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 Kevin McMenamin 2011 (Access Education). Top four subjects in 2011 Student enrolments English: 43 091 Further Mathematics: 30 732 Psychology: 16 512.

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Presentation on theme: " Kevin McMenamin 2011 (Access Education). Top four subjects in 2011 Student enrolments English: 43 091 Further Mathematics: 30 732 Psychology: 16 512."— Presentation transcript:

1  Kevin McMenamin 2011 (Access Education)

2 Top four subjects in 2011 Student enrolments English: 43 091 Further Mathematics: 30 732 Psychology: 16 512 Mathematical Methods (CAS): 16 004  Kevin McMenamin 2012 (Access Education)

3 “Statistics from 2011” “Statistics from 2011” Distribution of Modules MODULE2010%2011% 1 – Number patterns 3332 2 – Geometry and trigonometry 7875 3 – Graphs and relations 4544 4 – Business-related mathematics 4237 5 – Networks and decision mathematics 4443 6 – Matrices 5963  Kevin McMenamin 2012 (Access Education)

4 “Learning takes effort and time” “Learning takes effort and time” Learn during class. Don’t be a passive learner and just take notes. Learn during class. Don’t be a passive learner and just take notes. Pay attention, become proactive, get involved and learn. A straw poll A straw pollA straw pollA straw poll Sensory and Short Term memory Unless we actively take steps to remember, the mind is capable of retaining information for only relatively short periods of time. Unless we actively take steps to remember, the mind is capable of retaining information for only relatively short periods of time. The rule of 7s The rule of 7s  Kevin McMenamin 2012 (Access Education)

5 After hearing very important information, the average person is able to recall: No ReviewRegular review after one day54 %95% after one week35 %83% after one month19 %70% The need to practice, relearn and review is imperative to good lerning  Kevin McMenamin 2012 (Access Education)

6 Sensory to Short to Long To move information you need to listen well which requires focus and attention  Kevin McMenamin 2012 (Access Education)

7 Assumed knowledge… Examination 1 Total of 40 marks Answer all core questions (13) and questions from your three modules (3 × 9) Use reading time to choose your modules and read each question One mark equals 2.25 minutes Examination 2 Total of 60 marks Answer all core questions and all questions from your three modules Use reading time to choose your modules and read each question One mark equals 1.5 minutes  Kevin McMenamin 2012 (Access Education)

8 ASSESSMENT Assessment of levels of achievement Assessment of levels of achievement School-assessed coursework and two end-of-year examinations will be used to determine your overall level of achievement for Units 3 and 4. School-assessed coursework and two end-of-year examinations will be used to determine your overall level of achievement for Units 3 and 4. Contribution to final assessment Contribution to final assessment Unit 3 school-assessed coursework: 20 % Unit 4 school-assessed coursework: 14 % Unit 3&4 examination 1 (Multiple Choice Questions): 33 % Unit 3&4 examination 2 (Extended Response Questions): 33 %  Kevin McMenamin 2012 (Access Education)

9 “Concentration” “Concentration” “Multi-tasking” is best done when mathematics is not involved. Make the time you spend studying mathematics actually be time on mathematics. ‘A rule of thumb’ In most good learning environments you are expected to work two hours outside of class for every one class hour.  Kevin McMenamin 2012 (Access Education)

10 Standard responses/interpretation (100× r 2 )% of the variation in the y- variable is explained by the variation in the x- variable. (100–100× r 2 )% is due to other factors On average, for every unit increase in the x- variable, the y- variable will increase/decrease by gradient value. Always replace coloured words/symbols  Kevin McMenamin 2012 (Access Education)

11 Statistics from 2011… Grade UGEE+DD+CC+BB+AA+ Range 0-1011-2021-2829-3536-4344-5253-6465-7677-8889-100101-120 Grade UGEE+DD+CC+BB+AA+ Range 0-78-1819-2425-3031-3637-4243-5152-5960-6667-7273-80 Examination 1 Examination 2  Kevin McMenamin 2012 (Access Education)

12 School assessed coursework School assessed coursework There are four school assessed coursework tasks spread across Unit 3 and Unit 4. Assessment TaskPart ofPeriodWeighting Application Task Consists of multiple choice, short answer and extended response questions Unit 34-8 hours13.33% Analysis Task 1 Consists of multiple choice, short answer and extended response questions Unit 32-4 hours6.67% Analysis Task 2 A short assignment or problem solving activity Unit 42-4 hours7% Analysis Task 3 A short assignment or problem solving activity Unit 42-4 hours7% Total weighting of school assessed coursework 34%  Kevin McMenamin 2012 (Access Education)

13 A formula sheet is provided in each examination. A formula sheet is provided in each examination. A bound reference is allowed into Examination 1&2. A bound reference is allowed into Examination 1&2. A CAS calculator is allowed into Examination 1&2. A CAS calculator is allowed into Examination 1&2. Assessment TaskPart ofPeriodLevel of Difficulty Weighting Examination 1 Consists of 40 multiple choice questions. [Core: 13; Modules: 9] November Exams 1.5 hours Medium33% Examination 2 Consists of three to five extended response questions in each of the core and three modules. November Exams 1.5 hoursHard33% Note: Past papers and examiners reports are available on the VCAA website. (www.vcaa.vic.edu.au)  Kevin McMenamin 2012 (Access Education)

14 “Think about it!” If something does not make sense right away, take the time to think about it. If something does not make sense right away, take the time to think about it. Re-read the question; break it into 2-3 words at a time. Re-read the question; break it into 2-3 words at a time. Draw a picture to visualise the problem. Draw a picture to visualise the problem. Use your glossary to find the definition of words. Use your glossary to find the definition of words. An Example An Example  Kevin McMenamin 2012 (Access Education)

