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: 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 Guide to Exam Preparation from Home (Parental Support and Final Thoughts)

 

 Parental Support for Students at Home

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

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

ACE’ing Your Prep at Home – Some Final Thoughts

Students,

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

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

Be Honest and Realistic with Yourself

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

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

Strength Based Learning

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

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

Write Down Your Goals

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

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

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

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

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

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

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Photo:@ZhangChaosheng

Joe’s Jotter: Nifty Tricks to Remember Maths Formulas

 

Maths Students,

Knowing how to use formulas correctly is still as important as it was back in the 80’s and 90’s when you parents were young. Formulas help us understand questions better and assist us in converting the theoretical wording of a question into something useable. Often subbing in any correct value into the appropriate formula will yield low partial credit in an exam e.g. 4/10.

Formulas also enhance our understanding of practical scenarios. For example, the Quadratic Formula is used to find the location and value of various unknowns, trigonometric formulas are used to find distances and heights of real world objects in architecture and aviation, and Statistics and Probability formulas are used in insurance and mortgage calculations. A student’s problem is that not all Formulas they need to be familiar with are present in the Log Tables provided. So, what is the best way to remember the ones that aren’t?

 The Six Best Ways to Make Maths Formulas Stick 

  1. Link the formula to something fun or interesting in your life.

Build a song or a rhyme around a given formula. The sequence of the song or rhyme can be the different parts of the formula. Look up an example on the Internet, or better again invent your own one which will make it easier for you to recall. Examples include: BOMDAS for order of operations and SOH CAH TOA for Trigonometric ratios in a right angled triangle.

  1. Understand each part of the formula.

When you understand a formula and whats its parts are, it is much easier to memorise it. Take time to understand the rules, variables, logic, and symbols in the formulas you use in Maths classes every day. Be very clear on what each letter represents.

  1. Put it on your wall.

Write each formula on its own A4 page and put it up on your bedroom wall to allow it to sink in. This is the best way to memorise formulas, as they will be seeping into your brain without you even knowing it. Wall summaries regularly catch ones eye, forcing the brain to take pictures of them. This is definitely an underused trick in revision and exam preparation. 

  1. Let formula’s sit before learning them.

In my experience, it takes time to learn formula’s; it isn’t like a set of French verbs or physics definitions that you may be able to cram. Every time you use a formula in class, be sure to write it down in your copy. The more times you write it, the easier it will be to remember it later. I would recommend buying a little A5 hardback and note all formulas from the Maths course into it, even the ones that appear in the Log Tables. This hardback is something you can flick through on journeys or even while keeping an eye on a bit of TV. It’s all learning!

  1. Take them to bed with you.

At the end of each day, have a quick glance at any new formulas you learned that day. Check how well you memorised them by trying to write them down without looking. I would estimate that knowing which formula to use where in Maths is worth at least 25% in exams.

  1. Most Formulas are in your Log Tables.

It is crucial to learn the formulas that are not in your log tables and be familiar with the ones that are in there. Try and get used to using the index on Page 1 of the Log tables in order to access the formulas you need quickly. The main formulas we use in the log tables are on Pages 8, 9, 10, 13, 14, 15, 16, 18, 19, 20, 21, 22, 25, 30, 31, 34 and 36. Good luck. Joe.

 

To view last week’s feature article on ‘Guiding Your Child Through Exams 2022’, click here.

 

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

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

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

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Joe’s Jotter: How to ACE Any Maths Exam

 

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

Sensible Tips When Dealing with a Maths Exam Paper

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

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

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

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

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

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

*****

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Photo: @ZhangChaosheng

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

Dear Parents,

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

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

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

Providing that Subtle Support

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

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

 Encourage them to Express Themselves

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

Success and Failure

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

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

Five Practical Tips to Support Your Exam Student

 

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

Help them maintain a well-balanced daily routine.

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

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

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

You are what you eat.

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

Success is always a team effort.

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

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

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

 

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

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

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

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Photo:@ZhangChaosheng

Joe’s Jotter: How to become a Specialist at Maths Exams (Part 2)

 

Thousands of students have gone through the exam system having achieved their dreams, so be sure to aim high and keep believing in yourself. Put a plan in place today, so that you can revise effectively for all your upcoming Maths exams. Here are my top twelve tips to ACE any Maths Exam – both in preparation and tackling an exam paper on the day.

