfere with what you can do.’

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

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

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

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Joe’s Jotter: RIGHT it out by WRITING it out

With a lot of schools switching to iPads and tablets as a mode of Education, the debate rages about which type of notes is best to have from a classroom lecture i.e., typed or handwritten ones. I still think there is a question mark about learning content in digital format, with it being more suitable in some subjects than others. If a student has the possibility of printing something out, in my opinion they should do. With decent printers just over €50, I feel this is a great long-term investment for parents of children at Secondary School.

From listening to students, I think many of them still like to hold a hard copy book in their hand when learning. Even as an ICT teacher myself, I believe that the old-fashioned way of taking notes by hand is still best. Since we now can type faster than we write, students are tending to type notes verbatim (exactly to the word) as they try to keep up with their teacher. We are copying down a lot of the teacher’s language directly. There would be more of our own language than the teacher’s used in a handwritten set of notes, which makes them easier to understand and ultimately, of better quality. The following case for handwritten notes applies to both Secondary and Third level education…

Why handwritten notes are still the market leader…

  • With handwritten notes, we spend more time thinking about the Information before the actual physical act of writing occurs. If we are attempting to type everything exactly as spoken, there is less thinking time about that same information. In essence, I believe that slightly more learning takes place during the actual handwriting process.
  • Keywords are valuable in any content. When you are taking down notes by hand in a lecture/class, you are listening out for the keywords to ensure you are grasping the bones of the sentence. Again, while typing you are trying to get everything down and so your brain misses out on this ‘essential keyword focus’.
  • When handwriting notes, you are putting your own special stamp on them, making it easier to recall information you have translated into your own words.
  • During class, you can link handwritten notes quicker with bubbles and arrows. While doing this, you are learning what the connections are in the teachers’ content.
  • Above all, writing your own notes engages the mind and prompts new ideas and thoughts. It enables your brain to switch to ‘background learning’ mode while you prepare and enhance your notes.

Learning in a variety of ways is the key to success. Working with a study buddy or group is another way that many don’t consider. Students can swap essays and notes, and indeed even teach each other. Upon swapping these notes with friends, they should rewrite them into understandable Information, in order to be able to revise them better later. I am a big believer in summarising your own notes. By all means you can work in a group or with a ‘study buddy’, but once you get their essays or interpretation of topics; highlight and underline their key points. The final piece of the puzzle is summing their content into your own words, to ensure that you really understand it. In my experience, there is a much higher chance of Information sticking with personal and individualised handwritten notes – the old ways are still the best. Try it and see! Good luck, Joe

‘Work hard, dream big, never give up’

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

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

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

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Joe’s Jotter: My ACE Pointers to Help Students Settle Back into Revision

Students,

As we reach the end of our first month in school, you may be struggling to return to some kind of a revision routine. Here are six useful signposts for all students to get you back into the swing of completing homework and revising classwork.

  1. Take regular breaks.

Yes, really! Taking short five-minute breaks every thirty minutes should keep you fresh and focused. However, make sure that five minutes doesn’t turn into an hour! Go for a short walk, call up a friend or have a snack and then come back to your work on time. Some studies have found that having a natter with friends can have a positive effect on memory and that laughing increases serotonin (the body’s chemical that makes you happy). It is important to leave your study area during your breaks to get a change of perspective and return with renewed energy for the next session. Enjoyable breaks will allow you to become more efficient with your study blocks. Setting mini targets like completing a long exam question followed by a prolonged break is a smart way to operate.

  1. Stay alert and interested.

When reading, it is a good idea to make notes or highlight key terms. I believe you should always revise with a pen at hand. I feel that just by reading a piece of text, you are not actively engaging with it. In my experience, you will remember more by summarising it or even just by making red or green sub notes on the page. This method keeps the brain tuned in to the task at hand. Other learning methods you might consider for variety include YouTube videos, online quizzes, or creating mind maps. If you find yourself struggling to stay alert, you are probably tired, and it may be time for a break or retirement for the evening.

  1. Be ruthless with your notes.

Many students go to educational institutions after Christmas to boost their store of materials and, of course, their confidence. However, I have seen many students over the years become overwhelmed with too much material and they just end up getting swamped, not knowing where to start. In subject areas you find difficult, reduce your material into manageable, thought-provoking snippets. If you take notes in class, make sure to date and keep them for revision later. Dig out last year’s material requiring revision at this point. It is important to keep a record of what topics you have done in class and how long your teacher has spent on them. This will ensure you are clear on what has been covered and what still needs to be investigated. Being persistently consistent in relation to your notes is a big factor in doing well in exams.

