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

*****

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Photo:@ZhangChaosheng

Joe’s Jotter: The Best Ways to Navigate Secondary for a Student with SEN

 

Students who have Special Educational Needs (SEN) can struggle with various different tasks each day at Secondary School. As teachers and parents of first year students, we want to make their transition to Secondary School as smooth as possible.

The Additional Educational Needs (AEN) Coordinator manages resources for the one in four students (ESRI, 2017) who benefit from support that goes beyond standard classroom teaching. Resource Teachers provide such support and often facilitate learning in small groups or on a ‘one to one’ basis. Practical supports are provided by Special Needs Assistants (SNA’s) to allow some students access the curriculum as independently and inclusively as possible. Many schools have autistic classes where ‘best practice’ in inclusion means that autistic students are supported by the whole school community to develop their strengths, meet their potential and enjoy school life alongside siblings and peers.

This feature article should provide some sapient advice on how you can help your child navigate their day-to-day engagements more seamlessly. It also contains some useful advice and informative recommendations for Parents of Students with SEN that are already attending Secondary School (2nd Years upwards). As I see it, the support they require is twofold: ‘Home’ Support and ‘School’ Support.

 The ‘Home’ Support

  1. Photocopy their timetable, have copies in their locker, on the fridge, in their journal and for their pocket.
  2. Photocopy their bus ticket. Have a spare ticket in their school bag, at home and in their school locker in case it is misplaced.
  3. Get colour coordinated folders. Give each subject a colour. For example, all English related work and notes goes into a green folder. Put a green sticker on the English textbook and English copies and colour code ‘English’ green on their timetable. If you have a map of the school, then the room where English class takes place should also be shaded green. Everything ‘English’ related is green and so on for each subject.
  4. If using a locker key, make multiple copies and get a springy key chain so that they can attach it to a loop on their pants or skirt. Alternatively, use a combination lock and get them to memorise the code between now and the start of school. Mark with nail varnish or spray paint to make it brighter and easier for them to see their property from a distance.
  5. Have a stash of spare copies and additional stationery material in a cupboard at home. Let them know where it is, so that they can draw on it as things go missing or get filled up.
  6. Have a morning checklist on the fridge for: books, lunch, keys, jacket, PE gear etc.
  7. If possible, arrange for them to tour the school before day one. It is also a good idea to do a trial run of their trip to school to get an idea of the route and timing. This will avoid any travel trauma’s during week one. Leaving extra time, if possible, is wise of course.

The ‘School’ Support

  1. If possible, arrange that they meet as many of their subject teachers and year head prior to starting back or as soon as is possible. This gives them certainty about who will be working with and helping them this year.
  2. Look into having a safe and reliable person that they can approach for help and advice in school on a daily basis.
  3. If they have a Special Needs Assistant (SNA), make sure that person has a copy of their colour coordinated timetable, a spare locker key and a copy of the bus-ticket. Provide this person with anything else that might smooth the transition back to school for your child.
  4. Make it your business to get to know your child’s Assistant Principals and Class Tutor as soon as the year commences. Connecting with teachers is always a good start to any year.
  5. Have a notebook that they can write in during the day in case they find something challenging. Both of you can reflect on it together when a suitable time during the week arises, in order to see what challenges might need to be overcome.
  6. For the first hour each evening, allow them to breathe and relax when they get home. Do not expect them to talk immediately after school. It is advisable to allow them some quiet wind-down time first.
  7. Advise them to choose/request a Locker at eye level and at the end of a row. This is so important, as all their classmates and other classes may be scheduled to go to their lockers together, leading to mayhem at times. Having to reach down with people blocking their path can be especially challenging for someone with social or communication difficulties. This is definitely one practical suggestion that will ensure they are on time for each class and that they can get access to the correct materials for each class quickly also.
  8. Encourage them to link up with a buddy or designated person in each subject class, so they can text them to find out what homework they have, should the need arise.
  9. If they are using a laptop, most Secondary School books now come with a code written inside to allow the eBook version of it to be uploaded digitally. This means they can leave more books at school each day, lightening their load.
  10. Getting to know the school secretary, for both you and your child is very worthwhile, as this person will have an awareness of who your child is and what their challenges are etc. With high volumes of traffic, any extra support or eyes around the Secondary School environment can help greatly for those who struggle in various practical ways.
  11. Be aware that your child may get side-tracked at times, realising then that their class is already gone to the next period. This actually happened to me in first year and it’s not a good feeling. Talk to them about what to do in this scenario. Again, an idea for them might be to go to secretaries office. Talking through a few of these little potential situations can really ease their mind as they will retain a visual of what to do should they occur.

To view last week’s feature article on ‘Transitioning to 1st Year from Primary’, click here.

