Joe’s Jotter: How 2nd and 3rd Years Can Make the Most of their Evenings

Students, as we come towards the end of the first few weeks back in Secondary School, it is important now that you get into a routine of homework and revision, both during the week and at the weekend. Breaks are important for all students who are putting effort in at home each night, as well as giving yourself some wind down time before bed also. Over the next few months, try and improve the standard of your homework. Always take pride in how you complete written homework. Doing homework like a mini exam is the best form of preparation for your any upcoming tests. Here are four more practical tips you can try to get the more out of your evenings.

Be positive

Being positive will vastly improve your attitude towards study and therefore its quality. You should always focus on what you have studied, what you have learned or what you know as opposed to continually looking at what needs to be done. When you come across an awkward question, you need to box it off properly in your mind. Instead of thinking, “we haven’t covered this!” or “how is this relevant to what I know?”, you need to reflect on how it links into your subject, topics within the subject and what your teacher has taught you in class.

The same goes for studying prior to the exam. Take control by changing the way you speak about your preparation. Instead of saying “I should be studying more”; be good to yourself and say, “Well I did a solid two hours this morning and will go back to it tonight”. Change “I should be…” to “I’m going to…” Research has shown that positive language can lead to more positive results. If you say: “I can’t climb that wall”, you are less likely to succeed in the task, as your brain has almost been auto programmed to fail. As a Maths teacher, I love this equation of positivity:

Positive attitude + Positive actions = Powerful results

Look after your eyes

You will be doing plenty of reading from textbooks, summary notes, post-its, flashcards and the likes over the next few years, so it is important to look after your eyes during this period. The expert’s advice on reducing eye strain is to apply the twenty-twenty-twenty rule. That is to take twenty seconds to look at something twenty feet away and repeat this every twenty minutes. Going outside on your breaks will get some fresh air to the eyes. Another good exercise is to simply rest your eyes in the palm of your hands for a few minutes, making sure that no light gets through. Too much time on devices wouldn’t be great for keeping your eyes fresh. Just saying!

Rotate your learning

The brain can only concentrate on a subject matter for a certain time period. At times, when I was penning my ACE Study Guidebook, I needed to get away and come back to it in order to maintain my focus. Rotate your work between memorising content, writing, oral work, audio, Internet research and watching documentaries etc. Most importantly, rotate your subjects. We all enjoy discovering about subjects we find interesting, but it is so important not to forget the subjects you find difficult or the ones you are just not as interested in. Rotation of stimulus will trick the brain into performing better and going for longer.

Become an active learner

During study sessions, always have a pen and a highlighter to hand. You should mark the key points onto your textbook, write brief comments at the side of the page or underline the important sentences. This information should then be transferred to a summary page later. I really like this method of revision as it reduces the quantity (amount) of notes you have to analyse and there shouldn’t be a need to revisit that part of your textbook again. Active learning is a great way to keep yourself tuned into what you are studying. Spend time thinking about how you can use your life experiences and places visited to enhance essays or answers with a few extra bells and whistles. Individuality and drawing on your personal experiences are what every Teacher and examiner is looking out for in your answers. You need to try and stand out a bit from your fellow students.

Next weeks ‘Joe’s Jotter’ will provide students with six ACE pointers to settle them back into revision. Don’t miss it. To view last week’s feature article on ‘How to Perform Well in Subjects you Find Difficult’, click here. Get in touch if I can help you in any way. Joe.

‘Record all revision done so you can track whats what later.’

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 Facebook Page: https://www.facebook.com/JoeMcCormackEducationalExpert

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Photo:@ZhangChaosheng

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: Reviewing your Exam Scripts Efficiently 2022

Leaving Cert Students,

Many of you will wish to view your Leaving Certificate Exam Scripts to see where you made errors and possibly where you should have picked up some more marks. The first thing to note is that from 12pm on Tuesday September 6th, students will have access to their written exam (component and final) marks via the candidate self-service portal. If you wish to review your scripts, you must apply to do so between Tuesday 6th September @ 5pm and Wednesday 7th Sept @ 8pm. I would recommend that all students review both their scripts marked on paper and online, especially if you find yourself in some way disappointed or confused by your grades.

