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

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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 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 how to restart their revision routine. Don’t miss it. To view my recent feature article on ‘Finding Savings Heading Back to School’, 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 2023 for 5th & 6th Year (Leaving Certificate Students) and his Award Winning ACE Maths Solution Books can be found via the below:

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

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

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Joe’s Jotter: Shorthand Best Practice for LC Maths 2023 P1

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General Guidance for Leaving Cert Higher & Ordinary Maths Paper 1

  • Leaving Cert Paper 1 in Maths is on Friday 9th 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 (higher) appeared. Financial Maths (higher) 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 – 2023 only] – Paper 1 and 2

  • In 2023, we have Section A: we have 6 short questions of 30 marks (Do 5). In Section B: These are the more practical real life scenario questions. There will be 4 long questions in Section B (Do 3) (50 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 2023: (Apply the 13:25 rule for LC Exams 2023)
    • 10 mins to read paper and carefully choose questions at the start
    • Short Question (Complete 5) (30 marks) – Max of 13 minutes each
    • Long Questions (Complete 3) (50 marks) – Max of 25 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

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 Classes: acesolutionbooks.com/ace-maths-tuition

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

 

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Joe’s Jotter: What Maths You Should Know for Higher Level Paper 2 2023

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Paper 2 at Leaving Cert Higher Level Maths 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 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 prob 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
    • 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 do 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.

More details about Joe as a Maths Tutor for Leaving Certificate (2023) 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: What Maths You Should know for Higher Level Paper 1 2023

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Paper 1 usually contains Algebra, Complex numbers, Functions and graphs, Indices and Logs, Financial Maths, Numbers, Proof by induction.

What do you need to learn off for Paper 1?

  • Prove that Root 2 is irrational
  • Construct Root 2 and Root 3
  • Derive the amortisation formula
  • Derive De-Moivres theorem
  • Derive Sum to Infinity of a Geometric Series
  • Use differentiation from first principles method on a:
  1. Linear Function
  2. Quadratic Function
  • Learn Proof by Induction methods for:
    1. Divisibility
    2. Series
    3. Inequality

See your textbook for full details all of these

Algebra

  • This is the most important topic on the course, and it is very hard to score well unless you know it. It is a massive part of Paper 1 and Paper 2, but more so Paper 1
  • Know solving, simplifying terms, multiplying terms, dividing terms, quadratic equations, inequalities, simultaneous equations, modulus equations etc…

Logs

  • Logs seem to be appearing more lately -> Know how to use the basic rules of logs from page 21 of your log tables (LT) – These are well worth practicing finding out when to use which rule.. do some basic examples from your book to get started here.
  • Logs appear when you get an unknown as a power (5 to the power of p and we are trying to solve for p) e.g. 5p

Complex Numbers

  • Multiplying and dividing complex numbers is really important
  • Convert a complex number into polar form
  • De-Moivres theory is always worth learning

Proof by Induction

  • You need to practice this technique and just know what the three basic steps are here
    • Prove true for n=1, Assume true for n=k and prove is true for n=k+1

Sequences and Series (Patterns)

  • This could be a number pattern or a picture pattern
  • You will need to be able to predict future patterns and come up with a formula to describe the pattern presented
  • Big Emphasis on the formula’s here for the Arithmetic sequence and the Geometric Sequence – Page 22 of the Log tables
  • The Sum to infinity of a geometric series is a popular question
  • The best way to prepare for this question is to practice past exam questions..

Calculus (Differentiation and Integration)

Differentiation

  • Diff (80%) Integ (20%) That 20% integration comes up every year so it’s worth knowing
  • Differentiation appears on Section A, but can also appear with functions on Section B
  • ‘Max’/’Min’ or similar words used – Differentiate the function…let equal to zero and solve
  • Practice Product, Quotient, and chain rules here from log tables
  • Again you could be asked to differentiate a trig function (sin, cos, or tan). Page 26 of the Log tables will help you here. Indices links in here.
  • Rates of change…Rate is always something over dt as it’s how an object changes over time e.g. of this might be how an area change over time da/dt…
    • Again practice past questions here…
  • ‘Slope of a line or a tangent’ also means differentiation. This can appear on either paper…
  • Can appear on Paper 2

Integration

  • Integration is the opposite of Differentiation

Know..

