Course Title: Use a range of techniques to solve mathematical problems

Part B: Course Detail

Teaching Period: Term2 2021

Course Code: MATH7081

Course Title: Use a range of techniques to solve mathematical problems

School: 174T School of VE Engineering, Health & Science

Campus: City Campus

Program: C4411 - 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

David Thomas

david.b.thomas@rmit.edu.au

Nominal Hours: 110

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 use a range of specialist techniques and concepts to solve mathematical problems.

National Codes, Titles, Elements and Performance Criteria

National Element Code & Title:	VU22074 Use a range of techniques to solve mathematical problems
Element:	1 Use ratio, proportion and percent to solve problems
Performance Criteria:	1.1 Determine a ratio from information in a practical problem and express it in simplest form 1.2 Divide a quantity into a given ratio 1.3 Convert between fractions, decimals and percent forms 1.4 Calculate a percentage increase or decrease of a quantity
Element:	2 Use trigonometry to determine lengths and angles
Performance Criteria:	2.1 Use Pythagoras’ Theorem to determine an unknown side of a right angled triangle 2.2 Use Pythagoras’ Theorem and trigonometric ratios to find unknown side lengths and angles in triangles
Element:	3 Use indices to solve problems
Performance Criteria:	3.1 Evaluate index form expressions 3.2 Simplify exponential expressions using the first two index laws 3.3 Convert between decimal numbers and numbers expressed in Standard Notation 3.4 Perform calculations with numbers expressed in Standard Notation, using a calculator
Element:	4 Use measurements to solve mensuration problems in two and three dimensions
Performance Criteria:	4.1 Determine lengths and perimeters of rectangles, triangles, circles and simple combined shapes using appropriate and correct units 4.2 Determine areas of rectangles, triangles, circles and simple combined shapes using appropriate and correct units 4.3 Determine volumes of prisms and pyramids with rectangular, triangular and circular cross-sections and with simple combined shapes as cross sections using appropriate and correct units
Element:	5 Substitute into and transpose equations and formulae
Performance Criteria:	5.1 Substitute given values into equations and formulae 5.2 Write equations to solve problems 5.3 Transpose formulae 5.4 Solve linear equations
Element:	6 Solve problems by plotting points
Performance Criteria:	6.1 Plot given points and points determined from the general formula y = mx+c on the Cartesian plane 6.2 Determine the gradient of a straight line 6.3 Determine the equation of a straight line, where the equation has the general form y = mx+c, y = a and x = b 6.4 Use interpolation and extrapolation to make predictions from the line of best fit, noting limitations
Element:	7 Present and evaluate statistical information
Performance Criteria:	7.1 Collect, organise and graphically represent statistical data 7.2 Interpret and analyse statistical information
Element:	8 Identify connections between formulae and graphical representations
Performance Criteria:	8.1 Use graphical techniques to draw linear and non-linear graphs 8.2 Develop equations for given linear graphs, including lines of best fit
Element:	9 Use algebraic techniques to analyse and solve problems
Performance Criteria:	9.1 Develop formulae to describe relationships between variables and substitute into formulae to find particular values 9.2 Use a range of techniques to solve a range of algebraic problems and perform algebraic manipulations

Learning Outcomes

Details of Learning Activities

- 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

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

Assessment in this course may include:
Worksheets
Quizzes 
Assignments
Tests 

Assessment Tasks

• Assessment task 1 (Quiz) comprises of an online quiz to be conducted in Week 3 of the semester.  

• Assessment task 2 (Workbook) comprises of a Workbook, a set of worksheets to be completed/assessed during the semester and used as an ongoing assessment tool. There will be four Worksheets in the Workbook and each worksheet to be presented and assessed in Week 4, Week 7, Week 10 and Week 14 respectively.   The complete workbook to be completed by Week 14.  Students to upload the completed worksheets on Canvas after assessed by the teacher.

• Assessment task 3 (Portfolio)The Portfolio will be a set of three class room-based activities to be conducted during the class room in the class room. These class activities of Portfolio will be conducted in Week 6, Week 12 and Week 15.  

This is a competency based course. 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, Rauha Quazi, rauha.quazi@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.

Course Overview: Access Course Overview