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: Nifty Tricks to Remember Maths Formulas

 

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.

 

To view last week’s feature article on ‘Guiding Your Child Through Exams 2022’, 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: Why Practicing Past Exam Questions in Maths is Crucial

 

Practicing past exam questions is essential if you’re looking to score highly in either Higher or Ordinary level Maths this June. Similar question types come up regularly; but you still need to revise all the topics on your course, as the Maths exam isn’t predictable anymore. Both sections (A and B) at Leaving Cert higher and ordinary levels are important and the correct amount of time must be left for the longer questions in Section B, as they tend to require more thought.

The new Maths syllabus at both Junior and Leaving Certificate level is quite crowded with a lot of material to get through, not to mention trying to link up topics in true Project Maths style. Incidentally ‘Project Maths’ was the name given to the subject ‘Mathematics’ when it was rebranded in 2008. It has now reverted to ‘Maths’ after this bedding in period.

Why Past Exam Questions are Key!

With so much to cover during class time, it is difficult for teachers to expose their students to any substantial level of past exam questions during term time. The reality is that many teachers will only fully complete the course after Easter, through no fault of their own. It is up to each individual student to dust off their book of past exam papers and start by initially attempting the part (a)’s and (b)’s of as many exam questions as they can. Initially focus on topics you have covered yourself in class in order to build up your competence. My advice is to work on the last six or seven years past papers to get a grasp on what comes up in certain topics. If your exam paper book is filling up, re-print the papers in it. These are free to download on the examinations website. Set your stopwatch and test to see can you really do a question against the clock without your notes.

‘Do an exam question a day, and start today’

Doctor Maths, the Poet.

To commence, attempt all past exam questions to the best of your ability with guidance from your textbook and class notes. This allows you an access route into questions you are unable to start. Subsequently, refer to a good solutions book to see how accurately you are progressing. With an unprecedented level of detail, my exam paper solutions (ACE Maths Solution Books) at both Junior and Leaving Certificate levels are an ideal companion to revise Maths effectively for this year’s exams. You should start by practicing and familiarising yourself with the language used on past papers. 5th Years also need to start planning ahead. Most Maths teachers will put past exam questions on a 5th Yr Summer Maths Paper.

Your exam paper focus should always be on practicing previous official state exam questions under time pressure. Replicating exam hall pressure is a brilliant way to hone your skills and really check if you can complete the question asked within the time limit allocated. I would start by taking on a short question or two against the clock, and then a longer question, until eventually you feel confident enough to take on a full paper. Constantly doing questions out from your textbook will never fully prepare you for a full sit down test paper in Maths. This is where a lot of students are going wrong.

 

 Using Past Exam Questions to your Advantage

Knowing how to work with past papers and making the most of them is a skill in itself. Some key preparation tips to keep in mind while tackling past papers are:

  • Start with questions you can do in order to build confidence and reduce anxiety as you commence your revision routine.
  • Solve as many past exam questions as possible from every topic on the course. This will help you understand the type of questions that are asked and also how much work you still need to do to reach your target score in the subject.
  • Estimate how an examiner would have graded your work by comparing your solution against a detailed Maths solution book. Using a solutions book to mark your own questions will allow you to see how your percentages are stacking up.
  • Maintain an error-log on mistakes you keep making. This will help you get to know your weak points and what traps you are regularly are falling into.
  • Everyone has deficiencies in Maths. To overcome these, attempt extra questions from topics you are struggling with.
  • When solving past questions, make a habit of always timing yourself with a stopwatch. This will help you improve speed and manage your timing better during the actual exam. Practice makes perfect. Treat your revision work at home as the training sessions before the actual matches in the exam hall.

Doing an exam question trial at home every week will greatly improve your performance in the final exam. After some time, you will cut out silly errors and feel calmer about tackling a full paper. This process will give you the belief that you can get the awkward question started or tackle the unseen graph or diagram on the day.