  1. How to use the rules of Integration (Log Tables Page 26)
  2. Find the area underneath a curve. (The Trapezoidal rule from the Ordinary level course could appear here with this)
  3. Find the average value of a function [Learn this formula – Not in LT]

Financial Maths

  • Students get a little hung up on this topic given it is only one section of many in P1..
  • There is way more in the books than is needed in my opinion
  • Know how to deal with Taking out money (Loans) and Depositing money
  • Know how to use your Sn Formula from P22 of log Tables
  • Know how to use your Amortisation Formula from P31 of log tables

Question types include…

  • A person needs to have 100,000 in an account by 2050.. Work back, how much should he deposit in his account each month. These are a bit trickier than the loan questions
  • Use the amortisation formula to calculate equal payments on a loan. i.e. how much I have to pay back each month? These payments are always the same each month. You need to able to derive the proof of this formula also
  • Know how to convert between monthly rate ‘i’ & the Annual rate (APR) & vice versa.

Functions

  • This involves a link between Algebra and graphs.
  • This often appears on Section B and is what I call ‘Equations representing reality’.
  • g. The amount of fish in a lake or the path taken by a basketball in motion
  • e can be popular here..
  • You need to be able to recognise a graph of a function and also answer questions on it
  • Trig functions can appear here even though Trig is mainly a Paper 2 topic

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

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

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

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Joe’s Jotter: Sterling Tricks to Remember Maths Formulas

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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.

More details about Joe’s Maths Tuition Classes 2023 for 5th & 6th Years including upcoming ‘Live’ Online revision blitz’s and his Award Winning ACE Maths Solution Books can be found via the below links:

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

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

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Joe’s Jotter: The Best Strategy for the 2023 Maths Exams (incl Marking & Timing)

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What is the best Strategy for tackling both Maths Exam Papers 2023?

Just for the 2023 LC Maths papers only, I would spend 10-12 minutes reading the paper and tick off the parts of the questions that look familiar making a few notes at the side. Ring or e-mail me if you would like more Information on the best way to choose your questions. You should then know by the amount of ticks and positive notes which questions that you fancy taking on. Start a short question (you like the look of) first to settle the nerves. You don’t have to do Question 1 first!

For each paper, I would have a clear plan in my head on how I would tackle the questions. My reasoning for this is that students tend not to get the long questions done if they are left until the end. Personally I wouldn’t take on any extra questions  – Do five short and three long questions well.

Recommended Paper Plan

  1. Read and select questions really carefully – 10-12 mins
  2. Do your favourite short question – (12.5 mins each for short)
  3. Alternate between long and short questions – (25 mins each for long)
  4. Be sure you have done five short questions and three long questions.
  5. Check, recalculate and tidy – Use any extra time at the end of the exam for this…

Total Time 2023 (Both for Paper 1 and 2)  = 150 mins  (2.5 hours) [Higher & Ordinary Level]

Read each question twice highlighting and underlining the key words and numbers with your red or green pen. Highlight the key words. Think what those words might trigger from a Maths point of view. e.g. The word ‘indefinitely’ in a pattern indicates to use the sum to infinity formula. Be very clear and what you are being asked to find before commencing.

Marking and Timing on the LC Maths Exam Papers 2023

50 markers [LONG Qs] -spend at most 25 minutes per Q [2023 Only].

30 markers [SHORT Qs]-spend at most 12.5 minutes per Q. [2023 Only]. Stick rigidly to time.

I have noticed that the first parts of most questions are carrying 10 marks, so it is really Important to make a big effort to attempt them really well.

I was giving an exam recently and my student submitted her work by email. She explained how she ran out of time on Q1. I was delighted. She had stuck to the time and moved on. Often you need the first part of each question for attempt further parts. You will only know how much marks each full question is worth – you will not know how many marks per part.

I would say it is easy get the first 60% of any question part but more difficult to get the last few percent. Trying to get that last few percent can cost you between five and ten minutes and may not be worth it. This could mean that you don’t get to even see the last question on the paper i.e. there is a knock on effect. Stick to your time budget plan at all levels.

