Course Title: Use a range of techniques to solve mathematical problems
Part B: Course Detail
Teaching Period: Term2 2015
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
David B Thomas
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 |
Performance Criteria: |
1.1 Determine a ratio from information in a practical problem and express it in simplest form |
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 |
Element: |
3 Use basic indices to solve problems |
Performance Criteria: |
3.1 Evaluate simple index form expressions |
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 |
Element: |
5 Substitute into and transpose simple equations and formulae |
Performance Criteria: |
5.1 Substitute given values into simple equations and formulae |
Element: |
6 Solve problems by plotting points |
Performance Criteria: |
6.1 Plot given points and points determined from the general formula y = mx on the Cartesian plane |
Element: |
7 Present and evaluate statistical information |
Performance Criteria: |
7.1 Collect, organise and graphically represent statistical data |
Element: |
8 Identify connections between formulae and graphical representations |
Performance Criteria: |
8.1 Use graphical techniques to draw linear and simple non-linear graphs |
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 |
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 | date (mon) | topics | L1=>Lesson 1, L2=>Lesson 2 | Exercise |
1 | 6 jul | number skills |
L2: Order of Operations & Directed Numbers, Begin Fractions | 1.1, 1.2 |
2 | 13th Jul | basic calculations | L1: Fractions and Decimals, Rounding | 2.1, 2.2, 2.3 |
L2: Scientific Notation, Significant Figures | 5.2, 2.4 | |||
3 | 20th Jul | L1: Calculations using Decimals | 2.5 | |
L2: Ratio and Proportion | 2.6 | |||
4 | 27th Jul | Algebra And Linear Graphs | L1: Percentages | 2.7 |
L2: Quiz 1 (20%) (Numbers, fractions, decimals, percentages) | ||||
5 | 3rd Aug | L1: Basic Algebra. Write equations and solve | 3.6 | |
L2: Solving Linear Equations | 3.4, 3.5 | |||
6 | 10th Aug | L1: Transposition & Substitution | 3.1, 3.2, 3.3 | |
L2: Graphing Linear Relations Workbook Assessment1 (15%) | 3.8 | |||
7 | 17th Aug | L1: Determining Linear Relations | 3.7 | |
L2: Types of Data. Collecting & Representing Data | 4.1 | |||
8 | 24th Aug | Statistics | L1: Mean, Median, Mode, 5-Figure summary | |
L2: Bivariate, Lines of best fit | 4.2 | |||
9 | 7th Sep | L1: Quiz 2 (20%) | ||
Indices | L2: Simplify Indices | 5.1 | ||
10 | 14th Sep | L1: Simplify Indices | 5.1 | |
L2: Assessed Project in Class (15%) (non-linear graphs) | ||||
11 | 21 Sep | Measurement | L1: Metric Conversion | |
L2: Pythagoras Theorem | ||||
12 | 28 Sep | L1: Perimeters of basic shapes and combined shapes | 6.1 | |
L2: Areas of basic shapes and combined shapes | 6.1 | |||
13 | 5 Oct | L1: Surface Area and Volume | 6.2 | |
L2: Excursion | ||||
14 | 12 Oct | Geometry & Trigonometry | L1 & L2: Trigonometric Ratios and Applications | 6.4 |
15 | 19 Oct | L1 & L2: Applications of Trigonometry | ||
16 | 26 oct | L1 & L2: Revision | ||
17 | 2 nov | L1: Revision | ||
L2: Open Book Test (30%) |
Learning Resources
Prescribed Texts
Solve Maths Problems Question Booklet, 2015 version 1.4 |
References
Any year 10 or 11 maths textbook. |
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
Assessment Tasks
2 Quizes, 20% each = 40%
1 Workbook Assessment 15%
1 Assessed project 15%
Final Exam = 30%
Assessment Matrix
Other Information
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
This course is graded in accordance with competency-based assessment, but which also utilises 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
All assessment types must be passed (theory and prac). For example, if there are two tests you need to have an average of 50% to pass. You can’t make up marks from one type of assessment to another (e.g. pass the tests but fail the prac component).
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 6, Bdg 51, or emailed to the Coordinator (nancy.varughese@rmit.edu.au).
Late work that is submitted without an application for an extension will not be corrected.
Students requiring extensions longer than 7 days must apply for Special Consideration (see the ‘Help me’ link in blackboard, via myRMIT studies or http://www1.rmit.edu.au/students/specialconsideration) For missed assessments such as exams - you (& your doctor if you are sick) must fill out a special consideration form. This form must be lodged online with supporting evidence (e.g. medical certificate), prior to, or within, 48 hours of the scheduled time of examination.
If you miss an assessment task due to unavoidable circumstances, you need to follow the procedure of special consideration and apply within the allowed time frame.
Course Overview: Access Course Overview