‘Sometimes, if you don’t take a risk, succeeding may become difficult.’

More details about Joe’s Maths Tuition Classes for Junior Cycle and Leaving Certificate (2023) and his Award Winning ACE Maths Solution Books are available below.

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

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

*****

*****

Photo:@ZhangChaosheng

Joe’s Jotter: Tips to ACE the Transition into 1st Year (Part 2)

 

Practical steps to smooth the Transition into Secondary School

There are loads of positive initiative’s both you and your child can take as they start Secondary school. In Part Two of this feature, I will discuss three key areas for you to consider in order to ease this transition: One, the importance of learning support; two, your awareness of how the first few weeks are actually going for them; and three, practical tips for both you and your child to consider at school and at home. Part One of these transitioning tips was published two weeks previous and is available now to read here.

  1. The Importance of Learning Support

  • Secondary Schools will have learning support for your child. If your child’s new school is missing any key Information around this, ensure they get it as soon as possible. Some schools will have a staff meeting (in September), where your child’s year head will outline important strengths and weaknesses of each student (confidentiality assumed).
  • Learning support at Secondary is different to that at Primary school level. Contact the school if your child had been receiving any type of support at Primary that their new school may not be aware of.
  • Flag any difficulties that your child had in primary school, so that it is entered onto their personal file. The class tutor and year heads will then have access to it from there. Ensure to always request the correct learning supports that your child is entitled to.
  • If your child has complex special educational needs, they may need a transition plan to assist them to transfer to their new secondary school. You and your child will be involved in developing this plan. Other people may be involved, as necessary, including relevant teachers from their primary and post-primary school, NEPS psychologist, health professionals etc.
  • As appropriate, a support plan may also include information on your child’s learning, social and communication, care, (for example: dressing, toileting, mobility, and medication), sensory (such as over sensitivity to noise, textures, lights) and physical needs that require environmental adaptations such as changes to the school building, adapted seating or other specialised equipment.
  • Most post-primary schools will have links with their feeder primary schools. This allows for an easier transfer of information between them. Usually, there is contact between the 6th class primary/resource teacher and the receiving post-primary school. This will help to overcome any disconnect between what was taught in primary and the starting point in certain subjects at second level.
  • For all parents, I would recommend writing a one page profile about your child noting the difficulties and barriers they faced at primary school. Include in it the strategies that worked and that didn’t work for them. This would be valuable Information for their tutor, year head and individual subject teachers should you like them to have it. I know that as a teacher, I am always pleased to get Insights like this, should parents be willing to present them. It gives us as teachers a deeper understanding into how each child interacts and learns, allowing us to support and get to know our students better. Outcomes are always better when Insightful Information about a child is shared.

You may also wish to ask the school management team some key questions at the start of your child’s first year…

    1. Where can my child go if they are struggling, anxious or having a meltdown?
    2. What happens at break and lunch time? i.e. unstructured time
    3. How can my child get help with reading, spelling, Maths, or homework?
    4. How will support during class assessments work in each subject?
  1. 2. Awareness of how they are Settling In

  • Watch out for any early signs of bullying by regularly checking in with your child. Tune in from day one to see whats going on and whats being said. A lot of bullying goes on via their phone; so ask them to pass on any issues or concerns they may have e.g. a hurtful comment, message, or mean social media post.
  • With things being a little unsettled for the first few weeks, establishing a routine is really important. I would try to maintain the dinner, bed, study, training, and recreational routines at home as best you can. Kids that are going through change crave some kind of routine and they will look to you first for that stability.
  • After the Initial settling in period is over, keep an eye out for disturbed sleep, anxiety, and poor eating habits – it may be a sign of something not being quite right at school.
  • Watch out for emerging red flags i.e. Not wanting to do activities they enjoy, spend time with friends, or an unwillingness to go to school. Teach your child to talk to you.
  • Ask them: What subjects they like? Who are they sitting beside? Who are you hanging around with? What clubs have they? Always try and get an honest conversation going.
  • Try to listen to them if they have had a bad day.
  • In general, if you get them into good habits in 1st year, 2nd year will be way more straightforward (A major ACE tip here) especially from a communication viewpoint.

      Practical Tips for things to do…together at home

    • Make a few copies of their weekly subject timetable.
    • Photocopy the bus ticket, keeping a spare one in their locker and at home.
    • Help them get organised with colour coordinated folders (available in most stationary shops). Colour code each subject, for example, English goes in the blue folder. Put a blue sticker on the English textbook/copies and colour ‘English’ blue on the timetable. If you have a school map, the room where English class takes place can be shaded blue also.
    • Have a morning reminder checklist on the fridge for: PE gear, lunch, keys, jacket etc.
    • Know the system. If they can view their books on a laptop, this may sometimes allow them to leave the hard copy books in school. Most secondary school textbooks now come with a code where you can upload the book digitally onto their laptop. This is handy Information to know.
    • Making a distinctive mark on their belongings will give them a better chance of them not being lost or stolen, especially during the upheaval of the first few weeks.


