Course Title: Use a range of techniques to solve mathematical problems
Part B: Course Detail
Teaching Period: Term2 2018
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: C4386  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
Rauha Quazi
+61 3 9925 4277
rauha.quazi@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 nonclassroom activities.
Prerequisites and Corequisites
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 
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 crosssections 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 nonlinear 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
Week 
Week starting 
Topic 
Assessment 
1 
2 July 
Order of operation Directed numbers Different types of fractions 

2 
9 July 
Convert between fractions, decimals and precent Significant figures Rounding of numbers 

3 
16 July 
Index laws Simplify expressions using index laws 

4 
23 July 
Ratio and proportion Percentage increase and decrease 
Quiz 1 
5 
30 July 
Introduction to basic algebra Substitution and transposition 

6 
6 Aug 
Simplify algebraic expressions Algebric techniques to solve problems Solving linear equations 

7 
13 Aug 
Graphing Linear equations Determining Linear equations 
Quiz 2 
8 
20 Aug 
Application of linear equations and graphs Simple nonlinear graphs and their equations 



Semester break: 27 Aug – 31 Aug 

9 
3 Sept 
Scatter plot Line of best fit 
Workbook due 
10 
10 Sept 
Introduction to Statistics: Types of Data Collecting and Representing Statistical Data 

11 
17 Sept 
Interpret and analyse statistical information: Mean, Median, Mode, 5Figure summary 
Assignment hand out 
12 
24 Sept 
Data collection for assignment and working on assignment 

13 
1 Oct 
Pythagoras Theorem Trigonometric ratios and applications 
Assignment due 
14 
8 Oct 
Perimeter and area of basic shapes and combined shapes 

15 
15 Oct 
Total surface area and volume of basic shapes and combined shapes 

16 
22 Oct 
Revision 

17 
29 Oct 
Exam week 
Exam 
Learning Resources
Prescribed Texts
References
Other Resources
Online Learning materials will be provided during the course via canvas.
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
Assessments 
Topics covered 
Weighting 
Date 
Assessment 1: Quiz 1 
Number skills, fractions and decimals and percent, indices 
10% 
Week 4 
Assessment 2: Quiz 2 
Ratio and proportion, Percent increase/decrease, Substitution and transposition, Basic algebra, linear equations 
20% 
Week 7 
Assessment 3: Workbook 
Fractions and decimals Indices Ratio and proportion Percent increase/decrease Substitution, transposition Graphing and solving linear equations Simple nonlinear graphs and their equations 
20% 
Week 9 
Assessment 4: Assignment 
Collecting and representing data Analyse and describe statistical information 
20% 
Week 13 
Assessment 5: Exam 
Scatter plot Line of best fit Statistics Trigonometry and geometry 
30% 
Week 17 
Assessment Matrix
Other Information
This course is graded in accordance with competencybased assessment, but which also utilise graded assessment
CHD Competent with High Distinction (80 – 100%)
CDI Competent with Distinction (70 – 79%)
CC Competent with Credit (60 – 69%)
CAG Competency Achieved – Graded (50 – 59%)
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. Students requiring longer extensions must apply for SPECIAL CONSIDERATION.
 For missed assessments such as quizzes and exam you (& 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, five working days of the scheduled time of the assessment. 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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