Course Title: Use a range of techniques to solve mathematical problems

Part B: Course Detail

Teaching Period: Term1 2024

Course Code: MATH7086

Course Title: Use a range of techniques to solve mathematical problems

School: 535T Social Care and Health

Campus: City Campus

Program: C5422 - Diploma of Teacher Education Preparation

Course Contact: Jacqui Cheng

Course Contact Phone: +61 3 9925 4918

Course Contact Email: jacqueline.cheng@rmit.edu.au


Name and Contact Details of All Other Relevant Staff

Armen Dickranian

armen.dickranian@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 non-classroom activities.

Pre-requisites and Co-requisites

None

Course Description

his unit describes the skills and knowledge to investigate the ways in which digital learning can support educational outcomes. 

This unit applies to learners who need to develop their knowledge of the education environment in preparation for entry into and participation in an undergraduate teacher education course. 

Assessment for this course includes two Knowledges quizzes and a workbook task. 


National Codes, Titles, Elements and Performance Criteria

National Element Code & Title:

VU22074 Use a range of techniques to solve mathematical problems

Element:

1. Use ratio, proportion and percent to solve problem

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 triangles

Element:

3 Use indices to solve problems

Performance Criteria:

3.1 Evaluate index form expressions
3.2 Simplify 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 cross-sections and with simple 
combined shapes as cross sections using appropriate and 
correct units

Element:

5 Substitute into and transpose equations and formulae

Performance Criteria:

5.1 Substitute given values into equations and formulae
5.2 Write equations to solve problems
5.3 Transpose formulae
5.4 Solve 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+c 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+c, 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 and analyse statistical information

Element:

8 Identify connections between formulae and graphical representations

Performance Criteria:

8.1 Use graphical techniques to draw linear and 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


On successful completion of this course, you will have developed and applied the skills and knowledge required to demonstrate competency in the above elements. 


Details of Learning Activities

This unit is part of the Diploma of Teacher Education Preparation program. The learning and assessment in the program is delivered through remote online classes, Unsupervised Directed Study and participation in work placement. It is strongly advised you attend all sessions in order to engage in the required learning activities, ensuring the maximum opportunity to gain the competency. You are not required to attend to complete Unsupervised Directed Study, however you are expected to complete the work given and will at times be required to show evidence the work has been completed. Your Unsupervised Directed Study will be posted on Canvas.

Your learning experience will involve class-based teaching, discussion, demonstration and practical exercises. 

It is required that you attend all timetabled sessions. You must attend a minimum of 80% of all classes in order to successfully complete each unit. 

The student learning experience will be facilitated through participation in a range of activities:

  • Group discussion
  • Question and answer tasks
  • Assignments
  • Practical demonstrations and direct observation of actual work and simulated work practice
  • Oral presentations
  • Individual and group projects - Completing the projects will include negotiated independent study time and practical work relevant to the unit of competency.  


Teaching Schedule

This unit will be delivered weekly.  
Please note: While your teacher will cover all the material in this schedule, the weekly order is subject to change depending on class needs and availability of speakers and resources. Should the teaching schedule change students will be advised via Canvas.
Library Orientation & an RMIT Online Systems Information Session will be scheduled during the first two weeks of your program. Information about student services, rights and responsibilities is available on the RMIT website https://www.rmit.edu.au/students 

 

Teaching Schedule         

Refer to Canvas


Learning Resources

Prescribed Texts


References


Other Resources

RMIT will provide you with resources and tools for learning in this course through handouts, our online systems and access to facilities and relevant software. You will also have access to the library resources. It is recommended that you bring:

  • Personal Computer (for use with RMIT OneDrive)
  • Display folder with plastic sleeves
    • Highlighter pens
    • Notebook or loose leaf paper
    • Headphones 
    • USB (Memory stick)


Overview of Assessment

This unit is part of an integrated program. You must demonstrate critical aspects for assessment and evidence required to demonstrate competency in this unit. 
Assessment methods have been designed to measure achievement of each competency in a flexible manner over a range of assessment tasks. You may be assessed by: 
• Oral or written questioning 
• oral presentations 
• Assignments and projects 
• Direct observation of actual work practice 
Feedback will be provided throughout the semester in class and/or online discussions, through individual and group feedback on practical exercises and by individual consultation. 

If you have a long-term medical condition and/or disability it may be possible to negotiate to vary aspects of the learning or assessment methods. You can contact the program manager or the Equitable Learning Services if you would like to find out more.  

Full assessment briefs will be provided and can be found on Canvas.  

 


Assessment Tasks

You should refer to the assessment brief which is available through Canvas for full assessment criteria and due dates.

Assessment tasks in this unit are assessed using the following competency based results:

CA - Competency achieved
NYC - Not Yet Competent

All Assessment tasks should be submitted by the due date. If an extension is required please contact your teacher and/or Coordinator before the due date. 
You must complete a submission cover sheet for every piece of submitted work.
All assessment tasks including electronically recorded student work will be kept by the University for student feedback and to meet government requirements.
Resubmissions:
If you are found to be Not Yet Competent in a Course Assessment Task you may be allowed one resubmission only. Your teacher will provide feedback regarding what you need to do to improve and will set a new deadline for the resubmission. The highest grade you will receive if your resubmission is successful is 'CA'


Assessment Matrix

The assessment matrix demonstrates alignment of assessment tasks with the relevant Unit of Competency and with the critical aspects of assessment for each unit. A copy of the assessment matrix is available for all students. 

Other Information

Attendance - The major learning experience involves participating in face to face classes. It is strongly advised that you attend all sessions in order to engage in the required learning activities, ensuring the maximum opportunity to gain the competency.
Feedback - Monitoring academic progress is an important enabling and proactive strategy to assist you to achieve your learning potential. Students may be asked to attend interviews with relevant teachers and Program Coordinator to discuss academic progress.
Assessment Academic Progress www.rmit.edu.au/policies/academicprogress 
Special Consideration - All assessment tasks are required to be completed to a satisfactory level. If you are unable to complete any piece of assessment by the due date, you will need to apply for an extension. Please see the RMIT website for further information. www.rmit.edu.au/students/assessment/extension 
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. www.rmit.edu.au/students/academic-integrity

Course Overview: Access Course Overview