Course Title: Use a range of techniques to solve mathematical problems
Part B: Course Detail
Teaching Period: Term2 2013
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
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 Determine a ratio from information in a practical problem and express it in simplest form |
Element: |
2. Use trigonometry to determine lengths and angles |
Performance Criteria: |
2.1 Use Pythagoras’ Theorem to determine an unknown side of a right angled triangle |
Element: |
3. Use basic indices to solve problems. |
Performance Criteria: |
3.1 Evaluate simple index form expressions |
Element: |
4. Use measurements to solve mensuration problems in two and three dimensions. |
Performance Criteria: |
4.1 Determine lengths and perimeters of rectangles, triangles, |
Element: |
5. Substitute into and transpose simple equations and formulae. |
Performance Criteria: |
5.1 Substitute given values into simple equations and formulae |
Element: |
6. Solve problems by plotting points. |
Performance Criteria: |
6.1 Plot given points and points determined from the general formula y = mx on the Cartesian plane |
Element: |
7. Present and evaluate statistical information. |
Performance Criteria: |
7.1 Collect, organise and graphically represent statistical data |
Element: |
8. Identify connections between formulae and graphical representations. |
Performance Criteria: |
8.1 Use graphical techniques to draw linear and simple nonlinear graphs |
Element: |
9. Use algebraic techniques to analyse and solve problems. |
Performance Criteria: |
9.1 Develop formulae to describe relationships between |
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 beginning | Topic/Assessment | Exercises |
8/7 |
Induction and Numeracy Assessment | Order of operations Exercise Directed number Exercise |
15/7 | Calculations involving fractions | Fractions Exercise 1. |
22/7 |
Word problems involving fractions Decimal places and significant figures |
Fractions Exercise 2. Decimal places and significant figures Exercise |
29/7 |
Ratio and proportion | Ratio and proportion Exercise 1. Ratio and proportion Exercise 2. |
5/8 | Introduction to percentages Calculations involving percentages Introduction to algebra | Percentages Exercise Basic Albegra Exercise 1. |
12/8 |
Simplifying algebraic expressions |
Basic Albegra Exercise 2. |
19/8 |
Scientific notation |
Scientific notation Exercise |
26/8 |
Revision | |
2/9 | Solving linear equations | Linear Equations Exercise 2. Linear Equations Exercise 3. |
9/9 | Working with formulae | Formulae Exercise 1. Formulae Exercise 2. Formulae Exercise 3. |
16/9 | Metric conversion Calculating perimeter Calculating area | Metric Conversion Exercise Perimeter Exercise 1. Perimeter Exercise 2. Area Exercise 1. Area Exercise 2. |
23/9 | MID-SEMESTER BREAK
| |
30/9 | Calculating volume Calculations involving the Theorem of Pythagoras QUIZ 3. | Volume Exercise Theorem of Pythagoras Exercise 1. Theorem of Pythagoras Exercise 1. |
7/10 | Introduction to trigonometric ratios Calculations involving trigonometric ratios | Trigonometric Ratios Exercise 1 Trigonometric Ratios Exercise 2 |
14/10 | Calculations involving trigonometric ratios Analysis of univariate data QUIZ 4. |
Trigonometric Ratios Exercise 3. |
21/10 | Further analysis of univariate data STATISTICS ASSIGNMENT Introduction to linear relations Working with linear relations | Linear Relations Exercise 1. Linear Relations Exercise 2. Linear Relations Exercise 3. |
28/10 | Analysis of bivariate data | Statistics Exercise 3. |
4/11 | Revision FINAL EXAMINATION | |
Learning Resources
Prescribed Texts
References
Any Year 10 or Year 11 Mathematics textbook. |
0 7035 8505 0 |
Other Resources
Students are required to purchase:
- a scientific calculator for use in class and when completing assessment tasks
- lined exercise book in which to complete Exercises
- binder with plastic sleeves for storing Exercises and Worksheets
- writing materials.
Overview of Assessment
Assessment in this course will include:
Worksheets (ungraded)
Exercises (ungraded)
Quizzes (graded)
Assignment (graded)
Tests (graded)
Assessment Tasks
4 Quizzes(best 3 results of 4 quizzes) 20%
Statistics Assignment 15%
Mid-semester Test 25%
Final Test 40%
Assessment Matrix
Other Information
1. Breakdown of nominal hours:
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
2.Note: This course will contribute to your grade average result in the Certificate IV in Tertiary Preparation (Science) qualification. Please note that you must achieve a CREDIT average across the program to be granted a guaranteed pathway in the following programs.
Diploma of Nursing (subject to passing the VETASSESS)
Diploma of Laboratory Technology (Biotechnology)
Diploma of Technology (Pathology Testing)
Diploma of Conservation and Land Management
Diploma of Dental Technology.
Course Overview: Access Course Overview