Joe’s Jotter: How to Study Smart (2023) – Key Tips for 2nd & 3rd Years.

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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 to cut corners, predict, throw topics away and ignore information. I would not recommend leaving out big chunks of the course. The State Exams Commission (SEC), 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 should be to continue to reduce the volume of your keynotes. Summarising is the core idea here. I am convinced that summarising information will help you assimilate it better and your final content will be something more manageable and far less scary. Keep re-writing summaries into something clear 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 many notes are a bad thing and may overwhelm you.

Implement a Workable Revision 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 revision plan that you can follow. Here are twenty practical study tips you can start using today:

  • Divide your revision time into small sessions
  • Take a break of five or ten minutes after each session
  • At weekends and holidays, 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 time proportional to effort needed. Difficult topics = More time
  • Underlining the key points for each topic is a great revision 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. Example, ‘ I will do …… today’
  • Reflect on the amount of revision you did today, instead of what you didn’t do
  • If today’s plan didn’t go well, revisit it and tweak tomorrows one. Never give up

and remember..

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

Joe McCormack.

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

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

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

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

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Surprisingly, thousands of top 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 that 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).

‘Act 2’ of this two part drama will follow in a few weeks… Joe

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

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

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

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Joe’s Jotter: The Importance of Getting that Extra Support in Maths.

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As a Maths teacher of the last 20 years, I understand the struggles students have with Maths on a day to day basis.  They are frustrated with not being able to understand methods in class, their friends progressing quicker than them, not being able to get maths questions started and either spending too much time or not being able to attempt homework at all.

The key to having more success in Maths is being open to new methods and using each night to practice questions that the teacher has shown that day. Maths requires a higher level of dedication and persistence than most other subjects. When I was in school in the 1990’s, only those with a strong aptitude for the subject were successful in it. I feel that today it is more important to stick the course, ride out the storms, work hard and not give up; as opposed to being a natural Maths talent.

The reality is that many students will need extra support outside the mainstream classroom, and it is important to find a teacher or tutor they can relate to and has the ability to explain concepts in simple terms. Looking for extra support in Maths is not a sign of weakness, the opposite in fact. It is often no fault of the student when they seek this extra help to try, and both boost their confidence and grades in the subject.

How an External Maths Tutor Could Benefit Your Child

That extra bit of support in Maths can make all the difference.  From a short term point of view, students need someone who can be there for them should they get stuck a question. They also need someone who can see the bigger picture, allowing them to work towards their longer term goal. Here are some of the benefits and subtle advantages of having a tutor in Maths:

  1. Parents can contact your tutor directly and keep up to date with specific progress.
  2. It is a more relaxed atmosphere where your child is more likely to ask questions.
  3. Tutors tend to focus on helping your child be an expert on ‘tackling’ exam paper questions.
  4. The tutor will hopefully give your child a more positive outlook towards the subject.
  5. The tutor will give your child insights on how to revise Maths (compared to other subjects).
  6. Most tutors will set the foundations with core work in Algebra, Functions and Equations.
  7. Your child’s confidence will grow as they rebuild core aspects of Maths they missed out on.
  8. Your child will be less anxious about keeping up in class and with their friends.
  9. It will give your child the organisational skills to plan for upcoming exams.
  10. Your child’s weaknesses in Maths will be identified and fixed quicker.
  11. Those who struggle in school usually try to hide in Maths. Tutors can tease this out.
  12. Most tutors will be contactable when students run into ‘Maths trouble’ at home.
  13. The advent of Online Maths tuition saves wasted time in the car each week.
  14. Maths tuition often shows a student’s real ability, which may not be apparent in school.
  15. Better engagement with the subject gives students that ‘can do’ attitude to work alone.
  16. Tutors can focus more on revision of key topics and ensuring core skills are enhanced.
  17. Increased help in Maths allows students to relax more and focus on other subjects.
  18. Students often move up two or three grades with that extra bit of reassurance & guidance.
  19. Students can request extra notes for topics they may be finding difficult in school.
  20. With many 3rd level courses having a Maths module, this support ‘invests in their future’.

‘It is never too late to step into your own greatness.’

