Course Title: Work with mathematical techniques

Part B: Course Detail

Teaching Period: Term1 2020

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: namrita.kaul@rmit.edu.au


Name and Contact Details of All Other Relevant Staff

Mila Keightley

mila.keightley@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 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 Sketch linear and simple non-linear graphs

7.2 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

Weekly Schedule Sem 1 2020

MATH7080 

Work with mathematical techniques

Wk

 

1

Order of operations

Directed numbers

 

2

BODMAS

3

Rounding of numbers

Fractions and Decimals

 

4

Significant figures

Ratios

Percentages

 

5

 Ratios

Percentages                                                                                                         

6

Conversion

Intro Transposition

 

7

Transposition

Work with Basic Indices

 

8

Scientific Notation

Intro Graphing linear equations

 

9a

Graphing linear equations

Scatter plot

Line of best fit

Simple non-linear graphs and their equations

 

 

 

Mid Semester Break

 

 

 9b

Types of Data

Intro Collecting & Representing Data

10

Collecting & Representing Data and Applications

 

11

Mean, Median, Mode

 

12

 

Intro Pythagoras’ Theorem

 

13

Pythagoras’ Theorem

Trigonometric Ratios

 

14

Areas and volume of basic shapes and combined shapes

 

15

  Revision

 16

 

End of Semester Assessments 

Resubmissions


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.

 


Overview of Assessment

Assessment may include:

  • Class Activities
  • Assignments
  • Tests


Assessment Tasks

 

Assessment 1: Early Assessment in class

Assessment 2 : Workbook. Submission via Canvas.

Assessment 3: Portfolio. This Assessments will be a set of class room-based activities to be conducted during the class time in the class room.

All Assessment Due Dates are available on Canvas under 'Assignments'

 

To pass the course you need achieve a satisfactory result for every assessment.
You will be given only two attempts for each assessment to demonstrate you have the required skills.

A third attempt can only be offered after discussions between the teacher and the Program Coordinator and is not automatic.

 

 

 

 

 


Assessment Matrix

Other Information

 

 

This course is graded in accordance with competency-based assessment

CA Competency Achieved  
NYC Not Yet Competent
DNS Did Not Submit for assessment

Submission of Assessment Tasks

It is expected that any work presented for assessment in this course will be your own. 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.

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 by filling in the application form at least one working day BEFORE the due date. The application form should be emailed to your Program Coordinator, Namrita Kaul, namrita.kaul@rmit.edu.au. 
Eligibility criteria for application and the form is available from the link: https://www.rmit.edu.au/students/student-essentials/assessment-and-exams/assessment/extensions-of-time-for-submission-of-assessable-work

If you require an extension of time longer than 7 days, you must apply for Special Consideration.

Late work that is submitted without an application for an extension will not be corrected.

Special consideration

If you are unable to sit a test, exam or lab-based assessments due to unexpected circumstances (e.g., illness), you should apply for Special Consideration for the missed assessment. Information on applying for Special Consideration can be found from the link: https://www.rmit.edu.au/students/student-essentials/assessment-and-exams/assessment/special-consideration. Applications for Special Consideration should NOT be submitted to the course or program coordinator.

 

 

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