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

 

 Parental Support for Students at Home

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

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

ACE’ing Your Prep at Home – Some Final Thoughts

Students,

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

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

Be Honest and Realistic with Yourself

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

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

Strength Based Learning

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

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

Write Down Your Goals

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

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

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

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

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

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

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Photo:@ZhangChaosheng

Joe’s Jotter: Nifty Tricks to Remember Maths Formulas

 

Maths Students,

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

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

 The Six Best Ways to Make Maths Formulas Stick 

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

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

  1. Understand each part of the formula.

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

  1. Put it on your wall.

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

  1. Let formula’s sit before learning them.

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

  1. Take them to bed with you.

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

  1. Most Formulas are in your Log Tables.

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

 

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

 

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

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

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

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Joe’s Jotter: Guiding your Child Through Exams 2022

Your Role as a Parent as Exams Approach

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

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

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

Practical Insights to Really Support Your Exam Student

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

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

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

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

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

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

*****

*****

 

Joe’s Jotter: Why Practicing Past Exam Questions in Maths is Crucial

 

Practicing past exam questions is essential if you’re looking to score highly in either Higher or Ordinary level Maths this June. Similar question types come up regularly; but you still need to revise all the topics on your course, as the Maths exam isn’t predictable anymore. Both sections (A and B) at Leaving Cert higher and ordinary levels are important and the correct amount of time must be left for the longer questions in Section B, as they tend to require more thought.

The new Maths syllabus at both Junior and Leaving Certificate level is quite crowded with a lot of material to get through, not to mention trying to link up topics in true Project Maths style. Incidentally ‘Project Maths’ was the name given to the subject ‘Mathematics’ when it was rebranded in 2008. It has now reverted to ‘Maths’ after this bedding in period.

Why Past Exam Questions are Key!

With so much to cover during class time, it is difficult for teachers to expose their students to any substantial level of past exam questions during term time. The reality is that many teachers will only fully complete the course after Easter, through no fault of their own. It is up to each individual student to dust off their book of past exam papers and start by initially attempting the part (a)’s and (b)’s of as many exam questions as they can. Initially focus on topics you have covered yourself in class in order to build up your competence. My advice is to work on the last six or seven years past papers to get a grasp on what comes up in certain topics. If your exam paper book is filling up, re-print the papers in it. These are free to download on the examinations website. Set your stopwatch and test to see can you really do a question against the clock without your notes.

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

Doctor Maths, the Poet.

To commence, attempt all past exam questions to the best of your ability with guidance from your textbook and class notes. This allows you an access route into questions you are unable to start. Subsequently, refer to a good solutions book to see how accurately you are progressing. With an unprecedented level of detail, my exam paper solutions (ACE Maths Solution Books) at both Junior and Leaving Certificate levels are an ideal companion to revise Maths effectively for this year’s exams. You should start by practicing and familiarising yourself with the language used on past papers. 5th Years also need to start planning ahead. Most Maths teachers will put past exam questions on a 5th Yr Summer Maths Paper.

Your exam paper focus should always be on practicing previous official state exam questions under time pressure. Replicating exam hall pressure is a brilliant way to hone your skills and really check if you can complete the question asked within the time limit allocated. I would start by taking on a short question or two against the clock, and then a longer question, until eventually you feel confident enough to take on a full paper. Constantly doing questions out from your textbook will never fully prepare you for a full sit down test paper in Maths. This is where a lot of students are going wrong.

 

 Using Past Exam Questions to your Advantage

Knowing how to work with past papers and making the most of them is a skill in itself. Some key preparation tips to keep in mind while tackling past papers are:

  • Start with questions you can do in order to build confidence and reduce anxiety as you commence your revision routine.
  • Solve as many past exam questions as possible from every topic on the course. This will help you understand the type of questions that are asked and also how much work you still need to do to reach your target score in the subject.
  • Estimate how an examiner would have graded your work by comparing your solution against a detailed Maths solution book. Using a solutions book to mark your own questions will allow you to see how your percentages are stacking up.
  • Maintain an error-log on mistakes you keep making. This will help you get to know your weak points and what traps you are regularly are falling into.
  • Everyone has deficiencies in Maths. To overcome these, attempt extra questions from topics you are struggling with.
  • When solving past questions, make a habit of always timing yourself with a stopwatch. This will help you improve speed and manage your timing better during the actual exam. Practice makes perfect. Treat your revision work at home as the training sessions before the actual matches in the exam hall.