If you are going to your school to review your scripts, be sure to bring a subject expert with you to find out if it’s worth getting your paper rechecked. You must attend the review yourself but can bring in a different adult for each script. Traditionally, around twenty percent of all rechecks were upgraded. Although this number has now dropped through increased accuracy and the new grading system. For equity, the period of access to online scripts will be identical to the time given in schools to review scripts ‘marked on paper’. It is worth noting though that you can do both. A short application will need to be filled out over the next few days if you wish to review any of your scripts.

Script viewing in schools for ‘scripts marked on paper’ will take place as follows:

  1. Script viewing time 1: Saturday 10th September 9-11am
  2. Script viewing time 2: Saturday 10th September 12-2pm
  3. Script viewing time 3: Saturday 10th September 3-5pm

Script viewing in schools for ‘scripts marked online’ will take place as follows:

  1. Script viewing time: From Saturday 10th September@ 9am to Sunday 11th September @ 12pm (Noon)

The appeals facility application window for those who want their grades rechecked will be open from Saturday 10th September@ 9am until Monday 12th September @ 12pm (Noon)

Remember also that further rounds of the CAO process may still hold offers for you, as some students may not take up a specific place offered on a course. You also need to be aware that ‘available places’ emerge where colleges don’t manage to fill the total places available on a given course. This facility will become available on the CAO website on after round one offers have been issued and will be updated on an ongoing basis.

Here are my twenty ACE Tips when viewing your scripts over the next number of days:

  1. Be realistic. For a 600 mark subject, you will need 6 marks to get an extra 1%.
  2. Have someone to advise you, whether you are viewing scripts in your school or online.
  3. Check all totals first to ensure there are no clerical errors.
  4. Use all the time you have been allocated to ensure you are satisfied with each script.
  5. Bring in your mobile/tablet to take pics as necessary. Ensure your phone is well charged.
  6. Marking schemes for each subject will be available in the review centre for you to cross check against scripts. The marking scheme will be on the examination’s website soon also.
  7. If your percentage mark given is quite close to the grade band below it, you need to be careful about appealing the subject in case you are downgraded. Use common sense here.
  8. Take time afterwards to consider your options. A recheck is free and between 14% and 20% of students are upgraded each year.
  9. An upgrade later may cause a change to your CAO offer if you achieve enough extra points and have reached the minimum entry requirements for a given course.
  10. You cannot bring pens/paper into the script viewing or write any information down.
  11. The online viewing option will also have a time limit allocated to it.
  12. Keep a close eye on your candidate portal over the next week.
  13. If you spot an error in a script, take a photo. Photos are important if making a case.
  14. In the case of viewing subjects online with two papers. Two forms will need to be filled in, one for each paper. Double check this.
  15. Marks inside square brackets denote disallowed marks in excess of the number of questions permitted for a paper.
  16. Marks inside a circle (in the left-hand margin) beside the question number are the total marks allocated for the question part.
  17. During viewing, use the calculator on your phone to check all subtotals and totals.
  18. Organising superintendents that are present during the viewing cannot provide any advice on appeals, errors or otherwise.
  19. Read through each page of your script calmly and carefully in the viewing centre.
  20. You do not have to make an appeal decision on the day. The deadline for making any appeal is Sunday 12th September @ 12pm (Noon).

To view last week’s feature article on ‘Your Guide to CAO Options 2022’, click here. Get in touch if I can help you in any way. Good luck, Joe.

‘Every day isn’t champagne and roses. You will need to dig in sometimes.’

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 Facebook Page: https://www.facebook.com/JoeMcCormackEducationalExpert

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Photo: @ZhangChaosheng

Joe’s Jotter: Your Guide to CAO Options 2022

 

The results of the State Examinations Commission (SEC) jury are now in as we await round one of CAO offers on Thursday September 8th at 2pm. Successful students will be sent an e-mail from the CAO with round one offer(s) from 1.30pm onwards on Thursday. Students who do not receive an offer will get an e-mail from the CAO with their ‘Statement of Application Record’.  All students should again check that all details on this e-mail are accurate to ensure the CAO has not made an administrative error.