  1. Set goals and keep records.

Setting goals will help you monitor your study and will give you something to work towards. If you under perform in a class test, set a mini goal for your next test to improve by a certain percentage. In your school journal, write down all your goals and check them off as you complete them – name it a ‘Junior Cycle or Leaving Cert bucket list’. Ultimately, use long-term goals to motivate you to ACE the short-term ones. Long-term goals might include a points target in your Leaving Certificate, a possible trip to third level or scoring that rewarding job later. A short-term goal will help you get where you want to be long term. Reviewing the success of your short-term goals every two weeks will give you a sense of achievement. An example of a short-term goal could involve summarising and understanding a chapter from your book and completing a past exam question relating to it. All my successful students over the years have created plans and set goals for themselves.

  1. Earn your rewards.

Don’t forget to ‘have a life’ as you develop a routine that works for you. Reward yourself after a long study session with a trip to the cinema or visit to your friends. Ultimately, reward yourself with breaks, taking a reasonable one after every good hour’s work. There is nothing wrong with the odd bar of chocolate, ice-cream, or packet of gummy bears; everyone who has done something constructive deserves a little thank you. Earn rewards with each thorough revision session you complete. This will Increase motivation and improve your overall revision output.

  1. Start thinking about Past Exam papers.

Those of you in Exam years: Are you familiar with the layout of each exam paper and its marking scheme? If not, you need to get checking. You can source all the past exam papers in the ‘Examinations Material Archive’ section of the examinations.ie website. If you are doing exams in 2023 and haven’t a set of exam papers for each subject, don’t delay, get them today. A large part of your revision should be to assess and practice answering questions from past exam papers (under time pressure) on the topics you have covered in class. Remember also that each subject’s exam paper is different, so you need to familiarise yourself in each subject. You need to find out the exact layout and style of each individual paper. Is there a choice in sections? How many questions do you need to attempt in each section? Are there short/long questions or both? And most importantly, how long can you plan to spend on each individual question? Being super familiar with paper layout is key. Joe

‘Eat that Elephant, chunk by chunk, bit by bit, step by step.’

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 Tuition Classes: acesolutionbooks.com/ace-maths-tuition

Joe’s Facebook Page: https://www.facebook.com/JoeMcCormackEducationalExpert

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Joe’s Jotter: What Maths You Should Know for Higher Level Paper 2 2022

 

Leaving Higher Maths Paper 2 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 past exam 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 probability 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
    • e.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 does 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.

To view my recent feature article on ‘Best Practice for LC Higher Maths Paper 1’, click here.

More details about Joe as a Maths Tutor for Junior Cycle and Leaving Certificate (2022) 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: Shorthand Best Practice for LC Maths Paper 1

 

General Guidance for Leaving Cert Higher Maths Paper 1

  • Leaving Cert Paper 1 in Maths is on Friday 10th 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 appeared. Financial Maths 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 – 2022 only] – Paper 1 and 2

The layout is normally 6 short questions (150 marks) and 3 or 4 long questions (150 marks). This is not the layout in 2022.

  • In 2022, we have Section A: 6 short questions of thirty marks (Do 4 of these).
  • Section B: These are the more practical real life scenario Questions..4 long questions on the paper (Do 2 of these) (fifty 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 2022: (Apply the 20:30 rule for Exams 2022)
    • 10 mins to read paper and carefully choose questions at the start
    • Short Question (4) (30 marks) – Max of 20 minutes each
    • Long Questions (2) (50 marks) – Max of 30 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

To view last week’s feature article on ‘The ACE Exam Day Quick Ref Guide’, click here.

More details about Joe’s Maths Tuition Classes for Junior Cycle and Leaving Certificate (2022) 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: The ACE Exam Day Quick Reference Guide 2022

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:

Pointers to Get You into the Exam 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 fundamental to 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.

To view last weeks feature article on ‘Final Exam Prep from Home with Parental Advice’, click here.