  Commence a Strict Diet of Past ‘Exam Questions’ Today

If I was in 6th year, i would move quickly now onto the strict but ultimately rewarding ‘Past Exam Question’ diet. Here are some directions to consider as you trawl through good quality past exam questions and their solutions over the next few months:

  • You need to get practicing multiple real life application questions (Section B)
  • You need to get familiar with marking schemes and how marks are allocated
  • You need to practice exam questions under time pressure
  • Constantly strive to get used to the wording, layout, and style of past questions
  • Get accustomed to how the examiners are phrasing exam questions now
  • Be conscious of the fact that there is extra text and less numbers on the papers now
  • You need to be aware that you could now be asked to ‘explain your answer’
  • Be familiar with justifying your answers using Maths calculations
  • Practice different strategies for starting unseen or unexpected questions
  • Be familiar with the exact meaning of each word that appears on past papers. Joe.

To view last week’s feature article on ‘How to ACE any Maths Exam’, 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: 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

The ACE Guide to Exam Prep From Home (Feature 5 of 6)

 

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 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 last week’s article on ‘Supporting Your Child Right up to Exam Day’, click here. Thanks Joe.

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: Supporting your Child Through to Exam Day

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

 

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: How to become a Specialist at Maths Exams (Part 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 2022. Wishing you good luck students. Joe

To view last week’s feature article on ‘Maximising Your Junior and Leaving Cert Results’, 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: 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

*****

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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

*****

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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: Choosing Subjects for 5th Year

Choosing subjects for 5th Year can be daunting enough, and soon many 3rd and all Transition (4th) year students will be faced with that task in school. A 4th year student will have had more time to contemplate options, and so sometimes make more considered choices than those coming straight from the Junior Cycle (3rd year), and this is something Parents need to be aware of. It is important to put some thought into how subject choices may influence career options later. Students should consult with all their teachers and ask them about the level of work that’s required for success in a given subject at a specific level.

Third Level Considerations

Students,

If you have a third level course or career in mind, it is important now to do a little research into its content and investigate if there are any minimum entry requirements to gain access to it. All courses now have detailed descriptions of each module online, listing out exactly what you will be required to study on a year by year basis. It is important to note that no matter what points you achieve; you will not be allowed onto a course unless you achieve its minimum entry requirement (if it has one). This may guide you to choose particular subjects. In the case of compulsory exam subjects (which you will be studying anyway), obviously there is no choice to make there. However, if there is a requirement on your desired course to score a certain grade in a foreign language or other subject, you will need to opt for this subject if your heart is set on that course. However, to this tune, I would strongly recommend you have a plan B and C in place when choosing courses and will discuss the importance of this in articles later in the year.

In relation to specific college requirements, it is useful to know that the NUI colleges (UCD, UCG, UCC, Maynooth etc) require a pass in a third language [excluding English and Gaeilge] for many of their courses. However there are now exceptions to this: UCD has dropped this requirement for Engineering and Agricultural Science, and Maynooth has removed it for

Business, Accounting, Finance and Law. Trinity, UL, DCU and the Institutes of Technology do not have this third language requirement, except for their language courses. Again, the advice here is to double check the requirements online for each individual course.

There are also ‘Subject requirements’ on courses. Examples include: to study Primary teaching, you need a H4 in Irish, Engineering courses may require honours Maths and sometimes a science subject, Medicine may require two science subjects (one being chemistry) and Nursing may also require a science subject. The savvy student will do some research on websites like qualifax.ie and careersportal.ie to get a handle on the exact requirements of courses they are Interested in.

