Course Title: Work with mathematical techniques

Part B: Course Detail

Teaching Period: Term1 2020

Course Code: MATH7082

Course Title: Work with mathematical techniques

Important Information:

This course (MATH7082) is offered in the science, business and legal 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: Melanie Kyle

Course Contact Phone: +61 3 99254488

Course Contact Email: melanie.kyle@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 your area of study.


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).

http://www.acer.edu.au/cspa/australian-core-skills-framework

http://www.aqf.edu.au 

They contribute directly to the achievement of ACSF/AQF indicators of Reading and Writing competence at Level 4.


Details of Learning Activities

 This unit is part of the Certificate IV in Tertiary Preparation program. This competency will have face to face delivery. 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 

  

Course Dates Semester 1 2020: 10th February – 12 June 2020 

Mid Semester Break: Thursday 9th April – Wednesday 15th April (inclusive) 

Public Holiday: 9th March and 8th June 2020 

 


Teaching Schedule

Teaching Schedule 

 

 

Week 

 Elements 

 Topic 

 Assessment 

1 

E1  

Order of operation 

  

  

  

Directed numbers 

  

  

  

Fractions 

  

2 

E1  

Fractions and decimals 

  

  

  

Significant figures 

  

  

  

Rounding of numbers 

  

3 

 E1 

Calculation  using decimals 

  

  

  

Ratio and proportion 

  

  

  

Percentages 

  

  4

  E5

Basic algebra: substitution and transposition

  Quiz 1 

 

  

 

 

5 

 E5 

Simplify algebraic expressions 

  

  

  

Algebraic techniques to solve problems

  

  

  

 

  

  

  

Solving linear equations 

  

6 

E6  

Graphing Linear Relations 

  

  

  

Determining Linear Relations 

  

  

  E7

Application  of linear equations and graphs

  

7 

 E7 

Application  of linear equations and graphs

Quiz 2 

  

  

  

Simple  non-linear graphs  and their equations

  
   

8 

  

E7  

E4 

  

 

Scatter plot 

 

  

  

  

 

  

Line  of best fit 

Simplify Indices 

 

9 

E8  

' 

Types of Data 

  

  

  

Collecting & Representing Data 

  

  

  

Mean, Median, Mode, 5-Figure 

  

10 

E8  

summary 

Assignment hand out 

  

  

Data  collection  for assignment and 

  

11 

E8  

completion  of assignment 

  

12 

E3  

Pythagoras Theorem 

  

  

  

Perimeters  of basic shapes  and 

  

13 

E2  

combined shapes 

Assignment due 

  

  

Areas and volume  of  basic shapes and  

  

14 

E2  

combined shapes 

  

    15 

E3  

 Areas and volume of  basic shapes and combined shapes 

  

Workbook 

  

16 

E2, E3  

Revision 

 Quiz 3 

17 

  

Assessment re submissions; finalise assessment  

  


Learning Resources

Prescribed Texts


References


Other Resources

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

A basic scientific calculator is needed to solve problems. 

An exercise book to complete exercises 


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 

Top of Form 

  

 

Assessments 

Topics covered 

 Date 

  

Assessment 1: Quizzes 

  

  

  

Quiz 1 

Numbers, fractions and decimals 

 Week 4 

  

Quiz 2 

Substitution, transposition, linear equations 

 Week 7 

  

Quiz 3 

Indices, Measurement, Pythagoras and geometry 

 Week 16 

  

Assessment 2: Workbook 

Topics covered in class 

 Week 15 

  

  

Assessment 3: Project 

Collecting and representing data, analyse and describe statistical information 

Week 13 

  

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


Assessment Matrix

Other Information

 

This course is graded in accordance with competency-based assessment. 
CA Competent 
NYC Not Yet Competent 
DNS Did Not Submit for assessment

To pass the course you need to pass every assessment task. 

Late work that is submitted without an application for an extension (see below) will not be corrected.

APPLICATION FOR EXTENSION OF TIME FOR SUBMISSION OF ASSESSABLE WORK - A student may apply for an extension of up to 7 days from the original due date. They must lodge the application form (available online http://www1.rmit.edu.au/students/assessment/extension) at least 24 hours before the due date. The application is lodged with the School Admin Office on Level 2, Bdg 51. Students requiring longer extensions must apply for SPECIAL CONSIDERATION.

For missed assessments such as exams- you (and your doctor if you are sick) must fill out a special consideration form. This form must be lodged online with supporting evidence prior to, or within, 48 hours of the scheduled time of examination http://www1.rmit.edu.au/students/specialconsideration 

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.  

Course Overview: Access Course Overview