Doing an exam question trial at home every week will greatly improve your performance in the final exam. After some time, you will cut out silly errors and feel calmer about tackling a full paper. This process will give you the belief that you can get the awkward question started or tackle the unseen graph or diagram on the day.

  Commence a Strict Diet of Past ‘Exam Questions’ Today

If I was in 6th year, i would move quickly now onto the strict but ultimately rewarding ‘Past Exam Question’ diet. Here are some directions to consider as you trawl through good quality past exam questions and their solutions over the next few months:

  • You need to get practicing multiple real life application questions (Section B)
  • You need to get familiar with marking schemes and how marks are allocated
  • You need to practice exam questions under time pressure
  • Constantly strive to get used to the wording, layout, and style of past questions
  • Get accustomed to how the examiners are phrasing exam questions now
  • Be conscious of the fact that there is extra text and less numbers on the papers now
  • You need to be aware that you could now be asked to ‘explain your answer’
  • Be familiar with justifying your answers using Maths calculations
  • Practice different strategies for starting unseen or unexpected questions
  • Be familiar with the exact meaning of each word that appears on past papers. Joe.

To view last week’s feature article on ‘How to ACE any Maths Exam’, 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

*****

*****

Joe’s Jotter: How to Improve Homework at Secondary School

 

 

Is Homework Useful?

Students, Time spent at homework each night serves two purposes. Firstly, it is a reminder of what you did that day in school. In my opinion, the first five minutes of homework you do in each subject should be to go back over what the teacher did in class that day. Secondly, it also allows you to test yourself to see if you now understand information about a topic, and maybe how you may need to explore it further. Students should take care over each piece of homework and complete it as best they can. Personally, I really see the value of homework as a key tool in re-enforcing learning that has taken place during each day.

The Best Way to Tackle Homework

 How you approach homework after a long day is the secret to being more efficient with it. Firstly, I would make sure to rest a little when you get home and get a good solid meal into you, especially if you have plenty to do. Clever students ‘eat their frog’ and do the difficult homework or subjects they struggle with first. This allows them to feel better as the evening goes on. As I see it, this make total sense, as your concentration levels, later in the evening, do not need to be as high for subjects you are good at or enjoy as tiredness creeps in.

On a similar note, attempt the type of learning you do not particularly enjoy first. In other words, if you aren’t fond of reading or learning off, do that first as opposed to writing or note taking. Homework and revision are about playing to your strengths and working smarter. It is better to write short key jottings as opposed to spending hours mindlessly reading. Fact!

No Homework Tonight!

 If your daily homework has been completed during ‘free periods’ during the day, it is still important to use those few hours in the evening to revise material from last week or the week before. You need to take these opportunities, if they arise, to catch up. For students in Senior cycle, you cannot really afford to take a full night off. Am I saying you should work from 5 – 11pm every night? No, and you certainly should take a short break every thirty minutes. Even on weeknights, take some exercise or go do that little activity you enjoy that keeps you sane – whatever works for you to get your mind off things.

Homework is the Best Form of Study

 Homework done to a high standard is a brilliant form of study. Reviewing work done in class via mini test questions or checking what’s coming up tomorrow can be included as part of your homework if time allows. Homework teaches you to analyse the information your teacher has given to you. Always take pride in the homework you produce, as it will stand to you in the long term. Time spent doing homework should be counted as part of ‘exam preparation’ time and you shouldn’t feel in anyway guilty when there are nights you do ‘all homework’ and ‘no revision’. Judge each night on its merits and how important each task is.

Super Organisation

Being super organised with homework and your journal are important aspects to kick-start your success. In my opinion, homework is the best form of study, and you need to be disciplined with it. Write homework diligently into your journal each day and complete each piece of homework like you are doing an exam question. Being ‘smart’ with how to tackle homework is a skill, which could take months to refine. Ensure each subject gets a fair amount of ‘homework time’, depending on what you schedule is like for the next day.

Every day, I make a list of tasks on my phone that I need to complete. At the end of the day, I review this list to see how many of them I have actually fully completed. Tasks unfinished are then moved to another day so that each task eventually gets dealt with. At times, tasks are postponed (put off into the future), but ultimately they always get completed unless I deem them unimportant. Apply this technique to your revision, ensuring that everything gets completed eventually in the most efficient manner. Task monitoring, homework discipline and dedication are all attributes of the ‘Super Organised’ H1 student.