The Eight ACE ‘Do’s’ for choosing Subjects

All in all, when it comes to subject choice, students should think a little about their futures, talk to teachers, look at courses they may have an Interest in and discuss with their peers gone ahead how they found studying the subject. Take your time and choose well. It may be wiser to choose subjects you have an interest in, as opposed to ones you feel you must choose in order to get into a certain career later. It is definitely a balancing act. Here are my eight ACE do’s for subject choice for 3rd and 4th year students:

  • Do…Choose subjects you enjoy learning about
  • Do…Discuss it with as many people as you can including teachers and peers etc
  • Do…Try and keep your options open as much as possible
  • Do…Choose subjects you have some kind of a flair for or Interest In
  • Do…Research each subject’s content on https://www.curriculumonline.ie/
  • Do…Choose subjects linked to a possible future career you are considering
  • Do…Write down the Pro’s/Con’s when trying to decide between two subjects
  • Do…Make the final decision yourself (not your friends, teachers, or parents)

Final Choice Advice

The best advice I can give about subjects is to select ones that keep your options open. You can best do this by choosing one foreign language and ensuring that at least two of the other three subjects picked are ones you have an interest in or flair for. Remember that you will be spending a lot of time studying your chosen subjects over the next two years and the nightmare scenario would be dreading going into that class each day. I myself selected a subject I regretted taking in 5th year, but luckily was allowed switch later. You may not be as fortunate in your school, so try and get it right the first time to save any unnecessary anxiety. I now also have a degree in a subject that I didn’t study for my Leaving Cert. Life can be funny, so my advice is ‘rule nothing out’ and keep as many doors open as possible.

In choosing subjects, always play to your strengths. For example, if business is something you are really interested in, you could choose Business and Accounting (assuming they don’t clash on the school timetable). Similarly, if Science is your area of passion, you could opt for two of the Science subjects i.e. Biology, Chemistry or Physics. Applied Maths or Agricultural Science may also be other options here.

Enthusiasm for any subject will foster a desire to learn more about it and studying these subjects in Senior Cycle won’t even feel like learning. If you are struggling with this decision, get in touch with me via my website below and I will send you some resources that will help. I wish you every success with your upcoming decision. Joe

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: Why Secondary School Students Should Eat Breakfast

Students, you have heard your parents and other adults say many times that “breakfast is the most important meal of the day” and that indeed is a hard fact. A decent breakfast will give you the energy to start each morning, help balance your weight and allow you to complete the tasks and challenges you face every day more efficiently. Breakfast is equally as important for children as it is for adults and a healthy one is a vital part of our health and wellbeing. The importance of breakfast as the first meal of the day has been scientifically proven; so in fact your parents are actually correct.

Imagine food is the fuel for your daily activity. During exams and indeed school time, your body will demand good quality clean fuel and regular refuelling in order to nourish itself and maximise your concentration, starting first thing in the morning. I’ve had my own experience in relation to eating breakfast. In my early teaching career, I didn’t eat anything in the morning until my first small break (eleven o’clock). During the early morning, I found myself regularly on edge and low in energy. I noticed that just before this break, my body was actually craving food and my focus had diminished. Basically, what was happening was my blood sugar levels had dropped too low and my concentration was poor during my first two hours teaching each day and I knew it.

Good Morning Habits

As an experienced teacher, I am familiar with students’ poor morning eating habits. Many students don’t feel like food, or their stomach is unsettled early in the morning. Students who eat late at night may be getting messages from their stomach that their body is still living off those energy stores. That’s OK. But students: ‘Please just eat something’, no matter how small, to kick-start your system again. If you think about it logically, your body has not fuelled up for eight to ten hours during the night, so denying it any longer makes no sense at all, especially from a blood sugar and energy point of view.

There are hundreds of good breakfast options that aren’t that time consuming to prepare. These include Smoothies containing fruit, plain yoghurt or chopped fruit with whole grain cereals and milk. A mixture like crushed nuts, a small dollop of organic honey and plain yoghurt can be quickly made and eaten. Homemade granola bars are great for when you’re on the go and better than the sugar-packed store-bought ones. Get your Parents to make you a batch or have a go yourself for the craic.

