Teachers please keep copy in roll and send copy to Head Teacher
Template 14: STUDENT LEARNING AND ASSESSMENT PLAN (LAPS) Study Information for students
COURSE NAME: Certificate III in Pathways to Further Study / COURSE NUMBER: 29602 / YEAR: 2015 / SEMESTER: I / AQF level: Cert IIIYou will study the following unit/module(s): / Prerequisite units for this study: There are no prerequisite units for this unit of study
Unit purpose: This unit of competency describes the skills and knowledge required to solve everyday and work related mathematical problems using calculations with integers, fractions, decimals, ratio, proportions and percentages, the use of simple geometric properties, mensuration in two and three dimensions, basic trigonometry and introductory algebra.
NSWTMTH307 Use mathematics to solve a range of problems
Class Participation Requirements
Days / times / Monday 10:00 – 12:00
Attendance information / You may receive additional tutorial support by attending the Study Centre.
Location: / Bega Campus, Block L
Room(s) / L5
Equipment required / Pens, Pencils, Ruler, Notepad, Protractor, Scientific Calculator
Teacher Contact Information
Teacher Name: / Ian Nazer
Location: / General Education Staff Room, L3
Phone: / 6492 9748
Email: /
Assessment Information
Grade Code / Your grade will be entered in TAFE results as a mark out of 100. You will receive a transcript of your results each semester. You will receive a TAFE Certificate if you have successfully completed all core and elective modules in your certificate level.
Pass Requirements / You will need to successfully complete two tasks for every learning outcome in each module. A passing grade is achieved if you score an overall mark of 50 or more. If you are unsure please see your teacher. Your teacher will give you feedback about your results for each assessment. Please see your teacher if your require additional feedback or are unhappy with your grade.
Assessment Support / If you require assistance or assessment adjustment because you have special requirements please see your Teacher or Head Teacher. Please see your teacher if you are going to be absent for an assessment.
Additional information / For more information on Assessment see Every Student's Guide to Assessment in TAFE NSW at
https://www.tafensw.edu.au/courses/assessment/assets/pdf/assessment_guide.pdf
COURSE PLAN: LEARNING SEQUENCE AND ASSESSMENT SCHEDULE NB This plan may change with changes in the teaching learning cycle or to cater for student readiness.
Session / Elements/Performance Criteria / Learning Sequence and topics / Assessment Schedule/Methods / Equipment and resources
1 / 1.1 - 1.6 / RPL Test (if necessary)
1A. Real Numbers
1) integers,
2) rational numbers
3) irrational numbers (limit from √2 to √5,π )
4) squares and square roots
5) cubes and cubed roots
6) odd & even numbers
7) multiples and factors
8) prime & composites sets up to 100
9) using the four operations (+, -, *, /), / MIC RPL Test
Topic 1A Notes
Topic 1A Exercises
2 / 1.6 - 1.7 / 10) using order of operations and brackets together with the vinculum (fraction bar)
11) directed numbers (4 operations)
12) using rounding to decimal places and significant figures to estimate final calculations
13) using manual calculations or a calculator / Topic 1A Notes
Topic 1A Exercises
3 / 1.7 / 1B. Fractions and Decimals
14) Equivalence between fractions
15) reducing to lowest terms,
16) converting between mixed and improper fractions.
17) Addition, subtraction, multiplication and division in mixed and improper form
18) Reciprocals,
19) Fraction to decimal conversions,
20) Terminating decimal to fraction conversions.
21) Need to also recognise ⅓ and ⅔ as decimals and vice versa
Topic 1 Revision / Topic 1B Notes
Topic 1B Exercises
4 / 2.1 - 2.2 / 2. Ratios, Proportions & Percentages
1. expressing ratios in lowest terms, including mixed units such as 20 min:1½ hours.
2. dividing a quantity into two or three parts depending on ratio
3. finding parts given the whole quantity and its ratio
4. simple word problems to the level of difficulty:
If 1 kg of meat serves 4 people, how many kg are needed for
6 people?
5. conversions between fractions, decimals and percentages, not including fractional percentages except 33⅓% and 66⅔%. / Topic 2 Notes
Topic 2 Exercises
5 / 2.3 - 2.4 / 6. calculating a given percentage of a quantity.
7. expressing one quantity as a percentage of another.
8. calculating a quantity when a per cent of it is known.