Student Survey: The Importance of Homework

 I completed a survey of students previously and asked them to think about the importance of homework to them and how its benefits helped them achieve their goals. Here are some of the more interesting observations they made in their surveys:

“Record your homework carefully in your journal every day.”

“Use class time well if teachers allot it to homework.“

“Set the same time aside every evening for homework.“

“Do your homework after dinner and soon after arriving home.“

“Try to complete your homework before nine p.m.“

“Try to be honest with your teachers in relation to homework.“

“Tick off your homework for each subject as it gets done.“

“When doing your homework, do not lounge on a bed or sofa.“

“Ask your parents or teachers if you cannot understand your homework.“

“Have a quiet study area with a desk, fresh air, and good lighting.“

“As well as written work, browse over what was covered in class that day.“

“Do not let homework affect sleep time, but don’t leave it until the next morning.“

“Plan ahead on assignments if you are expecting a busy week.“

“Get the phone numbers of classmates for queries on homework.“

 

To view last weeks feature article on ‘How to become a Specialist at Maths Exams (Part 2)’, click here. 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

*****

*****

Photo:@ZhangChaosheng

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

*****

*****

Photo:@ZhangChaosheng

Joe’s Jotter: The ACE Guide to Exam Preparation from Home (Part 3 of 6)


Dealing with Motivation Issues – ‘I Don’t Know Where to Start’

Students, if you are struggling for motivation at home right now, put a half day’s timetable in place tonight and give it a go tomorrow. Set each revision block to just thirty minutes and time will fly. As you begin to see progress, your motivation will grow. An alternative approach to developing a timetable would be to create a task list. Each night you could write down a list of ten to twelve challenges you would like to achieve in various subjects the next day. Tick them off then as you get them completed. If you currently feel you are swamped with work and worry, this is now your ‘get out of jail’ card, so try it.

Set Measurable Targets

It is so important to set targets, otherwise timetables and lists are just ‘drive bys’ and ‘hopeful’ preparations that you will never be answerable to. We all need targets to help us achieve things. It is also a fact that we are more likely to reach them if they are written down.

Once you set a measurable target (example: eight pages from a textbook to be summarised into your own words), assess how much progress you have made. On completion, tick it off from your full sub-topic list for the subject. A short term target could be as simple as ‘understanding emotions’ from two English poems or practicing writing letters to an imaginary pen pal in whatever modern foreign language you study. Remember if you don’t know where to start, commence with the basics of a topic. i.e. view the first few chapters of your textbook or the first set of notes your teacher gave you on it. Start small and then when you get up and running and notice progress, you will be encouraged by your own efforts. Just get a routine going somehow, and then rinse and repeat. Information about setting up a full ‘Lifestyle Study Timetable’ is detailed in my textbook ‘How to ACE the Leaving Certificate’ for all subjects.

Write out a List of Motivations in Your Journal

Another tip to improve motivation is to write out a list of medium and long term targets in your Journal and then write ten reasons underneath explaining your motivation to ACE them. On lazy days, open that page and read your ‘motivational list’,  thinking about how you felt when you wrote them. This will inspire you to get started on revision and keep going when days get tough. Revising and preparing may seem like it is solely for your upcoming exam, but you will discover that learning is a lifelong process. Try to enjoy the challenge of getting that timetable completed or ticking off those tasks; you have nothing to lose and all to gain. It doesn’t have to be perfect, just give it your all.

For those of you who continue to struggle to get started on revision, start by writing down the activities you lean towards to dodge study. Put this list on your wall and be fully aware of the times you drift towards them. Being aware of this ‘distraction list’ will remind you of what you really should be putting your mind to at any given moment. Any effort or movement towards starting a short revision block should motivate you to commence a second one i.e. The hardest part of being successful with any task is often just getting it started. Imagine yourself, on your side, rolling down a steep hill. You will gain momentum as you go…and it could even be fun. Give yourself plenty of breaks as a reward for your hard work.