More details about Joe’s Maths Tuition Classes for Junior Cycle and Leaving Certificate (2022) 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: The ACE Guide to Exam Preparation from Home (Parental Support and Final Thoughts)

 

 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

To view last week’s feature article on the ‘Importance of Nutrition around exam time’, click here.

More details about Joe’s Maths Tuition Classes for Junior Cycle and Leaving Certificate (2022) 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

*****

*****

Photo:@ZhangChaosheng

Joe’s Jotter: Exams are ‘Feeding Time at the Zoo’

 

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

 

To view my last feature post on ‘Nifty Tricks to Remember Maths Formulas’, click here.

More details about Joe’s Maths Tuition Classes for Junior Cycle and Leaving Certificate (2022) 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

*****

*****

 

Photo:@ZhangChaosheng

Joe’s Jotter: How to ACE Any Maths Exam

 

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.

To view last week’s feature article on ‘How to Prepare for an Exam Efficiently at Home’, click here.

More details about Joe’s Maths Tuition Classes for Junior Cycle and Leaving Certificate (2022) 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

*****

*****

Photo: @ZhangChaosheng

Joe’s Jotter: Maximising Your Results (Junior & Leaving Cert 2022)

 

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’

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.

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.

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.

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

To view last week’s article on ‘Positive Ways to Cope with Exam Strain’, click here.

More details about Joe as a Maths Tutor for Junior Cycle and Leaving Certificate (2022) 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

*****

*****
Photo: @ZhangChaosheng

Joe’s Jotter: How to Revise more Effectively

 

Spending a short amount of quality time with someone is better than spending hours paying very little attention to them at all. Revising for an exam is similar. You must hit revision in small intense bursts where you give it your 100% attention. The following are three useful efficiencies that will help you construct good study sessions.

Rotate your Place of Study

It is good practice to rotate where you study. The main reason for this is that if you start to get bored or listless there, you’ll associate boredom with learning. Try other places such as the kitchen table, the park, the back garden, the library or just a different room; anywhere you want to really. Try revising certain topics in unusual locations. An example of this could be to learn English drama quotes on your lawn in the sun. When you need to remember these quotes in the exam hall, you can visualise yourself being back there in the sun, recalling the day you learned them and hopefully triggering your mind to recall that information. Experiment to see if music or TV helps you concentrate. Some subjects will be more suited to this than others. I believe some Maths topics do not require one hundred percent attention, an example being adding words or formula’s to your hardback notebook. This, however, may be associated with my aptitude for the subject. You may be able to listen to some low level music in subjects you are more tuned into. This varies from person to person obviously and definitely won’t work for every subject.

Leaving Material Out

Come the next few weeks, as regular as a clock ticks, the rumour mill kicks into action. Comments like “Oh, this is coming up this year”, “I heard this is expected to come up”, “There’s no way that will be on the paper” or even ‘I’m leaving that out’ are common both online and offline. Please be aware that if a topic is listed on the syllabus for your subject, it can appear on the paper, even if it came up last year. Your teacher will source you a copy of the syllabus document if you wish to view it, or alternatively you can download it online. The syllabus document will tell you exactly what can be examined in the subject and is useful when you are creating a list of topics to be covered for each subject.

In relation to exam preparation, I know you all will try cutting corners; you will predict, throw topics away and ignore information. I would not recommend leaving out big chunks of the course. The State Exams Commission, who set the exam papers each year, state that they do not want any element of predictability in them. In general my advice is to cover your bases well and be as sensible as you can.

The plan now should be to continue to whittle down and reduce the volume of your keynotes. I am convinced that summarising information helps assimilate it better and leaves one with a more concise set of notes. Keep re-writing summaries into something manageable that you can read and understand. As exams approach, be careful who you listen to. Teachers with many years’ experience (whether that’s your subject teacher or someone you know well) won’t put you far wrong. Having seen many exam papers, I think you can certainly place a good level of trust in them. The newspaper revision supplements, written by experienced professionals, can be a useful revision aid also. However, too much notes are a bad thing and may overwhelm you. Summarise, Summarise, Summarise!