     Practical Tips for things they can do…at school

     

    • Having a safe person they can approach for help or advice, more than one if possible.
    • Carefully minding their colour coordinated timetable, the spare key/code and bus-ticket.
    • Trying to build up good relationships with their home room class, class tutor and year head.
    • Ask them to note their daily challenges in a little notebook. It is advisable not to expect them to talk immediately after school. Giving them some quiet processing time will allow you to get a gradual but subtle chat going as the night progresses.
    • Getting to know a friend in each class that they can text to find out what homework or revision they have for the next day. Classmates will vary depending on the subject.
    • Getting to know the school secretary, should any issues or concerns arise.

    To view part one of this feature article on ‘Transitioning into first year’. click here. Joe

    ‘Do your best. That’s all that is ever asked of you.’

    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: 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: Wholesome Summer Foddering for Students

 

Summer is a time for rest and reflection. As a student, do you ever think about your diet and the foods you eat? Do you go overboard on the junk food at times? Here are some pointers to read and have a think about as we approach mid-summer 2022. This article is not to lecture you, but rather to make you think about little adjustments you could make to ensure you are giving your body and mind the best possible chance as a new academic year approaches.

Target One or Two Improvements

Rather than aiming to overhaul your diet and what you eat, start by targeting one specific area for improvement before the new academic year kicks off. This should be something that is most relevant to you and is changeable, for example, breakfast. If you are someone who doesn’t eat a healthy breakfast, you could start by prioritising that. As you become more consistent with that meal, you can work on other mini targets, like eating more fruit and vegetables or reducing sugary drinks. It is important to be realistic about what you wish to achieve and give yourself a reasonable time period to achieve it.

Progress on any changes made should be judged over several weeks (rather than days), as new habits take time to form. Get a shopping list together and ask your parents to stock the fridge and freezer with specific whole foods. The more whole and natural a food is, the better. For example, a beetroot unpackaged and untouched is far better than a jar of sliced beetroot. You get the idea. If you can do a bit of cooking for yourself, you will never go hungry. Minor improvements to the quality of food you consume will help improve your concentration and focus going forward. Indeed, we all could do with that. More importantly for you, this will allow you to make a fast start for Term 1 in September.

You won’t go to far wrong by increasing your intake of fruit and vegetables for the remainder of the holidays. This will help you build up resistance to any bugs flying around come autumn time. Eating as many different coloured vegetables as you can is the secret to providing plenty of nutrients for your body. If you do opt for a takeaway (as is ok at times of course), cook some homemade vegetables to eat on the side. This balances the books a little and ensures you are still getting important vitamins and minerals.

Hydrate as Best You Can

Firstly, it’s important to know that your weight affects your fluid needs. You should drink 35ml of fluid daily for every kilogramme you weigh. For example, a 70kg (11 stone approx.) person should drink 2.45 litres per day. The recommended daily amount of water for a teenager is two litres, which works out at around at eight to ten glasses. The recommendation is to drink more than this if the day is particularly hot or if you are exercising. Research on athletes has shown that a two percent drop in hydration can lead to thirty percent drop in performance. This applies to any activity requiring a certain level of focus. It is also worth noting that a person’s body is made up of 50-60% water.

Water is the best form of hydration, and the benefits of water are well documented. Water increases energy, flushes out toxins, improves skin complexion, boosts the immune system, prevents cramps, balances the body’s fluids, promotes digestion, and eliminates waste products. Having all these benefits working in your favour is only going to help you maintain better health. Some low sugar fruit juices, like cranberry, blueberry and apple are also good for hydration and contain enzymes and vitamins. Fizzy drinks will also increase hydration, but again are to be avoided due to their high sugar content. Other foods to improve hydration include Cucumbers, Watermelon, Pineapple, Tomatoes, Blueberries, Pear, Lettuce, and Melon. Ultimately, sipping on water throughout the day is the best way to keep your body properly hydrated.

