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ATPGMA002_AT2_W_TQN_V1_2019.docx

Student Name

Student Number

Unit Code/s & Name/s

ATPGMA002 Apply statistical and algebraic theory in real world contexts

Assessment Type

☐ Case Study ☒ Assignment ☐ Project ☐ Other (specify)

Assessment Name

Assignment

Assessment Task No.

AT2

Assessment Due Date

Week 8

Date submitted

Assessor Name

Bruce Peterson

Student Declaration: I declare that this assessment is my own work. Any ideas and comments made by other people have been acknowledged as references. I understand that if this statement is found to be false, it will be regarded as misconduct and will be subject to disciplinary action as outlined in the TAFE Queensland Student Rules. I understand that by emailing or submitting this assessment electronically, I agree to this Declaration in lieu of a written signature.

Student Signature

Date

PRIVACY DISCLAIMER: TAFE Queensland is collecting your personal information for assessment purposes. The information will only be accessed by authorised employees of TAFE Queensland. Some of this information may be given to the Australian Skills Quality Authority (ASQA) or its successor and/or TAFE Queensland for audit and/or reporting purposes. Your information will not be given to any other person or agency unless you have given us written permission or we are required by law.

Instructions to Student

Number of Questions: 1

General Instructions:

The student is required to answer the questions being sure to show all working. The assignment may be handwritten in blue or black pen or typed. A reference should be provided for question 1a.

Information / Materials provided: Assignment task sheet

Assessment Criteria:

To achieve a satisfactory result, your assessor will be looking for your ability to demonstrate the key skills/tasks/knowledge listed in the marking criteria to an acceptable industry standard.

Number of Attempts:

You will receive up to two (2) attempts at this assessment task. Should your 1st attempt be unsatisfactory (U), your teacher will provide feedback and discuss the relevant sections / questions with you and will arrange a due date for the submission of your 2nd attempt. If your 2nd submission is unsatisfactory (U), or you fail to submit a 2nd attempt, you will receive an overall unsatisfactory result for this assessment task. Only one re-assessment attempt may be granted for each assessment task. For more information, refer to the Student Rules.

Submission details

Insert your details on page 1 and sign the Student Declaration. Include this template with your submission.

This assignment should be submitted by the due date to your teacher in class. If you are absent from class, you may email the assignment to your teacher.

Instructions for the Assessor

This task is to be completed by the student outside of class time.

Note to Student

An overview of all Assessment Tasks relevant to this unit is located in the Unit Study Guide.

Assessment Task

- Written

ATPGMA402A_AT2_W_TQN_V2_2019 Ver. 1.1 (21/12/2015) Page 1 of 13

ATPGMA402A_AT2_W_TQN_V2_2019 Ver. 1.2 (31/05/2016) Page 3 of 13

Student Name

Student Number

Unit Code/s & Name/s

ATPGMA002 Apply statistical and algebraic theory in real world contexts

Assessment Type

☒ Assignment ☐ Project ☐ Case Study ☐ Portfolio

☐ Third Party Report (Workplace) ☐ Third Party Report (Peer) ☐ Other

Assessment Name

Assignment

Assessment Task No.

AT2

Assessment Due Date

Week 8

Date submitted

Assessor Feedback:

Student provided with feedback (check box when completed)

Attempt 1

Satisfactory

Unsatisfactory

Date

/ /

Attempt 2

Satisfactory

Unsatisfactory

Date

/ /

Assessor Name

Bruce Peterson

Assessor Signature

Note to assessor: Please record below any reasonable adjustment that has occurred during this assessment e.g. written assessment given orally.

Assessment criteria / benchmarks

The evidence submitted demonstrates that the student satisfactorily:

Attempt 1

Attempt 2

S

U

S

U

Performance evidence

P1 Apply mathematics to real world contexts may include

· Writing a formula

· Substituting into a formula

· Transposing a formula

· Demonstrating sequential steps

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P2 Present solutions using correct terminology, language, conventions and technology may include

· Correctly label linear graph

· Correct terminology for equation of straight line

· Use of calculator to substitute and solve equations

· Explain solutions with reference to graphs, linear equations

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Required Knowledge

K1 Basic algebra may include

· Using linear equations

· Substituding, rearranging and solving lineqr equations

· Translating verbal statements into linear euqations

· Representing verbal statements as linear graphs

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K2 Linear graphs may include

· Drawing graphs including choice of scale, labelling

· Expressing written information as linear graphs

· Reading and interpreting linear graphs

· Determining equations of linear graphs

· Drawing conclusions from linear graphs/equations

· Interpolating/extrapolating using graphs

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Assessment Marking Criteria

Graphing is a tool used to summarize and analyze a variety of statistical, financial and mathematical relationships.

Question 1 : (P1, P2, K1, K2)

Daisy has a busy social and work life and uses her mobile phone to stay in contact. She is trying to compare mobile phone providers to find the most cost effective option for her.

Phones’R’Us offer a $40 per month plan. This includes 15 000 free SMS within Australia. For each SMS over 15 000, Phones’R’Us then charge a flat rate of 0.1 cents per SMS.

Text’4’Cheap charge 0.35 cents per SMS but have no monthly costs.

a) On the graph paper provided, on the same set of axes, draw graphs which show the monthly spend for Phones’R’Us and Text’$’Cheap for users who spend between 0 and 20 000 SMS’s per month. Hint: make the number of SMS and the monthly spend.

b) Equations in the form of can be used to represent these mobile phone plans.