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

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

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

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Joe’s Jotter: How to Choose Your 5th Year Subjects

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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 now 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 requirement’ 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 don’t have this third language requirement, except for language courses. Again, the advice here is to double check the requirements online for each individual course and college.

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 and Careers portal to get a handle on the exact requirements of courses they are Interested in. Be fully informed prior to CAO time.

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 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 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, put all the information and swaying factors out on the kitchen table. Usually, your heart will guide you one way or the other at that stage. I wish you every success with your decision. Joe

‘Compare yourself against yourself, not how much work your friend is doing.’

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

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

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

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Joe’s Jotter: Preparing for a Mock Paper in Maths (3rd & 6th Yrs)

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As third and sixth years prepare for their Mock Paper in Maths, here are some quick pointers to help them be ready. Some students get quite anxious about the Mock examinations, but I always feel the focus should be on preparing and being ready for the final June exams. Here are my ACE tips for the Mocks 2023:

  1. Focus on getting the timing right for each question on the day. This is one of the main ‘learnings’ to take from the Mocks. You should come away with better timing skills.
  2. Practice easier past exam question that you feel confident on beforehand. I wouldn’t take on ‘rock hard’ or new content that may actually sway your existing confidence.
  3. Write down all the formula’s that you need to know for the exam (those that are not in your Log Tables). Be very familiar with what formulas are in your Log Tables.
  4. I would give the textbook a break for a short period. Know the core skills and use your notes from class to help you tackle more straightforward questions in preparation.
  5. Do Maths revision in short bursts. Maths can be quite intense, especially if you take on longer past exam questions. Forty mins max and then take a break. Stay fresh!
  6. Rotate your Maths revision between topics over the next few weeks. This will keep your brain more tuned and aid motivation. Note all the key points into a hard back.
  7. Target three main topics on both Paper 1 and Paper 2 (Leaving Certs) as opposed to trying to cover the whole course. It isn’t possible in two weeks. Sensibility rules!
  8. Get advice from a Maths teacher. Ask your teacher ‘how should you best prepare for the Maths mock?’ Each teacher will have their own take on best to prep for this exam.
  9. Invest in a good Maths Solutions book. This will allow you to check your solutions to questions in a step-by-step manner at home. ACE Maths Solution Books will help here.
  10. Be realistic with your Maths Mock exam. You have still so much more to cover in class and haven’t actually sat down to do a full exam paper yet. Time is still on your side. 

To find out more about how to approach the Mock examinations for all subjects (among other topics), there is a full chapter with advice and guidance on it in my ACE Study Guidebook entitled ‘How to ACE the Leaving Certificate’ for all subjects. This textbook is suitable for all students from second year to sixth.

Wishing you all the luck,

Joe.
ACE Maths Tuition
W: acesolutionbooks.com

Joe’s Jotter: ACE’ing your Christmas Exams 2022

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First, Second and Fifth years; you will be commencing your Christmas exams soon. In the case of Second and Fifth years, it is another step towards your state exams and of course you want to put on a good show for work done over the last few months. Consequently, your preparation needs to start now for these exams. If you have very little revision done up to now, it’s not too late to salvage a decent percentage in order to set you up for the second term. It is never too late to start revising. Here are ‘Six of the best’ tips to ready yourself for the upcoming challenges.

  1. Set up a ‘Lifestyle Study Timetable’.

You need to put some kind of a plan in place for the next few weeks and I believe the ‘Lifestyle Study Timetable’ fits that bill. In summary, draw out a weekly timetable containing thirty minute study blocks each tagged with a five minute break after each one. Each block will contain a topic from one of your subjects. Prior to entering topics required to be revised; enter your school times and all the leisure activities or events you will be involved in and need to commit to that week. Keep some catch-up blocks free each weekend in case plans change during the week. It is better to have a plan in place that needs tweaking than no plan at all. Be ambitious but realistic with your plan, ensuring it is short term. This will allow you to improve and adjust the next renewal of it. Full details of how to construct the ‘Lifestyle timetable’ is contained in my two hundred page ACE Study Guide textbook entitled ‘How to ACE the Leaving Certificate’ for all subjects.

  1. Consolidate.

I would advise you, at this point, to consolidate the main topics you have studied with your teachers since September. Prepare no new material while also being realistic what you can get covered in a couple of weeks. Your teacher should be able to give you a broad outline of the main topics for consideration for this exam, so be sure to ask.

