Joe’s Jotter: Grade Inflation 2023 – Remarkable Subject Stats

With Leaving Certificate grades ‘apparently’ rising recently, I decided to do my own comparison analysis of Leaving Certificate results from the years 2018 and 2022 as per Table 1 below. There had already been a steady rise in performance and points over the last twenty years anyway, but a recent sizable increase was now apparent. So, are our students working harder or is there something going on in the system?

Upon inspection, the percentage of students scoring a H4 or above in 2022 (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 many subjects have jumped. In the eleven subjects I sampled, the average increase (H4 grades or above) when comparing LC 2018 to 2022 was almost 10%. As a Maths teacher, it is particularly concerning for me to see a cosmic jump in my own subject. I feel that Leaving Cert higher level Maths is now consequentially devalued, as there is no way students are performing that much better in four short years.

 

Table 1: The percentage of students that scored a H4 or above in LC 2022 and 2018

Sample Subject Percentage of Students achieving a H4 or above (2022) Percentage of Students achieving a H4 or above (2018) % Increase for students between 2018 and 2022
Music 97%  89% +8%
Technology 83%  72% +11%
Engineering 81%  70% +11%
Irish 79%  70% +9%
Design & Comm Graphics (DCG) 79%  70% +9%
Home Economics (S&S) 79%  68% +11%
Accounting 69%  63% +6%
Biology 68%  61% +7%
Chemistry 67%  61% +6%
Maths 81%  60% +21%
Physics 68%  59% +9%

*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 2021 or 2022 cohort; and of course we are doing so. This throws up a lot of questions about where our education system is going. It seems a new benchmark has been set for future student results, and we aren’t going back.

Is it a ‘medal for everyone’ mentality now? How can we compare Leaving Certificate results before, during and after the pandemic? Even the recent 2022 results (with Covid 19 a much less significant nuisance) are very high. I view this Grade Inflation as ‘optics’, and how Ireland’s PISA scores ‘need’ to compare globally. I welcome the Leaving Certificate review now, with a view to more continuous assessment; but there must be proper teacher input.

With increasing marking scheme flexibility and grades rising, the original bell curve is being rewritten. Students are evidently being ‘marked up’ on their efforts and are possibly heading to college with unrealistic expectations. Can the class of 2023 actually revise and prepare their own high quality notes? With many struggling in first year in college, it seems no. Students are scoring higher than ever, but are they more knowledgeable than their predecessors? Radical percentage increases over short periods of time does not sit well with me. Will these changes serve our students well for third level study and future life? To be honest, I am doubtful. Not everything in life will be handed to you. Joe

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

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

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Joe’s Jotter: Why Should Secondary School Students 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 2023. Joe.

‘Breaks are your reward for hard work.’

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

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

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

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Photo:@ZhangChaosheng

Joe’s Jotter: How to Revise 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.

‘The examiners want you to succeed in your exams.’

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

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

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

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Joe’s Jotter: How to Remain Motivated during Holidays

As we enter our Christmas holidays, we will all enjoy a well-deserved break. However, don’t leave it until the day before school to open the school bag again. Depending on what year you are in, you will know yourself how many hours revision you need to put in over these few weeks. Have a read of the below list of pointers and try and implement two or three of them in order to maintain some semblance of revision over the holidays. It will make your life much easier having continued some constructive habits over Christmas.

  1. Reward yourself

Don’t forget to ‘have a life’ as you prepare for any upcoming exam. Reward yourself after a long study session with a trip to the cinema or visit to your friends. Try hard to develop your own balance between work and play. Ultimately, reward yourself with breaks, taking a reasonable one after every good hour’s work. There is nothing wrong with rewards like chocolate, ice-cream, or a packet of gummy bears; as everyone who has done something constructive deserves a little thank you. The best reward you can give yourself on long revision days are breaks. I am a big believer in a five minute break after every thirty minutes revision.

