300 likes | 429 Views
Top four subjects in 2011 Student enrolments. English: 43 091 Further Mathematics: 30 732 Psychology: 16 512 Mathematical Methods (CAS ): 16 004. “Statistics from 2011”. Distribution of Modules. “Learning takes effort and time”.
E N D
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 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 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. The rule of 7s Kevin McMenamin 2012 (Access Education)
After hearing very important information, the average person is able to recall: The need to practice, relearn and review is imperative to good lerning Kevin McMenamin 2012 (Access Education)
Sensory to Short to Long To move information you need to listen well which requires focus and attention Kevin McMenamin 2012 (Access Education)
Assumed knowledge… Kevin McMenamin 2012 (Access Education)
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 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)
“Multi-tasking”is best done when mathematics is not involved. Make the time you spend studying mathematics actually be time on mathematics. “Concentration” ‘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)
Standard responses/interpretation Always replace coloured words/symbols • (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. Kevin McMenamin 2012 (Access Education)
Statistics from 2011… Examination 1 Examination 2 Kevin McMenamin 2012 (Access Education)
School assessed coursework There are four school assessed coursework tasks spread across Unit 3 and Unit 4. Kevin McMenamin 2012 (Access Education)
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. Note: Past papers and examiners reports are available on the VCAA website. (www.vcaa.vic.edu.au) Kevin McMenamin 2012 (Access Education)
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. “Think about it!” An Example Kevin McMenamin 2012 (Access Education)
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)
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: Kevin McMenamin 2012 (Access Education)
“The 4 Rs” • Review • Repeat • Retain • Recall Kevin McMenamin 2012 (Access Education)
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 mark b. 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 Kevin McMenamin 2012 (Access Education)
To be successful you need to: • 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. Kevin McMenamin 2012 (Access Education)
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 Kevin McMenamin 2011 (Access Education)
The coefficient of determination for this data set is 0.8081. i. Interpret the coefficient of determination in terms of the variables rainfalland 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)
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)
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 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)
Bound reference • Must be simple, uncluttered and small 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 … • … Kevin McMenamin 2012 (Access Education)
Cookie trails 1-variable or univariateanalysis menu>Statistics>Stat Calculations>One Variable Statistics. least squares linear regression calculationmenu>Statistics>Stat Calculations>Linear Regression a+bx. Kevin McMenamin 2012 (Access Education)
To be moderately successful and at the very least you must: • 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. Kevin McMenamin 2012 (Access Education)
Resources Textbooks (other than the one you are using) • Jacaranda, Macmillan, Heinemann, Cambridge.. Revision Lectures: • Around September/October Tutors • Experienced teachers • University students Kevin McMenamin 2012 (Access Education)
If you would like a copy of this presentation please contact Access Education: Website: • www.accesseducation.com.au Email: • vce@accesseducation.com.au Kevin McMenamin 2012 (Access Education)