  1. Summarise.

Start writing out summaries of the core topics in your own words, whether this is using notes from your teacher or Information from your textbook. Mind maps, bullet points, pocket hardbacks, posits and flash cards are all useful for this. I am a firm believer in students having their own set of notes that can be read and understood easily. As with any exam, you do not want to be trawling through pages of notes as deadline day looms. Start putting these good habits in place now and you can build on them in January.

  1. Tend to all Subjects.

It is important not to neglect the subjects that aren’t your favourite or that you may not excel in. The first piece of homework you tackle every evening should be from these subjects and they should also get more time (blocks) on your ‘Lifestyle Study Timetable’. You are better off to have the majority of percentage scores for subjects around the class average, as opposed to having very high and very low percentages across a mix of subjects. Give each subject the respect it deserves, and balance time spent on them as best you can. Focus on your weaknesses, as it is likely your talents in the other subjects will balance overall grades out. This also applies within subjects. Getting very low scores in certain subjects can really drain confidence and leave you wondering “Where do I go from here”?

  1. Listing and Ticking.

List out the set of topics (subject by subject) you plan to cover for these exams onto an A3/A4 sheet. Develop a system. Something like: Put an ‘S’ beside a given topic when summarised and then tick it off when you feel confident you could answer a potential exam question on it. Having these lists on your wall will provide an added incentive to get more done. Ticking off each list and watching the workload shrink will help you feel so much better about how your revision is progressing. ‘To do’ lists are another variation of this. I use these in my business every day and find them excellent. Ticking off tasks done at the end of each day from my ‘to do’ list gives me great satisfaction. Try it and see yourself!

  1. Build Yourself Up.

Eating well is important as your body is more inclined to break down with colds, flu’s, and bugs at this time of year. It will be really difficult to do any constructive preparation if you develop that niggling cold or sore throat. In my opinion the best foods to enhance your system at this time of year are porridge, lemon/orange juice, hot soups, curries, stews, hot roast dinners, mugs of hot drinks and of course loads of water, to name but a few. Sugary cereals or Energy/Fizzy drinks will never improve your health or help illness resistance. Get your parents on board here by making sure they have stocked up the nutritional and warm homely winter foods to get you through to the last Christmas exam.

Finally, put a good solid effort into your revision over the next few weeks and you can relax then and enjoy Christmas with your family and friends. Your endeavours will be worth it when you see your grades being posted out in January. Take pride in your work at school, just as your parents take so much pride in everything you do. Good luck. Joe

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

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 below 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: How to ACE Any Maths Exam

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

Sensible Tips When Dealing with a Maths Exam Paper

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

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

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

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

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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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Joe’s Jotter: Revising Your Less Favourite Subject

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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”

Unknown

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 – Should I Continue Studying Higher Level Maths?

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More students over the last few years have taken on the task that is Leaving Cert Higher Maths. In 2021, out of the 57,303 who sat a Leaving Certificate Mathematics Paper, 22,918 of them opted for higher level (40%). Even though the bonus points are very enticing, students need to be careful and be fully aware of what exactly they are embarking on. In my experience, there is a lingering doubt among many 5th and 6th years about being able to tackle higher Maths. Scoring low grades in class tests doesn’t really do much for confidence, but it doesn’t automatically mean you should drop down. The question is: Should you remain battling higher level Maths or is it worth the time and effort at all?

This article should reassure those suitable for higher (those who fight the good fight day after day) that they can in fact achieve what they are aiming for. Each year, deciding Maths levels is a tricky issue for students and involves many considerations. It is made even more complex in this subject with the bonus points at play. For those of you who are unsure about higher Maths, it may be worth applying some logic to any inclination to switch. As well you know, us ‘Maths creatures’ are very logical beings lol.  I find that logic is more factual and definite in making decisions like this. It may be more sensible to apply a touch of it here, rather than just using pure emotion. Don’t get me wrong: your gut feeling is important too; but read on to understand what I mean…

I Can Take on this Challenge

Firstly, there is a mis-conception out there that if you fail Maths, you fail the full Leaving Cert. This isn’t true at all. The two worst things that can happen if you are unsuccessful in Maths is that you will have that low grade for Maths on your CV. Or, if a certain grade in Maths is a requirement for a specific third level course, you will not be offered that course no matter how many points you get; that’s as bad as it gets.