Implement a Solid Study Plan Now

Now that you are aware and have listed out all the topics on a sheet (per subject), it is time to make a robust yet practical study plan that you can follow. Here are twenty practical study tips you can start using today:

  • Divide your study time into small sessions
  • Take a break of five or ten minutes after every session
  • Revise during the hours when you feel most productive
  • Each student has their own method of studying, so figure yours out and use it
  • Divide study times as per topics and effort needed. Difficult topics = More time
  • Underlining the key points for each topic is a great habit to start now
  • Make a practical study plan you can follow. A plan that is not doable is a big NO
  • Short notes should be just that – short and concise. This makes revision easier later
  • Use abbreviations and note down the key points only. No waffle or padding
  • Do not skip a topic because it seems difficult. Revise it a few times to let it sink in
  • Use revision breaks for something productive such as music, exercise, or activities
  • Always set a target score you are aiming towards in each subject
  • Take tests regularly. Your test scores are a regular reminder of your target score
  • Maintain test records so that you know which subtopics you need to work on
  • Sleep 7-8 hours daily. Losing sleep will affect your ability to concentrate and retain
  • Stay as healthy as you possibly can. Exercise
  • You cannot change the amount of revision you did yesterday. Start today
  • Be kind to yourself. Use positive self-talk each day
  • Reflect on the amount of revision you did today, instead of what you didn’t do
  • If today’s study plan didn’t go well, revisit it and tweak tomorrows one

and remember..

“It is never too late to step into your own greatness”

Joe McCormack

To view last weeks article on ‘How to become a Specialist at Maths Exams (Part 1)’, click here.

More details about Joe as a Maths Tutor for Junior Cycle and Leaving Certificate (2022) 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

*****

*****

Photo: @ZhangChaosheng

Joe’s Jotter: How to become a Specialist at Maths Exams (Part 1)


Surprisingly, thousands of top Maths students over the years have struggled when it comes to performing to their ability in Maths exams. In my experience, there is now a disconnect between how teachers teach a Maths class and the skills students use during a Maths test.

For some students, a fear almost overcomes them with the thought of a Maths test upcoming.  Similarly, a fair percentage of students that breeze through other subject exams freeze during Maths ones. A significant aspect of Teaching Maths now is helping students overcome their anxieties, while teaching them the key techniques to retain their calmness and confidence.

Sitting a Maths exam is a skill, but it is something that if you practice and apply a defined strategy to, you can get quite good at it. Every day, I work closely with students to teach them these vital skills to excel in all kinds of Maths assessments.  Below are my insights into how to ACE any Maths exam – from the five minute class test to the full on final state examination.

Make Changes to How You Revise and Prepare for Maths Exams

Below are some clipits of advice to help you get set for a Maths exam. Applying these practical guidelines in your revision plan and during exams will 100% improve your grades.

  1. Apply the skills you have learned from practicing past exam questions under time pressure at home. A time budget plan is a key part to success in any Maths exam.
  2. Keep a hardback of Maths notes. Being familiar with words that appear on Maths papers are vital to aid understanding of the questions you are being quizzed on.
  3. Find multiple-choice questions online or ask your teacher if they have some. These are like ‘speed-studying’ and require less time to work through and test yourself on.
  4. Attempt past exam questions. After completing each past exam question, be sure to view its exact and fully developed solution to see how your work stacks up against it.
  5. Stay alert for key words and phrases to guide you through a question. For example, the volume of an object should allow you to find measurements on it by working backwards.
  6. Use familiar mathematics to guide you. Think back to relate the test question to a concept, topic, or technique your teacher did with you in class.
  7. Formulas are key in Maths. Reflect on what formula you know that may help you solve the problem. This formula may in fact be printed on the test paper or in your log tables.
  8. Can the diagram in the question help? Writing relevant information on a given diagram may prompt relevant thoughts and connections to help you start a Maths question.
  9. Show all workings. Always show how to get from one step to the next. Provide all your workings out to support your answer. At the end of each question, always ask yourself ‘Is this a realistic answer or solution to the question being asked?’ Example: Ten metres would never be an acceptable answer for the height of a pencil. You get the Idea.
  10. Read the entire question… twice. Check what the question is asking and in what form you need to present the answer. For example, you might need to round the final answer (decimal places, significant figures, scientific notation) or convert to an annual amount.
  11. Note the key Information given in the question onto your answer book. Subsequently, note the Information that isn’t present. Link these two to help complete the full jigsaw.
  12. Don’t be afraid to utilise diagrams or tables in your solution. This will clarify your understanding of the information in the question and support your workings out.
  13. Show all relevant substitution (subbing in). This shows the examiner that correct Maths processes are being used (e.g. showing the substitution of an x-value into a function). Joe

To view last weeks article on ‘The ACE Guide to Exam Prep from Home”, click here.

