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

## Part B: Course Detail

Teaching Period: Term2 2013

Course Code: MATH5341

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

School: 155T Vocational Health and Sciences

Campus: City Campus

Program: C3305 - Certificate III in Science

Course Contact: Namrita Kaul

Course Contact Phone: +61 3 9925 4713

Course Contact Email: namrita.kaul@rmit.edu.au

Name and Contact Details of All Other Relevant Staff

+61 3 99254932

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

The purpose of this unit is to provide learners with the knowledge and skills to use a range of specialist techniques and concepts to solve mathematical problems.

National Codes, Titles, Elements and Performance Criteria

 National Element Code & Title: VU21058 Use a range of techniques to solve mathematical problems Element: 1. Use ratio, proportion and percent to solve problems Element: 2 Use trigonometry to determine lengths and angles Element: 3 Use basic indices to solve problems Element: 4 Use measurements to solve mensuration problems in two and three dimensions Element: 5 Substitute into and transpose simple equations and formulae Element: 6 Solve problems by plotting points Element: 7 Present and evaluate statistical information Element: 8 Identify connections between formulae and graphical representations Element: 9 Use algebraic techniques to analyse and solve problems

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

Teaching Schedule

 Week beginning Topic/Assessment Exercises 8/7 Induction and Numeracy Assessment Number Skills -Order of operations                            - Directed number Order of operations Exercise Directed number Exercise 15/7 Calculations involving fractions Fractions Exercise 1. 22/7 Word problems involving fractions Decimal places and significant figures Calculations involving decimals Fractions Exercise 2. Decimal places and significant figures Exercise Decimals Exercise 29/7 Ratio and proportion QUIZ 1. Ratio and proportion Exercise 1. Ratio and proportion Exercise 2. 5/8 Introduction to percentages Calculations involving percentages Introduction to algebra Percentages Exercise Basic Albegra Exercise 1. 12/8 Simplifying algebraic expressions Working with indices Basic Albegra Exercise 2. Basic Albegra Exercise 3. Indices Exercises 19/8 Scientific notation Solving linear equations QUIZ 2. Scientific notation Exercise Linear Equations Exercise 0. Linear Equations Exercise 1. 26/8 Revision MID-SEMESTER TEST 2/9 Solving linear equations Linear Equations Exercise 2. Linear Equations Exercise 3. 9/9 Working with formulae Formulae Exercise 1. Formulae Exercise 2. Formulae Exercise 3. 16/9 Metric conversion Calculating perimeter Calculating area Metric Conversion Exercise Perimeter Exercise 1. Perimeter Exercise 2. Area Exercise 1. Area Exercise 2. 23/9 MID-SEMESTER BREAK 30/9 Calculating volume Calculations involving the Theorem of Pythagoras QUIZ 3. Volume Exercise Theorem of Pythagoras Exercise 1. Theorem of Pythagoras Exercise 1. 7/10 Introduction to trigonometric ratios Calculations involving trigonometric ratios Trigonometric Ratios Exercise 1 Trigonometric Ratios Exercise 2 14/10 Calculations involving trigonometric ratios Analysis of univariate data QUIZ 4. Trigonometric Ratios Exercise 3. Statistics Exercise 1. Statistics Exercise 2. 21/10 Further analysis of univariate data STATISTICS ASSIGNMENT Introduction to linear relations  Working with linear relations Linear Relations Exercise 1. Linear Relations Exercise 2. Linear Relations Exercise 3. 28/10 Analysis of bivariate data Statistics Exercise 3. 4/11 Revision FINAL EXAMINATION

Learning Resources

Prescribed Texts

References

 Any Year 10 or Year 11 Mathematics textbook. MATHEMATICS for Biology/Pathology Technicians by Carly Marshall and Sue van Megen 0 7035 8505 0

Other Resources

Students are required to purchase:

-  a scientific calculator for use in class and when completing assessment tasks

- lined exercise book in which to complete Exercises

- binder with plastic sleeves for storing Exercises and Worksheets

- writing materials.

Overview of Assessment

Assessment in this course may include:
Worksheets
Quizzes
Assignments
Tests

4 Quizzes(best 3 results of 4 quizzes) 20%

Statistics Assignment 15%

Mid-semester Test 25%

Final Test 40%

Assessment Matrix

Other Information

1. Classroom lessons 17 x 4 hours = 72 hours

Tutorials 17 x 1 hour = 17 hours

Work outside class on Exercises, Worksheets etc = 6 hours

Assignment work = 5 hours

Revision and preparation for assessment tasks = 10 hours

TOTAL 110 hours

2. Students who are absent on the day of an assessment task, whose performance in an assessment task has been severely affected by some unforeseen circumstance or who are unable to submit an assignment by the due date, should refer to the assessment procedures described on the C3305 Certificate III in Science webpage of myRMIT Studies(Blackboard) Program Information/General information for new students.

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