Course Title: Use a range of techniques to solve mathematical problems
Part B: Course Detail
Teaching Period: Term2 2014
Course Code: MATH5341
Course Title: Use a range of techniques to solve mathematical problems
School: 155T Vocational Health and Sciences
Campus: City Campus
Program: C4327 - Certificate IV in Tertiary Preparation
Course Contact: Nancy Varughese
Course Contact Phone: +61 3 9925 4713
Course Contact Email: nancy.varughese@rmit.edu.au
Name and Contact Details of All Other Relevant Staff
Name: Clea Price
Office: 51.04.19
Email: clea.price@rmit.edu.au
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
None.
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: |
VU21058 Use a range of techniques to solve mathematical problems |
Element: |
1. Use ratio, proportion and percent to solve problems |
Performance Criteria: |
1.1 |
Element: |
2. Use trigonometry to determine lengths and angles |
Performance Criteria: |
2.1 |
Element: |
3. Use basic indices to solve problems. |
Performance Criteria: |
3.1 |
Element: |
4. Use measurements to solve mensuration problems in two and three dimensions. |
Performance Criteria: |
4.1 |
Element: |
5. Substitute into and transpose simple equations and formulae. |
Performance Criteria: |
5.1 |
Element: |
6. Solve problems by plotting points. |
Performance Criteria: |
6.1 |
Element: |
7. Present and evaluate statistical information. |
Performance Criteria: |
7.1 |
Element: |
8. Identify connections between formulae and graphical representations. |
Performance Criteria: |
8.1 |
Element: |
9. Use algebraic techniques to analyse and solve problems. |
Performance Criteria: |
9.1 |
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
Details of Learning Activities
Students are expected to participate actively in all learning activities that include:
- discussion of mathematical concepts relevant to each topic
- discussion of the mathematical routines and procedures for solving problems related to each topic
- working independently or in groups in solving problems on exercise and work sheets
- working in groups to solve more challenging problems requiring interpretation and evaluation of results
Teaching Schedule
Week | Date Starts |
Unit | Topics | Exercises/Assessment |
1 | 7th July | 1. Number Skills | Order of Operations |
Exercise 1.1 |
Directed Numbers | Exercise 1.2 | |||
2 | 14th July | 2. Basic |
Addition and Subtraction of Fractions | Exercise 2.1 |
Multiplication and Division of Fractions | Exercise 2.2 | |||
3 | 21st July | Rounding to Decimal Places | Exercise 2.3 | |
Rounding to Significant Figures | Exercise 2.4 | |||
4 | 28th July | Decimal Calculations | Exercise 2.5 | |
Ratio and Proportion | Exercise 2.6 | |||
5 | 4th August | Percentages | Exercise 2.7 | |
Test One: Number Skills and Basic Calculations (15%) | ||||
6 |
11th August |
3. Algebra |
Fundamental Algebra | Exercise 3.1 |
Simplifying Algebraic Expressions | Exercise 3.2 | |||
7 |
18th August |
Transposition and Substitution | Exercise 3.3 | |
Solving Linear Equations | Exercise 3.4 | |||
8 |
25th August |
Graphing Linear Relations | Exercise 3.5 | |
Determining LInear Relations | Exercise 3.6 | |||
9 | 1st September |
4. Statistics | Test Two: Algebra (15%) | |
Types of Data |
Exercise 4.1 |
|||
10 |
8th September |
Representing Data | Exercise 4.2 | |
Mean, Median and Mode | Exercise 4.3 | |||
11 |
15th September | Five Number Summaries and Boxplots | Exercise 4.4 | |
Scatterplots, Correlation and LInes of Best Fit | Exercise 4.5 | |||
MID SEMESTER BREAK | ||||
12 |
29th September |
5. Indices |
Index Laws | Exercise 5.1 |
Scientific Notation | Exercise 5.2 | |||
Statistics Assignment Due Monday 29th September (20%) | ||||
