Course Title: Work with mathematical techniques

Part B: Course Detail

Teaching Period: Term1 2021

Course Code: MATH7082

Course Title: Work with mathematical techniques

Important Information:

This course (MATH7082) is offered in the science and business streams of the Certificate IV in Tertiary Preparation.

School: 375T Vocational Design and Social Context

Campus: City Campus

Program: C4386 - Certificate IV in Tertiary Preparation

Course Contact: Jane Collins

Course Contact Phone: +61 3 99254055

Course Contact Email: jane.collins@rmit.edu.au


Name and Contact Details of All Other Relevant Staff

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

Assumed knowledge: 

To successfully undertake this unit, minimum  numeracy skills that align to level 2 of ACSF are recommended.

 

Course Description

This course will support you to develop mathematical knowledge and skills which can be applied to a science context or business 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 simplelinear equations

5.5

Solve simultaneous linear equations

Element:

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

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


On successful completion of this course, you will have developed and applied the skills and knowledge required to demonstrate your competence of the above elements. The outcomes described in this unit relate to the Australian Core Skills Framework (ACSF) and Australian Qualities Framework (AQF) in Maths competence at Level 3. 

https://www.employment.gov.au/australian-core-skills-framework

https://www.aqf.edu.au/


Details of Learning Activities

 This unit is part of the Certificate IV in Tertiary Preparation program. It will cover the following:

  • 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

Semester 1: Monday 8 February 2021 - 11 June 2021 

Mid semester break (Easter): Thursday 1 April - Wednesday 7 April  2021

Public Holidays: 8 March 2021 (Labour Day); 26 April 2021 (Anzac Day)

 **The teaching schedule may be subject to change. Students will be advised via Canvas and in class should changes occur. 

Teaching Schedule

Weekly Schedule

MATH7082  

Work with mathematical techniques

Semester 1, 2021

Week

Topics by Week

Assessments/Elements

1

Order of operations

Directed numbers

E1

2

BODMAS

E1

3

Rounding of numbers

Fractions and Decimals

 

E1

 

4

Significant figures

Ratios

Percentages

 

E1

Assignment Task 1:

Quiz 1 in class

 

5

 Ratios

Percentages 

                                                                                                       

E1

6

Conversion

Intro Transposition

 

E2 E5

7

Transposition

Work with Basic Indices

E4 E5

8

Scientific Notation

Intro Graphing linear equations

E4 E6

9

Graphing linear equations

Scatter plot

Line of best fit

Simple non-linear graphs and their equations

 E6 E7
 

Mid Semester Break

 

10

Types of Data

Collecting & Representing Data and Applications 

E7 E8

11

Mean, Median, Mode 

E8

12

 Intro Pythagoras’ Theorem

E3

13

Pythagoras’ Theorem

Trigonometric Ratios 

E3

14

Areas and volume of basic shapes and combined shapes

Assignment Task 2 due

E2

15

Prepare to submit

Assessment Task 3 

Assignment 3 due
16 Resubmissions

E1-8

 

17

End Semester Assessment feedback

 

 


Learning Resources

Prescribed Texts


References


Other Resources

Handouts and Online Learning materials in Canvas will be provided during the course. 

  • A basic scientific calculator is needed to solve problems.
  • An exercise book to complete exercises
  • Laptop
  • Internet access


Overview of Assessment

You must demonstrate an understanding of all elements of the competencies in order to be deemed competent. Assessment methods have been designed to measure achievement of each competency in a flexible manner over a range of assessment tasks. Assessment is ongoing throughout the course. Assessment tasks will require you to demonstrate the application of knowledge and skills through practical projects and/or written tasks.

Feedback:

Both verbal and written feedback will be provided throughout the semester, as well as individual and group feedback on practical exercises.

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.

 

The Student Charter www.rmit.edu.au/about/our-education/supporting-learning-and-teaching/student-charter/ summarises your responsibilities as an RMIT University student as well as the responsibilities of the university. 

 

Your course assessment conforms to RMIT assessment principles, regulations, policies and procedures which can be found on the RMIT University website at: http://www1.rmit.edu.au/browse;ID=qwxbqbg739rl1


Assessment Tasks

Assessment will take place throughout the course. Your work is assessed on a competent (CA) not yet competent (NYC) basis. You will be given feedback on all your assessment tasks. Assessments in this course may include: Worksheets, Quizzes and Assignments 

Please see Syllabus for Assessments/quizzes and dates of submission.  

 Students must show competency in all assessment tasks in order to achieve satisfactory completion of this unit.   

Assignment Task 1:Quiz 1 in week 4

Assignment Task 2: Workbook in week 14

Assignment Task 3: Portfolio week 15

Assessment Appeals, Reasonable Adjustment and Extensions 

Students can appeal assessment decisions using these forms:  

https://www.rmit.edu.au/students/student-essentials/rights-and-responsibilities/appeals   

Students may be able to access reasonable adjustment such as an extension of time or a smaller group if appropriate. Students should contact the assessor at least one week prior to the assessment if they wish to be considered for reasonable adjustment.  

https://www.rmit.edu.au/students/student-essentials/assessment-and-exams/assessment/adjustments-to-assessment  

www.rmit.edu.au/students/assessment/extension 


Assessment Matrix

Each assessment clearly outlines the competencies being addressed in the task in relation to performance criteria. The sum of assessment tasks will cover all units and their elements over a range of occasions. You will be given opportunities to demonstrate competency in a variety of ways throughout the program. 

 
You are encouraged to discuss any problems or concerns with your teacher or Program Coordinator. An assessment delivery plan will be available on CANVAS. 

Other Information

Attendance 

This course will be delivered using a blended approach; face to face classes and online, synchronous classes. 
It is strongly advised that you attend all sessions in order to engage in the required learning activities, ensuring the maximum opportunity to successfully complete this course. 

 

Student Progress 

Monitoring academic progress is an important enabling and proactive strategy to assist you to achieve your learning potential. 

Student program policy www.rmit.edu.au/policies/academicprogress 
  

You may be asked to attend mid-semester and end of semester interviews with relevant teachers and the Program Coordinator. These interviews are an important part of giving you feedback and supporting you through your program by monitoring your academic progress. 
  

Special consideration policy (Late submissions) 
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. Extension www.rmit.edu.au/students/assessment/extension 

Special consideration is an assessment adjustment for unexpected circumstances that are outside your control, which: 

Academic Integrity and Plagiarism 
RMIT University has a strict policy on plagiarism and academic integrity. Please refer to the Academic Integrity and Plagiarism policy 
www.rmit.edu.au/students/academic-integrity 

 

Recognition of Prior Learning​/RCC/Credit Transfer

Recognition of Prior Learning (RPL), Recognition of Current Competency (RCC) and/or Credit Transfer may be available depending on your previous work and life experiences, formal, informal or non formal learning, completed accredited qualification/s ​or completed units. Please discuss this with the Program Coordinator.

https://www.rmit.edu.au/students/student-essentials/enrolment/apply-for-credit

Course Overview: Access Course Overview