Top Twelve ACE Tips to Success in Maths

  1. Do out a weekly study timetable ensuring Maths is prominent on it. Make sure there are loads of topic variety with Algebra and Functions being the Initial cornerstones of learning.
  2. Buy a hardback and enter all keynotes, new information learned, and formulae’s that are not in your log tables into it. Divide it into topics to find Information easier.
  3. Note all new words you learn each day. If you don’t understand the meaning of them, ask your teacher or google them. Write down their meaning in your own words when you find out. One of the biggest issues in Maths is not understanding the words used on the paper.
  4. Practice past exams questions to get used to the wording, layout, and style of them.
  5. “Homework is study”, so approach all Maths homework as an exam hall question.
  6. Practice challenging questions at home. Time yourself on each question to get used to ‘Exam Hall’ pressure. Stick rigidly to the timing for each question.
  7. Get a “study buddy” that will complete past exam questions for you and with you. You can then meet up regularly and share Information and exam solutions with each other.
  8. On the day of the exam, read the wordy questions three or four times and then step through them word by word, line by line, underlining the key words as you go.
  9. Prepare for each exam the night before by checking you have all the materials you need for it. This is especially important in Maths.
  10. Don’t be afraid to express yourself in simple English if you are not sure what Maths to use to solve a problem. The State Exams Commission (SEC) encourages this type of creativity.
  11. Buy yourself an Exam Paper Solutions Book. You can use this book to check the work you are doing and to help you get started on the more challenging exam questions.
  12. Start today.

The Importance of the Words and the Formulas

Lastly, the language of Maths is extremely important especially since the birth of ‘Project Maths’ in 2008. The State Exams Commission (SEC) now place more of an emphasis on students knowing and understanding concepts and topics, as opposed to just been able to do numerical calculations. There are more words than ever on our Junior and Leaving Cert Maths exam papers, and it is crucial that you start familiarising yourself with them.

If you are not familiar with the words and phrases that appear on the paper, you may not be even able to get a question started. This would be an awful shame given the amount of time you have spent learning the mathematical skills. You need to be aware that different words have a different meaning depending on the subject. For example, the word “Evaluate” in Maths is quite different to what it means in English. I believe that knowing the key words and phrases is now a key component of “Ace-ing” a Maths exam. Apply the principles that I have outlined in this feature article to ACE any Maths exam you take on in 2022. Wishing you good luck students. Joe

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

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

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

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

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Photo:@ZhangChaosheng

Joe’s Jotter: Positive Ways to Cope with Exam Strain

Play is as important as study

It is vital that you build in time to have fun and relax between study sessions. Use your Lifestyle (Study) Timetable to help you plan enjoyable activities of relaxation and ‘play’. Going to watch your favourite team is a great way of taking your mind off school. Listening to music works also, especially if you combine it with a walk. Neuroscientists have done research into the link between music and anxiety. They say they have discovered a song that reduces anxiety by sixty-five percent. The song is called ‘Weightless’ and is written by ‘Marconi Union’. Download it.

“Life moves pretty fast, if you don’t stop and look around once in a while,
you might just miss it”
                                                                                                                                                                                Ferris Bueller

Take and enjoy your breaks

Breaks are to be viewed as a positive around exam time. Academics with high concentration levels know the importance of breaks. Air traffic controllers are forced to take regular breaks to ensure they stay fresh. If you find that you are losing concentration, take a short break – go for a walk, talk to a friend, or just do something different. When you resume study, you will feel refreshed and be better able to concentrate on your revision again. Never beat yourself up for taking little breaks to keep fresh.

Liquid discipline

I would discourage you from drinking too much coffee, tea, or fizzy drinks around exam time. Caffeine may key you up and cluster your thinking. Naturally, you will feel a sugar rush from fizzies but remember “what goes up must come down!”. Just for this short period, maybe try some herbal teas like camomile or peppermint. I find peppermint tea is a great stomach settler. Try and get as much water into you as possible as the exams approach. If you become dehydrated from the lack of water, your concentration levels will drop. This is a scientifically proven fact.

Exercise the body as well as the mind

Regular moderate exercise such as a brisk walk, a swim or session in the gym will boost energy, clear the mind, and help reduce feelings of anxiety. Exercise releases endorphins (the good mood feeling) and will help you see the positives of life. A walk outside will get air into your lungs with a short thirty minute stroll being enough to reap many benefits.