9. calculating a percentage increase or decrease.
10. GST calculations, including both GST payable and calculating GST from total cost
11. composition, sharing/dividing (ratio, proportion),
12. Simple interest, discount, sale price,% increase, commission, GST (percentage),
13. % profit/loss and other relevant applications
Revision of Topic 2 / Topic 2 Notes
Topic 2 Exercises
6 / 3.1 - 3.6
1.1 - 1.7
2.1 - 2.4
3.1 - 3.6 / 3. Angles and Shapes
1. Measure and construct angles in degrees using protractor
2. Find unknown angles using angle sum of triangles and quadrilaterals
3. angle between the radius and common tangent
4. angle formed in a semi-circle
5. intersecting lines (vertically opposite angles),
6. perpendicular and parallel line properties and find the angles formed on the transversal
7. Explore symmetry in familiar contexts and in plane figures
8. Solve mathematical problems using simple geometric properties including finding unknown
Revision of Topics 1, 2 and 3 / Topic 3 Notes
Topic 3 Exercises
Revision Exercises Topics 1, 2, 3
7 / 1.1 - 1.7
2.1 - 2.4
3.1 - 3.6 / SAE1: Class Test 1 - covering Topics 1, 2 & 3 / SAE1 - Class Test 1
20% of Final Mark
Elements 1, 2, 3 / Class Test 1
8 / 4.1 - 4.4 / 4. Measurement of 2D and 3D Shapes
1. Identify the use of measurement in everyday and work contexts
2. Convert between lengths in metric units and cm3 to mL and L only. No conversion of areas or volumes in Cert III.
3. Calculate perimeters of rectangles, triangles (including
Pythagoras Theorem), circles and composite shapes
4. Calculate areas of rectangles, triangles, circles and composite shapes / Topic 4 Notes
Topic 4 Exercises
9 / 4.5 - 4.7 / 5. Calculate volumes of right prisms and right pyramids with rectangular, triangular and circular cross-sections
6. Solve simple contextual problems involving perimeter, area, volume and capacity
7. Round answers to number of decimal places/significant figures appropriate to the context
8. Calculate an unknown dimension given the perimeter, area or volume
Revision of Topic 4 / Topic 4 Notes
Topic 4 Exercises
10 / 5.1 - 5.4 / 5. Algebraic Expression & Equations
1. Write algebraic expressions from number patterns, tabulated data and word statements
2. Perform operations in algebra (no algebraic fractions)
3. Substitute into simple expressions and into common formulae and interpret the results
4. Simplify expressions by expanding single brackets / Topic 5 Notes
Topic 5 Exercises
Holidays
11 / 5.5 - 5.8
4.1 - 4.7
5.1 - 5.8 / 5. Factorise using common factors
6. Solve linear equations
7. Worded real life problems and interpretation of answers
8. Transpose formulae up to 2 steps only
9. Solve equations resulting from substitution into common formulae and interpret the results
Revision of Topics 4 and 5 / Topic 5 Notes
Topic 5 Exercises
Revision Exercises Topics 4, 5
12 / 4.1 - 4.7
5.1 - 5.8 / SAE1: Class Test 2 - covering Topics 4, & 5 / SAE1 - Class Test 2
20% of Final Mark
Elements 4, 5
13 / 6.1 - 6.3 / 6. Linear Relationships and the Number Plane
1. Plot/locate points on the Cartesian plane
2. Differentiate between dependent and independent variables in relevant contexts
3. Graph lines from a given linear equation or a given table of values
4. Find the gradient between pairs of points plotted on the Cartesian plane using rise and run only (no gradient formula) / Topic 6 Notes
Topic 6 Exercises
14 / 6.4 - 6.8 / 5. Recognise and model simple real life situations involving linear relationships by drawing graphs (travel, currency, temperature and simple interest) (do not find equation from graphs)
6. Explain the meaning in context of the intercepts (x & y) in linear models
7. Describe limitations that may exist in linear models. Boundary values, exclusion of some theoretical values that are irrelevant in the context of the model, quality of the line of best fit
8. Solve mathematical problems graphically resulting from linear models. Line of best fit can be drawn where data values are not perfectly correlated (say from an experiment)
Revision of Topic 6 / Topic 6 Notes
Topic 6 Exercises
15 / 7.1 - 7.2 / 7. Right Angled Trigonometry
1. Use a calculator to change between angles rounded to the nearest minute and angles rounded to one decimal place
2. Definitions of trigonometric ratios / Topic 7 Notes
Topic 7 Exercises
16 / 7.2 - 7.3
6.1 - 6.8