I think having a good Interest in Maths is a great starting point in taking on higher level. Enthusiasm for this subject will go a long way to achieving your desired goal in it.  Students, do you secretly enjoy the challenge of those long practical questions in double classes, or do you dread the thoughts of Maths homework each night? Do you like working with numbers or are you mis-understanding the majority of your teachers methods? These are some initial questions to ponder.

Personally, I feel that students know in their heart what level Maths they should be doing. If you feel in your gut that you are lost in class or if it is taking too much time away from other subjects; then reflect and talk it through now. If your anxiety about the subject is getting too high and your grades are dropping, it may be time to move. Definitely, if you have struggled to grasp much of the basic Algebra in forth and fifth year, it may be a sign that the standard is too difficult for you. However, remember also that there are so many varied topics in Maths, and you may have a flair for some and no real interest in others. Very few of us are good at everything, even the best of the best.

Head Above Water

I always feel that students scoring above thirty percent (approximately) in Class, Christmas and Mock examinations should be able to raise their game to get over the line in the State exams. Students scoring consistently below thirty need to look into their heart and start conversations with their teachers, parents and indeed themselves about what to do. It is important not to remain in the class for the sole reason that your parents want you to do honours. Only you know the content of the Maths course you are studying and how it is going for you. Many students and even some Teachers place too much emphasis on the spring Mock result. I disagree with this premise and prefer to look at the bigger picture. From a percentage assessment point of view, I feel you need to look at a combination of exams sat (even fifth year ones) and indeed your Junior Cycle grade. Keep in mind that the upcoming mock examinations in springtime tests topics across the complete course at a time when you haven’t fully completed it yet.

Is there a Template for Staying or Going?

My intention in this article isn’t to outline a template for who should remain or drop down, as there are a lot of factors that need to be considered. I am simply encouraging you to reflect and balance the argument for yourselves. Over the years, I have taught a substantial number of students who I considered borderline higher level students. Many of them remained at higher and actually ended up outperforming those I perceived as rock solid higher level candidates. Maybe these students felt like they needed to work harder and hence prepared better consequently. There is a lesson in this. American Basketball player Kevin Durant once said,  ‘Hard work always beats Talent when Talent doesn’t work hard enough’. The statistics also stack in your favour.  In 2021, 97.4% of students who attempted higher level Maths got a H6 grade or above and therefore picked up the 25 bonus points. That is high!

In general, your teacher won’t put you too far wrong when decision time arrives. By the middle of sixth year, they know your strengths, weaknesses, and the limits of your capabilities, assuming they have taught you since the start of fifth year. Timing is also an issue. If you do need to drop down to Ordinary level, I wouldn’t leave it any later than Easter. This gives you some time over the Easter holidays, and when you return for the final term, to get familiar with the Ordinary level standard and format of the exam paper. Dropping down on the day of the exam is totally unadvised and should not be considered.

Factors That Will Guide Level Choice

In summary, think about and discuss the below factors in detail with your parents and teachers before attempting to change levels in any subject. Along with mock performance, here are the other factors to consider when making decisions regarding level changes:

  • Your teacher’s opinion.
  • Your ‘potential’ points change.
  • Your Junior Cycle performance.
  • Your attendance in class thus far.
  • Your ‘working relationship’ with your teacher.
  • How much you enjoy studying the subject.
  • Results in previous Christmas and Summer tests.
  • How much of the course you have done thus far.
  • Your own gut feeling and attitude towards the subject.
  • Results in all your class tests since the beginning of fifth year.
  • The amount of effort you are putting into this subject balanced against others.
  • Minimum entry requirements for third level (e.g. a H6 in Maths maybe?).