If you get dehydrated, your concentration for revision at home or performance on the sports field will be affected. Here are four tell-tale signs that your body is dehydrated and that you need to drink more fluids:

  • Dry mouth and skin: If you are dehydrated, you may not be producing enough saliva, which will lead to a build-up of bacteria in the mouth. Acne may also occur.
  • Food cravings: The body confuses thirst for hunger sometimes. Drinking water will reduce these cravings, as it is water your body often requires not food.
  • Headaches, tiredness, and confusion: A lack of water can lead to headaches during the day. This makes it very difficult to operate to your maximum capacity. Ask yourself the question, “Am I constantly tired?” If the answer is yes, you might just be lacking water in your diet. The process of learning and retaining information has been proven to be more difficult if your body lacks fluid.
  • Urine colour: The colour of urine should be light if you are well hydrated. The average hydrated person goes to the toilet to excrete urine six to eight times daily.

To combat dehydration, bring a bottle of water with you wherever you go. Keeping bottles of cold water in the fridge at home will make it easy to ‘grab and go’ and you can sip away on it as the day progresses. It is important to note that if you feel some of the above listed symptoms, your body may already be dehydrated. Prevention is better than cure in this case. Building good hydration into your everyday routine is a great habit to implement before Septembers’ resumption in school. Summertime presents an ideal opportunity to form this important habit. Joe

**Spend Time, Energy and Effort well over the next four weeks.**

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: Improving our Exam System 2022

 

The debate is ongoing in relation to continuous assessment at Secondary school, with a keen focus currently on the percentage and type of allocation taking place for the new Junior Cycle. Many subjects at Junior Cycle level now have Classroom Based Assessments (CBA’s) incorporated into them. With a review of the Leaving Certificate (likely to be rebranded the ‘Leaving Cycle’) taking place, I am wondering what is on the horizon? As with any change to an assessment model, we need to ensure there are transparent procedures in place and a clear sense of fairness is preserved.

Preserving Fairness

With the above in mind, firstly I feel that any continuous assessment introduced needs to be completed during school time. If students take work home, it may become an unfair competition depending on the socio-economic background of their parents and other extrinsic factors. i.e. I feel we can’t take the chance of having any external interference in projects or tasks that students are required to complete alone. We need to make sure a level playing field is retained for all students and that we don’t allow potential changes to tarnish or unbalance our currently solid exam system.

Should Teachers assess their own Students?

I strongly feel that projects and practical’s should not be corrected by the student’s own teacher. The department needs to hire suitably qualified personnel for these posts. They also need to properly resource schools for these assessments and allocate proper time on the timetable for students and teachers to prepare for them.

Teachers are clear that they don’t want to assess their own pupils. A teacher correcting their pupils’ work for any kind of state certification would leave our existing robust system open to all kinds of accusations. When I read articles from around the world and hear of exam papers being leaked and scandals over corruption in education, it’s clear to me that our exam system here in Ireland actually works pretty well. People need to be careful what they wish for. ‘The law of unintended consequences’ and ‘baby and bath water’ come to mind here. The SEC and our Department of Education and Skills have a great record of always acting professionally and with the utmost integrity when it comes to the exam process. These principles need to be maintained at all costs.

According to a January 2019 report from the National Association of Principals and Deputy Principals (NAPD) entitled ‘Senior Cycle Reform – What do we want?’, the responses are varied in relation to the question of exam assessment. For example, only 22% of principals, deputy principals and teachers support the practice of correcting their own students’ work, with many having concerns that a teacher would be biased against or for a student. That number increases to 30% of parents who would support such a change, with a slight majority of 51% of students wanting it. Not major numbers in favour there are they?

How can we Improve our Current Exam System?

In order to further improve the exam system, I would propose that we have a week of continuous assessment before Easter to take the pressure off the June bottleneck. Each student could still then enjoy their Easter holidays and return refreshed for the last push towards June’s finals. I think by spreading the load more, it would mean that all the focus for the student isn’t placed on one part of the academic year. This would greatly reduce the intensity levels for those two weeks in June.

Would studying a reduced amount of subjects (five for example) be an option?  I think the benefit of having less subjects would mean that students could spend more time exploring and even enjoying their selected ones. It might also take away the focus on how many CAO points a subject can yield and allow them to investigate topics (in these subjects) they genuinely have an interest in. Third level courses are usually made up of quite specific content compared to our current broad based Leaving Cert. Is our second level system too broad?  Are our students ‘Jack’s and Jill’s of all trades and masters of none’?

Another potential option might be a compulsory Transition year (TY) and implementing a form of continuous assessment at the end of that year. This would ensure the majority of students would be eighteen years old upon sitting their final exams and therefore be in a better position to decide on their third level/further education options also. The students could still enjoy their trips, experiences, and work placement in tandem with assessment in certain subjects. In addition to this, I would also like to see a system where all TY’s have the opportunity to sample leaving cert subjects. This would give them a deeper understanding of subject content, prior to making subject choices at the end of 4th year.