13 |
6th October |
6. Geometry and Trigonometry |
Metric Conversion | Exercise 6.1 |
Perimeter | Exercise 6.2 | |||
14 |
13th October |
Area | Exercise 6.3 | |
Volume | Exercise 6.4 | |||
15 |
20th October |
Pythagoras’ Theorem | Exercise 6.5 | |
Trigonometric Ratios | Exercise 6.6 | |||
16 | 27th October | Test Three: Indices, Geometry and Trigonometry (15%) | ||
Revision for Final Exam | ||||
17 | 3rd November | EXAM WEEK: Final Exam (35%) |
Learning Resources
Prescribed Texts
References
Croucher, J.S. (1998), Introductory Mathematics & Statistics for Business (3rd Edition). Australia: McGraw-Hill. |
0074704540 |
Washington, A. J. (1995), Basic Technical Mathematics with Calculus - Metric Version (6th Edition). USA: Addison-Wesley Publishing Company. |
0201766426 |
Hodgson, B., Karanikolas, N., Langsford-Willing, B. et al. (2010). Maths Quest 12 Mathematical Methods CAS: TI-Nspire 2.0 Edition. Australia: Jacaranda Wiley. |
9781742464657 |
Nolan, J., Phillips, G., Novak, A. et al. (2006). Maths Quest 12: Further Mathematics, VCE Mathematics Units 3 and 4 (2nd Edition). Australia: Jacaranda Wiley. |
1397807314025 |
Heffernan, J., Hodgson, B., & Parkhurst, S. (1993). Mathematical Methods VCE Units 1 & 2. Australia: Jacaranda. |
0701631546 |
Iampolsky, E., Williams, R., Nolan, J. et al. (2010). Maths Quest 11 Standard General Mathematics: TI-Nspire Edition. Australia: Jacaranda Wiley. |
9781742160276 |
Williams, R., Karanikolas, N., Boucher, K. et al. (2010). Maths Quest 11 Mathematical Methods CAS (2nd Edition). Australia: Jacaranda Wiley. |
9781742160221 |
Barnes, M., Bakogianis, R., Boucher, K. et al. (2013). Maths Quest 11 Advanced General Mathematics (2nd Edition). Australia: Jacaranda Wiley. |
9781118317594 |
Other Resources
There are no prescribed texts for this course. Exercises and notes will be handed out each class and uploaded to blackboard.
Overview of Assessment
Assessment in this course will include:
Worksheets (ungraded)
Exercises (ungraded)
Quizzes (graded)
Assignment (graded)
Tests (graded)
Assessment Tasks
There are five (5) assessment tasks for this course:
- Three tests worth 15% each for a total of 45%.
- One take home assignment worth 20%.
- One end of semester exam worth 35%
Assessment Matrix
Other Information
Classroom lessons 17 x 4 hours = 72 hours
Tutorials 17 x 1 hour = 17 hours
Work outside class on Exercises, Worksheets etc = 6 hours
Assignment work = 5 hours
Revision and preparation for assessment tasks = 10 hours
TOTAL 110 hours
Students who are absent on the day of an assessment task, whose performance in an assessment task has been severely affected by some unforeseen circumstance or who are unable to submit an assignment by the due date, need to apply for Special Consideration and apply within the allowed time frame
Extension of time for submission of assessable work- A student may apply for an extension of up to 7 days from the original due date. They must lodge the application form (available on the web http://mams.rmit.edu.au/seca86tti4g4z.pdf ) at least the day before the due date. The application is lodged with the School Admin Office on Level 6, Bdg 51. Students requiring longer extensions must apply for Special Consideration (form available on the Web). For missed assessments such as exams- you (& your doctor if you are sick) must fill out a special consideration form. This form must be lodged at the HUB or online with supporting evidence (eg medical certificate), prior to, or within, 48 hours of the scheduled time of examination.
Late work that is submitted without an application for an extension will not be assessed.
Course Overview: Access Course Overview