Before making your final decision, take out a piece of paper and write down all the pros and cons of remaining at higher level or dropping down.  On the back of the sheet, write a few paragraphs on how you are actually feeling about it right now. Keeping the above list of factors in mind, the answer you are searching for should appear somewhere within these pages as your thoughts and feelings stream out. Use these thoughts to answer your own doubts and plough on from there. Contact me if I can advise you in any way. Joe

To view last weeks blog on the ‘Importance of Handwriting Your Own Notes’, 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 Your Maths Exam

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No matter how intelligent you are or how well you prepare, if you are not exam smart, you will underachieve in any Maths exam. It is vital to have a plan in place for the content that can appear on your Maths paper. You need to go in there with your eyes wide open and be tactically aware in case things go a little bit wrong on the day. The following are my ACE tips to deal with a Maths exam paper more efficiently. These apply to both state exams and the upcoming final summer tests for all other students.

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 put 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 marks out of ten.
  • If you make two or three attempts at a question, they will all be corrected and the highest marks from your efforts will be counted.
  • Marks will be allocated for work done on diagrams that have been printed on the paper.
  • Be careful when dealing with minus signs.
  • You must show your 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, you need to keep going back to check completed steps for accuracy; otherwise, you may need to re-write the whole solution.
  • 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. Practice it repeatedly.
  • Get used to attempting questions involving real life statistics.
  • Estimating the heights of larger objects outside is now an important part of Geometry and Trigonometry.
  • In Co-ordinate Geometry, the slope of a line has become more important in practical style 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.
  • Look through the wording of each question and pick out the Maths related information. In all subjects, but especially Maths, identify the relevant pieces of the question with a highlighter. Watch out for numbers written as words, for example “thirty” instead of “30”.
  • If no diagram is drawn for you, try to draw one yourself to give a clearer picture of what is being asked.
  • 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 questions for you. This is very useful is Geometry, Trigonometry, and Area and Volume.
  • 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 or a 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 solution books that you can draw on to help you.
  • The relationship between two sets of data is important. This concept links up the ‘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 on the course now. Be sure to ask your teacher to help you understand and be familiar with how different topics can interlink prior to any exam.

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 should have everything you need to attempt your Maths paper well and really give it your best shot. Joe

To view last weeks feature article on ‘Homework and Your Child – A Parent’s Guide’, click here.

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More details about Joe’s ACE Tuition (Maths and English) Classes for Junior Cycle (2022) and Leaving Certificate (2021) Students, ACE Maths Assessments, and his Award winning ACE Maths Solution Books can be found via the links below. Be sure to pick up your copy today!

W: acesolutionbooks.com

FB: facebook.com/JoeMcCormackEducationalExpert/

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Joe’s Jotter: How to Maximise Your SEC ‘Accredited Grade’

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With ‘Accredited Grades’ being a pathway for all 6th year students in 2021, what is the best way they can maximise their chances of achievement in this process over the next few months? How do they go about getting the highest possible result and take some pressure off sitting the exams? As a student, you obviously cannot change any of the work you have done over the last eighteen months, but you still have two months to influence what grade you receive from your school. The purpose of this feature article is to give you some practical tips on how to ensure this grade is as high as it can be across all subjects.

How Your SEC ‘Accredited Grades’ will be Calculated

In May, Teachers will be asked to estimate their pupils grades based on evidence that their work is to the standard of that grade. This estimation will include any previous exams and work completed including Class, Christmas, and Summer tests. Teachers will also consider their experience of teaching the student and how the student engaged during their classes.

Teachers are fully aware that pupils have missed many months of in-school learning, might not have had proper access to wi-fi or technology, and are unlikely to have completed all aspects of the curriculum. I am sure they will keep this in mind in their deliberations. Final grades will also depend on a limited number of class tests that teachers will set for students over the next few weeks. At this stage, students still have ample time to convince teachers to allocate the grade they think you deserve.  

 Four Ways to Maximise Your ‘Accredited Grade’

 

  1. Maintain Your High Standards.

The best thing for students to do now is to listen to their teachers and complete all homework and classwork to a high standard. Each piece of work a student completes will help their teacher build a picture of the grade they should be awarded. 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 in ‘normal times’, complete each piece of homework as if it were an exam paper question.

If you are struggling with new topics, but work hard to try and get a better understanding of them, the teacher will a) be impressed that you have worked through the challenge and b) have shown evidence of Improvement and extended effort. Remember, work done, and efforts made to Improve your SEC Accredited Grade will essentially be ‘money in the bank’ when it comes to sitting the exams in June. All notes and revision done contribute to preparation for June’s sit down exam as your knowledge of the course deepens.