7.1 - 7.3 / 3. Use Sine, Cosine and Tangent ratios to determine missing sides and angles in right-triangles
4. Solve mathematical problems involving angles of elevation & depression, but not including bearings
Revision of Topics 6,7 / Topic 7 Notes
Topic 7 Exercises
Revision Exercises Topics 6, 7
17 / All Elements / Revision of all Topics / Revision Exercises for all Topics
Past Exams
18 / All Elements / SAE2 Final Exam- covers all topics with emphasis on Topics 6 and 7 / SAE2 Final Exam
60% of Final Mark
Elements 1, 2, 3, 4, 5, 6, 7 with emphasis on Elements 6 and 7
IMPORTANT INFORMATION FOR STUDENTS AT ILLAWARRA INSTITUTE TAFE NSW
For more information please refer to the following:
TAFE Illawarra Website at http://www.illawarra.tafensw.edu.au/ and
TAFE Illawarra 2015 Student Guide at http://www.illawarra.tafensw.edu.au/images/stories/PDF_docs/Student_Services_Information/2015_tafe_illawarra_student_guide.pdf
ABOUT ASSESSMENT
Your teacher will explain the assessment process and the assessment schedule and what you must do to achieve competence.
Assessment Feedback: If you would like additional feedback about your assessment please see your teacher.
Recognition of Prior Learning (RPL): All TAFE students are eligible to apply for Recognition of Prior Learning (RPL). For more information go to TAFE Illawarra Recognition at http://www.illawarra.tafensw.edu.au/course-and-careers/recognition. Please see your teacher or head teacher if you wish to apply for RPL. You may need to provide documentation or undertake assessment of skills and knowledge test.
Reasonable adjustment: If you have a permanent or temporary condition that may prevent you successfully completing the assessment task(s) you should immediately talk with your teacher or head teacher about ‘reasonable adjustment’.
Assessment appeals process: If you do not agree with the result given for your assessment task, you may appeal the assessment decision. You should first discuss the assessment result with your teacher or Head teacher who will discuss the appeals process with you.
Late Submission of Assessments: You are expected to submit assessments at the required time. Please tell your teacher if you are not able to be present for an assessment task and at the discretion of the teacher, alternative arrangements may be made. You may require a medical certificate.
ACCESS TO RECORDS
You can check your enrolment information and final results on the student portal. Go to http://portal.det.nsw.edu.au at the login page; enter your user name and password. Once you have accepted the conditions of use, you will find links to your email account as well as other student services.
You can also request your teacher to provide you with access to current and accurate records of your participation and progress at any time.
RIGHTS AND RESPONSIBILITIES
When you enrolled at TAFE Illawarra, you agreed to follow TAFE policies: Student Rights and Responsibilities
As a TAFE Illawarra student, you have rights and responsibilities. You have the right to be treated with respect by TAFE Illawarra staff and students.
You are expected to treat other people with respect and to follow classroom rules of behaviour, attendance and punctuality.
There are penalties if students do not follow TAFE discipline policy.
For further information on Your Rights and Responsibilities, refer to pages 9 – 16 of the TAFE Illawarra 2014 Student Guide (URL link at top of page).
Complaints: If you have a complaint about TAFE Illawarra’s services, you can speak to your teacher or Head Teacher, a Counsellor or the Campus Manager. Refer to pages 13 – 16 of the TAFE Illawarra 2015 Student Guide (URL link at top of page).
EMERGENCIES
If there is an emergency, you must leave the building immediately, walk to the nearest assembly area. Your teacher will tell you where this is located. Please stay with your teacher until you are told it is safe to return to the classroom.
You must follow the directions of a teacher. For other health and security concerns, TAFE Illawarra has First Aid Officers and Security Officers. For further information on Emergencies refer to TAFE Illawarra 2015 Student Guide (URL link at top of page).
Document Owner: GEAP Student Learning and Assessment Plan
File name: Student Learning and Assessment Plan LAPS or SLAP NSWTMTH307 Sem 1 2015 IN
Reviewed 03.04.2014 Adapted from Institute Plan