Top four subjects in 2011 Student enrolments

Kevin McMenamin 2011 (Access Education)

English Further Maths Psychology Maths Methods

0

5000

10000

15000

20000

25000

30000

35000

40000

45000

50000

Top four subjects in 2011Student enrolments

English: 43 091

Further Mathematics: 30

732

Psychology: 16 512

Mathematical Methods

(CAS): 16 004 Kevin McMenamin 2012 (Access Education)

“Statistics from 2011”Distribution of Modules

MODULE 2010%

2011%

1 – Number patterns 33 322 – Geometry and trigonometry

78 75

3 – Graphs and relations 45 444 – Business-related mathematics

42 37

5 – Networks and decision mathematics

44 43

6 – Matrices 59 63 Kevin McMenamin 2012 (Access Education)

“Learning takes effort and time”

Learn during class. Don’t be a passive learner and just take notes.Pay attention, become proactive, get involved and learn.

A straw pollSensory 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.

The rule of 7s Kevin McMenamin 2012 (Access Education)

After hearing very important information, the average person is able to recall:

No Review

Regular review

after one

day 54 % 95%

after one

week 35 % 83%

after one

month19 % 70%

The need to practice, relearn and review is imperative to good lerning


Sensory to Short to Long

To move information you need to listen well which requires focus and attention


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


ASSESSMENT 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.

Contribution to final assessmentUnit 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 %


“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.


Standard responses/interpretation

• (100× r2 )% of the variation in the y-variable is explained by the variation in the x-variable.

(100–100× r2 )% 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


Statistics from 2011…

Grade

UG E E+ D D+ C C+ B B+ A A+

Range

0-10

11-20

21-28

29-35

36-43

44-52

53-64

65-76

77-88

89-100

101-120

Grade

UG E E+ D D+ C C+ B B+ A A+

Range

0-7 8-18 19-24

25-30

31-36

37-42

43-51

52-59

60-66

67-72 73-80

Examination 1

Examination 2


School assessed courseworkThere are four school assessed coursework tasks spread across Unit 3 and Unit 4.

Assessment Task Part of Period Weighting

Application Task Consists of multiple choice, short answer and extended response questions

Unit 3 4-8 hours 13.33%

Analysis Task 1Consists of multiple choice, short answer and extended response questions

Unit 3 2-4 hours 6.67%

Analysis Task 2A short assignment or problem solving activity

Unit 4 2-4 hours 7%

Analysis Task 3 A short assignment or problem solving activity

Unit 4 2-4 hours 7%

Total weighting of school assessed coursework 34%


A formula sheet is provided in each examination.

A bound reference is allowed into Examination 1&2.

A CAS calculator is allowed into Examination 1&2.

Assessment Task Part of Period Level of Difficulty

Weighting

Examination 1Consists of 40 multiple choice questions.[Core: 13; Modules: 9]

November Exams

1.5 hours Medium 33%

Examination 2Consists of three to five extended response questions in each of the core and three modules.

November Exams

1.5 hours Hard 33%

Note: Past papers and examiners reports are available on the VCAA website. (www.vcaa.vic.edu.au) Kevin McMenamin 2012 (Access Education)

“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.

Draw a picture to visualise the problem.

Use your glossary to find the definition of

words. An Example Kevin McMenamin 2012 (Access Education)

The shape of the distribution is best described asA. symmetric.B. negatively skewed.C. negatively skewed with outliers.D. positively skewed.E. positively skewed with outliers.


Study scores You will receive a raw study score

out of 50 Around 8% of students receive a

score above 40 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.

Last year the scaling for Further Mathematics was:

Raw 20 25 30 35 40 45 50Scaled 2009

18 23 28 33 38 44 50


“The 4 Rs”

• Review

• Repeat

• Retain

• Recall


To be successful you need to:

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.

An equation of the least squares regression line for this data set is ‘’a. Draw this line on the scatterplot.

1 markb. Use the equation of the least squares regression line to predict the rainfall for a month with 35% of clear days. Write your answer in mm correct to one decimal place._______________________________________________

1 mark


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:


Correct reasoning/presentation


IQR= 1.1 and Q1 = 29.9 Lower limit: Q1 1.5 × IQR

= 29.9 1.65 = 28.25

Since 26.0 < 28.25, the age of 26.0 is an outlier

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


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.


To be successful you need to: Clearly understand when it is good

practice to use a CAS calculator and know what it says.

An Example Kevin McMenamin 2012 (Access Education)

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 respectivelyA. x = 2.0 s = 1.5B. x = 2.1 s = 1.5C. x = 2.1 s = 1.6D. x = 2.6 s = 1.2E. x = 2.6 s = 1.3


Bound reference Must be simple, uncluttered and

small

f (x) = e2x – 2m ex + 3

f (x) = e2x – 2m ex + 3

Include…. Definitions (variables…) Diagrams (bell shaped curve..) Annotated examples … Calculator instructions … Rules/formula … Glossary….

An Example Kevin McMenamin 2012 (Access Education)

Glossary

• Skewed – not symmetrical• Dependent variable – vertical axis values

• Correlation coefficient – r• Pearson’s coefficient of determination – r2

• Median – middle value of an ordered set of data

• Transformation – changing the plot shape

• Deseasonalised …• …


Cookie trails


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.

Know the formula sheet and the contents of your bound reference notes.

Read regularly and with understanding.

Regularly practise techniques, standard methods, routines and notation.

To be moderately successful and at the very

least you must:


Textbooks (other than the one you are using)

Jacaranda, Macmillan, Heinemann, Cambridge..

Revision Lectures: Around September/OctoberTutors Experienced teachers University students

Resources


If you would like a copy of this presentation please contact

Access Education:

Website: www.accesseducation.com.au

Email: [email protected]


http://www.accesseducation.com.au/

Top four subjects in 2011 Student enrolments

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