More details about Joe as a Maths Tutor for Junior Cycle and Leaving Certificate (2022) 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

*****

*****

Photo:@ZhangChaosheng

Joe’s Jotter: The ACE Guide to Exam Preparation from Home (Part 3 of 6)


Dealing with Motivation Issues – ‘I Don’t Know Where to Start’

Students, if you are struggling for motivation at home right now, put a half day’s timetable in place tonight and give it a go tomorrow. Set each revision block to just thirty minutes and time will fly. As you begin to see progress, your motivation will grow. An alternative approach to developing a timetable would be to create a task list. Each night you could write down a list of ten to twelve challenges you would like to achieve in various subjects the next day. Tick them off then as you get them completed. If you currently feel you are swamped with work and worry, this is now your ‘get out of jail’ card, so try it.

Set Measurable Targets

It is so important to set targets, otherwise timetables and lists are just ‘drive bys’ and ‘hopeful’ preparations that you will never be answerable to. We all need targets to help us achieve things. It is also a fact that we are more likely to reach them if they are written down.

Once you set a measurable target (example: eight pages from a textbook to be summarised into your own words), assess how much progress you have made. On completion, tick it off from your full sub-topic list for the subject. A short term target could be as simple as ‘understanding emotions’ from two English poems or practicing writing letters to an imaginary pen pal in whatever modern foreign language you study. Remember if you don’t know where to start, commence with the basics of a topic. i.e. view the first few chapters of your textbook or the first set of notes your teacher gave you on it. Start small and then when you get up and running and notice progress, you will be encouraged by your own efforts. Just get a routine going somehow, and then rinse and repeat. Information about setting up a full ‘Lifestyle Study Timetable’ is detailed in my textbook ‘How to ACE the Leaving Certificate’ for all subjects.

Write out a List of Motivations in Your Journal

Another tip to improve motivation is to write out a list of medium and long term targets in your Journal and then write ten reasons underneath explaining your motivation to ACE them. On lazy days, open that page and read your ‘motivational list’,  thinking about how you felt when you wrote them. This will inspire you to get started on revision and keep going when days get tough. Revising and preparing may seem like it is solely for your upcoming exam, but you will discover that learning is a lifelong process. Try to enjoy the challenge of getting that timetable completed or ticking off those tasks; you have nothing to lose and all to gain. It doesn’t have to be perfect, just give it your all.

For those of you who continue to struggle to get started on revision, start by writing down the activities you lean towards to dodge study. Put this list on your wall and be fully aware of the times you drift towards them. Being aware of this ‘distraction list’ will remind you of what you really should be putting your mind to at any given moment. Any effort or movement towards starting a short revision block should motivate you to commence a second one i.e. The hardest part of being successful with any task is often just getting it started. Imagine yourself, on your side, rolling down a steep hill. You will gain momentum as you go…and it could even be fun. Give yourself plenty of breaks as a reward for your hard work.

The Many and Best Ways to Learn

The key to any successful Lifestyle (Study) Timetable is keeping your brain fresh by completing different tasks every thirty minutes. Rotate your learning between different subjects but also within subjects. What I mean by this is: Revise in all the different ways possible. You only need a few repeatable methods that work for you, but you won’t know which ones suit until you actually road test them yourself. The below is a sample list of the many ways we learn. I am sure you could add even more creative and interesting ones to this list matching your personality. Pick out four or five of the below approaches and give them a try today.

  1. Write a bulleted list to explain and summarise a short book extract.
  2. Summarise a chapter of your textbook into your own words.
  3. Create flash cards with a list of facts. Limit each card to seven key points.
  4. Record a summary using the voice memo function on your phone. Replay back.
  5. Put keywords and their definition for each subject (per topic) into a hardback.
  6. View a YouTube video of an expert or listen to audio/podcasts on topics.
  7. Teach or discuss what you have learned with a member of your family.
  8. Get your parents/siblings to ask you questions on a topic you have just revised.
  9. Read a summary out loud to yourself.
  10. Rotate your place of study to retain freshness. e.g. the garden or kitchen table.
  11. Create Bubble diagrams with Microsoft PowerPoint to illustrate topic linkages.
  12. Create a visual Mind Map for a sub-topic you are struggling with.
  13. Stick nine postits onto an A4 sheet. Write a summary with keywords onto them.
  14. Use different coloured pens (red and green) to draw attention to key points.
  15. Use different coloured highlighters to mark relevant dates and details of note.
  16. Chat to friends to find out how they are approaching certain subjects/topics.
  17. Stick stickies/sheets on your wall for memory. Rotate this content every five days.
  18. Research topics on the Internet to give yourself extra pieces of information.
  19. Continually test yourself with sample tests, online quizzes & past exam papers.
  20. Use Graphic Organisers to create a more visual set of notes (samples below).
Sample Graphic Organisers*

