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

 

Students,

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

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

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

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

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

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

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

 

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

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

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

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Photo:@ZhangChaosheng

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

 

Change of Mind Oncoming

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

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

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

Complete The Final Check

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

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

How do I Get onto a Third Level Course?

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

Genuine Order of Preference

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

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

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

Changing your Mind

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

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

How to Choose a CAO Course

When selecting your courses, ask yourself questions like:

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

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

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

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

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

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

*****

*****
Photo:@ZhangChaosheng

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

 

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

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

What do you need to learn off for Paper 2?

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

See your textbook for all of these

Geometry

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

Trigonometry

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

[Sin and Cosine Rule is in the Log Tables]

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

Area and Volume

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

Co-ordinate Geometry of the Line and the Circle

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

[ALL THREE OF THESE ARE IN THE LT]

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

Note that the equation can appear in different formats….

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

Probability

100% chance of probability appearing…

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

or

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

Statistics

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

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

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

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

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

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

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

*****

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

 

General Guidance for Leaving Cert Higher Maths Paper 1

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

Sample Marking Scheme Scale for LC Maths

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

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

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

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

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

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

  • This could just be writing down line one

OR

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

OR

Bringing down the last answer and doing something sensible with it

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

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

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

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

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

What do you do if you mind goes blank?

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

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

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

Why are Log Tables so important..?

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

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

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

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

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

*****

*****

Joe’s Jotter: Exams are ‘Feeding Time at the Zoo’

 

Food provides all the essential nutrients that we require for healthy living and to fuel our daily activity. A car can work well, but if it doesn’t have any fuel it can’t go anywhere. Unfortunately for us, no single food provides all the nutrients required, so a mixture and range of different foods must be consumed in our diet. Research has shown that the healthier we eat, the better we feel and the more we can focus on tasks at hand.

When studying for exams, some students tend to stay up late and forget to eat and drink properly or maybe worse, they eat too much of the bad stuff. The following are five short exam nutrition recommendations for the next few weeks and beyond (in depth discussions about added sugar have been omitted here, with it being the obvious heralded evil).

  1. Eat something in the morning

Parents, if your child skips breakfast before school, they are more likely to be tired throughout the day and will have reduced concentration levels. 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.

Alternatively, if your kids aren’t hungry or everyone is in a rush out the door, make sure there are plenty of easy-to-grab pieces of fruit, yoghurt, smoothies, and muesli bars (sugar free) that can be eaten quickly on the go. In an ideal world, everyone should sit down at the same time and share food together, although I do realise that this isn’t always possible. I feel strongly that sugary cereals are a ‘no no’. Some of these cereals can contain up to one-third added sugar. Maybe check the ingredients on cereal boxes before bringing them to the checkout and ultimately the breakfast table. 

  1. Increase ‘brain food’ intake

Proteins from lean meat, fish, eggs, fruit, nuts, and whole grains are foods that help keep the brain mentally alert. Snacking on nuts and dried fruit will help prevent concentration levels dipping. Keep in mind that fruit like bananas, blueberries, and oranges all have natural sugars that will give a lift when feeling tired. Brain food is the fuel that helps us think clearly, make good decisions, and maintain concentration when fatigue sets in during critical periods, that is, during the last half an hour of an exam.

  1. Snack as healthy as you can

Students, when your head is in the books and time is ticking by, you might be tempted to skip a meal to keep up momentum. Your brain needs food and water to keep working. Mental fatigue can cloud your brain, especially if an exam is close by. I would recommend the following healthy snacks to get you through study bumps: Whole wheat toast with peanut butter, fruit smoothies, berries, honey, dried fruit and nuts, hard boiled eggs, low fat chocolate milk or vegetables with a homemade dip. Graze away on the Guilt Free Good Stuff (GFGS) as you revise and move towards exam time.

  1. Minimise caffeine

Caffeine is a stimulant that is present in coffee and many energy drinks. Stay away from Energy drinks as they provide a false high followed by a sugar crash. Sleep can also be affected by caffeine, and I know a good few adults who abstain from caffeine after four p.m. as it disturbs their sleep. I would recommend water, peppermint tea or even a small glass of milk to aid sleep and as a healthy replacement for caffeine. 

  1. Consume ‘good’ fats

Fats are an important component of the diet and have received an enormous amount of bad publicity over the last twenty-five years. As a rough guide, saturated (bad) fats are generally solid at room temperature and tend to be animal fats (such as the fats found in butter or margarine). Unsaturated (good) fats are liquid at room temperature and are usually vegetable fats (such as olive oil, rapeseed oil, oily fish (sardines, tuna, mackerel, or salmon)). Unsaturated fats or good fats are an important nutrient for you to intake as a student. The following are other sources of Unsaturated fats: cheese, dark chocolate, eggs, nuts, coconut and coconut oil, peanut butter, pistachios, and walnuts.