(i) Write an equation to represent the Text’4’Cheap mobile phone plan.

(ii) Write two equations to represent the Phones’R’Us mobile phone plan. Hint, the first equation will be for and the second will be for

c) Daisy estimates she sends 15 000 SMS per month. Use the above equations to determine the monthly cost to Daisy for each provider. Which phone provided would you recommend and why?

d) Daisy loses her job. She now estimates she sends only 5 000 SMS per month. Would you recommend she switch providers? Why?

e) Daisy gets a new job and her boss asks her to write a recommendation for which phone provided to use. Write a short recommendation for Daisy to give her boss?

f) Daisy’s friend Lily has a plan with Phones’R’Us and has a bill of $48. How many SMS did she make?

g) Daisy’s frien Poppy has a plan with Text’4’Cheap. She can only afford to pay $25 per month. How many SMS should she limit herself to?

h) A new provider is to enter the market. They always promise to be cheaper than the competition. What pricing would you suggest they use?

END OF ASSESSMENT

Assessment Mapping

Assessment 1 (Supervised Examination)

Assessment 2 (Assignment)

Assessment 3

(Supervised Examination)

Element 1. Apply mathematical reasoning and processes

 

 

1.1

Identify and select the mathematical procedures and technology required to make progress with the identified problem

1-9

1.2

Apply mathematical reasoning to the problem solving process to represent the problem mathetically and calculate a solution

1-9

1.3

Prove and interpret the solution in the context of the problem situation

1-9

Element 2. Organise and communicate results

 

 

2.1

Organise and rpresent statistical and algebraic information using mathematical language, conventions and technology appropriate to the audience and purpose

1-9

2.2

Explain mathematical reasoning and results using logical and sequenced ideas and information

1-9

Performance evidence

 

 

P1

Applied mathematics in real world contexts to solve problems involving algebra, statistics and probability

· Selected, substituted and transposed formulae

· Used sequential steps in solving problems

1,5,6,7,8,9

1

1,2,3,4,5,6,7,8,9

P2

Presented solutions using correct mathematical terminology, language, conventions and technology

1,2,3,4,5,6,7,8,9

1

1,2,3,4,5,6,7,8,9

Knowledge evidence

 

 

K1

Basic algebra

· Solving simple linear equations

· Translation of verbal statements into mathematical relationships

1,2,7,8,9

1

K2

Linear graphs

2, 3,4,5,6,7,9

1

K3

Basic probability

4,5,8

K4

Binomial probability

6,7

K5

Normal distribution

8,9

K6

Statistics including

· Data collection and representation

· Measure of central tendency and dispersion

1,2,3

K7

Mathematical report formats and contents

GRADED ASSESSMENT SHEET

Certificate IV in Adult Tertiary Preparation unit assessment grading

The Certificate IV in Adult Tertiary Preparation incorporates performance levels for all 10765NAT Certificate IV in Adult Tertiary Preparation units except ATPPRE001 Plan and prepare for study, which will continue to be assessed as ‘Competent’ or ‘Not yet competent’.

CRITERIA

LEVEL OF PERFORMANCE

1

2

3

4

5

1. Knowledge

Demonstrated depth and breadth of knowledge

Demonstrates a basic understanding of key concepts and underpinning knowledge of the set task. Applies these understandings in task performance to a proficient level. Plans & prioritises work load to a proficient level on most occasions.

Demonstrates a high level of understanding of key concepts and underpinning knowledge of the set task. Applies these understandings in task performance to a high standard.

Demonstrates a very high level of understanding of key concepts and underpinning knowledge of the set task. Applies these understandings in task performance to an excellent standard.

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1. Planning

Problem solving skills including work organisation, planning and self-management.

Applies sound planning and organisational skills to solve simple problems and complete the task to a proficient level.

Applies well developed planning and organisational skills to solve a variety of problems and complete the task to an advanced level.

Applies excellent planning and organisational skills to solve complex problems and complete the task to an exceptional level.

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1. Application

Evidence of application and analysis skills related to knowledge, techniques and procedures

Performs all related skills and processes to a satisfactory standard.

Performs all related skills and processes to a high standard.

Performs all related skills and processes to an excellent standard.

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1. Communication

Ability to select and use the appropriate level, style and means of communication.

Demonstrates an ability to use a satisfactory range of communication skills appropriate to the audience and situation. Demonstrates a sound understanding and the correct use of academic language in the performance of the task.

Demonstrates an ability to use effective communication skills appropriate to the audience and situation. Demonstrates a well-developed understanding and the effective use of academic language in the performance of the task.

Demonstrates an ability to use excellent communication skills appropriate to the audience and situation. Demonstrates a sophisticated understanding and the correct use of academic language in the performance of the task.

.

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Instructions: Once a student has completed all assessment for a unit of competence (except ATPPRE001) and been deemed satisfactory against all Performance Criteria, graded assessment of the unit is to be applied. To determine the final grade place one tick against the descriptor that best represents the level at which the student has performed for each of the four criteria listed in the rubric (columns 1,3,5). Columns 2 & 4 are to be used where a student’s performance is border-line between two descriptors. Add together the scores assigned to each tick from the top of the column (from 1-5) to find the total score to assign Pass, Credit or Honours as per the grading key in the bottom left hand corner.

The graded assessment sheet will be applied to all 10765NAT Certificate IV in Adult Tertiary Preparation units except ATPPRE001 Plan and prepare for study. ATPPRE001 will be assessed as ‘Competent’ or ‘Not yet competent’ only.