Seeing and breathing in the senses of nature has been proven to enhance relaxation. Team sports are also brilliant as they improve relationships with your friends, allowing you to feel good about yourself. Sport will bring discipline to your studies as well as enhancing your personal confidence. From coaching Gaelic Football and Soccer teams over the years, I am of the opinion that students who involve themselves in sport tend to perform better in exams.

In general, exercise has actually been proven to have benefits as exams draw closer. The results of a University College Cork study (published in the US Journal of School Health in January 2013) headed by Dr John Bradley, back up this claim. In the survey of over four hundred boys who graduated from Secondary school between 2008 and 2011, those who participated in some kind of sport during the last two years of school “conferred an extra 25.4 CAO points benefit to their final Leaving Certificate score”. This increase is similar to what a student would receive from the current Maths bonus point’s structure. Need I say more? In other studies, it was also found that exercise helps one sleep better as the body is more physically tired (in a good way) and needs rest. In essence, when you exercise, endorphins induce a requirement for rest and feelings of sleep.

 Do your best to retain control

It is natural to feel some nerves prior to the commencement of exams, however getting excessively nervous is counterproductive, as it will hinder your ability to think clearly. Make sure to have a plan in place on the off chance that your mind goes blank. Breathing deeply will help should this scenario occur. Students always know more than they think they do. I constantly see them underestimating themselves and their abilities. Believe in yourself and all the preparation and revision you have done, both at home and in school.

Remember, the best thing you can do is to try and stay calm and retain control of your emotions, as this will make it easier to recall information. Before the exams, write down all fears and worries that you are currently experiencing in your journal. This will give you more of an awareness of what you are anxious about and why these feelings are actually occurring. Writing things down also serves to ease the burden of carrying everything around in your head. Wishing you luck as always. Joe.

To view last weeks article on ‘How to Revise more Effectively’, 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 Tuition: acesolutionbooks.com/ace-maths-tuition

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

*****

*****

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


Surprisingly, thousands of top Maths students over the years have struggled when it comes to performing to their ability in Maths exams. In my experience, there is now a disconnect between how teachers teach a Maths class and the skills students use during a Maths test.

For some students, a fear almost overcomes them with the thought of a Maths test upcoming.  Similarly, a fair percentage of students that breeze through other subject exams freeze during Maths ones. A significant aspect of Teaching Maths now is helping students overcome their anxieties, while teaching them the key techniques to retain their calmness and confidence.

Sitting a Maths exam is a skill, but it is something that if you practice and apply a defined strategy to, you can get quite good at it. Every day, I work closely with students to teach them these vital skills to excel in all kinds of Maths assessments.  Below are my insights into how to ACE any Maths exam – from the five minute class test to the full on final state examination.

Make Changes to How You Revise and Prepare for Maths Exams

Below are some clipits of advice to help you get set for a Maths exam. Applying these practical guidelines in your revision plan and during exams will 100% improve your grades.

  1. Apply the skills you have learned from practicing past exam questions under time pressure at home. A time budget plan is a key part to success in any Maths exam.
  2. Keep a hardback of Maths notes. Being familiar with words that appear on Maths papers are vital to aid understanding of the questions you are being quizzed on.
  3. Find multiple-choice questions online or ask your teacher if they have some. These are like ‘speed-studying’ and require less time to work through and test yourself on.
  4. Attempt past exam questions. After completing each past exam question, be sure to view its exact and fully developed solution to see how your work stacks up against it.
  5. Stay alert for key words and phrases to guide you through a question. For example, the volume of an object should allow you to find measurements on it by working backwards.
  6. Use familiar mathematics to guide you. Think back to relate the test question to a concept, topic, or technique your teacher did with you in class.
  7. Formulas are key in Maths. Reflect on what formula you know that may help you solve the problem. This formula may in fact be printed on the test paper or in your log tables.
  8. Can the diagram in the question help? Writing relevant information on a given diagram may prompt relevant thoughts and connections to help you start a Maths question.
  9. Show all workings. Always show how to get from one step to the next. Provide all your workings out to support your answer. At the end of each question, always ask yourself ‘Is this a realistic answer or solution to the question being asked?’ Example: Ten metres would never be an acceptable answer for the height of a pencil. You get the Idea.
  10. Read the entire question… twice. Check what the question is asking and in what form you need to present the answer. For example, you might need to round the final answer (decimal places, significant figures, scientific notation) or convert to an annual amount.
  11. Note the key Information given in the question onto your answer book. Subsequently, note the Information that isn’t present. Link these two to help complete the full jigsaw.
  12. Don’t be afraid to utilise diagrams or tables in your solution. This will clarify your understanding of the information in the question and support your workings out.
  13. Show all relevant substitution (subbing in). This shows the examiner that correct Maths processes are being used (e.g. showing the substitution of an x-value into a function). Joe