  1. Stay connected

It is important to keep up communication with your friends and family during revision times. Let them know how you are feeling, especially if you are anxious about a particular subject or upcoming assessment. You will feel so much better about a problem if you ‘chat’ about it to someone. Also, it can be easy to get cut off from the outside world when you are highly focused; so try not to let this happen. Always try and find your balance between work, rest, and play; remembering that everyone’s balance is slightly different.

  1. Use your family

Using members of your family to learn material is an avenue that few utilise properly. Some of your siblings will have completed exams and may be able to pass on some good quality information or advice; so remind them to save their best notes for you. Even if the content of their notes isn’t suitable for your learning style; their methods, notes structure, style and layout could give you some fresh new ideas in preparation of your own.

Get your parents involved and tap into knowledge and practical advice they may have on subjects they enjoyed in school. Get them to examine you on topics. They don’t need to be experts on parts of the course you are struggling with, as they can refer to Information from your book or notes in front of them. All you need is their time and a willingness to ask you loads of questions. Get the conversation going together to promote extra learning.

  1. Stick to your plan

Whatever plan you have for the next three weeks, try to stick to it as best you can. Working in retail every hour over Christmas won’t get you any extra points. As I always say, ‘you can work for the rest of your life’ (this includes college). Try and balance time wisely if you do happen to have a part time job. I am not a major fan of 6th year students working part-time, but that’s just my opinion.

On a given day, if you plan to start revision at 9am, get up before then, have breakfast, get ready and commence at that exact time. The students that do well are those who apply this self-disciplined approach, and it guarantees that you are getting maximum efficiency out of your time. A high level of satisfaction will come when you get your exam results; knowing you gave it your all. Time and tide wait for no man (or woman). Keep things ticking over during holiday time. 

  1. Try and maintain some routine

Getting to bed at a reasonable time and getting plenty of sleep will help you to stick to your goals and plans. Do this as best you can, even during holiday periods. We all lose our routine over the hols and that’s ok too. However, try and get back into better habits when the new year turns and your first day back in school approaches. This will allow your body to be somewhat adjusted when you return to those early mornings. Over your holidays, enjoy yourself while maintaining some form of sensibility: eat plenty of fruit and veg, drink plenty of water and get loads of sleep. Rest and replenish both physically and mentally and get ready for the encounters ahead.

Tune in to next week’s blog where I will publish Part two of ‘How to Revise More Effectively from Home’. Joe

‘On bad days, put one leg in front of the other. Move, don’t stand still.’

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/ace-solution-books-package

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Joe’s Jotter: Two Underused Revision Hacks for Success

Students,

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

  1. Record yourself

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

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

  1. Rotate your learning

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

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

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

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

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

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

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Joe’s Jotter – Should I Persevere with Higher Level Maths in 2023?

 

More students over the last few years have taken on the task that is Leaving Cert Higher Maths. In June 2022, out of the 57,347 who sat a Leaving Certificate Mathematics Paper, 21,265 of them opted for higher level (37%). 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 change level. 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 misconception 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 fourth 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 June 2022, 98.4% of students who attempted higher level Maths got a H6 grade or above and therefore picked up the 25 bonus points. That is extremely 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. Changing levels 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 changing.  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

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

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

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

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

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

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

Why handwritten notes are still the market leader…

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

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

‘Work hard, dream big, never give up’

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

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

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

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Joe’s Jotter: Performing Well in Difficult Subjects (Case Study – Maths)

As you settle into the new year, teachers and parents totally understand that even though you are making great strides, you still have plenty of fears. From speaking with students over the years, 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 revising all subjects and getting your head space right.

Preparing for one of your less favoured subjects is a blatant case of having to ‘get on with it’. Of course, it is easier to revise and work on subjects you enjoy and are good at, but you must not ignore the others. Studying and preparing the ‘frog subjects’ is probably the biggest challenge you will face in school. You must prioritise these subjects on your weekly ‘Lifestyle Study Timetable’. I will detail how to setup this timetable in a later blog feature. Author and reconstructive surgeon, Jack Penn, once said:

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

Building Confidence in Maths

Maths is one of those subjects that many students find difficult. To me Maths is about grafting to understand the basics, building your confidence, and not being prepared to give up easy. Always start by attempting the easier topic questions (usually the part a’s and b’s) and subsequently graduating to the part c’s and d’s. You should check your work as you go against a good quality solutions book and thus be constantly ‘learning by doing’. Here are some of my top tips to improve your performance in Maths (and its exam) at any level.

