Course Title: Work with mathematical techniques
Part B: Course Detail
Teaching Period: Term1 2024
Course Code: MATH7080
Course Title: Work with mathematical techniques
School: 535T Social Care and Health
Campus: City Campus
Program: C4411 - Certificate IV in Tertiary Preparation
Course Contact: Tracey Salter
Course Contact Phone: +61 3 9925 4277
Course Contact Email: tracey.salter@rmit.edu.au
Name and Contact Details of All Other Relevant Staff
Teacher: David Thomas
david.b.thomas@rmit.edu.au
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
None
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 |
Element: |
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. |
Element: |
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 |
Element: |
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 |
Element: |
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 |
Element: |
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 |
Element: |
6 Work with simple equations and formulae |
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 |
Element: |
7 Work with formulae and their graphical representations |
Performance Criteria: |
7.1 7.2 Sketch linear and simple non-linear graphs Determine equations for given linear graphs, including lines of best fit |
Element: |
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
| Module Number | Topics | Assessments |
| 1 | Order of operations Directed numbers Rounding of numbers |
|
| 2 | Fractions | |
| 3 | Percentages, Conversions between fractions, decimals & percentages, Ratio. |
|
| 4 | Work with Basic Indices, Scientific Notation | |
| revision | Assignment Task 1: Quiz 1 in class | |
| 5 | Algebra 1: Introduction, writing equations & substitution | |
| 6 | Algebra 2: Transposition & changing the subject | |
| 7 | Graphing linear equations | |
| 8 | Simple non-linear graphs and their equations | |
| Mid Semester Break | ||
| 9 | Bivariate data Scatter plots Line of best fit |
|
| 10 | Statistics: Collecting & Representing Data, Mean, Median, Mode |
Assignment Task 2: Workbook |
| 11 | Pythagoras’ Theorem | |
| 12 | Areas and volume of basic shapes and combined shapes | Assignment 3: Portfolio |
Learning Resources
Prescribed Texts
References
Other Resources
There are no prescribed texts for this course. Materials will be provided via the online learning management system, Canvas.
You will need access to 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.The University Library has extensive resources and provides subject specialist expertise, research advice, help with referencing and support through:
The Learning Lab
https://www.rmit.edu.au/students/study-support/learning-lab
The Study Support Hub
https://www.rmit.edu.au/students/study-support/study-support-hub
English for uni workshops
https://www.rmit.edu.au/students/study-support/workshops/english-uni-workshops
Overview of Assessment
Assessment may include:
- Class Activities
- Assignments
- Tests
Assessment Tasks
Students enrolled in Vocational Education and Training qualifications are assessed for Competency. To be assessed as Competent means you have consistently demonstrated the required knowledge and skills at a standard expected in the workplace.
To be assessed as Competent in this course, you will need to complete each assessment task to a satisfactory standard. You will receive feedback from the teacher at the conclusion of each assessment task.
You should refer to the assessment brief which is available through Canvas for full assessment criteria and due dates
Assessment Task 1: Early Assessment
Assessment Task 2: Workbook. Submission via Canvas.
Assessment Task 3: Portfolio. This Assessments will be a set of class room-based activities to be conducted during the class time in the class room.
Results that apply to courses that are delivered and assessed in accordance with competency-based assessment are:
CA Competency Achieved
NYC Not Yet Competent
DNS Did Not Submit for assessment
To successfully complete the course, you need to achieve a satisfactory result for every assessment.
You will be given two attempts for each assessment to demonstrate the required skills.
A third attempt can only be offered after discussions between teacher and the Program Coordinator and is not automatic.
Assessment Matrix
The assessment matrix demonstrates alignment of assessment tasks with the relevant unit of competency. These mapping documents are available through Program Administration if required.
Other Information
Attendance:
Your learning experience will involve class-based teaching, discussion, demonstration and practical exercises
It is strongly advised that you attend all timetabled sessions. This will allow you to engage in the required learning activities, ensuring you the maximum opportunity to complete this course successfully.
Extensions of time for submission of assessable work:
If you are prevented from submitting an assessment on time by circumstances outside your control you may apply for an extension of up to seven (7) calendar days in writing (email) to your Program Coordinator one working day BEFORE the due date. Eligibility criteria for application and the form is available from the link:
Where an extension of greater than seven days is needed, you must apply for special consideration.
Special consideration:
If due to illness or other unforeseen circumstance, you are unable to attend on the due date of an assessment (e.g. test, examination, oral, etc.) OR you do attend, but your performance has been affected, you may submit an APPLICATION FOR SPECIAL CONSIDERATION within 2 working days of the due date. If Special Consideration is granted, you will be given the opportunity to complete/repeat the assessment task at a later date. For advice on this application please visit www.rmit.edu.au/students/specialconsideration or speak to your Program Coordinator.
Academic Integrity and Plagiarism:
RMIT University has a strict policy on plagiarism and academic integrity. Please refer to the website for more information on this policy.
https://www.rmit.edu.au/students/student-essentials/assessment-and-exams/academic-integrity
Use of AI has certain restrictions in this course. Please refer to assessment instructions for guidelines on the conditions for the use of AI tools in assessments.
Credit Transfer and Recognition of Prior Learning:
Credit transfer is the recognition of previously completed formal learning (an officially accredited qualification).
Recognition of Prior Learning (RPL) is an assessment process that allows you to demonstrate competence using the skills you have gained through experience in the workplace, voluntary work, informal or formal training or other life experiences.
Please speak to your teacher if you wish to discuss applying for Credit Transfer or RPL for the unit(s) of competency addressed in this course.
https://www.rmit.edu.au/students/student-essentials/enrolment/apply-for-credit
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Course Overview: Access Course Overview