Course Title: Work with mathematical techniques

Part B: Course Detail

Teaching Period: Term2 2018

Course Code: MATH7080

Course Title: Work with mathematical techniques

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 4387

Course Contact Email:

Name and Contact Details of All Other Relevant Staff

Mila Keightley

David Thomas

Nominal Hours: 100

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


Course Description

This unit describes the skills and knowledge to work with key mathematical concepts and apply them in a scientific context

National Codes, Titles, Elements and Performance Criteria

National Element Code & Title:

VU22067 Work with mathematical techniques


1. Work with whole numbers, fractions, percentages and ratio

Performance Criteria:

1.1 Perform basic functions using whole numbers and directed numbers

1.2 Determine and simplify ratios from information in a practical problem

1.3 Apply ratios to quantities

1.4 Convert between fractions, decimals and percentages

1.5 Perform simple calculations involving fractions, decimals, mixed numbers and percent. 


2. Work with measurement to solve problems

Performance Criteria:

2.1 Identify measurements using the metric system

2.2 Use the metric system of measurement to solve problems

2.3 Identify two-dimensional and three-dimensional shapes and their properties

2.4 Calculate perimeters and areas of basic shapes using appropriate and correct units

2.5 Calculate volumes of prisms using appropriate and correct units 


3. Work with Pythagoras' Theorem and trigonometry

Performance Criteria:

3.1 Use Pythagoras’ Theorem to determine unknown sides of right angled triangles 

3.2  Use Pythagoras’ Theorem  to find unknown lengths and angles in right-angled triangles 


4. Work with basic indices

Performance Criteria:

4.1 Evaluate simple index form expressions

4.2 Apply the first two index laws to simplify simple exponential expressions

4.3 Apply Scientific Notation to large and small decimal numbers

4.4 Perform simple calculations with numbers expressed in Standard Notation 


5. Work with 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   5.5 Solve simultaneous linear equations 


6. Work with simple line graphs

Performance Criteria:

6.1 Identify parts of a graph

6.2 Plot points and points determined from the general formula y = mx on the Cartesian plane

6.3 Determine the gradient of a straight line

6.4 Determine the equation of a straight line with the general formula y = mx + c, y = a and x = b

6.5 Interpret graphical information

6.6 Draw and make predictions based on a line of best fit 


7.Work with formulae and their graphical representations

Performance Criteria:

7.1 Sketch linear and simple non-linear graphs   7.2 Determine equations for given linear graphs, including lines of best fit 


8.Work with statistical information

Performance Criteria:

8.1 Collect, organise and produce representations of statistical data

8.2 Interpret representations of statistical data

8.3 Calculate measures of central tendency

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
- face-to-face and online activities

Teaching Schedule

Weekly Schedule


Work with mathematical techniques

Semester 2 2018


Week beginning




2 July

Order of operation

Directed numbers




9 July

Fractions and decimals

Significant figures




16 July

Rounding of numbers




23 July

Percentages cont.

Quiz 1



30 July

Ratios                                                                    Conversion                                                   Introduction to Transposition



6 August


Work with Basic Indices

Quiz 1

Assignment 1



13 August

Intro Graphing linear equations




20 August


Graphing linear equations cont.

Scatter plot

Line of best fit

Simple non-linear graphs and their equations




27 August –

2 September

Mid Semester Break



3 September


Types of Data


Assignment 2



10 September


Intro Collecting & Representing Data


‘Graphs and Descriptive Statistics’ Assignment hand out


17 September


Collecting & Representing Data and Applications




24 September

Mean, Median, Mode. Standard Deviation




1 October

5-Figure summary. Boxplots.

Intro Pythagoras’ Theorem


‘Graphs and Descriptive Statistics’

Assignment 3



8 October

Pythagoras’ Theorem

Trigonometric Ratios




15 October

Areas and volume of basic shapes and combined shapes




22 October




29 October

Exam week

Quiz 2

Assignment 4

Learning Resources

Prescribed Texts


Other Resources

There are no prescribed texts for this course. Materials will be provided via the online learning management system, Canvas.

You will need a computer, some basic software, e.g.: Microsoft Word  and an internet connection. You also will receive some of your learning materials in hard copy but you will still use CANVAS for most of your course.

 RMIT University 



Overview of Assessment

Assessment may include:

  • Class Activities
  • Assignments
  • Tests

Assessment Tasks


Topics covered



Assessment 1: Quiz 1

Numbers, Order of Operations, Fractions, Decimals, Significant Figures

Ratios, Percentages, Substitution, Transposition, Basic Indices, Conversion


Week beginning 6 August


Assessment 2: 'Workbook'

‘Workbook’ Assignment submission


Week beginning 3 September


Assessment 3: ‘Graphs and Descriptive Statistics’

‘Graphs and Descriptive Statistics’ Assignment submission.

Plot graphs, represent data, analyse and describe statistical information


Week beginning 1 October


Assessment 4: Quiz 2

All resources including Pythagorean Theorem, Trigonometry and Geometry


Week beginning 29 October


Assessment Matrix

Other Information

This course is graded in accordance with competency-based 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


• To pass the course you need to pass, on average, each type of assessment (exams, pracs, and assignments etc.) For example, if there are two exams you need to have an average of 50% to pass and you also need to have passed the other assessment types. You can’t make up marks from one type of assessment to another (e.g. pass the exams but fail the worksheet component).

• Late work that is submitted without an application for an extension (see below) will not be corrected.

  • 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 at least 24 hours before the due date. The application form should be emailed to the Program 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
  • 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, 5 days 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.

Plagiarism is the presentation of the work, idea or creation of another person as though it is your own. It is a form of cheating and is a very serious academic offence that may lead to expulsion from the University. Plagiarised material can be drawn from, and presented in, written, graphic and visual form, including electronic data and oral presentation. Plagiarism occurs when the origin of the material used is not appropriately cited. It also occurs through enabling plagiarism, which is the act of assisting or allowing another person to plagiarise or to copy your own work. Please make sure you consider this carefully in completing all your work and assessments in this course and if you are unsure about whether you might have plagiarised, seek help from your teacher.


Remove lines from script areaAdd lines to script areYou will need a computer, some basic software, e.g.: Microsoft Word and an internet connection. You also will receive some of your learning materials in hard copy but you will still use CANVAS for most of your course.

Course Overview: Access Course Overview