To view last weeks article on ‘The ACE Guide to Exam Prep from Home”, click here.

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

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

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

*****

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Photo:@ZhangChaosheng

Joe’s Jotter: Core Skills for Revising Maths Better at Home

In light of the how the last few years have panned out, students (and indeed their Parents) need to examine closely their daily routine to ensure effective learning is now happening. Maths is a subject that tends to take up more time than others and hence 3rd and 6th years should firstly consolidate what they know and then make a list of topics that they need to learn and revise going forward. Spending time on past exam questions and learning the terminology that appears on them is wise use of any student’s time now.

From this point of view, I would recommend that all exam students start a ‘Maths hardback’. Fill this hardback with new words, formulae’s not present in the log tables and keynotes. Divide the hardback into sections, one for each topic on the course. Secondly, when revising at home, students should test themselves against the clock on full or partial past exam questions. Set these as your two main targets for the next few months.

Algebra is the Language of Maths

In Junior and Leaving Cert Maths, you need a good solid Algebra foundation to build on in order to excel in topics like Geometry, Trigonometry, Functions and Graphs and Probability. I estimate that Algebra is linked to at least twenty five percent of Maths exam papers at all levels now. Take time to understand the rules of Algebra especially those linked to expressions, functions, and graphs. With all its linkages, I, one hundred percent        think that Algebra is the most important topic in Maths. The words and phrases that appear in your book and in the past exam papers have become a close second. The State Exams Commission (SEC) now place more emphasis on students knowing and understanding what things mean in Maths, than just traditional numerical calculations.

There is also more ‘English’ than ever on Maths exam papers, and it is crucial that you start familiarising yourself with these words. If you are not familiar with the words and phrases that appear on the paper, you may not even be able to get a question started. This would be an awful shame given the amount of time you have spent learning mathematical concepts on your course. If you have dyslexia, I understand that dealing with words in Maths is doubly difficult. You need to be aware that different words have a different meaning depending on the subject you are studying. For example, the word ‘Evaluate’ in Maths is very different to its meaning in the subject English.

In my book ‘How to ACE the Leaving Certificate’ for all subjects, there is a full chapter advising how you can improve your Maths. In this book, I present and explain one hundred sample key words and phrases to kick start your understanding of the language of Maths. This list is suitable for both Junior and Senior Cycle students, remembering that some of the more difficult words would not appear on a Junior Cycle paper. I would strongly encourage students to add to this list, investigating the exact meaning of words you come across daily. You will learn loads through your own active investigations.

In summary, I recommend that every time you encounter a new Maths word or formula, write down what it means to you in an A5/A6 hardback. This hack can be applied to all subjects and these hardbacks can be carried with you (literally) all the way up to sixth year. Using simple explanations that you understand in your hardbacks will help you recall what the words mean later. Being familiar with the words that appear on a Maths exam paper has now become a key component of success in the subject.

Test yourself at home in Maths

The more ‘exam smart’ you are, the better you will perform on exam day. I have seen the best students do homework to perfection all year, really knowing their stuff, but ultimately not reach their potential In Maths come June. Every year loads of super students misjudge the timing on the paper. It is imperative that you stick exactly to the allocated time for each question. In Leaving Cert Maths, the timing is different this year due to increased choice on the paper. Junior Cycle timing in Maths will be written on the paper.

You should now start timing yourself on past exam questions at home. At Leaving Cert level, part a’s and b’s of Section A are a good place to start. Attempt questions that look familiar first, maybe even consulting your book/notes from time to time. It’s all learning. Once completed, check your workings out against a good exam paper solutions book. If you have struggled to make reasonable inroads into answering, I suggest you re-write the steps of the full solution on a page, really thinking about why each step is important as you write it. Every few weeks, tackle some longer questions and write out the steps (in English) how you would solve it. This better solidifies the method you used in your head.