I am for some form of continuous assessment, but still feel the final exam is the best way to differentiate the students academically. I would be in favour of students having around 30% (approximately one-third) continuous assessment finalised in each subject, before sitting down to do their final exam papers at the end of 6th year. This would reduce current exam anxiety, especially if the student was made aware of what their score was out of 30 prior to the final exam. This is the way many third level modules operate now.

There are improvements we can make to our exam system, but I feel a lot is still right with it. We need initiatives that would take some pressure off our students, while maintaining the core integrity of the process. Indeed, there are many changes the department could make, and it seems some are afoot. Ultimately, I still firmly believe that sitting down to final exam papers should be retained as the main and fairest judgement. Joe

**Today is a new day. I can try yesterday’s unfinished task again.**

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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Photo:@ZhangChaosheng

Joe’s Jotter – 25 Summer Reflections for Students

 

Students,

Here are some light reflections to help you enjoy your summer holidays and stay in a positive frame of mind.

  1. Enjoy these long summer days.
  2. Write down a vision for your future.
  3. Organise and store what books/materials that you need/don’t need for September.
  4. Take a step above it all and have a closer look at what you are doing.
  5. Once in a while, do something nice for someone. People appreciate generosity.
  6. Set mini goals. Even if you don’t get there, you are still moving in the right direction.
  7. Let people make their own mistakes, sometimes all you can do is advise them.
  8. Find yourself a role model for time management.
  9. Don’t spend any full day on the internet and mobile phone.
  10. If you have a particular problem, talk to someone who has been there.
  11. Be careful who you share your dreams with.
  12. Try and expand your circle of friends.
  13. Record on a sheet all the good things in your life and ignore the negative parts.
  14. Don’t fear change. Tackle it head on. Go for it.
  15. Write a wish list for the summer. Make it fun.
  16. Every so often, take time away from your devices and sit in silence.
  17. Reconnect with friends you have lost touch with over the last year or so.
  18. Go for walks outside in the fresh air – early morning and late night air is the best.
  19. Enjoy each sunny day and don’t take it for granted.
  20. Make a kind gesture to someone without asking for thanks or payment.
  21. Be kind to your Parents. They have made a big effort to help you this year.
  22. Get back into the sports and activities you missed out on this year.
  23. Keep your bedroom tidy and clean up after yourself at home.
  24. Record on a sheet all the things you are doing right in life – Focus on the positives.
  25. Bring back the lol’s.

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: Choosing your Course (My CAO Countdown II)

Investigate each Course’s Content

Student’s, in order to rank your courses in a way that suits you best, choose ones you really want to do (not necessarily the ones your friends are doing or ones your parents want you to go into). Choose for you and no one else. When choosing a course, be sure to examine closely the module descriptor associated with it. This tells you the exact layout of the course, how many credits each module has, how the exams are assessed, how many hours you will spend on each module, how the learning will take place and exactly what you will learn about. Investigate the exact modules you will be studying for each potential course. This is my most important piece of advice. You don’t want to be heading into the winter thinking ‘I am not interested at all in any of this stuff’ #nightmare.

The CAO is not the Only Show in Town

If you have not applied to the CAO or do not receive a CAO offer, there are other options. You should go on the SOLAS website (solas.ie) now to investigate further education alternatives. One could be: Further learning with your local Education and Training Board (ETB); for example, Louth & Meath Education and Training Board (LMETB). Many ETB’s offer Post Leaving Cert (PLC) courses which will give you a Level 5 or Level 6 qualification, just below what you would come out with via the CAO system. These courses are one or two years in duration and often involve practical work experience with companies. The fees for these courses tend to be lower than your standard CAO courses and grants are available in many cases also. You can progress thereafter to a level 6, 7 or 8 course.

PLC courses allow you to see if an area of study or work may suit you. Some courses in third level set aside a quota of PLC (QQI) students to fill course places each year. If you achieve the required results in your chosen PLC course, a third level institution may accept you onto one of their courses. You should verify this will be the case beforehand by ringing up the college and asking them about accessing a specific course via the PLC route. You can find the full list of PLC courses on www.fetchcourses.ie or contact the Further Education College directly. Examples of PLC courses that students regularly progress further from are Pre-Nursing, and ICT. For each CAO course, you will also be able to view (on cao.ie) what PLC requirements will get you a place on a given CAO course. This is well worth researching over the next few weeks to cover your bases.

To enhance your skills in a certain area, you can go also down the apprenticeship training route by checking out www.apprenticeship.ie. The apprenticeship scheme has been recently expanded to include employers and jobs in many fields. Many of these companies involved would be delighted to take you on and help you grow and learn on the job. Apprenticeships were traditionally only for crafts persons like carpenters, electrician, plumbers etc. While these still exist, there are now new ones in ICT, Accountancy, Engineering, Insurance, Catering and Financial technology (Fintech) etc.