  1. 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 points the teacher emphasises as important. This ensures you stay engaged during each period. Treat all topics from now on seriously and consider that they could appear on your Leaving Cert Paper.

  1. Keep ‘Showing Up’

During the various restrictions and lockdowns, we have 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.

Students, remember that the accredited grade could be the result that you end up receiving in a given subject. Enter your target grade for each subject in your Journal asking yourself ‘am I on target for this?’ With only a limit number of weeks left, stay motivated as best you can. In October, you may be attending third level and have to learn alone in a whole different way. Any knowledge or skills you can pick up now will be useful for then. Creating study notes, analysing texts, and doing summaries are all useful skills to enhance, prior to commencing any third level course. Listening will also a key skill at that level.

  1. Keep Your Head

Teachers know what your abilities are. They also know that you may have had dips in your results over the last two years. If you have had a result in 5th year (a Christmas test for example), that was a lot lower than you could have got, your teacher will know it may have just been a blip or a bad day for you. Teachers will provide a rounded and fair judgment during the Accredited grades process, so try not to worry. Worrying about what grade you will get or previous class results will not get you one extra percent. In fact, it may affect and possibly lower your performance in class in the run up to the exams.

In general, hold it together, 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. Keeping your head will help you remain productive.

Ultimately, you need to keep June’s exam in focus. Try not to let these upcoming class tests overshadow your overall goal of the final exam. Keep doing your revision sessions and preparing notes each day. Keep in mind that your ‘Accredited Grade’ will be calculated on work you have done since the beginning of 5th year. Since so much of this is in the past, try and let the past go and focus on the present. Stay hungry, stay consistent and just keep doing your best. You have done so well to make it this far in a difficult year. Do get in touch with me if I can advise you in any way and I wish you luck in your endeavours. Joe

To view last weeks feature article on ‘The Importance of Practising Past Exam Questions in Maths’, click here.

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More details about Joe’s ACE Tuition (Maths and English) Classes for Junior and Leaving Certificate Students, ACE Maths Assessments, and his Award winning ACE Maths Solution Books can be found via the links below. Be sure to pick up your copy today!

W: acesolutionbooks.com

FB: facebook.com/JoeMcCormackEducationalExpert/

#:   #JoesJotter

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© Joe McCormack 2021

Joe’s Jotter: How to Maximise Your SEC ‘Accredited Grade’

Joe’s Jotter: How to Maximise Your SEC ‘Accredited Grade’
Joe’s Jotter: How to Maximise Your SEC ‘Accredited Grade’

Joe’s Jotter: The Importance of Practising Past Exam Questions in Maths

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Practising past exam questions is essential if you’re looking to score highly in Maths. 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 equally 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 changed and 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 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 the exam papers (usually purchased in September) and start by initially attempting part (a)’s and (b)’s of past exam question. You should initially focus on topics you have covered yourself in class in order to build up your competence.

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

I would recommend attempting exam questions, to the best of your ability, with guidance from your textbook and class notes. 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 Solution Books) at both Junior and Leaving Certificate levels are an ideal companion to complete this process efficiently. This puts you in a much more commanding position when your teacher does commence past exam questions in class. You should start by practising and familiarising yourself with the language used on past papers. Waiting until they appear on the board in class isn’t good practice in my opinion. This also applies to 5th year students.

Your exam paper focus should always be on practising 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.

How to use Past Exam Questions to your Advantage

Leaving Certificate Maths examines your analytical and critical skills. Most of the questions asked tend to be calculation-based. Hence, it becomes essential to solve as many questions as possible in your revision preparation. Some key preparation tips to keep in mind while tackling past papers are:

  • Solve as many past exam questions as possible from every topic that you study. This will help you understand the type of questions asked. It will also indicate how near or far you stand from your target score in the subject. Also, estimate how an examiner would have graded you on your efforts by comparing your solution against a detailed solution book.
  • Maintain an error-log on mistakes you keep making. This will help you get to know your weak points and what traps you regularly are falling into.
  • Everyone has deficiencies in Maths. To overcome these, attempt extra questions from topics you struggle with. Start with questions you can do. This will build confidence and reduce anxiety on topics you are concerned about.
  • When solving questions, make a habit of always timing yourself. Buy a stopwatch. This will help you improve your speed and manage timing better during the actual exam.