It is better to know a little about loads of topics than an in-depth knowledge of one topic. Algebra is the exception to this and really worth learning in-depth for all levels. Algebra is the language of Maths and effectively appears inside every question. Also…

  • Incorrect answer and no workings out = No Marks
  • Incorrect answer with a step in the right direction = Some Marks
  • SHOW YOUR WORKINGS OUT CLEARLY IN A STEP BY STEP FORMAT
  • Show exactly what you are thinking on the page. i.e. Write it down clearly. If you think you should multiply/divide/subtract/add and aren’t sure, show it on the page anyway.
  • Take risks and go for it. Never be afraid of being wrong!

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

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

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

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Maths Exams

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

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Joe’s Jotter: How to become a Specialist at Maths Exams (Act 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 2023.

Wishing you good luck students J. Joe

‘Winners are not people who never fail, but people who never quit.’

Read ACT 1 on ‘How to become a Specialist in Maths exams’ here.

Checkout a Parent recommendation on my Maths Tuition Classes here.

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

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

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

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Joe’s Jotter: Core Skills for Revising Junior Cycle Maths

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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 two 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 thirty 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. Words and phrases that appear in your book and in the past exam papers are a close second. The State Exams Commission (SEC) now place more emphasis on students knowing and understanding what things mean in Maths. It has moved away from the traditional numerical calculations.

The Importance of English

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 can 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 on 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 create their own list and add to this one, 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. Please familiarise yourself with the timing of Leaving Cert Maths questions for 2023.

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, 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.

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

‘During the next few months, do one thing each day that you really enjoy.’

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

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

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

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Joe’s Jotter: Tips to help a Junior Cycle Student with their Morning Routine

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Having a simplified routine can really help a 1st, 2nd or 3rd Year make a great start to their day. Here are my three short tips for getting your teen off to a good start each morning…

Routine and Habits…

A good morning starts with a great night’s sleep, so before you even think about the AM, try to help them prioritise their sleeping habits. Some general rules of thumb here may include:

Get them into the habit of reducing screen time before bed (the blue light affects melatonin, the hormone which makes one sleepy). Avoiding large meals and caffeine before bed will allow the body to rest, without having to work off that excess food late in the evening. Try to create a calm bedroom environment, ensuring their sleeping space is clutter-free. Encourage a bedtime and lights out routine (at least from Sunday to Thursday night).

Water…

As we know, breakfast sets us up for the day. However, we also need to consider the benefits of rehydrating first thing in the morning. After sleeping for (hopefully) eight hours, drinking a glass of water when they wake up helps restore the fluids the body has lost during the night. It has been a long time since water intake, which makes it sensible to have a good top up asap.

Many scientists believe that staying hydrated has valuable benefits, such as improving the appearance and health of the skin and impacting cognition and mental performance. This is the very thing a tired teenager needs to have right for the long day ahead.

Breakfast…

It doesn’t make sense for a teenager to skip breakfast, even though many of them do. Given they may not have eaten anything in 8-10 hours, refuelling the body is key to a good morning. They will not be able to concentrate on that first 2 or 3 classes before break otherwise. Ensure they have a set ‘get up’ time. Otherwise it will be chaos in the house, rushing around and grabbing stuff. This will allow that 10-15 minutes for breakfast.

Time to chew and enjoy breakfast sets the tone for the day. This will also facilitate time to catch up on some parent-teen chat, listening to what they have on that day.

With the above suggested supports, you are putting the building blocks in place to give your teenager the best shot at the day, and in affect, that’s all you can do as a parent.

Good luck with it.
Joe.
(086) 4076495

Joe’s Jotter: The Many Pluses of doing Transition Year

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“I had heard transition year is a doss, but you do more practical work, like projects. You are a lot more tired than in Junior Cycle because you are doing so much. You don’t realise it until you look back.”

Former Transition Year Student.

Transition year (TY) is a unique one year programme that links Junior and Senior Cycle together. It is now completed by the majority of students who finish secondary school in Ireland, with 75% of schools offering it. Each school is given the flexibility to design their own TY programme within a broad set of parameters. Some schools view it as an additional academic year of senior cycle; but most schools design it to allow students express themselves and develop and explore new talents. Approximately 74% of students do TY.