Personally, I would recommend the following foods for breakfast: Oats, Muesli, Grapefruit, Watermelon, Greek yoghurt, Smoothies, Wholemeal bread, Scrambled eggs, Bananas, Low sugar cereal, Actimel, Low sugar orange juice and Low sugar multivitamin juice. If there are healthy wholesome foods you find hard to consume for breakfast, put other foods on top so that their unpalatable taste is masked. An example of this is to put bananas, fruit, yoghurt, or honey on your porridge (cooked oats). I have found that my performance, energy, and concentration has improved greatly in school during the day now that I have introduced porridge into my diet. I recommend you try it for yourselves.

Your Role as Parents

Parents, if your child skips breakfast before school, they are more likely to be tired throughout the day and will have reduced concentration levels. Preparing and encouraging them to consume a breakfast that is packed full of fibre, carbohydrates, grains, and protein will help boost concentration levels, improve memory, and will stop complaints of hunger as the morning progresses. 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. By preparing breakfast the night before, or getting them to prepare their own, you can cut wasted time in the morning. Avoiding the ‘Coco Pops’ style breakfast cereal is certainly one that’s recommended.

Six Compelling Reasons to Eat Breakfast

 

  1. The Gap: Breakfast is the first meal you eat after sleeping through the night. You may not feel it, but your body is actually craving food and needs refuelling.
  2. Fighting Sickness: Skipping breakfast weakens your immune system and may increase your chances of becoming ill quicker as a result.
  3. Concentration Levels: A correlation between concentration and our ability to perform tasks has been proven through research. Food is known to enhance concentration.
  4. Serotonin Boost: Eating breakfast boosts levels of serotonin (a mood enhancer chemical that helps you feel better and maintain stability throughout the day).
  5. Increased Variety: Breakfast foods like whole grain cereals, eggs and porridge contain plenty of vitamins, minerals, and fibre, and add great variety to your diet.
  6. Good Start: A scheduled healthy breakfast will help your body run like a well-oiled machine all day. It is the best start to any busy day and heaven knows we need that now in 2022. Joe.

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

*****

*****

Joe’s Jotter: Practical Tips to Organise Yourself for any Exam

Most students realise at this stage of the year that it is time to settle down into a proper homework and revision routine. If you’re unsure about how to get the best out of yourself, here are some simple but practical recommendations to get you on track. This guidance applies to all Secondary School students, no matter what exam you are preparing for.

  1. Structure your Day.

If tomorrow is a non-school day, it is important to have a plan written down from the night before as to what tomorrow will look like. Having a somewhat set routine will keep you grounded and help you be organised. Waking and going to bed on a routine, eating a proper breakfast, showering, dressing yourself, knowing what topics you will tackle and indeed knowing when break times are –  will all greatly help.

  1. Be Aware of You.

Be aware of how you are feeling and ensure you get plenty of rest and healthy food. Make sure and keep in touch with friends and family to keep you sane and maintain motivation levels.

  1. Short Revision Bursts.

Oscar winning actors wing it. But that’s not you. Research has shown that you need to keep revisiting Information regularly for it to stick in your head. Limit revision bursts on a topic to thirty minutes. This is where short summaries are key. Using postits, summaries, flashcards and mind maps are all tools you should have in your revision toolbox. There are so many different ways to revise, so be sure to utilise them as much as you can. Reading from a book is a very small part of preparing for any exam in 2022.

  1. Write Down your Goals.

At the start of each week, write down how much/what you would like to revise and complete. Ensure you know what sub-topics need covering for each subject by consulting each subject teacher. Set realistic goals that you can achieve in seven days. If you find you are having success and a certain approach is working for you: keep repeating that process. Use common sense by playing to your strengths.

  1. Start Today.

By the law of averages, you may not be super motivated about exams right now. Motivation will increase as you see subtopics being ticked off and completed in front of you. Just get started and then keep going as best you can.

  1. Sleep is always Important.

Sleep refreshes brain cells allowing you to wake up refreshed and begin storing more Information in both your short and long term memory. If you are feeling too tired at your study desk, stop. Time spent in ‘Zzz’ land will actually be more productive at that stage.