Doing an exam question trial at home every week will improve your speed and accuracy for the final exam, and 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/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
  • 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 now could be asked to explain your answer
  • Be able to justify your answer using Maths calculations
  • You need to practice question types that ask if you agree with an opinion and why
  • Practice different strategies for starting unseen/unexpected questions
  • Be familiar with the exact meaning of each word that appears on past papers. Joe.

To read last weeks feature article on ‘How to Construct your Revision more Efficiently’, click here.

*****

More details about Joe’s ACE Tuition (Maths and English) Classes for Junior and Leaving Certificate Students, ACE Maths Assessments, and his Award winning ACE Maths Solution Books can be found via the links below. Be sure to pick up your copy today!

W: acesolutionbooks.com

FB: facebook.com/JoeMcCormackEducationalExpert/

#:   #JoesJotter

*****

© Joe McCormack 2021

Joe’s Jotter: The Importance of Practising Past Exam Questions in Maths

Joe’s Jotter: The Importance of Practising Past Exam Questions in Maths
Joe’s Jotter: The Importance of Practising Past Exam Questions in Maths

Joe’s Jotter: Core Methodologies for Revising Maths at Home

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In light of the current health threat and for the first time in a long while, students (and indeed their Parents) need to examine more closely the daily routine to ensure effective learning is happening as much as possible. Maths is a subject that tends to take up more time than others and hence 3rd and 6th years should use these circumstances to consolidate what they know and spend time on past exam questions and the use of language in it.

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 fifteen-page sub-topic sections. Secondly, being at home full time is a good opportunity to test yourself against the clock on full or partial past exam questions. Set these as your two main targets prior to returning to school.

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. I, one hundred percent think that Algebra is the most important topic in Maths. The words and phrases that appear on the course and in your past exam papers are equally as critical. The State Exams Commission (SEC) now place more emphasis on students knowing and understanding what things mean in Maths, than just being able to do numerical calculations.

There is 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  the 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 you to add to this list, investigating the exact meaning of words you come across. You will learn loads through your own investigations, thereby learning by doing.

I advise that every time you encounter a new Maths word or formula that you write down what it means to you in an A5/A6 hardback. This idea 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 their homework to perfection and really know 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, you have twenty-five minutes to do a fifty marker (always divide the amount of marks by two to get the time).

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 verifies the order of steps and method 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 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.

I am currently conducting Online Maths classes (via the comfort of your own home) for 3rd and 6th year students. For 3rd or 6th years who are not sitting a Mock examination in Maths this year or for those of you who want a Professional opinion on where you are at in the subject right now, check out the ‘ACE Maths Assessments’ section of my website below to see how it could suit your current needs. Get in touch with me If I can help you in any way. Stay healthy during these uncertain times. Joe

To view last weeks feature on ‘My Top Forty Benefits of doing Transition Year’, click here.

*****

More details about Joe’s ACE Tuition Classes for Junior and Leaving Certificate Students (Maths and English), ACE Career Coaching, and his Award winning ACE Maths Solution Books can be found via the links below. Be sure to pick up your copy today!

W: acesolutionbooks.com
FB: facebook.com/JoeMcCormackEducationalExpert/
#:   #JoesJotter

*****

© Joe McCormack 2021

Joe’s Jotter: Core Methodologies for Revising Maths at Home

Joe’s Jotter: Core Methodologies for Revising Maths at Home
Joe’s Jotter: Core Methodologies for Revising Maths at Home

Joe’s Jotter: Tips for Students Preparing for Maths Exams

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Hello Students.

At this stage of the year, many of you are starting to think about your mock examinations in Maths. No matter what happens in the mocks, try not to be too hard on yourself as you still have plenty of time to improve in the subject. Please keep in mind that you have had little exposure to exam style questions, have not completed the full course and will not have attempted that length of any exam paper up to now. Go into the mocks and just genuinely try your best in all subjects. Use it as a way of getting used to the time available for each question. i.e. In Maths, always divide by two; you have twenty five minutes at most to complete a fifty mark question. Every subject has its own ‘time scheme’.