There are many advantages to creating your own ‘home test environment’. You should constantly test yourself on material revised. During these mini home tests, I would use a stopwatch to ensure you are ‘sticking to the time’ for each individual question part. This is vital across all subjects, but especially in Maths. In creating this little bit of time pressure, you are replicating the exam hall environment. Train as you propose to play is the idea here.

Please do get in touch with me if you have any Maths queries. I would be delighted to guide or help you in some way. Thanks for reading. Joe

To view last week’s feature article on ‘The Many Benefits of Doing Transition Year’, click here.

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

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

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

*****

*****

Photo:@ZhangChaosheng

Joe’s Jotter: The ACE Guide to Exam Prep from Home (Feature 2 of 6)

The Routine of a Daily ‘Lifestyle (Study)’ Timetable at Home

Routine and structure, to me, should be based around what I call a ‘Lifestyle (Study) Timetable’. Through this, you plan exactly what you are going to do during each part of your day. The best starting point to create this is to make a list of sub-topics to be revised for each subject; do this on a A3/A2 sheet of paper so that you can see a full picture of all the content you need to cover (for each subject) between now and the exams. Each sub-topic on this sheet is ticked off as it gets completed week-by-week.

The next step is to rank your subjects (one to seven) in the order that you enjoy/excel at them. The first four subjects being the ones you are good at/enjoy, with subjects numbered five to seven being the ones you are not so fond of/not the best at. Numbers five to seven are the subjects you need to allocate more time to on your daily timetable each week. Each daily timetable should be written down to help you be more accountable to it i.e. More likely to complete it. It will also allow you to monitor progress at the end of each day and you can check back, as required, on exactly what you got finished.

I advise to type up your Lifestyle (Study) Timetable template, so that you can print copies and fill it in each day. If you are a dis-organised person, you should set Identical start, finish, break and mealtimes day after day, thereby establishing a clear routine. Call me boring, but it works! I would be up and running by ten thirty a.m. each morning at the latest. Try and get up at the same time to crystallise your routine. Be super organised from the night before, so that you can start straight into it the next morning, without having to de-clutter or prepare/find materials. Knowing exactly what revision you are going to do from the night before is key to success. You are more likely to complete each task in this case.  If you are feeling super energetic, you also have the option of following your subject timetable from school.

Creating Up Your Weekly ‘Lifestyle (Study)’ Timetable

During the holidays, I recommend you write out a new timetable each evening for the following day. It doesn’t have to be full day’s work. On down days, you may just do an hours revision. This will allow you to keep the eye in. On this timetable, inbuild your breaks, exercise, time out chatting to friends, tv time, family time etc. Below is a partial sample of what a Lifestyle (Study) Timetable might look like (Increase the Zoom level to get a closer look on your device). As you can see, each revision ‘block’ is thirty minutes long and there is a five-minute break at the end of each block. Use short breaks to check your phone or get some air. Exercise of any form far out ways time spent on your phone or console; Fact. I would never have the phone in your study area. Putting it in a different room will allow you to focus on each thirty minute block. Take a thirty-minute break after every two-three hours work, rewarding your efforts.

*A Sample ACE Lifestyle (Study) Timetable [Click on Image to get the PDF Version]


*Based on the Standard School Week.

It isn’t a great Idea to start the day with TV or a blast of your games console; leave that to the evening as reward. Eat a good breakfast every day. This should be made much easier by the fact you won’t have to eat at seven or seven-thirty a.m., as when you are attending school. From listening to my own students, I know that many of you avoid breakfast and this is a bad practice. Breakfast gives you the brain fuel to sustain energy levels until lunch time and improve concentration/memory for all your tasks. Just eat something no matter how small (and I’m not talking about a bowl of coco-pops here either #eatingair).

How Many Hours Revision Should I Do at Home?

In my opinion, Leaving Cert students would need to be doing between five and seven hours revision a day at home. This is broadly in line with what you would do between school and homework during normal class times anyway. Revise subjects and topics early in the day that may not be your favourite. Leaving subjects you enjoy until the evening makes so much sense, as you won’t need as much energy and enthusiasm for them then. Tackle what you don’t enjoy first, and the day’s work will become easier. I would question how beneficial music in your study area is. For the last subject of the evening, it may be useful to get you through it, but may ultimately just end up being a distraction. You will know yourself if the tones from your headphones are helpful or not? Is the information still sticking? Be honest and sensible with yourself here.

