Course Title: Use a range of techniques to solve mathematical problems
Part B: Course Detail
Teaching Period: Term1 2017
Course Code: MATH5341
Course Title: Use a range of techniques to solve mathematical problems
School: 174T School of VE Engineering, Health & Science
Campus: City Campus
Program: C4386  Certificate IV in Tertiary Preparation
Course Contact: Namrita Kaul
Course Contact Phone: +61 3 9925 4309
Course Contact Email: namrita.kaul@rmit.edu.au
Name and Contact Details of All Other Relevant Staff
Iain McKenzie
9925 4723
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 1.2 Divide a quantity into a given ratio 1.3 Convert between fractions, decimals and percent forms 1.4 Calculate a percentage increase or decrease of a quantity 
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 2.2 Use Pythagoras' Theorem and trigonometric ratios to find unknown side lengths and angles in rightangled triangles 
Element: 
3 Use basic indices to solve problems 
Performance Criteria: 
3.1 Evaluate simple index form expressions 3.2 Simplify simple exponential expressions using the first two index laws 3.3 Convert between decimal numbers and numbers expressed in Standard Notation 3.4 Perform calculations with numbers expressed in Standard Notation, using a calculator 
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 4.2 Determine areas of rectangles, triangles, circles and simple combined shapes using appropriate and correct units 4.3 Determine volumes of prisms and pyramids with rectangular, triangular and circular crosssections and with simple combined shapes as cross sections 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 5.2 Write equations to solve simple problems 5.3 Transpose simple formulae 5.4 Solve simple linear equations 
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 6.2 Determine the gradient of a straight line 6.3 Determine the equation of a straight line, where the equation has the general form y = mx, y = a and x = b 6.4 Use interpolation and extrapolation to make predictions from the line of best fit, noting limitations 
Element: 
7 Present and evaluate statistical information 
Performance Criteria: 
7.1 Collect, organise and graphically represent statistical data 7.2 Interpret, analyse and describe statistical information 
Element: 
8 Identify connections between formulae and graphical representations 
Performance Criteria: 
8.1 1 Use graphical techniques to draw linear and simple non linear graphs 8.2 Develop equations for given linear graphs, including lines of best fit 
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 9.2 Use a range of techniques to solve a range of algebraic problems and perform algebraic manipulations 
Learning Outcomes
Details of Learning Activities
 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 (start) 
Topics 

Exercises 
1 
8th Feb

Number Skills 
Order of Operations & Directed Numbers Fractions 
1.1, 1.2 
2 
13th Feb 
Basic 
Fractions and Decimals, Significant Figures Scientific Notation 
2.1, 2.2, 2.3, 2.4, 5.2 
3 
20th Feb 
Calculations 
Calculations using Decimals (calculator) Ratio and Proportion 
2.5 2.6 
4 
27th Feb 

Percentages Quiz 1 (15%) (Numbers, fracs, decimals) Basic Algebra: Substitute & Transpose 
2.7
3.1, 3.3 
5 
6th March

Algebra And 
Simplifying Algebraic Expressions Algebraic techniques to solve problems Solving Linear Equations 
3.2
3.4 
6 
13th March 
Linear Graphs 
Graphing Linear Relations Determining Linear Relations Workbook Assessment1 (15%) 
3.5, 3.6, 3.7, 3.8, 3.9 
7 
20th March 

Applications of Linear Equations and graphs Lines of Best Fit 

8 
27th March

Statistics 
Types of Data. Collecting & Representing Data Mean, Median, Mode, 5Figure summary, Scatter Plot, Line of Best Fit

4.1 – 4.4
4.5 
9 
3rd April

Indices 
Simplify Indices (2 Index Laws) Quiz 2 (15%)

5.1

10A 
10th April 
Nonlinear graphs 
Metric Conversion Simple Nonlinear graphs and their equations

9.1  9.6 
Mid Semester Break (Easter) 

10B 
17h April 
Nonlinear graphs 
Group Task: Nonlinear graphs Presentation (10%) 

11 
24th April 

Pythagoras Theorem. Perimeters of basic shapes and combined shapes (correct units) 
6.3 
12 
1st May 
Geometry & Trigonometry 
Areas of basic shapes and combined shapes (correct units) Volumes of prisms and pyramids and combined shapes. (Correct Units)

6.1
6.2 
13 
8th May 
Geometry & 
Trigonometric Ratios and Applications 
6.4 
14 
15th May 
Trigonometry 
Revision of trigonometry 

15 
22nd May 

Workbook Assessment 2 (15%) Revision 

16 
29th May 

Revision Open Book Test (30%) 

Learning Resources
Prescribed Texts
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
Overview of Assessment
Assessment in this course may include:
Worksheets
Quizzes
Assignments
Written Tests
Assessment Tasks
Task 
Topics covered 
Weighting  Date 
Quiz 1 
Numbers, Fractions, Decimals 
15%  Week 4 
Workbook 1 
Fractions, Decimals and Basic Algebra 
15%  Week 6 
Quiz 2 
Statistics and Linear Equations 
15%  Week 8 
Group Task 
NonLinear Graphs and Relations 
10%  Week 10 
Workbook 2 
Statistics, Indices, Geometry and Trigonometry 
15%  Week 15 
Test 
Indices, Pythagoras, Geometry & Trigonometry 
30%  Week 16 
Assessment Matrix
Other Information
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). 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 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