  1. Compare Yourself against Yourself.

Always try to compare yourself against yourself, not others. How can I improve my last test result? How can I be more efficient with my revision this week compared to last? etc

  1. Limit Time on your Phone.

Limit social media and phone time over the next few weeks. The only way to do this is to leave the phone out of the bedroom and check in on it during breaks. Any time I take a snap survey in my classroom, 90% of students admit that their phone is a distraction. Students have already acknowledged this as a big problem, but still ignore it.

  1. Take it One Small Step at a Time

Remember that a big mountain hike starts with the first small step. Get on the first rung of the ladder by planning out the topics and subjects you will revise tomorrow, remembering that you can only reach your goal of success by taking it step by step, hour by hour and day by day.

  1. Think About Being Finished

Picture yourself walking out of the exam (you are preparing for) and meeting up with your friends. Picture the weight that will be lifted off your shoulders when it is all over. Use these thoughts to provide you with extra motivation and focus for each task.

 

Did you find this article Interesting? My two hundred page Study Guide Book entitled ‘How to ACE the Leaving Certificate’ for all subjects is packed with an abundance of guidance for any kind of exam preparation from Second Year upwards. Click here for more details. Joe.

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: Revising Your Less Favourite Subject

Junior and Leaving Certs,

As you prepare for your upcoming mock exams, teachers and parents totally understand that even though you are making great strides, you still have plenty of fears. From talking to students, I find it’s not the full set of exams that cause concern; it is usually only one or two subjects. Naturally everyone has their own talents and subjects they prefer. Personally, I was better at the Sciences than the languages, but I persevered and got the grades I wanted in the languages I chose. Sometimes subjects you are not looking forward to are the ones that have you on guard and you end up doing better in; A paper on the day can go well in an exam you were dreading. I regularly hear welcome surprise coming from students on results day, with comments such as “I didn’t expect that result in xxxxx”. The moral of the story here is that too much concern about a subject could end in false worry and be draining you of energy; energy you need for studying and getting your head right.

Not Crazy about this Subject

Preparing for one of your less favoured subjects is a blatant case of having to ‘get on with it’ i.e. ‘Eating your Frog’. Of course, it is easier to study and work on subjects you enjoy and are good at, but you must not ignore the others. Studying and preparing your ‘frog subjects’ is probably the biggest challenge you will face during your exam year. Author and reconstructive surgeon, Jack Penn, once said:

One of the secrets in life is making steppingstones out of stumbling blocks”.

Prioritise Subjects

In order to deal with a subject you find difficult, you need to prioritise it on your Lifestyle (Study) Timetable. It should therefore be ranked in your top three subjects and entered first onto the timetable with the possibility of including more study blocks for it than other subjects. In subjects you struggle with, you need to: ask for plenty of help from your teacher, work with a study buddy, find ways of learning that best suits you, break topics into manageable chunks, write a good set of notes that you can relate to and understand, think outside the box and ultimately dig in and persevere. These are all the characteristics of successful students when they face obstacles. This is on of my favourite quotes and is relevant here:

Someone once told me not to bite off more than I could chew; I said I’d rather choke on greatness than nibble on mediocrity

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Train as you Will Play

Practising past papers is a vital part of revision. It allows you to test what you have learned, what you need to revisit and gives you a taste for the pressures of the exam ‘environment’. The weekend is the best time to practice past papers as you have more flexibility then to create ‘exam timing conditions’. You should train as you play; if you get used to timing yourself and keeping an eye on the clock, it will come naturally on the day. This is one of my ACE tips for success. Remember; only test yourself on material you have studied from the course. The earlier you get practising exam questions against the clock in all subjects, the better.

