# Course Title: Perform computations

## Part B: Course Detail

Teaching Period: Term2 2009

Course Code: MATH5265C

Course Title: Perform computations

School: 130T Vocational Engineering

Campus: City Campus

Program: C0021 - Victorian Certificate in Applied Learning (Intermediate)

Course Contact: Tony Robins

Course Contact Phone: +61 3 99254519

Course Contact Email: tony.robins@rmit.edu.au

Name and Contact Details of All Other Relevant Staff

ext. 54541

Nominal Hours: 30

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

Nil

Course Description

This unit covers estimating approximate answers to arithmetical problems, carrying out basic calculations involving percentages and proportions, and determining simple ratios and averages. The unit includes producing and interpreting simple charts and graphs.

National Codes, Titles, Elements and Performance Criteria

 National Element Code & Title: MEM12024A Perform computations Element: 1. Determine work requirement 2. Perform calculations 3. Produce charts and graphs from given information Performance Criteria: 1.1 Required outcomes are established from job instructions. 1.2 Data is obtained from relevant sources and interpreted correctly. 1.3 Required calculation method is determined to suit the application, including selection of relevant arithmetic operations and/or formulae. 1.4 Expected results are estimated, including rounding off, as appropriate. 2.1 Calculation method is applied correctly. 2.2 Correct answer is obtained. 2.3 Answer is checked against estimation. 3.1 Data is transposed accurately to produce charts or graphs. 3.2 Charts or graphs accurately reflect data on which they are based.

Learning Outcomes

Details of Learning Activities

This unit covers estimating approximate answers to
arithmetical problems, carrying out basic calculations
involving percentages and proportions, and determining
simple ratios and averages. The unit includes producing and
interpreting simple charts and graphs.

Classroom tutorial activities: Worksheets are provided so as to consolidate the concepts of all covered topics.

Practical exercises: Where applicable, practical problems will be used to demonstrate applications of the topics to real life electrotechnology situations.
A project will be set in order to encourage students to find and understand a mathematical problem and to perform calculations based on their findings.

It is expected that students would require approximately 10% of course hours to be allocated for independent study and to do research for the project.

Teaching Schedule

 Week Number Topic Delivered Assessment Task 1 Basic Operations Addition, subtraction, multiplication, division. Order of operations Worksheet 2 Decimals and Percentages Real number system. Conversion of decimals to fractions and vice versa. Worksheet 3 Fractions – addition, subtraction, division, multiplication Worksheet 4 MeasurementScientific Notation Random and systematic errors. Absolute and relative errors Worksheet 5 Ratio & Proportion Direct and inverse proportion. Worksheet 6 Algebra – Substitution, Transposition of formulae (various types including linear, squares etc) Worksheet 7 Algebra – Transposition continued. Worksheet 8 Exam 1 Written Examination on Weeks 1 to 7 topics. 9 Volume, length, area, perimeter. Worksheet 10 Trigonometry:Pyhtagoras’ theorem sin, cos, tan Unit circle No assessment as not included in the competency, but required for all electrotechnology apprenticeships 11 Graphs – Plotting graphs. Linear graphs Worksheet 12 Graphs – sin and cos including phase shift. No assessment as not included in the competency, but required for all electrotechnology apprenticeships 13 Charts – Histograms and Pie charts Worksheet 14 Exam 2 Written Examination on Weeks 9, 10 to 13 topics

Learning Resources

Prescribed Texts

References

 Basic Mathematics, Kruglak & Moore, Schaum’s Outline Series, McGraw-Hill

Other Resources

Overview of Assessment

This is a progressive assessment, the students are required to undertake summative assessments as follows:

• Assignment/Project
• Test