Joe’s Top Tips for Success in Maths

  1. Put formulas, explanation of words and keynotes into a little pocket notebook.
  2. Practice as many past exam questions as you can and check your answers against a fully developed and explained solutions book.
  3. Challenge yourself to try and come up with a second method of doing questions.
  4. Try to approach each question from different angles. Always write down something. Do not be afraid of making a mistake.
  5. Draw a diagram (if possible) and label it to simplify a question.
  6. Be familiar with what is and what is not in your log tables.
  7. When studying, exhaust all attempts to answer an exam question before referring to your solutions book. Do not give up easily.
  8. Read each question in Maths carefully underlining the key words and phrases.
  9. At all levels, if you feel overwhelmed by the length and difficulty of the course – start with basic Algebra
  10. Find yourself a study buddy to share questions and resources with. Discuss problems with each other and encourage.
  11. Use various Internet sites as a companion to improve your Maths skills.
  12. Consult your teacher about problems with topics or specific Maths questions during and after class.
  13. Start by attempting basic questions for each Maths topic, building up to a full exam question. Answer the exact question being asked.
  14. The word FAIL in Maths for me means First Attempt In Learning
  15. Do not be afraid to explain a solution to a question with words if you cannot do so with numbers and symbols.
  16. Spend five to ten minutes daily going over what you have learned in class that day.
  17. Every time you write down a formula, draw a box around it to help you remember it. Check if this formula is in your log tables. If not, you need to memorise it.
  18. Anything that you type into your calculator (related to a question) must be written on your answer book/copy also.
  19. Have all resources present when doing Maths questions i.e. Full Maths set, pencil, calculator, and log tables.
  20. 3rd and 6th Years, practice as many previous exam questions as you possibly can.
  21. Rewrite sample questions given in your textbook to get an understanding of the basics.
  22. It is ok to look at a solution to a question if you have tried your best to solve it alone. Use the answer to figure out the exact method for the question. Re-do it without help.
  23. Work with groups of friends on harder Maths questions. Bounce ideas off each other in order to understand and learn from their thinking.
  24. Always write out every single step of your answer. This will be easy to look back, revise and follow later.
  25. Talk positive about subjects you find difficult. Don’t throw away your shot at success by talking your way into failure.

In next week’s Joe’s Jotter, I will advise 2nd and 3rd year students on how to restart their revision routine. Don’t miss it. To view last week’s feature article on ‘How to Efficiently Review your Exam Scripts’, click here. Get in touch if I can help you in any way. Joe.

‘Sail on the Seas of ambition and land on the shore of success.’

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

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

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

*****

*****
Photo:@ZhangChaosheng

Joe’s Jotter: Useful Insights for Parents on…Secondary School Maths

 

I think it may be interesting for both students and parents to consider the following observations I have become aware of in Maths over the last number of years. Maths is a very emotive subject, and everyone has their own way of understanding and practicing it. This presents its own set of difficulties. The below insights and observations should help you as a parent to reach out and help your child with Maths in a more positive way. Read on…

The Second Year Maths Dip

Firstly, in general, I have noticed that some of my students (and those of my colleagues) experience a slight dip in performance in Maths during their second year in secondary school. This is partly due to workload and the fact that the first-year common course is quite basic. This dip for girls is not as pronounced as for boys. There is also a drop off in fifth year, but it isn’t as extreme as the second year one. If your child is heading into second year, you need to be aware that this could be the case for them. I believe that working diligently on their algebra, fractions, and general numeracy (external to the calculator) are the key elements to overcoming barriers. These topics are the three main pillars of Junior Cycle Maths and underpin and are linked to every other topic on the course.