Will Transition Year benefit me?

The question that all 3rd year students and parents struggle with at this time of year is: ‘Will TY be beneficial to me?’  I feel there are a number of factors determining the success of Transition year for a given student. These include how well the school structures it, the enthusiasm the student has for the programme and how much they buy into it, and the level of variety in the programme, to name but a few.

There is no doubt that if a student does immerse themselves in TY, they can benefit greatly both from a social and developmental point of view. As is evident from the quote above from this former TY, students are engaged in a range of different activities compared to the more academic Junior Cycle. As a teacher, it is easy to spot the 6th year students who have completed TY, as opposed to those who went straight into 5th year. Aside from the obvious fact that students look a year older, they are much more confident in themselves and are a few more steps down the road to maturity than their counterparts. In my experience, this is especially pertinent to boys.

My Top Forty benefits of doing Transition Year

Listed below are my top forty benefits (in no particular order) that a student may gain by opting for TY. Hopefully it will allow you to make an informed decision if you are a parent or a 3rd year in the process of deciding to opt for it or not. 1st and 2nd Years can also have a read of these to get them thinking about their options post Junior Cycle. 

  1. It is an opportunity to mature especially if you are younger than your classmates
  2. You get a taste of working in everyday jobs in Industry and services
  3. You are given more licence to show and develop your individual personality
  4. Your confidence around meeting and dealing with people will improve greatly
  5. You may get to experience a trip to another country
  6. You may get to sample activities you wouldn’t normally e.g. sports, music, or drama
  7. You will be involved in outdoor experiences beneficial to fitness and mental health
  8. The friends you make in TY often turn into lasting relationships
  9. You will be allowed time to reflect and think about possible future careers
  10. You will get an opportunity to research courses and third level options
  11. You will get more of an opportunity to work in a team during activities
  12. You will feel part of a group, which may have not been the case at Junior Cycle
  13. Having an Identity (being a TY) will increase and enhance your personal self-worth
  14. You will learn to think more independently and listen to instructions better
  15. You may discover new talents and skills through engagement in new activities
  16. It should inspire you to take on more responsibility in Senior Cycle
  17. It will give you time to select the subjects that suit you for Senior Cycle
  18. You will get an opportunity to express yourself more with an expanded curriculum
  19. You may get an option to sample new subjects. e.g. Home Ec or Woodwork etc
  20. You may get a chance to visit places of cultural significance e.g. Museums or Gallery’s
  21. You may get opportunities to accomplish certs. e.g. Gaisce, Driving, ICT or First Aid
  22. You will learn research skills and how to approach employers for work experience
  23. You will get a chance to create, enhance and develop the quality of your CV
  24. You may get to experience debating, which will help your public speaking confidence
  25. You may be lucky enough that your school is involved in a TY exchange programme
  26. There won’t be as much academic pressure on you during this year
  27. You will have more time to join school groups e.g. student council, sports council etc
  28. You will be more mature and a year older heading into senior cycle
  29. More experiential learning during the year will mean more hands on and more fun
  30. You may attend workshops or talks e.g. Drugs, Alcohol or Community groups
  31. You may do a career matching or aptitude test to discover potential career paths
  32. Students may be involved in setting up mini companies (great for teamwork)
  33. Teachers will be more open to exploring what you are personally Interested in
  34. Students may get opportunities to enter local enterprise competitions
  35. You will still work on academic subjects and can continue to develop your knowledge
  36. You can investigate what type of learner you are (useful going into Senior Cycle)
  37. You will leave TY with a whole new set of skills and experiences to kick start your CV
  38. At the end of TY, you will be more mature and ready to make better future decisions
  39. TY’s often tell me that it was their most enjoyable and rewarding year in Secondary
  40. The fun, the bonding, the laughs, and the treasured relationships.

If this is the route you are heading in September 2023, good luck with Transition Year. Joe

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

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

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

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Joe’s Jotter: How to Prepare for Exams ‘Home Alone’ (Episode 3).

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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).

‘Progress in revision can be just small steps.’