Eating well and drinking plenty of water in the lead up to exams is as important as the quality of the notes you prepare prior to them. ‘You are what you eat’! Good luck. Joe

 

To view my last feature post on ‘Nifty Tricks to Remember Maths Formulas’, click here.

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

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

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

*****

*****

 

Photo:@ZhangChaosheng

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: 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

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

 

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

Top Twelve ACE Tips to Success in Maths

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

The Importance of the Words and the Formulas

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

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

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

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

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

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

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Photo:@ZhangChaosheng

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

Play is as important as study

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

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

Take and enjoy your breaks

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

Liquid discipline

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

Exercise the body as well as the mind

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

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

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

 Do your best to retain control

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

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

To view last weeks article on ‘How to Revise more Effectively’, click here.

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

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

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

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


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

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

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

Make Changes to How You Revise and Prepare for Maths Exams

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

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

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

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

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

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

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Photo:@ZhangChaosheng

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

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

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

Algebra is the Language of Maths

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

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

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

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

Test yourself at home in Maths

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

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

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

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

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

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

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

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

*****

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Photo:@ZhangChaosheng

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: Revising Your Less Favourite Subject

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

Unknown

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.

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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Joe’s Jotter: Former Students Provide Excellent Advice

It is a long time since I sat in an exam hall, so I wanted to have a chapter in my book ‘How to ACE the Leaving Certificate’ where student opinions were aired, and feedback was relevant. When I read this chapter now, I feel it gives a great sense of the reality and pressures of the exams from a student’s perspective.

I have listened carefully and recorded information from students who have been through both the Junior and Leaving Cert exams over many years. I also surveyed sixty existing sixth years for their first-hand experience, asking them to think back to how they were feeling and their approach to the Junior Cycle exams; what they did right, what they could have done better, big mistakes and importantly what they learned. I have synopsised that chapter in this article to ensure the practical guidance and recommendations given below are useful to all Secondary School students, but particularly pertinent to those doing exams in 2022.

Advice from former students to help you maximise your learning in school

  • Start revising now.
  • Everything happens for a reason.
  • Start practising exam questions.
  • Practice short exams at home under exam conditions.
  • Separate notes with labelled dividers to make topics easier to find.
  • As you approach exams, continue to attend class to the end.
  • Failure to plan is planning to fail. Plan each day using your homework journal.
  • Once an exam is done, take a break, move on and never look back.
  • Homework, revision and creating good quality notes are all good forms of study.
  • Breaking a topic into bullet points is a brilliant way to help you remember it.
  • Get into a weekly routine of study, exercise, social life etc, i.e. follow the same routine every Monday; same for Tuesdays etc. Stick to this consistently and you will be able to plan ahead better.
  • Do extra revision in the part of the day you feel more alert depending on whether you’re a night owl or an early bird (This only applies to weekends and holiday periods obviously).
  • Exercise will keep your mind fresh. Walking, gym sessions, cycling, swimming, or Zumba classes are all good. Do something you enjoy, whatever that may be.
  • From the month of January onwards, you need to put a proper Lifestyle (Study) Timetable in place.
  • Prior to the state exams (the last six weeks), do morning trial runs on various foods to ensure they digest well. You will definitely need to eat something substantial for breakfast on the days you are doing exams.
  • Be ruthless with your time. As you practice past exam questions, allocate a time limit for each part of a question (depending on the marks available for that part).
  • Social media commentators and mock papers only speculate about the contents of the final exam papers. Nobody really has a clue what’s on the paper, despite what they may say or have read online.
  • Believe in yourself. You have come so far and have so many talents that cannot be measured by an exam. Your results in any exam will not affect how proud your parents are of you or how important you are to all your friends.
  • You need to figure out how best you learn. Some students learn by writing things out repeatedly, some by talking it out in groups, some by listening to recordings, some by reading, some by Internet research and others by typing out keynotes. A combination of the above learning styles may be your key to success.
  • Try not to approach an exam with a negative frame of mind. If you constantly think ‘I have to do so much study’, it will be like carrying around a bag of coal.
  • If you don’t like a subject, try and take a positive view of it saying, ‘This subject isn’t my favourite’ as opposed to ‘I hate this subject’. Thinking about life more positively can help you solve problems and deal with setbacks better.
  • Spend a few minutes each evening going over what the teacher did with you in class that day.
  • Share work around in a small group. Have information sharing sessions in someone’s house. This reduces the amount of preparation you need to do in each subject, as your friends will already have done the research on it. Sit down with the group and explain things to each other. Write down the key points from the shared session to enhance your own set of notes. If you are not comfortable in a group, get yourself a study buddy (a friend) to work with on the subjects you find difficult.
  • Start revising now (again!).

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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