We all need to keep in mind that online learning has not suited some students and that they have missed out on that key face-to-face contact with teachers, especially in Maths. As a parent, it is important that you encourage positivity around this subject and remind them that every student in the country is in the same boat. From a personal point of view, I noticed that last year’s Junior Cycle class did struggle (more than usual) with a variety of topics, but it did eventually come together for them in the end. I expect that the incoming third year cohort will take a while to settle back (through no fault of their own) this year. In fairness, it may take many of them until after Christmas before they settle down into a pattern of revision and work across all subjects. It is understandable that they may not hit the ground running this year and we all need to be cognisant of this.

Girls – Go for it!

From the students I have taught since the Project Maths syllabus was introduced in 2008, I have noticed another trend in my classes. I have spotted that female students are less likely to take risks when attempting past exam questions. The new phrasing of questions on Maths papers suit boys better, as they are less conscious of what they are writing down and are less afraid of being wrong. In my opinion, it is important for girls to express their opinions freely and openly and we, as teachers, need to help them develop this skill. I think it is important for all students not to get unduly perturbed if they cannot get a certain part of a question out perfectly. In Maths now, it is more important to go onto another question (within the allotted time), instead of looking to complete every single question part absolutely perfect.  I feel that Churchill’s (not the dog) quote is quite apt for our modern day Maths syllabus.

“Perfection is the enemy of Progress”.

Winston Churchill (Former Prime Minister of the UK)

One does not really have time for 100% perfection on a Maths paper as they tend to be ‘question packed’, and unlike other subjects, there isn’t time for admiring your work. Students should apply this principle across the board to all their Maths tests in 2022/23.

The New Practical Style Questions

Thirdly, girls especially need to practice more exam questions involving engineering and mechanical parts. My reasoning for this is that, in general, most of the student cohort studying Engineering, Construction studies and Design/Communication Graphics (DCG) at Leaving Certificate are boys, and girls are not being exposed to this specific type of learning. With more everyday life practical questions being the order of the day in Maths, it is inevitable that more technical and mechanical questions will appear in years to come, and girls and parents of girls need to be aware of this. This trend will slowly become more pronounced if the Governments’ promotion and focus on the Science, Technology, Engineering and Maths (STEM) subjects continues and I expect it will.

Always Follow Your Passion

Lastly, in a survey conducted a few years ago, twenty-nine percent of Irish parents surveyed thought that technology subjects weren’t suitable for girls and fifty-three percent of girls in secondary school dropped STEM subjects due to pressure from their parents. These statistics may be contributing to the lack of representation of females working in STEM. Students and parents need to be aware of the excellent third level courses and future career opportunities available in these areas for both genders. Students need to be encouraged to explore all avenues of interest and follow their passions. Pursuing a spinoff of the subjects that a student enjoys each day in school wont set them too far wrong. Joe

**You can achieve more than you actually expect.**

 

To view last weeks feature article on ‘Transitioning into 1st Year or back to school’, click here.

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

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

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

 

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Joe’s Jotter: Tips to ACE the Transition into First Year (Part 1)

 

There are so many genuine concerns for students as they make the leap into the big pond that is secondary school. Over the next few weeks, I will provide Information and direction to help you as a parent to reduce the stress of this unique transition. This feature article comes in two parts. Firstly, i will analyse the differences between Primary and Secondary School followed by my Top twenty tips for Transitioning from one to the other. A further instalment of this feature will follow online in two weeks’ time. There will also be a feature article to aid Parents (of Secondary School students) who have children with a Special Educational Need (SEN) published soon.