Being Realistic Is Important

If you have a timetable/list of tasks set out for a day and things go wrong, just try to finish the day well and start again with a new timetable/list the following day. Try to be kind to yourself, remembering that anything in the past is not something you can do change anymore; you need to move on, start again tomorrow and try your best. Target specific topics in each subject instead of revising very generally. At the end of each day, review how your day went and start winding down at least an hour before bedtime. According to a recent survey, it is recommended that teenagers get between eight and ten hours sleep a night (apparently just over half of you are actually getting this). If you are at home studying, there is no excuse for not getting enough sleep (but not too much either). Good luck with your routine. Joe

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

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

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

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Joe’s Jotter – Should I Continue Studying Higher Level Maths?

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

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

I Can Take on this Challenge

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

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

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

Head Above Water

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

Is there a Template for Staying or Going?

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

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

Factors That Will Guide Level Choice

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

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

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

To view last weeks blog on the ‘Importance of Handwriting Your Own Notes’, click here.

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

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

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

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Joe’s Jotter: How to become more Successful in Maths (2021)

Grasping a subject of difficulty is always a big challenge for even the best students. One of those subjects is too often Mathematics. Maths seems to have developed a ‘bad boy cred’ over the last twenty years, but I feel things are getting better slowly and I know students feel more positive about it since the introduction of Project Maths in 2008. In general, I think students are enjoying the more practical approach in the subject since the changes. The existing course is however still quite long, and you need to box clever in order to pin it down. Many students are still trying to come to terms with the amount of words on Maths exam papers and indeed how they link to the concepts. I totally get this. However, I still believe you can learn to grasp key concepts without being born a Maths genius.

Can Anyone Be Successful at Maths?

People regularly ask me about this hypothesis, and I believe Maths is a subject everyone can do well in by being more open minded and willing to try different methods. For sure, your parents have a role to play here, so make sure and get them involved. Parents can get involved in homework from an early age and should be encouraged to send notes to the teacher if there is a particular area their child is struggling with. Above all, it is imperative that Parents pass on a positive attitude about Maths early in their child’s development. A ‘can do’ attitude gives the student belief that they can face problems in the subject and come through them. Encouragement and positivity are the most constructive way any parent can help boost their child’s ‘Maths conviction’.

Maths is Learning by Doing

To me, Maths is a subject where you need to be continuously ‘learning by doing’ and the importance of attempting exam style questions cannot be underestimated. Reading through questions and text like you do in other subjects will not work in Maths and having access to a structured solution book for exam questions is important. Inevitably with some challenging questions in the subject, you will run into difficulties getting started and this is where having the first line or two of the solution can be extremely helpful; a detailed solutions book is ideal for this. I believe that referring to the first part of a solution and then revisiting the question yourself is a very efficient way of developing key Maths skills. This technique isn’t one much practiced in other subjects.

Skills That will Improve Your Maths

You must adopt different approaches in Maths; it is unique. A genuine attempt to start a question in Maths will allow you to gain momentum and progress to apply the concepts you have learned in class. In my experience, the biggest stumbling block to achievement in Maths is getting the question started; but a single grain of rice can tip the scales. In general, if you are finding it difficult to get started and feel lost in Maths, start by practicing the part (a) questions in your past exam papers and work your way upwards to part (b) and so on. If you are an exam student, go back on your 2nd or 5th year notes to refresh those key basics. The majority of students just fire notes from previous years in a corner. Past notes should be stored carefully for easy access later. It’s amazing how much you will recall about what you wrote down and what advice your teacher gave you back then. Re-do some questions from then to start a Maths revision session. As you always hear me say, Algebra is jewel in the crown at all levels. Maths is about having a go, knowing the tricks, when to use formulae, consistent practice and really believing in your ability and the work you have done.

More Interesting and Informative Maths feature articles will follow as we lead up to the Junior and Leaving Cert 2022.

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

W: acesolutionbooks.com/ace-maths-tuition

FB: facebook.com/JoeMcCormackEducationalExpert/

 

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