Course Title: Use a range of techniques to solve mathematical problems
Part B: Course Detail
Teaching Period: Term1 2011
Course Code: MATH5309
Course Title: Use a range of techniques to solve mathematical problems
School: 155T Vocational Health and Sciences
Campus: City Campus
Program: C3209 - Certificate III in Science
Course Contact: Judith McCann
Course Contact Phone: 99258366
Course Contact Email: judith.mccann@rmit.edu.au
Name and Contact Details of All Other Relevant Staff
Robert Jacobson
51.06.20
Nominal Hours: 110
Regardless of the mode of delivery, represent a guide to the relative teaching time and student effort required to successfully achieve a particular competency/module. This may include not only scheduled classes or workplace visits but also the amount of effort required to undertake, evaluate and complete all assessment requirements, including any non-classroom activities.
Pre-requisites and Co-requisites
There are no pre-requisites or co-requisites for this course.
Course Description
The purpose of this unit is to provide learners with the knowledge and skills to use a range of specialist techniques and concepts to solve mathematical problems
National Codes, Titles, Elements and Performance Criteria
National Element Code & Title: |
VPAU073 Use a range of techniques to solve mathematical problems |
Element: |
Use ratio, proportion and percent to solve problems |
Performance Criteria: |
1.1 Determine a ratio from information in a practical problem and express it in simplest form 2.1 Use Pythagoras’ Theorem to determine an unknown side of a right angled triangle 3.1 Evaluate simple index form expressions 4.1 Determine length and perimeters of rectangles, circles and simple combined shapes using appropriate and correct units 5.1 Substitute given values into simple equations and formulae 7.1 Collect, organise and graphically represent statistical information |
Learning Outcomes
At the completion of this course, the student must be able to:
• apply a wide range of strategies and techniques to solve mathematical problems including:
− using ratio, proportion and percent
− using trigonometry to determine lengths and angles
− using basic indices
− using measurements to solve mensuration problems in two and three dimensions
− substituting into and transposing simple equations and formulae
− solving problems by plotting points
− presenting and evaluating statistical information
− identifying connections between formulae and graphical representations
− using algebraic techniques to analyse and solve problems
• demonstrate estimating skills to check calculations and reasonableness of outcomes
• use mathematical symbolism, charts, diagrams and graphs as appropriate to convey mathematical thinking and processing.
• use calculators, computers for word processing or spreadsheets as appropriate
Details of Learning Activities
- work sheets
- group activities
Teaching Schedule
wk. no. | Dates | Topics |
1 | 9/2 10/2 | Induction, Numeracy test, Bodmas, Directed nos., |
2 | 16/2 17/2 | Significant figures, rounding off Scientific notation |
3 | 23/2 24/2 | Test 1 Fractions & decimals |
4 | 2/3 3/3 | Indices |
5 | 9/3 10/3 | Ratio & proportion Percentage |
6 | 16/3 17/3 | Test 2 Metric conversions |
7 | 23/3 24/3 | Area Volume |
8 | 30/3 31/3 | Perimeter Contd. |
9 | 6/4 7/4 | Statistics Test 3 |
10 | 13/4 14/4 | Revision Exam |
Learning Resources
Prescribed Texts
References
Other Resources
Overview of Assessment
Assessment in this course will include:
Worksheets (ungraded)
Exercises (ungraded)
Quizzes (ungraded)
Tests (graded)
Assignment (graded)
MId-semester Test (graded)
Final Examination (graded)
Assessment Tasks
- Class tests
- End of term 1 exam
- End of term 2 exam
Assessment Matrix
Other Information
Classroom lessons 18 x 4 hours 72 hours
Work on Group Activities 10 hours
Revision and preparation for worksheets 28 hours
TOTAL 110 hours
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