Over the next few days, it is sensible not to overly predict what will happen with your CAO application. Predicting points for courses can be a futile exercise, as points on a given year are determined by demand from students for a course, combined with the number of places on it. Unfortunately, there is no magic formula for predicting what can happen.

Accepting a Place

On Thursday, you may get two possible offers; one from your level 6/7 list and one from you level 8 list, assuming you have filled in both. Level 6 courses are ones offering a two-year higher certificate, which are found mostly at the Institutes of Technology. Level 7 consists of three-year ordinary level degree courses, while level 8 are honours degree courses. You may be offered a third level place from both lists; however, you can only accept one. You have until 3pm on Wednesday September 14th to accept your place.

Once you accept a place on a course from your list, you cannot be offered a place on a potential course below it (on the same list) in future rounds. You can however be offered a place on a course above it (on the same list), irrespective of whether you accepted your initial offer or not. You can always move up on your listings, but never down.  Note that if you do not accept an offer and no subsequent offer is made to you, that original offer will be distributed to another applicant in the next round.

If you are offered a place on any course, I would advise you to do some serious research on its content to ensure it is suitable one for you. You can do this on Qualifax or the specific college website. Do not accept a course that you don’t really want to do, as you may end up dropping out and possibly paying full fees (€3,000 approx.) the following year. I feel that it is important to be somewhat passionate and have a degree of curiosity about a course and subject matter in order to study and research it for three or four years.

Remember that the level 6/7 route is also a viable option for students. In many cases, you can subsequently progress to complete an ‘add on year’ to reach your level 8 degree target. This course transfer process is known as ‘Advanced entry’. If you accept a level 6/7 course, you should then think about a potential pathway to maximise your qualifications later. A phone call to the third level college may be worthwhile to get more Information on this. If you are in doubt about anything CAO related over the next few weeks, you can contact them through the correspondence section of their website.

Deferring a Place

If you wish to defer the place you’ve been offered, contact the third level college directly (not the CAO office). They will ask you to confirm your deferral by e-mail. The college will subsequently send you an e-mail confirmation of this status, which you should retain.

In order to take your place on this course the following year, you should re-apply to the CAO and simply enter that one course on your CAO. You should not enter other courses unless you have changed your mind about accepting the one you have deferred.

Available Places

The available places facility of the CAO website will re-open on Friday September 9th at 12pm. These courses can be applied for by any student. Applicants must meet the normal minimum entry requirements for a given course. Previously published points in earlier rounds should not be taken as an indication of the points required for entry to an available places course. The role of the available places facility is to advertise new courses that have been launched since the CAO deadline. They also advertise courses where all places have not been filled on them i.e. demand wasn’t as high as expected. The available places application procedure is similar to the ‘Change of Mind’ one. Available places courses are added daily on the CAO website, so a regular check in here is recommended.

Available places, although limited, may be a saving option for those who didn’t get their desired course and aren’t sure about accepting another offer they don’t really want. Again, my advice here is to research the course really well. The UK’s version of available places is called ‘clearing’. This is also worth a look if you are willing to travel and have your heart set on something. When I was doing my exams in the 1990s, there was really only one way into courses and by inference, careers. Now, there are so many routes and pathways you can investigate. No matter how bad things are, ‘You always have options’.

Script Reviews and Appeals

If you do miss out on the course you had your heart set on, you should seriously consider reviewing your scripts with the possibility of an appeal (completed through a shorter timeline from now on) later. Under the new system this year, upgrades after rechecks will not see students lose out on college places which they have achieved the required points for (unless they are unlucky enough to lose out through ‘random selection’, which can happen at any stage of the process). Some third level institutions will allow you to complete a ‘Second chance’ Maths exam to reach a specific grade requirement and therefore be accepted on a course you have enough points for.

Details of how you can review your exam scripts and the appeals process has now been released. I will publish advice and full analysis around this in my next ‘Joe’s Jotter’ feature article on this Tuesday 6th September at 11am.

Apprenticeships and PLC Courses

If a CAO offer doesn’t come your way, don’t lose hope. Apprenticeships and PLC courses are also real options for you. Full Information about these options is available on the Careers Portal website. Apprenticeships were traditionally based around the crafts, but many new ones have emerged (almost fifty in total) including in areas such as Accounting, Commi Chef, ICT, and Insurance etc.

