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

Part B: Course Detail

Teaching Period: Term1 2023

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

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. Your program consists of face to face and remote/online classes, unsupervised Directed Study and you are required to participate in compulsory 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.     

 

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

  • Group discussion 
  • Research assignments 
  • Guest speakers 
  • Oral and/or written questions on "What if?" scenarios 
  • Realistic simulations and role play 
  • 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

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 blackboard. 

 

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 contained in your student portal https://www.rmit.edu.au/students   

 

Semester 1 Dates:  Monday 6th February - 16th Jun

Mid Semester break – Friday 7th April – Friday 16th April

Public Holidays: Labor Day March 13 & ANZAC Day April 25

 

 SEMESTER ONE: 

 
           

 

       

Week 

   

Topic/ Learning activities 

   

Assessment  

       

Week 1 

   

Introduction to MATHs unit 

   

   

 

       

Week 2 

   

Order of operations (BODMAS)   

Calculating decimal values   

   

 

       

Week 3 

   

Directed numbers   

   

 

       

Week 4 

   

Decimals and percentages  

Conversions between fractions and decimals   

   

 

       

Week 5 

   

Percentages (cont)   

   

 

       

Week 6 

   

Fractions  

   

 

       

Week 7 

   

Fractions (cont)  

   

 

       

Week 8 

   

Fractions (cont)  

   

 

       

Week 9 

   

Ratios  

   

 

       

Week 10 

   

Ratios (cont)  

   

 

       

Week 11 

   

Algebraic application   

   

 

       

Week 12 

   

Expanding brackets and finding pronumerals   

   

 

       

Week 13 

   

Indices  

Exponential values when using a calculator   

   

 

       

Week 14 

   

Scientific notation  

   

 

       

Week 15 

   

Revision / Overview   

   

 

       

Week 16 

   

Assessment 1 – Initial quiz   

   

AT1 Due

       

Week 17 

   

Reflecting on using a range of techniques to solve mathematical problems  

   

 

       

Week 18 

   

Resubmissions  

   

 

SEMESTER TWO:

Monday 10th July – 17th November

Mid Semester break- Monday 18th September – Friday 22nd September.

 
           

Week 

       

Topic/ Learning activities 

       

Assessment  

       

Week 1 

   

Focus on workbook  

   

 

       

Week 2 

   

Focus on workbook  

   

 

       

Week 3 

   

Introduction to graphical representation  

   

 

       

Week 4 

   

Data and Central Tendency (Averages)  

   

 

       

Week 5 

   

Gradients and Y-intercepts  

   

 

       

Week 6 

   

Linear equations, tables and graphs  

   

 

       

Week 7 

   

Non-linear graphs  

   

 

       

Week 8 

   

Measurement conversions  

   

 

       

Week 9 

   

Perimeter and circumference  

  

   

AT2 workbook DUE  

       

Week 10 

   

Area  

   

 

       

Week 11 

   

Volume  

   

 

       

Week 12 

   

Pythagoras’ theorem  

   

 

       

Week 13 

   

Trigonometry  

   

 

       

Week 14 

   

Revision/overview  

   

 

       

Week 15 

   

Assessment task 3 Final quiz  

   

AT3 Final quiz DUE 

       

Week 16 

   

Unit review and reflection  

   

 

       

Week 17 

   

Assessment review  

   

 

       

Week 18 

   

Resubmissions  

   

 


Learning Resources

Prescribed Texts


References


Other Resources

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  

  

TEXTS AND EQUIPMENT 

There are no set texts in this course. 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: 

• Your laptop 
• Headphones  

References

Vic Education and Training 

https://www.education.vic.gov.au/school/Pages/default.aspx  

Australian Curriculum 

https://www.australiancurriculum.edu.au/  

Using APA 7th Edition 

https://www.lib.rmit.edu.au/easy-cite/ 

PD: RMIT creds 

https://www.rmit.edu.au/creds 

 

You are advised to look on Canvas for ongoing updated information.  


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

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: Knowledge Quiz. Due Week 16 (Sem 1)

Assessment task 2: Workbook. Due Week 9 (Sem 2)

Assessment task 3: Knowledge Quiz. Due Week 15 (Sem 2)
 

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   

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.  
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 


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. 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.  

  

Information about your course:  

You can access ‘my course’ through the RMIT website for information about timetables, important dates, assessment dates, results and progress, Canvas. 

https://www.rmit.edu.au/students/my-course  

  

Assessment:  

Information on assessment including Special consideration, Adjustments to assessment, (eg. applying for an extension of time):  

https://www.rmit.edu.au/students/my-course/assessment-results  

 

  

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/my-course/assessment-results/academic-integrity  

  

  

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/my-course/enrolment/apply-for-credit

Course Overview: Access Course Overview