For those of you who may have Dyslexia or a learning difficulty, I would like you to view your exams as a challenge, not a threat. Thousands of students gone before you have achieved their wildest dreams so aim high and keep believing in yourself. Whether you are sitting the Junior Cycle or Leaving Cert, I would advise you to put a plan in place now so that you can revise efficiently and prepare properly. Start by listing out all the sub-topics you need to do for subject like Maths and tick them off as you get them covered. ‘Covering’ them means re-writing examples your Teacher may have given you in class and also trying an exam question on the given topic from a recent past paper. Testing yourself on short and long exam questions is the only way you will know if you truly understand it.

Twelve Top Tips to ACE any Maths Exam

Here are my top twelve tips to ACE any Maths exam – both in preparation along the way and facing the paper on the day.

  1. Do out a lifestyle (study) timetable to start next week. Make sure each weekly timetable contains variety, different ways of learning and plenty of breaks/rewards on it. Adjust it each week. Allocate thirty minutes to each topic revision slot. Give Maths extra time slots if it’s a subject you find difficult.
  2. Buy a small hardback and enter all the keynotes, new information learned and formulae’s that are not in your log tables into it. Divide it into the main topics on your Maths course so that you can easily find what you want when you need it.
  3. Make a note of all new words you learn in class each day. If you don’t fully understand the meaning of them, ask your teacher or google them. Write down (in your own words) their meaning into your hardback.
  4. Practice as many past exam questions as you can to get used to the wording, layout, style and marking scheme of them. Start with the easier ones you know.
  5. “Homework is the best form of study”. Approach all Maths homework as you would tackle an exam paper question. Complete it with pride, showing all steps.
  6. Practice questions at home. Time yourself on each question to familiarise yourself with ‘exam hall pressure’. Stick to the timing for each question. For Junior Cycle Maths, the time for each full question is written on the paper. It is extremely important to stick to the time for each question, as there may be a question you know well at the end of your exam and you won’t even get to it.
  7. Get a “Study Buddy” that will complete past exam questions for you and with you. You can meet up/e-mail and share your Information. This tactic can be used in all subjects.
  8. On the day of the exam, read the wordy questions three or four times and then re-read them again line by line. Underline key words with a red or green pen.
  9. Prepare for all exams the night before by checking you have all the materials you need. Always, double check any exam timetable for the next day.
  10. Don’t be afraid to express yourself in simple English if you don’t have the Maths for it. Remember that the State Exams Commission (SEC) encourages creativity and different ways of answering Maths questions.
  11. Buy yourself a detailed Exam Paper Solutions Book. Use it to double check against the attempts you are making. It will also help you to get started on more challenging ‘wordy’ exam questions. This is one of the biggest issues faced by Maths students right now. Practice and perseverance really help here.
  12. Start preparation today.

Lastly, the language of Maths is extremely important especially since the advent of Project Maths in 2008. The SEC now place more of an emphasis on students knowing and understanding what things mean instead of 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. Start now by recording the key words that have appeared on exam papers over the last six years.

Not being familiar with key words could mean not even being able to start a question. This would be an awful shame given the amount of time you have spent building up your core Maths skills. You need to be aware that different words have a different meaning on the paper depending on the subject. For example, the word “Evaluate” in Maths is quite different to what it means in an English exam. I believe that knowing the key words and phrases is now a key component of “ACE-ing” any Maths exam paper. Use this as your starting point now, no matter what year you are in. Joe.

To view last weeks feature article on ‘How to Prepare for Your Less Favourite Subject’, click here.

*****

More details about Joe’s ACE Tuition Classes for Junior and Leaving Certificate Students (Maths and English), ACE Career Coaching, and his Award winning ACE Maths Solution Books can be found via the links below. Be sure to pick up your copy today!

W:  acesolutionbooks.com
FB: facebook.com/JoeMcCormackEducationalExpert/
#:    #JoesJotter

*****

© Joe McCormack 2021

Joe’s Jotter: Tips for Students Preparing for Maths Exams

Joe’s Jotter: Tips for Students Preparing for Maths Exams
Joe’s Jotter: Tips for Students Preparing for Maths Exams