Course Title: Use a range of techniques to solve mathematical problems
Part B: Course Detail
Teaching Period: Term1 2016
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
David Thomas
david.b.thomas@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 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
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 (mon)  topics  L1=>Lesson 1, L2=>Lesson 2 
1  8 feb  number skills  L1: Order of Operations & Directed Numbers L2: Begin Fractions 
2  15 feb  Basic Calculations 
L1: Fractions and Decimals, Rounding L2: Scientific Notation, Significant Figures 
3  22 feb  L1: Calculations using Decimals L2: Ratio and Proportion 

4  29 feb  Algebra And Linear Graphs 
L1: Percentages L2: Quiz 1 (20%) (Numbers, fractions, decimals, percentages) 
5  7 mar  L1: Basic Algebra. Write equations and solve L2: Solving Linear Equations 

6  14 mar  L1: Transposition & Substitution L2: Graphing Linear Relations Workbook Assessment (15%) 

7  21 mar  L1: Determining Linear Relations L2: Types of Data. Collecting & Representing Data 

8  28 mar  Statistics  L1: Mean, Median, Mode, 5Figure summary L2: Bivariate, Lines of best fit 
9  4 apr  L1: Quiz 2 (20%) L2: Simplify Indices 

10  11 apr  Indices  L1: Simplify Indices L2: Assessed Project in Class (15%) (nonlinear graphs) 
11  18 apr  Measurement  L1: Metric Conversion L2: Pythagoras Theorem 
12  25 apr  L1: Perimeters of basic shapes and combined shapes L2: Areas of basic shapes and combined shapes 

13  2 may  L1: Surface Area and Volume L2: Excursion 

14  9 may  Geometry & Trigonometry 
L1 & L2: Trigonometric Ratios and Applications 
15  16 may  L1 & L2: Applications of Trigonometry  
16  23 may  No lessons  
17  30 may  L1: Revision L2: Open Book Test (30%) 
Learning Resources
Prescribed Texts
Solve Maths Problems Question Booklet 
References
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
Overview of Assessment
Assessment in this course will include:
Worksheets (ungraded)
Exercises (ungraded)
Quizzes (graded)
Assignment (graded)
Tests (graded)
Assessment Tasks
2 Quizzes, 20% each = 40%
1 Workbook Assessment 15%
1 Assessed project 15%
Final Exam = 30%
Assessment Matrix
Other Information
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 (70 – 79%)
CC Competent with Credit (60 – 69%)
CAG Competency Achieved – Graded (50 – 59%)
NYC Not Yet Competent
DNS Did Not Submit for assessment
All assessment types must be passed (tests and assignments). You can’t make up marks from one type of assessment to another (e.g. pass the tests but fail the workbook 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.
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