Course Title: Use a range of techniques to solve mathematical problems
Part B: Course Detail
Teaching Period: Term1 2015
Course Code: MATH5341
Course Title: Use a range of techniques to solve mathematical problems
School: 155T Vocational Health and Sciences
Campus: City Campus
Program: C3305  Certificate III in Science
Course Contact: Namrita Kaul
Course Contact Phone: +61 3 9925 4713
Course Contact Email: namrita.kaul@rmit.edu.au
Name and Contact Details of All Other Relevant Staff
David B Thomas
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 nonclassroom activities.
Prerequisites and Corequisites
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, circles and simple combined shapes using appropriate and correct units 
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 variables and substitute into formulae to find particular values 
Learning Outcomes
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  Week beginning  Topics  Exercises 
1  9 Feb  Induction Number Skills – Order of Operations Number Skills – Directed Numbers  1.1, 1.2 
2  16 Feb  Fractions  2.1  2.4, 5.2 
3  23 Feb  Decimals and Significant Figures Ratio and Proportion  2.5, 2.6 
4  2 March 
Percentages Quiz 1 Basic Algebra  2.7, 3.1, 3.3 
5  9 March 
Simplifying Algebraic Expressions Algebraic techniques to solve problems Solving Linear Equations  3.2, 3.4 
6  16 March  Graphing Linear Relations Determining Linear Relations Workbook Assessment1 (10%)  3.5, 3.6, 3.7, 3.8, 3.9 
7  23 March  Applications of Linear Equations and graphs Lines of Best Fit  worksheets 
8  30 March  Types of Data. Collecting & Representing Data Mean, Median, Mode, 5Figure summary,  4.1 – 4.4 
9  6 April  Quiz 2 (20%) Scatter Plot, Line of Best Fit)  4.5 
10  13 April  Simplify Indices (2 Index Laws)  5.1 
11  20 April  Metric Conversion Simple Nonlinear graphs and their equations  9.1  9.6 
12  27 April  Group Task: Nonlinear graphs Presentation (10%)  9.1  9.6 
13  4 May  Pythagoras Theorem. Perimeters of basic shapes and combined shapes (correct units)  6.3 
14  11 May  Areas of basic shapes and combined shapes (correct units) Volumes of prisms and pyramids and combined shapes. (Correct Units  6.1 6.2 
15  18 May  Trigonometric Ratios and Applications  6.4 
16  25 May  Revision  worksheets 
17  1 & 8 June 
Workbook Assessment2 (10%) Exam 
Learning Resources
Prescribed Texts
There is no prescribed text but some notes will be available in class 
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 may include:
Worksheets
Quizzes
Assignments
Tests
Assessment Tasks
2 Quizes, 20% each = 40%
2 Workbook Assessments 10% each = 20%
1 Group Presentation Task 10%
Final Exam = 30%
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
This course is graded in accordance with competencybased assessment, but which also utilises graded assessment
CHD Competent with High Distinction (80 – 100%)
CDI Competent with Distinction (60 – 79%)
CC Competent with Credit (50 – 59%)
CAG Competency Achieved – Graded (0 – 49%)
NYC Not Yet Competent
DNS Did Not Submit for assessment
Assessment information
 All assessment types must be passed (exams, workbook and assignments etc.). For example, if there are two tests you need to have an average of 50% to pass. You can’t make up marks from one type of assessment to another (e.g. pass the tests but fail the prac component).
 APPLICATION FOR 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 online http://www1.rmit.edu.au/students/assessment/extension) at least 24 hours before the due date. The application is lodged with the School Admin Office on Level 6, Bdg 51, or emailed to the Coordinator (nancy.varughese@rmit.edu.au).
 Late work that is submitted without an application for an extension will not be corrected.
 Students requiring extensions longer than 7 days must apply for Special Consideration (see the ‘Help me’ link in blackboard, via myRMIT studies or http://www1.rmit.edu.au/students/specialconsideration) 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 online with supporting evidence (e.g. medical certificate), prior to, or within, 48 hours of the scheduled time of examination.
 If you miss an assessment task due to unavoidable circumstances, you need to follow the procedure of special consideration and apply within the allowed time frame.
Course Overview: Access Course Overview