The Main Differences Between Primary and Secondary School

Subjects and Settling into Secondary School

  • All first year students will take Irish, English, Maths, Science, History and Wellbeing (excluding exemptions).
  • Students may get a chance to sample subjects in first year before committing to them.
  • Extra-curricular activities such as debating, drama, science club etc may be available.
  • It is a great idea for students to join clubs and make new friends. Remind them about some of the skills of making friends; good eye-contact, smiling, showing interest in other children and reciprocal conversational skills. Making friends is a key element to settling into any secondary school.
  • Encourage your child to enjoy many school activities. I did a study of a panel of footballers I coached previously, and they performed better on average academically compared to their peers. This suggests a link between activity, socialisation, and performance.
  • If your child enjoys a specific sport or activity, it is a good idea to get to know the teacher who co-ordinates it.
  • It will be exciting for your child to start new subjects if the school offers them. For example: wood technology, home economics, engineering, business studies etc.
  • Students should give each subject an equal amount of homework time for the first few weeks to give each one a chance.
  • It is wise for students to complete the homework of their less favoured subjects first each evening. This will ensure their concentration is at its maximum for these subjects.
  • The better your child’s teachers know them, the better working relationship in class they will have with them. This also feeds back into what extra-curricular activities they sign up to. Personally, I find that the better I know my students, the more I am able to help them in the classroom. Encourage your child to build positive relationships with their teachers, even if they aren’t crazy about their personality or teaching style.
  • Advise your child to enjoy their secondary school experiences. This takes any early pressure off them.

The Secondary School Structure

  • The Subject Teacher – most teachers teach two subjects and may spend up to six classes per week with your child.
  • The Tutor/Form/Home Room Teacher – involved in attendance, day to day and possibly some pastoral care or disciplinary work.
  • The Year Head – Home room teachers report to this person. They usually deal with serious discipline and pastoral care issues etc.
  • Deputy Principal and Principal – Admin, School Organisation, Events, Final decisions etc.
  • First Year Students – Students are usually divided into 4 or 5 class groups of around 25 to 30 people (depending on the size of the school). They will remain with this base class for core subjects: Irish, English, Maths, Wellbeing etc. The majority of schools have mixed ability classes in first year. This tends to help with socialisation.

‘Mixed-ability groupings in first Year leads to improved progress in literacy and numeracy and can give students more confidence as learners’

(Moving Up -ESRI/NCCA 2004).

  • Students are usually mixed in their base classes based on Information from their Education Passport (provided by their primary school) and performance in their entrance tests.
  • Streaming may occur in some subjects in second year. This is where students are grouped by their ability – Higher and Ordinary. e.g. Maths
  • The student council body suggests ideas and raises student related issues with school management. Usually one student is nominated from each class or year. This is the students’ vehicle for discussion and influencing change. The schools’ head girl/boy and deputy head girl/boy are usually elected by the school’s student council.

The Day to Day School Routines

  1. It’s important for students to have a substantial breakfast each morning e.g. Porridge, fruit, yoghurt, or a wholesome cereal. Students will need something ample to sustain them until little break when they can have a snack. Advise them on the sensibility of not eating their packed lunch at the first small break and being hungry for the afternoon then as a result.
  2. Roll call, locker access and lunch are at certain times. If your child tends to be dis-organised, make sure to advise and help them to plan ahead for these situations. Ask them to speak to their class tutor or mentor/buddy if any early issues emerge here.
  3. Get them to copy out their timetable into their journal in order to get familiar with it. Colour coding subjects on this timetable can help them track their progress for the week.
  4. In some schools, the students travel to the teacher’s base rooms. In other schools, the teachers move around, and each class group has their own base. Having the correct materials for each class every day is Important. Checklists can help here. Being efficient at having these materials will greatly help the transition into secondary school and keep your child’s stress levels down. Colour coding or identifying belongings with a unique mark also works well.
  5. Moving around a new building can be disconcerting for a child. They can get lost which can be upsetting for them. Advise them to tag on to one person from the class for the first few days or weeks until they get their bearings.
  6. Many schools have gone to hour long classes to facilitate recent Junior Cycle changes. During the first few weeks settling in, they will be tired each evening. It may be an idea to plan ahead so that extra-curricular activities outside school are minimised during this period. After this ‘fitting in’ period is over, plough on with these important pastimes as normal.