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

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

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

 

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

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

Upon inspection, the percentage of students scoring a H4 or above in 2022 (A H4 is between 60% and 70% at higher level) has produced very surprising results. What amazed me from looking at the statistics was how grades in many subjects have jumped. In the eleven subjects I sampled, the average increase (H4 grades or above) when comparing LC 2018 to 2022 was almost 10%. As a Maths teacher, it is particularly concerning for me to see a cosmic jump in my own subject. I feel that Leaving Cert higher level Maths is now consequentially devalued, as there is no way students are performing that much better in four short years.

 

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

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

*Source: Data from www.examinations.ie

From this data, my feeling is that you cannot compare Leaving Cert students who completed exams before 2018 to the 2021 or 2022 cohort; and of course we are doing so. This throws up a lot of questions about where our education system is going. It seems a new benchmark has been set for future student results, and we aren’t going back.

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

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

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

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

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Joe’s Jotter: Why Should Secondary School Students Eat Breakfast?

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Students, you have heard your parents and other adults say many times that “breakfast is the most important meal of the day” and that indeed is a hard fact. A decent breakfast will give you the energy to start each morning, help balance your weight and allow you to complete the tasks and challenges you face every day more efficiently. Breakfast is equally as important for children as it is for adults and a healthy one is a vital part of our health and wellbeing. The importance of breakfast as the first meal of the day has been scientifically proven; so in fact your parents are actually correct.

Imagine food is the fuel for your daily activity. During exams and indeed school time, your body will demand good quality clean fuel and regular refuelling in order to nourish itself and maximise your concentration, starting first thing in the morning. I’ve had my own experience in relation to eating breakfast. In my early teaching career, I didn’t eat anything in the morning until my first small break (eleven o’clock). During the early morning, I found myself regularly on edge and low in energy. I noticed that just before this break, my body was actually craving food and my focus had diminished. Basically, what was happening was my blood sugar levels had dropped too low and my concentration was poor during my first two hours teaching each day and I knew it.

Good Morning Habits

As an experienced teacher, I am familiar with students’ poor morning eating habits. Many students don’t feel like food, or their stomach is unsettled early in the morning. Students who eat late at night may be getting messages from their stomach that their body is still living off those energy stores. That’s OK. But students: ‘Please just eat something’, no matter how small, to kick-start your system again. If you think about it logically, your body has not fuelled up for eight to ten hours during the night, so denying it any longer makes no sense at all, especially from a blood sugar and energy point of view.

There are hundreds of good breakfast options that aren’t that time consuming to prepare. These include Smoothies containing fruit, plain yoghurt or chopped fruit with whole grain cereals and milk. A mixture like crushed nuts, a small dollop of organic honey and plain yoghurt can be quickly made and eaten. Homemade granola bars are great for when you’re on the go and better than the sugar-packed store-bought ones. Get your Parents to make you a batch or have a go yourself for the craic.

Personally, I would recommend the following foods for breakfast: Oats, Muesli, Grapefruit, Watermelon, Greek yoghurt, Smoothies, Wholemeal bread, Scrambled eggs, Bananas, Low sugar cereal, Actimel, Low sugar orange juice and Low sugar multivitamin juice. If there are healthy wholesome foods you find hard to consume for breakfast, put other foods on top so that their unpalatable taste is masked. An example of this is to put bananas, fruit, yoghurt, or honey on your porridge (cooked oats). I have found that my performance, energy, and concentration has improved greatly in school during the day now that I have introduced porridge into my diet. I recommend you try it for yourselves.

Your Role as Parents

Parents, if your child skips breakfast before school, they are more likely to be tired throughout the day and will have reduced concentration levels. Preparing and encouraging them to consume a breakfast that is packed full of fibre, carbohydrates, grains, and protein will help boost concentration levels, improve memory, and will stop complaints of hunger as the morning progresses. If breakfast is a busy time of day in your house, then feeding your children what they need quickly might be a daunting experience, but it doesn’t have to be. By stocking up on all the ingredients you need beforehand, you can deliver quick healthy breakfasts that they will enjoy. By preparing breakfast the night before, or getting them to prepare their own, you can cut wasted time in the morning. Avoiding the ‘Coco Pops’ style breakfast cereal is certainly one that’s recommended.

