Course Title: Work with mathematical techniques

Part B: Course Detail

Teaching Period: Term1 2019

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: 360T Education

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 for Tertiary Preparation (C4386) Semester 1 2019:

    11 February – 7 June

    Mid Semester Break:

    Thurs 18 April – Thurs April 25

     


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

 

 

 

Basic algebra: substitution and

 

4

 E5

transposition

Quiz 1

5

 E5

Simplify algebraic expressions

 

 

 

Algebraic techniques to solve

 

 

 

problems

 

 

 

Solving linear equations

 

6

E6 

Graphing Linear Relations

 

 

 

Determining Linear Relations

 

 

 

Application  of linear equations and

 

7

 E7

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 

 Trigonometric Ratios and Applications

 

Workbook

 

16

E2, E3 

Revision

 Quiz 3

 

 

 

 


Learning Resources

Prescribed Texts


References


Other Resources

 

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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 
Assignments
 

Assessments

Topics covered

Weighting

Date

Assessment 1: Quizzes

 

 

 

Quiz 1

Numbers, fractions and decimals

20%

Week 4

Quiz 2

Substitution, transposition, linear equations

20%

Week 7

Quiz 3

Indices, trigonometry and geometry

20%

Week 16

Assessment 2: Workbook

Topics covered in class

20%

Week 15

 

Assessment 3: Assignment

Collecting and representing data, analyse and describe statistical information

20%

Week 13

 


Assessment Matrix

 

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Other Information

 

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

  • To pass the course you need to pass, on average, each type of assessment (test, assignments etc.) For example, if there are two quizzes you need to have an average of 50% to pass and you also need to have passed the other assessment types. You can’t make up marks from one type of assessment to another (e.g. pass the quizzes but fail the assignment component).
  • 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. 

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