The Many and Best Ways to Learn

The key to any successful Lifestyle (Study) Timetable is keeping your brain fresh by completing different tasks every thirty minutes. Rotate your learning between different subjects but also within subjects. What I mean by this is: Revise in all the different ways possible. You only need a few repeatable methods that work for you, but you won’t know which ones suit until you actually road test them yourself. The below is a sample list of the many ways we learn. I am sure you could add even more creative and interesting ones to this list matching your personality. Pick out four or five of the below approaches and give them a try today.

  1. Write a bulleted list to explain and summarise a short book extract.
  2. Summarise a chapter of your textbook into your own words.
  3. Create flash cards with a list of facts. Limit each card to seven key points.
  4. Record a summary using the voice memo function on your phone. Replay back.
  5. Put keywords and their definition for each subject (per topic) into a hardback.
  6. View a YouTube video of an expert or listen to audio/podcasts on topics.
  7. Teach or discuss what you have learned with a member of your family.
  8. Get your parents/siblings to ask you questions on a topic you have just revised.
  9. Read a summary out loud to yourself.
  10. Rotate your place of study to retain freshness. e.g. the garden or kitchen table.
  11. Create Bubble diagrams with Microsoft PowerPoint to illustrate topic linkages.
  12. Create a visual Mind Map for a sub-topic you are struggling with.
  13. Stick nine postits onto an A4 sheet. Write a summary with keywords onto them.
  14. Use different coloured pens (red and green) to draw attention to key points.
  15. Use different coloured highlighters to mark relevant dates and details of note.
  16. Chat to friends to find out how they are approaching certain subjects/topics.
  17. Stick stickies/sheets on your wall for memory. Rotate this content every five days.
  18. Research topics on the Internet to give yourself extra pieces of information.
  19. Continually test yourself with sample tests, online quizzes & past exam papers.
  20. Use Graphic Organisers to create a more visual set of notes (samples below).
Sample Graphic Organisers*

*Source: Using Graphic Organisers in Teaching and Learning (SLSS)

To read last weeks article on ‘The Core Skills required to Revise Maths Better”, 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: 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: Grade Inflation 2022 – Startling Subject Statistics

With Leaving Certificate grades ‘apparently’ rising recently, I decided to do my own comparison analysis of Leaving Certificate results from the years 2018 and 2021 as per Table 1 below. Over 90% of students sat 245,850 leaving cert papers in 2021. In comparing the written papers that the students sat against the accredited grades given by their schools, the results show that 68% of accredited grades were inaccurate (i.e. they were at least a grade out compared to what the student scored in their June sit down exams). Firstly, this margin of error is way too high to endorse the ‘Accredited Grades’ process.

Upon looking closer at this data, the percentage of students scoring a H4 or above in 2021 (A H4 is between 60% and 70% at higher level) has produced very surprising results. What amazed me from looking at the statistics was how grades in nearly all subjects have jumped in three short years. Across the twelve subjects I sampled, the average increase (H4 grades or above) when comparing LC 2018 to 2021 was an eye watering 14%. This is substantial.

Table 1: The percentage of students that scored a H4 or above in LC 2021 and LC 2018*

Sample Subject
Percentage of Students achieving
a H4 or above (2021 in Red) (2018 Bracketed)
Music 95% (89%)  +6%
Technology 83% (72%) +11%
Engineering 78% (70%) +8%
Irish 84% (70%) +14%
Design and Communication Graphics (DCG) 88% (70%) +18%
Home Economics (S&S) 82% (68%) +14%
Accounting 84% (63%) +21%
Biology 73% (61%) +12%
Chemistry 80% (61%) +19%
Maths 73% (60%) +13%
Politics and Society 74% (59%) +15%
Physics 78% (59%)  +19%

*Source: Data from www.examinations.ie

From this data, my feeling is that you cannot compare Leaving Cert students who completed exams before 2018 to the 2020 or 2021 cohort; and of course we are doing so. This throws up a lot of questions about where our education system is going. It seems serious inconsistency has set in, with a new benchmark set for future student results.

Is it now a ‘medal for everyone’ mentality, with this seemingly watershed moment in 2020? How can we even compare Leaving Certificate results before and during/after the pandemic? To me this ‘Grade Inflation’ whiffs of optics and how Ireland’s PISA scores ‘need’ to compare globally. I feel that the department has taken the opportunity to ramp our scores right up under the darkness of pandemic cover. From the data and in my view, ‘Accredited grades’ hasn’t worked and isn’t a future option. That’s not to say that I wouldn’t welcome a Leaving Certificate review now, with a view to more continuous assessment.