Use Small (A5/A6) Hardback Notebooks

Use a small hardback for each subject, writing down the keywords/phrases and vocabulary for each topic as you meet them. This will help to improve your knowledge and understanding of a subject. The beauty of a small hardback is its portability. It can be carried around with you, adding variety to your learning. I always give my students one at the start of each year and prompt them to input important information into it every so often. By the end of the year, they have a pocket size set of keynotes that is great for revision. When revising a topic from your textbook, select the key words or phrases which will help you to remember what the topic is about, and then transfer them into your hardback. Your hardback will be a useful resource that you can dip in and out of as the exams approach and it won’t seem as daunting as a big refill pad! Joe.

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: Former Students Provide Excellent Advice

It is a long time since I sat in an exam hall, so I wanted to have a chapter in my book ‘How to ACE the Leaving Certificate’ where student opinions were aired, and feedback was relevant. When I read this chapter now, I feel it gives a great sense of the reality and pressures of the exams from a student’s perspective.

I have listened carefully and recorded information from students who have been through both the Junior and Leaving Cert exams over many years. I also surveyed sixty existing sixth years for their first-hand experience, asking them to think back to how they were feeling and their approach to the Junior Cycle exams; what they did right, what they could have done better, big mistakes and importantly what they learned. I have synopsised that chapter in this article to ensure the practical guidance and recommendations given below are useful to all Secondary School students, but particularly pertinent to those doing exams in 2022.

Advice from former students to help you maximise your learning in school

  • Start revising now.
  • Everything happens for a reason.
  • Start practising exam questions.
  • Practice short exams at home under exam conditions.
  • Separate notes with labelled dividers to make topics easier to find.
  • As you approach exams, continue to attend class to the end.
  • Failure to plan is planning to fail. Plan each day using your homework journal.
  • Once an exam is done, take a break, move on and never look back.
  • Homework, revision and creating good quality notes are all good forms of study.
  • Breaking a topic into bullet points is a brilliant way to help you remember it.
  • Get into a weekly routine of study, exercise, social life etc, i.e. follow the same routine every Monday; same for Tuesdays etc. Stick to this consistently and you will be able to plan ahead better.
  • Do extra revision in the part of the day you feel more alert depending on whether you’re a night owl or an early bird (This only applies to weekends and holiday periods obviously).
  • Exercise will keep your mind fresh. Walking, gym sessions, cycling, swimming, or Zumba classes are all good. Do something you enjoy, whatever that may be.
  • From the month of January onwards, you need to put a proper Lifestyle (Study) Timetable in place.
  • Prior to the state exams (the last six weeks), do morning trial runs on various foods to ensure they digest well. You will definitely need to eat something substantial for breakfast on the days you are doing exams.
  • Be ruthless with your time. As you practice past exam questions, allocate a time limit for each part of a question (depending on the marks available for that part).
  • Social media commentators and mock papers only speculate about the contents of the final exam papers. Nobody really has a clue what’s on the paper, despite what they may say or have read online.
  • Believe in yourself. You have come so far and have so many talents that cannot be measured by an exam. Your results in any exam will not affect how proud your parents are of you or how important you are to all your friends.
  • You need to figure out how best you learn. Some students learn by writing things out repeatedly, some by talking it out in groups, some by listening to recordings, some by reading, some by Internet research and others by typing out keynotes. A combination of the above learning styles may be your key to success.
  • Try not to approach an exam with a negative frame of mind. If you constantly think ‘I have to do so much study’, it will be like carrying around a bag of coal.
  • If you don’t like a subject, try and take a positive view of it saying, ‘This subject isn’t my favourite’ as opposed to ‘I hate this subject’. Thinking about life more positively can help you solve problems and deal with setbacks better.
  • Spend a few minutes each evening going over what the teacher did with you in class that day.
  • Share work around in a small group. Have information sharing sessions in someone’s house. This reduces the amount of preparation you need to do in each subject, as your friends will already have done the research on it. Sit down with the group and explain things to each other. Write down the key points from the shared session to enhance your own set of notes. If you are not comfortable in a group, get yourself a study buddy (a friend) to work with on the subjects you find difficult.
  • Start revising now (again!).

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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