*Source: Using Graphic Organisers in Teaching and Learning (SLSS)

To read last weeks article on ‘The Core Skills required to Revise Maths Better”, click here.

More details about Joe as a Maths Tutor for Junior Cycle and Leaving Certificate (2022) 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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Photo: @ZhangChaosheng

Joe’s Jotter: Core Skills for Revising Maths Better at Home

In light of the how the last few years have panned out, students (and indeed their Parents) need to examine closely their daily routine to ensure effective learning is now happening. Maths is a subject that tends to take up more time than others and hence 3rd and 6th years should firstly consolidate what they know and then make a list of topics that they need to learn and revise going forward. Spending time on past exam questions and learning the terminology that appears on them is wise use of any student’s time now.

From this point of view, I would recommend that all exam students start a ‘Maths hardback’. Fill this hardback with new words, formulae’s not present in the log tables and keynotes. Divide the hardback into sections, one for each topic on the course. Secondly, when revising at home, students should test themselves against the clock on full or partial past exam questions. Set these as your two main targets for the next few months.

Algebra is the Language of Maths

In Junior and Leaving Cert Maths, you need a good solid Algebra foundation to build on in order to excel in topics like Geometry, Trigonometry, Functions and Graphs and Probability. I estimate that Algebra is linked to at least twenty five percent of Maths exam papers at all levels now. Take time to understand the rules of Algebra especially those linked to expressions, functions, and graphs. With all its linkages, I, one hundred percent        think that Algebra is the most important topic in Maths. The words and phrases that appear in your book and in the past exam papers have become a close second. The State Exams Commission (SEC) now place more emphasis on students knowing and understanding what things mean in Maths, than just traditional numerical calculations.

There is also more ‘English’ than ever on Maths exam papers, and it is crucial that you start familiarising yourself with these words. If you are not familiar with the words and phrases that appear on the paper, you may not even be able to get a question started. This would be an awful shame given the amount of time you have spent learning mathematical concepts on your course. If you have dyslexia, I understand that dealing with words in Maths is doubly difficult. You need to be aware that different words have a different meaning depending on the subject you are studying. For example, the word ‘Evaluate’ in Maths is very different to its meaning in the subject English.

In my book ‘How to ACE the Leaving Certificate’ for all subjects, there is a full chapter advising how you can improve your Maths. In this book, I present and explain one hundred sample key words and phrases to kick start your understanding of the language of Maths. This list is suitable for both Junior and Senior Cycle students, remembering that some of the more difficult words would not appear on a Junior Cycle paper. I would strongly encourage students to add to this list, investigating the exact meaning of words you come across daily. You will learn loads through your own active investigations.

In summary, I recommend that every time you encounter a new Maths word or formula, write down what it means to you in an A5/A6 hardback. This hack can be applied to all subjects and these hardbacks can be carried with you (literally) all the way up to sixth year. Using simple explanations that you understand in your hardbacks will help you recall what the words mean later. Being familiar with the words that appear on a Maths exam paper has now become a key component of success in the subject.

Test yourself at home in Maths

The more ‘exam smart’ you are, the better you will perform on exam day. I have seen the best students do homework to perfection all year, really knowing their stuff, but ultimately not reach their potential In Maths come June. Every year loads of super students misjudge the timing on the paper. It is imperative that you stick exactly to the allocated time for each question. In Leaving Cert Maths, the timing is different this year due to increased choice on the paper. Junior Cycle timing in Maths will be written on the paper.