A traineeship is also another option which can be considered. A traineeship is based around making you more employable by improving your skills. These tend to be a short duration courses (12-18 months) and are mostly run by the ETBs. Many apprenticeships and Traineeships are ‘Earn as you learn’ based and therefore you can attain your qualifications and get a few quid to live and pay for accommodation also.

If you feel right now that the ‘direct route’ third level journey isn’t for you, have a good look at the above alternatives over the next few weeks. It is imperative to have a little plan in the background, should you not get what you want (See below). You may not even need to use it, but it will certainly give you comfort having it there on the back burner.

You must have a Plan B, C and D

I have spoken to hundreds of students over the years who had their heart set on one course and when they didn’t make it, they had no fall back plan. Your 2nd, 3rd, 4th, and 5th and even 6th choice on your CAO form are really important. You would need to be content enough to accept these should it come to that. I cannot emphasise enough about the importance of checking out the module content of each course you choose. Genuinely ask yourself: ‘Would I do this course’?. This then sets the platform for your Plan B, C and D. Have a look at Part 1 of ‘My CAO Countdown’ advisory for specific questions you should ask yourself when deciding on your courses. If there are a limited amount of courses you really want above all others, contact that institution, and ask them ‘Is there any other way to get into the course by studying something else first, as opposed to the direct points route?’. This could be very useful Information later should things not go to plan.

Remember, if there is a subject matter you really enjoy or a course you feel you would be really good at, you may need to be open to travelling or living in another part of Ireland. Do not rule out the possibility of the UK (UCAS), the Netherlands, Poland, Italy or other European (UNICAS) countries. Fees and demand have dropped for some courses in Europe that are very popular here. Usually, your results do not need to be as high to study courses in the UK and Europe, compared to Ireland. Do that bit of exploration here if your heart is dead set on something. This is an alternative Plan B to consider. Just like in Ireland, places in certain courses may become available when not filled in earlier rounds.

Six Final Key Points of Note

  1. Keep an eye on the CAO ‘alert list’ for new courses emerging in various colleges on www.cao.ie. Courses are added here on a continuous basis in the ‘Applicant Resources’ section of the ‘Course’ Tab on CAO.ie. You can add these into your CAO listing before July 1st (5pm). These courses are not in your CAO handbook (hardcopy). They may also come in at lower points, as many students may not be aware they even exist and will not have them on their listing. As this article goes to press, twenty four third level institutions have courses on the ‘alert list’. Subsequently, if there is a lower than expected application or take up of certain courses, these may be added to the ‘alert list’ after CAO round one.
  2. If you have applied for the HEAR or DARE scheme, you will find out if you are successful or not at the end of June. You will also be able to appeal any decision made from these schemes from early July. Information on HEAR and DARE is on www.accesscollege.ie.
  3. For those of you who have applied for Medicine in various Universities, the HPAT results are due out around the end of June.
  4. The Leaving Cert results are due out the end of August, with the first round of CAO offers due to be issued a few days later. Don’t plan a ‘Leaving Cert holiday’ then!
  5. Students will be able to view their exam scripts (which I would recommend) soon after the results have been released. I will publish further guidance on this at the end of August, so keep an eye out for that. Subsequently, students will be able to appeal their grade in each subject (as required) by filling in a form provided by their school.
  6. I would recommend you sign up to the excellent https://careersnews.ie/ to keep up to date with announcements, CAO developments and news from third level institutions. They send a daily update to your inbox, which is very useful during those few weeks.

I will circulate another advisory article just before CAO Round 1 results are published in late August/early September.

To read Part 1 of this CAO advisory article, click here.

In the meantime, wishing you good luck with your upcoming choices. Joe

 

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

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

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

*****

*****

Joe’s Jotter: Choosing your Course (My CAO Countdown I)

 

Change of Mind Oncoming

As the ink dries on the final few Leaving Cert Papers, the attention for 6th years immediately turns to reviewing and checking their CAO choices made earlier this year. With the CAO change of mind deadline approaching at months end, I felt it good timing to provide some guidance to help students re-evaluate and analyse their earlier decisions.

This is the first point in the year where the CAO process can lead to an amount of anxiety among students. As with every year, students are worried: ‘Will the points rise for my courses?’, ‘have I chosen the right courses in the correct order?’, ‘what if i don’t get my first choice?’ or maybe ‘what if i don’t even get an offer at all?’. This article should serve as a reminder of the importance of spending time properly researching your choices now. Knowing the CAO process well and having confidence in your choices will smooth the way for a less painless journey come results time in the Autumn.