Twenty ACE Tips for Transitioning into First Year

  1. Talk with your child, listen to their views and concerns and answer any questions they may have about the planned move. Talk to them about individual subjects. Help them plan their evenings and the fact that each one will now be different.
  2. Many students get anxious about tests. You can explain that they are to help the school to learn more about the supports that they may need. Advise them to speak with the individual subject teacher if they are concerned in any way about a subject or an upcoming test.
  3. Try and bring them inside the school building before term starts. This is to familiarise them with the school at a time when there are fewer people in the building. They can learn about the layout of the school and maybe get to know some of their new teachers. They can become familiar with the operation of the school including the frequency of bells, the location of lockers, where their base room is, and the location of other key practical rooms.
  4. Involve your child in buying schoolbooks, uniform, P.E. gear, materials etc. Involve them in more decision making from now on. Empowerment fosters ‘buy in’ from them and works.
  5. Talk to your child about the length of the school day, how a timetable works and travelling to school. Trial runs are good. Leaving early for school each morning will minimise any anxiety caused by rushing. Anticipate where they may get anxious during the day.
  6. Talk regularly over the next few weeks about the new school rules, P.E. arrangements, the canteen, lunch breaks, uniform, and the timetable. Make yourself familiar with the policies of the school. Regularly check the school’s website for any news or policy updates.
  7. Ensure that as many of their subject teachers know about your child’s exact strengths and difficulties. i.e. Some of this information is on their ‘Education Passport’.
  8. During term one, if possible, visit the school every so often to meet their subject teachers, the tutor, and their year head. Check their journals regularly for any notes sent home.
  9. Get your hands on or draw up a map of the school to promote familiarisation.
  10. Consider that it may take your child time to adapt to a new classroom, new teachers, new activities, and new subjects. Ensure they build in down time each evening to maintain freshness and enthusiasm for the next set of daily challenges ahead. Unlike Primary School, every week differs, and things can be more unpredictable for them.
  11. Organising Issues: Be sure to plan ahead by purchasing additional materials for each subject. School booklists and stationary lists are your first port of call here.
  12. If possible, show them a few little skills around note-taking. Most of their subject teachers may not get the opportunity to work on this vital skill due to the focus mainly being on content.
  13. Talk about and help clarify the Locker process. Many kids get bogged down with this.
  14. Advise them to use their mentor or buddy, and class tutor as best they can.
  15. Getting clever at knowing what equipment is required for each class is important: i.e. protractors, setsquares, colours, stencil sets, rulers, pens, calculators etc. A good tip is to remind them to write down each teachers’ instructions during week one about what is required in each subject. There is no need to carry all of their books all of the time. Put their Class Timetable and School Calendar on the fridge at home as a reminder to all.
  16. Encourage them to sign up to a few clubs and society’s on ‘club’s day’ in September.
  17. Re-enforce the key habit of recording Information, especially in relation to homework. Check their Journal weekly to ensure homework is being recorded and completed properly.
  18. Get the 3-way communication lines going i.e. Teachers-Parent-Student. In primary school, it was more about the Teacher-Parent link. Start including your child in more appropriate conversations from now on. This allows them to feel more important and take more ownership of their school day, and ultimately their learning.
  19. Do as much preparation for each school day the night before as you can. Get your child into the habit of having the uniform out, bag correctly packed by the door, lunch ready etc. This again will reduce stress levels for all involved in the morning madness. Again, consider using a checklist with your child if they struggle to organise themselves in the mornings.
  20. At secondary school, the days tend to be longer. Encourage them to start their day with nutritious food. They should grab something and eat it in the car on hectic mornings. Of course, this isn’t ideal but is certainly better than going without as another busy day starts for them.

To view last week’s feature article on ‘Anticipating Better Revision for 2022/23’, click here.

Part 2 of transitioning Insights into First Year will be published online in two weeks’ time. Don’t miss it. Do contact me if I can advise you in any way. Joe

**Leaders are made. Heroes earn their status**

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

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

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

*****

*****

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

 

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

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

What do you need to learn off for Paper 2?

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

See your textbook for all of these

Geometry

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

Trigonometry

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

[Sin and Cosine Rule is in the Log Tables]

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

Area and Volume

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

Co-ordinate Geometry of the Line and the Circle

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

[ALL THREE OF THESE ARE IN THE LT]

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

Note that the equation can appear in different formats….

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

Probability

100% chance of probability appearing…

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

or

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

Statistics

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

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

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

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

More details about Joe as a Maths Tutor for Junior Cycle and Leaving Certificate (2022) and his Award Winning ACE Maths Solution Books can be found via the links below.