Adding Increased marking scheme flexibility to this emerging data, the bell curve has all but been eliminated, while shockingly some students who got the maximum 625 points in 2021 didn’t even get their first choice in college. If the model of the last two years remains in place for our 2022 6th years, many of these students will be heading to third level without having the experience of completing a State Exam. This will put them at an immediate disadvantage heading into first year. Students are scoring higher than ever now, but are they more knowledgeable than their predecessors? I doubt it. Radical percentage increases over such a short period of time like this doesn’t sit well with me at all. It may well stabilise itself in future years, but worryingly a new bar and paradigm has been set, and like everything that changes, the genie is out of the bottle now.

See below for details about Joe as a Maths Tutor and his ACE Maths Solution Books 2022.

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

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

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Joe’s Jotter: Practical Tips to Organise Yourself for any Exam

Most students realise at this stage of the year that it is time to settle down into a proper homework and revision routine. If you’re unsure about how to get the best out of yourself, here are some simple but practical recommendations to get you on track. This guidance applies to all Secondary School students, no matter what exam you are preparing for.

  1. Structure your Day.

If tomorrow is a non-school day, it is important to have a plan written down from the night before as to what tomorrow will look like. Having a somewhat set routine will keep you grounded and help you be organised. Waking and going to bed on a routine, eating a proper breakfast, showering, dressing yourself, knowing what topics you will tackle and indeed knowing when break times are –  will all greatly help.

  1. Be Aware of You.

Be aware of how you are feeling and ensure you get plenty of rest and healthy food. Make sure and keep in touch with friends and family to keep you sane and maintain motivation levels.

  1. Short Revision Bursts.

Oscar winning actors wing it. But that’s not you. Research has shown that you need to keep revisiting Information regularly for it to stick in your head. Limit revision bursts on a topic to thirty minutes. This is where short summaries are key. Using postits, summaries, flashcards and mind maps are all tools you should have in your revision toolbox. There are so many different ways to revise, so be sure to utilise them as much as you can. Reading from a book is a very small part of preparing for any exam in 2022.

  1. Write Down your Goals.

At the start of each week, write down how much/what you would like to revise and complete. Ensure you know what sub-topics need covering for each subject by consulting each subject teacher. Set realistic goals that you can achieve in seven days. If you find you are having success and a certain approach is working for you: keep repeating that process. Use common sense by playing to your strengths.

  1. Start Today.

By the law of averages, you may not be super motivated about exams right now. Motivation will increase as you see subtopics being ticked off and completed in front of you. Just get started and then keep going as best you can.

  1. Sleep is always Important.

Sleep refreshes brain cells allowing you to wake up refreshed and begin storing more Information in both your short and long term memory. If you are feeling too tired at your study desk, stop. Time spent in ‘Zzz’ land will actually be more productive at that stage.

  1. Compare Yourself against Yourself.

Always try to compare yourself against yourself, not others. How can I improve my last test result? How can I be more efficient with my revision this week compared to last? etc

  1. Limit Time on your Phone.

Limit social media and phone time over the next few weeks. The only way to do this is to leave the phone out of the bedroom and check in on it during breaks. Any time I take a snap survey in my classroom, 90% of students admit that their phone is a distraction. Students have already acknowledged this as a big problem, but still ignore it.

  1. Take it One Small Step at a Time

Remember that a big mountain hike starts with the first small step. Get on the first rung of the ladder by planning out the topics and subjects you will revise tomorrow, remembering that you can only reach your goal of success by taking it step by step, hour by hour and day by day.

  1. Think About Being Finished

Picture yourself walking out of the exam (you are preparing for) and meeting up with your friends. Picture the weight that will be lifted off your shoulders when it is all over. Use these thoughts to provide you with extra motivation and focus for each task.

 

Did you find this article Interesting? My two hundred page Study Guide Book entitled ‘How to ACE the Leaving Certificate’ for all subjects is packed with an abundance of guidance for any kind of exam preparation from Second Year upwards. Click here for more details. 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: 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: Unlocking Holiday Motivation

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

  1. Reward yourself

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

  1. Stay connected

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

  1. Use your family

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

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

  1. Stick to your plan

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

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

  1. Try and maintain some routine

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

Tune in to next week’s blog where I will give you full details on Part two of ‘How to Revise More Effectively from Home’. 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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