I now strongly recommend that every student begins reviewing their initial choices (made way back in February) over the next few days and not leave it until the final hours, when making key decisions under the stress of a deadline isn’t good. I think it is well worth spending 4 to 5 days ensuring that you make the best possible choices for your future. Knowing you have done your research well will set your mind at ease for the rest of the summer. Your final CAO choices must be submitted online by 5pm on July 1st.

Complete The Final Check

In May, the CAO e-mailed you a ‘statement of application’ record. Open that e-mail now and check that every single detail on it is correct. It is important not to just check course names, codes, possible language exemptions etc, but also to check your personal details. If you spot any incorrect information or spellings, contact the CAO immediately. You can change most of these details online yourself. However, you will need to e-mail the CAO office to change your name, phone number or date of birth, if required.

It should be noted that any change you make to your CAO details/courses over the next few days will be confirmed to you by e-mail. You should always comb over these e-mails for accuracy. If this confirmation e-mail doesn’t arrive (keep an eye on your junk mail), again, contact the CAO office. If you make a mistake on your CAO form, you may not be able to correct it after July 1st. If you enter the incorrect course or accidentally place them in the wrong order, you could see the third level place you want given to another student. From this point of view, I would get a second person (a parent usually) to double check all your Information is accurate. All students must check their ‘Statement of application’ e-mail whether they are changing their mind on courses in this window or not.

How do I Get onto a Third Level Course?

To get your place on any third level course, you need to fulfil three elements. You need to reach the ‘minimum entry requirements’ e.g. For Trinity College Dublin (TCD), the standard matriculation requirements are pass grades in English, Mathematics, a language other than English, and a full set of valid subjects for your examination system. The second element you must meet is the ‘subject requirements’ for a course. e.g. You must get at least an O1/H6 in Maths to get into Engineering at Cork Institute of Technology (CIT). Thirdly, you obviously need to achieve the CAO points required for that course. The exact entry requirements will be listed on the CAO website for each individual course. The message here is that when you are viewing a course’s content and modules, carefully checkout the relevant requirements you need to attain also.

Genuine Order of Preference

The most important thing to be sure of is to put your course choices in the exact order you’d prefer them. You should not order them on how many points you think you will score or change them around based on how your exams went. At the end of a Leaving Cert exam in a specific subject, you may feel you have underperformed or haven’t reached the required grade for a course. Often, this may not be the case. Your first choice should be the course you want to do above all others (your dream course), no matter what last year’s points were. Your second choice is your well researched ‘Plan B’.

You have two separate lists to fill in. The level 6/7 list and the level 8 list. Level 6 is for higher certificate courses, Level 7 for ordinary degree and Level 8 for honours degree courses. You may be offered a course from both lists, but you can only accept one of these. No matter what college course you commence, you will always have the opportunity to progress to a higher one once you have completed your chosen one in full. The course you select is just the beginning of your career journey. It is not the final step.

On each list, be aware that if you are offered your second choice for example, you cannot be offered your third choice or below thereafter. In this scenario, you can still be offered your first choice in future CAO rounds. You can go upwards on each of your two lists but cannot go downwards. This makes your order of preference decision even more crucial.

Changing your Mind

You can change or add in new courses to your Level 6/7 and your Level 8 list before July 1st @ 5pm. The only courses that you cannot add in at this stage are called ‘Restricted courses’. Restricted courses will be marked in your CAO handbook. An example of a restricted course may be a Music degree where a practical element was required to be completed earlier. Another example is Medicine where the ‘HPAT’ exam is also completed and assessed prior to CAO day.

Ideally, fill out all ten choices on both lists. I would advise entering at least seven courses on both lists to cover your bases well; choosing courses you have a genuine interest in.

How to Choose a CAO Course

When selecting your courses, ask yourself questions like:

  1. What areas did I enjoy learning about in school?
  2. What subjects in school have i a natural curiosity for?
  3. What subjects in school didn’t really feel like work?
  4. What modules would get me up for early lectures on cold winter mornings?
  5. Is there a topic or career I believe I have a passion for?
  6. Am I narrowing my focus on a specific area too much?
  7. What subject would I like to find out more about?
  8. Could I see myself working in this career or a similar one in five years’ time?
  9. What draw’s me to this course?
  10. Have I a good solid Plan B?

You don’t need to know the exact answers to all of these above questions, but it will certainly get you thinking about the reality of whats ahead and your current decisions. A bit of soul searching is necessary before reaching your final order of preference. Keep in mind also that you will probably be graduating in three or four years’ time, so think ahead a little about what jobs and careers might be in demand them.