While Ireland now needs more graduates for the health, teaching, and IT sectors, it also needs those with the skills acquired through the various apprenticeships. For every eight students attending higher education, only one of these will be in an apprenticeship. I think the minister needs to continue to work on re-addressing this balance through consistent encouragement, promotion, and expansion of this sector.

PLC’s courses can be used as a springboard to a certificate, diploma or even a degree course. Personally, I find the courses section of the Careers Portal website brilliant for researching these courses and this site will also show you a route to move from your chosen PLC course into higher courses at third level later. This allows you to map out your future pathway. It is worth noting that the minimum entry requirements on PLC courses is usually lower than third level ones. Once you get your foot on the first step of the ladder, it is a lot easier to keep climbing. Stay positive. What’s for you won’t pass you by.

Keep an eye on my Facebook page (link below) for more Information on the CAO and college offer process. To view last week’s feature article on ‘Navigating Secondary School as a Special Educational Needs (SEN) Student’. click here. Joe

‘Put you at the centre of decisions for the next while. Look after 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 Facebook Page: https://www.facebook.com/JoeMcCormackEducationalExpert

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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

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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

 

*****

*****

 

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

 

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

The Main Differences Between Primary and Secondary School

Subjects and Settling into Secondary School

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

The Secondary School Structure

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

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

(Moving Up -ESRI/NCCA 2004).

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

The Day to Day School Routines

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

Twenty ACE Tips for Transitioning into First Year

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

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

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

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

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

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

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

*****

*****

Joe’s Jotter: 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 – 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

*****

*****

Joe’s Jotter: Was your Revision Good Quality this Year?

 

Students,

Did you struggle to find the best ways to revise this year? Did you feel like your classmates were always a step ahead of you in class? Do you just read your notes aimlessly hoping you will remember some of it later? What areas of revision did you fall down on this year?

Each student learns differently. Each student needs to trial different methods until they find the ones that suit them best. Learning is most constructive when a student approaches a topic from different angles to get a better handle on it. The more ways you can approach learning, as opposed to just ‘learning off’ material, the more successful you will be.

Successful students are those who can think critically about the content presented to them. To do this, you as a student should carefully read the information presented by the author, understand it as best you can, and then begin to question and really think about it. Being critical of text doesn’t just mean being negative; it also means being knowledgeable and really assessing the quality of the information. My ACE tip here is to use your imagination, challenge the question being asked and never be afraid to offer your own personal opinion on topics. State Examiners love personal opinions, as it shows you can think independently.

In 2013, The Open University (UK) developed a ‘stairway’ model to help students understand the skills of critical thinking. Students can apply these steps to a specific topic in order to understand it better. I think this is an excellent way of actively revising, as you are reflecting on all aspects of the information presented. This method would be particularly useful in subjects like English, Economics, History, Geography and Business.  The steps are as follows:

  • Process: take in the information (i.e. in what you have read, heard, seen, or done).
  • Understand: comprehend the key points, assumptions and arguments presented.
  • Analyse: examine how these key components link together.
  • Compare: explore the similarities and differences in each idea you are reading about.
  • Synthesise: bring together different sources of information making logical connections between them.
  • Evaluate: assess the worth of an idea in terms of its relevance to your needs.
  • Apply: transfer the understanding gained and use in response to questions, assignments, and projects.
  • Justify: use critical thinking to develop arguments, draw conclusions, and identify implications.

In today’s more modern Junior and Leaving Certificate, you need to be able to apply knowledge to a topic. Learning off too much information is a common mistake made by students and is not recommended. This is the opposite of applying knowledge. There is more of an emphasis now on applying everyday life experiences to questions asked. Besides, if you were to feel nerves, you are less likely to remember a lengthy essay you have memorised.

Your revision time is better served by preparing summaries, bullet points, post-its, key points, and mind maps. The State exams are now more about identifying important information in a question and discussing its merits, as opposed to emptying the contents of your head onto the answer book. Mix the content you have revised in class with what is going on in your own life. This is something to reflect on as you plan your Autumn revision strategy in each subject.

 

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

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

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

*****

*****

Photo:@ZhangChaosheng

Joe’s Jotter: 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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