You should now start timing yourself on past exam questions at home. At Leaving Cert level, part a’s and b’s of Section A are a good place to start. Attempt questions that look familiar first, maybe even consulting your book/notes from time to time. It’s all learning. Once completed, check your workings out against a good exam paper solutions book. If you have struggled to make reasonable inroads into answering, I suggest you re-write the steps of the full solution on a page, really thinking about why each step is important as you write it. Every few weeks, tackle some longer questions and write out the steps (in English) how you would solve it. This better solidifies the method you used in your head.

There are many advantages to creating your own ‘home test environment’. You should constantly test yourself on material revised. During these mini home tests, I would use a stopwatch to ensure you are ‘sticking to the time’ for each individual question part. This is vital across all subjects, but especially in Maths. In creating this little bit of time pressure, you are replicating the exam hall environment. Train as you propose to play is the idea here.

Please do get in touch with me if you have any Maths queries. I would be delighted to guide or help you in some way. Thanks for reading. Joe

To view last week’s feature article on ‘The Many Benefits of Doing Transition Year’, click here.

More details about Joe as a Maths Tutor for Junior Cycle and Leaving Certificate (2022) 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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Photo:@ZhangChaosheng

Joe’s Jotter: Grade Inflation 2022 – Startling Subject Statistics

With Leaving Certificate grades ‘apparently’ rising recently, I decided to do my own comparison analysis of Leaving Certificate results from the years 2018 and 2021 as per Table 1 below. Over 90% of students sat 245,850 leaving cert papers in 2021. In comparing the written papers that the students sat against the accredited grades given by their schools, the results show that 68% of accredited grades were inaccurate (i.e. they were at least a grade out compared to what the student scored in their June sit down exams). Firstly, this margin of error is way too high to endorse the ‘Accredited Grades’ process.

Upon looking closer at this data, the percentage of students scoring a H4 or above in 2021 (A H4 is between 60% and 70% at higher level) has produced very surprising results. What amazed me from looking at the statistics was how grades in nearly all subjects have jumped in three short years. Across the twelve subjects I sampled, the average increase (H4 grades or above) when comparing LC 2018 to 2021 was an eye watering 14%. This is substantial.

Table 1: The percentage of students that scored a H4 or above in LC 2021 and LC 2018*

Sample Subject
Percentage of Students achieving
a H4 or above (2021 in Red) (2018 Bracketed)
Music 95% (89%)  +6%
Technology 83% (72%) +11%
Engineering 78% (70%) +8%
Irish 84% (70%) +14%
Design and Communication Graphics (DCG) 88% (70%) +18%
Home Economics (S&S) 82% (68%) +14%
Accounting 84% (63%) +21%
Biology 73% (61%) +12%
Chemistry 80% (61%) +19%
Maths 73% (60%) +13%
Politics and Society 74% (59%) +15%
Physics 78% (59%)  +19%

*Source: Data from www.examinations.ie

From this data, my feeling is that you cannot compare Leaving Cert students who completed exams before 2018 to the 2020 or 2021 cohort; and of course we are doing so. This throws up a lot of questions about where our education system is going. It seems serious inconsistency has set in, with a new benchmark set for future student results.

Is it now a ‘medal for everyone’ mentality, with this seemingly watershed moment in 2020? How can we even compare Leaving Certificate results before and during/after the pandemic? To me this ‘Grade Inflation’ whiffs of optics and how Ireland’s PISA scores ‘need’ to compare globally. I feel that the department has taken the opportunity to ramp our scores right up under the darkness of pandemic cover. From the data and in my view, ‘Accredited grades’ hasn’t worked and isn’t a future option. That’s not to say that I wouldn’t welcome a Leaving Certificate review now, with a view to more continuous assessment.

Adding Increased marking scheme flexibility to this emerging data, the bell curve has all but been eliminated, while shockingly some students who got the maximum 625 points in 2021 didn’t even get their first choice in college. If the model of the last two years remains in place for our 2022 6th years, many of these students will be heading to third level without having the experience of completing a State Exam. This will put them at an immediate disadvantage heading into first year. Students are scoring higher than ever now, but are they more knowledgeable than their predecessors? I doubt it. Radical percentage increases over such a short period of time like this doesn’t sit well with me at all. It may well stabilise itself in future years, but worryingly a new bar and paradigm has been set, and like everything that changes, the genie is out of the bottle now.

See below for details about Joe as a Maths Tutor and his ACE Maths Solution Books 2022.

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

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

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