In general though, select your courses based on your talents and passions, not how much money you can earn from a career or what other people think. Oh! and did I mention the deadline is July 1st at 5pm? I did of course. The sooner you start your deliberations, the more thinking time you will have. You can contact me (via the below details) for a short consultation should you need advice or more detailed information on this year’s CAO process or third level applications 2022. Part two of ‘My CAO Countdown’ will be published and circulated next week. Joe

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

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

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

*****

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Photo:@ZhangChaosheng

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

 

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

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

What do you need to learn off for Paper 2?

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

See your textbook for all of these

Geometry

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

Trigonometry

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

[Sin and Cosine Rule is in the Log Tables]

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

Area and Volume

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

Co-ordinate Geometry of the Line and the Circle

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

[ALL THREE OF THESE ARE IN THE LT]

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

Note that the equation can appear in different formats….

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

Probability

100% chance of probability appearing…

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

or

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

Statistics

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

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

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

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

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

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

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

*****

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

 

General Guidance for Leaving Cert Higher Maths Paper 1

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

Sample Marking Scheme Scale for LC Maths

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

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

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

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

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

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

  • This could just be writing down line one

OR

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

OR

Bringing down the last answer and doing something sensible with it

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

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

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

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

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

What do you do if you mind goes blank?

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

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

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

Why are Log Tables so important..?

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

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

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

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

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

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Joe’s Jotter: The ACE Exam Day Quick Reference Guide 2022

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

Pointers to Get You into the Exam Head Space

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

 Ten Admin checks fundamental to the Exam Hall

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

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

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

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

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

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

*****

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Joe’s Jotter: How to ACE Any Maths Exam

 

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

Sensible Tips When Dealing with a Maths Exam Paper

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

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

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

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

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

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

*****

*****

Photo: @ZhangChaosheng

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

 

The Importance of Your Friends

Dear Students,

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

Maintain Some Form of Exercise

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

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

Trusting the Exam System

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

Staying Positive

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

Keeping a Diary

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

Things Change Quickly

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

“Nothing lasts forever, even cold November rain.“

Guns N’ Roses

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

 Recommended ACE Stability Measures

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

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

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

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

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

*****

*****

Photo:@ZhangChaosheng

Joe’s Jotter: Supporting your Child Through to Exam Day

Dear Parents,

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

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

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

Providing that Subtle Support

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

  • Provide your child with a suitable place and time to do their homework. Minimise interruptions and distractions from television, phones, and other siblings.
  • If a child has difficulty with homework, you should try where possible to help them overcome it with explanations and examples, without actually doing it for them.
  • In the case of recurring homework problems, it is advisable to ring or send a quick note to the subject teacher to explain what the problem or issue is. If you are a parent of an exam year student and want to get in touch with a teacher, a phone call is probably the recommended form of communication at this stage of the year.

 Encourage them to Express Themselves

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

Success and Failure

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

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

Five Practical Tips to Support Your Exam Student

 

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

Help them maintain a well-balanced daily routine.

You should guide your child to aim for a proper balance between revision and rest. After each exam or class test, they need time to rest and recharge before they can do any beneficial study for the next challenge. With a lot of tests in school at the minute, it is important to maintain that freshness where possible. Late-night study sessions are not advised.

Studies have shown that a good night’s sleep improves exam performance.

All revision should end at least an hour before bedtime to allow your child time to unwind before sleep. Encourage them to conclude revision at a reasonable time and start unwinding in order to slow down their body and mind. This will result in a more refreshing night’s sleep. It is not advisable to fall straight into bed from their study desk. The issue here is that their mind will be buzzing for hours as they attempt to get to sleep. You will need to use a collaborative partnership approach for success on this action.

You are what you eat.

What you eat and drink affects your performance in any activity, especially one involving mental sharpness. As a parent, you should try to ensure your child has nutritious food as exams approach. Start with breakfast each morning, the lunch they bring with them if they are facing long days, their evening meal, as well as snacks during the day. Grazing on junk food is very tempting at times of increased stress but should be avoided as much as possible.

Success is always a team effort.

Drawing on the support of everything that is potentially positive in a student’s life helps to maximise exam performance. Such supports include a heightened awareness on the part of all family members in their interactions with the person doing exams. Meeting with friends and participation in sporting or social activities should be encouraged. All these factors help to maintain a student’s ‘high spirits’ during an extended exam period.

It is advisable not to over hype the importance of any subject examination.

It is very easy in the middle of a stress-induced experience, such as a major exam, to get the whole event totally out of perspective. The secret here is to try and maintain their normal school routine. It is better to focus on their performance rather than their points. Parents should ensure their child is clear that your unconditional love and regard for them is in no way dependent on how they perform in the annual academic Olympics. Your affirmation is the greatest gift you can give them, prior to and during their tests. Good luck. Joe

 

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

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

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

*****

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Photo:@ZhangChaosheng