15 The shape of the distribution is best described as A. symmetric. B. negatively skewed. C. negatively skewed with outliers. D. positively skewed. E. positively skewed with outliers.  Kevin McMenamin 2012 (Access Education)

16 Study scores You will receive a raw study score out of 50 You will receive a raw study score out of 50 Around 8% of students receive a score above 40 Around 8% of students receive a score above 40 Around 2% of students receive a score above 45 Around 2% of students receive a score above 45 Scaling VTAC will apply scaling to all subjects to ensure they are of a comparable level. VTAC will apply scaling to all subjects to ensure they are of a comparable level. Last year the scaling for Further Mathematics was: Last year the scaling for Further Mathematics was: Raw20253035404550 Scaled 2009 18232833384450  Kevin McMenamin 2012 (Access Education)

17 “The 4 Rs” Review Repeat Retain Recall  Kevin McMenamin 2012 (Access Education)

18 To be successful you need to: Have very good visual and reading skills. Have very good visual and reading skills. Many unsuccessful students often miss information or assume the question is asking for a certain type of answer.  Kevin McMenamin 2012 (Access Education)

19 Always set out and show your working in a logical and neat format, consistent with acceptable mathematical practices and never erase anything. Always set out and show your working in a logical and neat format, consistent with acceptable mathematical practices and never erase anything. Unsuccessful students leave out important steps in working and have poor skills of presentation and setting out. To be successful you need to:  Kevin McMenamin 2012 (Access Education)

20 Correct reasoning/presentation  Kevin McMenamin 2011 (Access Education)

21 The coefficient of determination for this data set is 0.8081. i. Interpret the coefficient of determination in terms of the variables rainfall and percentage of clear days. ____________________________________________________________________________________________ ii. Determine the value of Pearson’s product moment correlation coefficient. Write your answer correct to three decimal places. ______________________________________________ 1 + 2 = 3 marks  Kevin McMenamin 2012 (Access Education)

22 Students must ensure that they: read questions carefully can round answers to a given accuracy (eg. round to the nearest cent, not to the nearest 5 cents) bring a ruler or straight edge into the examination answer questions for three modules answer the question that is being asked provide adequate working or reasoning for questions recognise when an answer is inappropriate.  Kevin McMenamin 2012 (Access Education)

23 To be successful you need to: Clearly understand when it is good practice to use a CAS calculator and know what it says. Clearly understand when it is good practice to use a CAS calculator and know what it says. An Example An Example  Kevin McMenamin 2012 (Access Education)

24 A sample of 14 people were asked to indicate the time (in hours) they had spent watching television on the previous night. The results are displayed in the dot plot below. Correct to one decimal place, the mean and standard deviation of these times are respectively A. x = 2.0 s = 1.5 B. x = 2.1 s = 1.5 C. x = 2.1 s = 1.6 D. x = 2.6 s = 1.2 E. x = 2.6 s = 1.3  Kevin McMenamin 2012 (Access Education)

25 Bound reference Must be simple, uncluttered and small Must be simple, uncluttered and small Include…. Definitions (variables…) Definitions (variables…) Diagrams (bell shaped curve..) Diagrams (bell shaped curve..) Annotated examples … Annotated examples … Calculator instructions … Calculator instructions … Rules/formula … Rules/formula … Glossary…. Glossary…. An Example An Example  Kevin McMenamin 2012 (Access Education)

26 Glossary Skewed – not symmetrical Skewed – not symmetrical Dependent variable – vertical axis values Dependent variable – vertical axis values Correlation coefficient – r Correlation coefficient – r Pearson’s coefficient of determination – r 2 Pearson’s coefficient of determination – r 2 Median – middle value of an ordered set of data Median – middle value of an ordered set of data Transformation – changing the plot shape Transformation – changing the plot shape Deseasonalised … Deseasonalised … … …  Kevin McMenamin 2012 (Access Education)

27 Cookie trails  Kevin McMenamin 2012 (Access Education) 1-variable or univariate analysis menu>Statistics>Stat Calculations>One Variable Statistics. least squares linear regression calculation menu>Statistics>Stat Calculations>Linear Regression a+bx.

28 Know the formula sheet and the contents of your bound reference notes. Know the formula sheet and the contents of your bound reference notes. Read regularly and with understanding. Read regularly and with understanding. Regularly practise techniques, standard methods, routines and notation. Regularly practise techniques, standard methods, routines and notation. To be moderately successful and at the very least you must:  Kevin McMenamin 2012 (Access Education)

29 Textbooks (other than the one you are using) Jacaranda, Macmillan, Heinemann, Cambridge.. Jacaranda, Macmillan, Heinemann, Cambridge.. Revision Lectures: Around September/October Around September/OctoberTutors Experienced teachers Experienced teachers University students University students Resources  Kevin McMenamin 2012 (Access Education)

30 If you would like a copy of this presentation please contact Access Education: Website: www.accesseducation.com.au www.accesseducation.com.au www.accesseducation.com.au Email : vce@accesseducation.com.au vce@accesseducation.com.au  Kevin McMenamin 2012 (Access Education)

31 Count the letter F Finished files are the result of years of scientific study combined with the experience of years...  Kevin McMenamin 2012 (Access Education)

32 1. Pearson’s product moment correlation coefficient 1. Pearson’s product moment correlation coefficient 2. Proportion 2. Proportion 3. Extrapolation 3. Extrapolation 4. Standardized score 4. Standardized score 5. Reciprocal transformation 5. Reciprocal transformation How many definitions do you know?  Kevin McMenamin 2012 (Access Education)

33 Calculator calculations Ti 84/89ClassPadTinspire  Kevin McMenamin 2012 (Access Education)

34 Bound reference examples Box plot Bell shaped curve  Kevin McMenamin 2012 (Access Education)


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