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

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

*****

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Joe’s Jotter: Shorthand Best Practice for LC Maths Paper 1

 

General Guidance for Leaving Cert Higher Maths Paper 1

  • Leaving Cert Paper 1 in Maths is on Friday 10th June so you may have two/three papers done already (Eng/Engin/Home Ec).. i.e. The bulk of the prep for Maths Paper 1 needs to be done from the week before as a result of this.
  • Paper 2 material can come up on Paper 1 and vice versa – i.e. 2015/2017 Trig Functions appeared. Financial Maths appeared on P2 in 2018 even though it’s more of a P1 topic. A&V can appear on both
  • There is no specific layout to the paper year to year – Any topic can appear anywhere.
  • Topics tend to mix together into one question. So….I wouldn’t leave any topics out
    • Example Prob/Stats and Geom/Trig
  • I wouldn’t do extra questions on the paper as you will run out of time
  • Night before exam – Check…Maths set, pencils, two alarms, your usual calculator etc
  • Only answer the question that’s being asked. Read it three times.
  • Often the answer can be hidden somewhere inside the Information given in question
  • Do not scribble or tippex out any writing and make it unreadable. Draw an X through it and make sure it is readable – this could be worth marks and will be corrected.
  • Always give your answer in the form requested in the question e.g. surd form
  • Always use the correct units.. e.g. m2 for the area of a rectangular field etc
  • Only round off your answer at the very end of the sum. Retain as much of the decimal as you can through the question to ensure accuracy and full marks.
  • If you don’t give your answer in the correct form, round off decimal places or leave out the units, you will more than likely lose one marks
  • Exams are scanned in and are then corrected by a person (examiner)
  • When revising, break the course into sections and break each section into sub-topics in order to make it more manageable to tackle. Practice loads of past exam questions.

Sample Marking Scheme Scale for LC Maths

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

LC Maths Exam Paper Layout [Red Text – 2022 only] – Paper 1 and 2

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

  • In 2022, we have Section A: 6 short questions of thirty marks (Do 4 of these).
  • Section B: These are the more practical real life scenario Questions..4 long questions on the paper (Do 2 of these) (fifty marks each). [Both Higher and Ordinary level]
  • Even though there is a choice on both papers, I would NOT attempt an extra question in either Section A or Section B
  • My proposed Timing for 2022: (Apply the 20:30 rule for Exams 2022)
    • 10 mins to read paper and carefully choose questions at the start
    • Short Question (4) (30 marks) – Max of 20 minutes each
    • Long Questions (2) (50 marks) – Max of 30 minutes each
  • Set out a time budget plan before your exam and stick to it.

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

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

  • This could just be writing down line one

OR

Writing down the correct formula and subbing a relevant value into it [‘Relevant substitution’]

OR

Bringing down the last answer and doing something sensible with it

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

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

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

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

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

What do you do if you mind goes blank?

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

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

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

Why are Log Tables so important..?

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

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

More details about Joe’s Maths Tuition Classes for Junior Cycle and Leaving Certificate (2022) and his Award Winning ACE Maths Solution Books can be found via the links below.

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

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

*****

*****

Joe’s Jotter: The ACE Guide to Exam Preparation from Home (Parental Support and Final Thoughts)

 

 Parental Support for Students at Home

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

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

ACE’ing Your Prep at Home – Some Final Thoughts

Students,

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

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

Be Honest and Realistic with Yourself

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

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

Strength Based Learning

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

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

Write Down Your Goals

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

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

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

More details about Joe’s Maths Tuition Classes for Junior Cycle and Leaving Certificate (2022) and his Award Winning ACE Maths Solution Books can be found via the links below.

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

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

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Photo:@ZhangChaosheng

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: Guiding your Child Through Exams 2022

Your Role as a Parent as Exams Approach

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

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

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

Practical Insights to Really Support Your Exam Student

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

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

To view last week’s feature article on ‘Why Practicing Past Exam Questions in Maths is Crucial’, 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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