Six Compelling Reasons to Eat Breakfast

  1. The Gap: Breakfast is the first meal you eat after sleeping through the night. You may not feel it, but your body is actually craving food and needs refuelling.
  2. Fighting Sickness: Skipping breakfast weakens your immune system and may increase your chances of becoming ill quicker as a result.
  3. Concentration Levels: A correlation between concentration and our ability to perform tasks has been proven through research. Food is known to enhance concentration.
  4. Serotonin Boost: Eating breakfast boosts levels of serotonin (a mood enhancer chemical that helps you feel better and maintain stability throughout the day).
  5. Increased Variety: Breakfast foods like whole grain cereals, eggs and porridge contain plenty of vitamins, minerals, and fibre, and add great variety to your diet.
  6. Good Start: A scheduled healthy breakfast will help your body run like a well-oiled machine all day. It is the best start to any busy day and heaven knows we need that now in 2023. Joe.

‘Breaks are your reward for hard work.’

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

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

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

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Photo:@ZhangChaosheng

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

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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 2023.

  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.

‘Listen to your body. Rest or sleep if you are tired.’

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

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

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

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Joe’s Jotter: How to Revise Your Less Favourite Subject

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Junior and Leaving Certs,

As you prepare for your upcoming mock exams, teachers and parents totally understand that even though you are making great strides, you still have plenty of fears. From talking to students, I find it’s not the full set of exams that cause concern; it is usually only one or two subjects. Naturally everyone has their own talents and subjects they prefer. Personally, I was better at the Sciences than the languages, but I persevered and got the grades I wanted in the languages I chose. Sometimes subjects you are not looking forward to are the ones that have you on guard and you end up doing better in; A paper on the day can go well in an exam you were dreading. I regularly hear welcome surprise coming from students on results day, with comments such as “I didn’t expect that result in xxxxx”. The moral of the story here is that too much concern about a subject could end in false worry and be draining you of energy; energy you need for studying and getting your head right.

Not Crazy about this Subject

Preparing for one of your less favoured subjects is a blatant case of having to ‘get on with it’ i.e. ‘Eating your Frog’. Of course, it is easier to study and work on subjects you enjoy and are good at, but you must not ignore the others. Studying and preparing your ‘frog subjects’ is probably the biggest challenge you will face during your exam year. Author and reconstructive surgeon, Jack Penn, once said:

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

Prioritise Subjects

In order to deal with a subject you find difficult, you need to prioritise it on your Lifestyle (Study) Timetable. It should therefore be ranked in your top three subjects and entered first onto the timetable with the possibility of including more study blocks for it than other subjects. In subjects you struggle with, you need to: ask for plenty of help from your teacher, work with a study buddy, find ways of learning that best suits you, break topics into manageable chunks, write a good set of notes that you can relate to and understand, think outside the box and ultimately dig in and persevere. These are all the characteristics of successful students when they face obstacles. This is on of my favourite quotes and is relevant here:

“Someone once told me not to bite off more than I could chew; I said I’d rather choke on greatness than nibble on mediocrity”

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Train as you will Play

Practising past papers is a vital part of revision. It allows you to test what you have learned, what you need to revisit and gives you a taste for the pressures of the exam ‘environment’. The weekend is the best time to practice past papers as you have more flexibility then to create ‘exam timing conditions’. You should train as you play; if you get used to timing yourself and keeping an eye on the clock, it will come naturally on the day. This is one of my ACE tips for success. Remember; only test yourself on material you have studied from the course. The earlier you get practising exam questions against the clock in all subjects, the better. 

Use Small (A5/A6) Hardback Notebooks

Use a small hardback for each subject, writing down the keywords/phrases and vocabulary for each topic as you meet them. This will help to improve your knowledge and understanding of a subject. The beauty of a small hardback is its portability. It can be carried around with you, adding variety to your learning. I always give my students one at the start of each year and prompt them to input important information into it every so often. By the end of the year, they have a pocket size set of keynotes that is great for revision. When revising a topic from your textbook, select the key words or phrases which will help you to remember what the topic is about, and then transfer them into your hardback. Your hardback will be a useful resource that you can dip in and out of as the exams approach and it won’t seem as daunting as a big refill pad! Joe.

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

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

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

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

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