Mathematics Skills (3847) Portfolio development workpacks Assessment guidance

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Mathematics Skills (3847) Portfolio development workpacks Assessment guidance www.cityandguilds.com October 2013 Version 1.0

About City & Guilds As the UK s leading vocational education organisation, City & Guilds is leading the talent revolution by inspiring people to unlock their potential and develop their skills. We offer over 500 qualifications across 28 industries through 8500 centres worldwide and award around two million certificates every year. City & Guilds is recognised and respected by employers across the world as a sign of quality and exceptional training. City & Guilds Group The City & Guilds Group operates from three major hubs: London (servicing Europe, the Caribbean and Americas), Johannesburg (servicing Africa), and Singapore (servicing Asia, Australia and New Zealand). The Group also includes the Institute of Leadership & Management (management and leadership qualifications), City & Guilds Land Based Services (land-based qualifications), the Centre for Skills Development (CSD works to improve the policy and practice of vocational education and training worldwide) and Learning Assistant (an online e-portfolio). Equal opportunities City & Guilds fully supports the principle of equal opportunities and we are committed to satisfying this principle in all our activities and published material. A copy of our equal opportunities policy statement is available on the City & Guilds website. Copyright The content of this document is, unless otherwise indicated, The City and Guilds of London Institute and may not be copied, reproduced or distributed without prior written consent. However, approved City & Guilds centres and candidates studying for City & Guilds qualifications may photocopy this document free of charge and/or include a PDF version of it on centre intranets on the following conditions: centre staff may copy the material only for the purpose of teaching candidates working towards a City & Guilds qualification, or for internal administration purposes candidates may copy the material only for their own use when working towards a City & Guilds qualification The Standard Copying Conditions (which can be found on the City & Guilds website) also apply. Please note: National Occupational Standards are not The City and Guilds of London Institute. Please check the conditions upon which they may be copied with the relevant Sector Skills Council. Publications City & Guilds publications are available from our website or from our Publications Sales department, using the contact details shown below. Every effort has been made to ensure that the information contained in this publication is true and correct at the time of going to press. However, City & Guilds products and services are subject to continuous development and improvement and the right is reserved to change products and services from time to time. City & Guilds cannot accept liability for loss or damage arising from the use of information in this publication. City & Guilds 1 Giltspur Street London EC1A 9DD T +44 (0)844 543 0033 F +44 (0)20 7294 2413 www.cityandguilds.com learnersupport@cityandguilds.com

Introduction and purpose of this document This document sets out the scope and purpose of the Mathematics Skills (3847) portfolio development workpacks, and guides centre staff on how they can be used successfully with these qualifications. It is important to be clear from the outset that use of the workpacks is not mandatory. They provide suggested learning and assessment activities, as well as helping to support evidence generation; nevertheless, their use is not a substitute for the normal process of assessment planning. All evidence presented for assessment, regardless of whether it is sourced from a workpack activity or any other activity, must be assessed against the relevant unit assessment criteria, as well as being subjected to a process of Internal Quality Assurance. The workpacks are designed to reflect the flexible structure of these qualifications, providing activities relevant to all units within the Mathematics Skills suite across all five levels. There are two topics Homes and Holidays, although these topics can be adapted as necessary to ensure assessment activities are engaging and relevant to learners. About the workpacks Each workpack contains a series of tasks based on a given topic area, along with some additional questions. The letter Q denotes questions/instructions that form part of the task; the letter A refers to the additional questions. There are two workpacks at each level; between them they address all of the Learning Outcomes across all units at that level, potentially generating evidence for each of the Assessment Criteria on at least one occasion (NB: where the Criteria requires at least two occasions, learners will need to evidence the other occasion through separate activity eg from another part of their programme). The relationship between the workpack tasks/questions and qualification assessment criteria is set out in the workpack log sheets/tracking grids. In each case this indicates whether workpack evidence is sufficient to meet all of the Assessment Criteria in full, or whether additional evidence will also be required (eg a second occasion) for complete coverage. Even where the workpack provides complete coverage, it may still be necessary to provide additional evidence if any of the workpack tasks/questions have not been completed correctly. Conversely, the workpack tasks in some cases include more occasions than are strictly required by the Assessment Criteria allowing some tolerance if not all of these have been met. The workpacks are provided in MS Word format so they can easily be adapted or re-contextualised. These qualifications are designed to facilitate flexible learning and personalise learning, and it is important that their assessment should reflect that approach. Each workpack is available in two formats: candidate workpack containing the assessment tasks and questions assessor workpack containing the assessment task and questions, along with model answers in red as applicable (NB: candidates must not be given access to these). Some of the workpack tasks require the use of common measuring and weighing instruments eg rulers, tapes, scales, thermometers, clocks and calendars. These will need to be made available to candidates as necessary, along with any other relevant items (eg bags/packages for weighing). In any event learners will almost certainly need adequate opportunity to practise using these prior to undergoing any formal assessment. 1 Mathematics Skills (3847) - portfolio development workpacks

Using the candidate workpacks for portfolio development It is important to note that the workpacks may only be used for assessment purposes if work has been produced independently by the candidate. As with any form of portfolio assessment, evidencee presented for assessment must bee valid, authentic, current and sufficient. The workpacks are designed to support the assessment process and the accumulation of portfolio evidence. They are not an externally-set assignment or test, and there t is no requirementt for them to take place under any formal supervised or examination conditions. The workpacks consist of a series of f tasks and additional questions around a theme. They are not subject to any formal time constraints. Tasks can be adapted as necessary to suit the context of thee learning orr work environment, and must be engaging and relevant to learners. The workpack tasks/questions can be used flexibly, depending on the particular units candidates are working towards. t However, because the tasks have been written holistically and are designed to flow, it will sometimes be necessary too adapt themm so candidates are not relying on information from other parts of the task that they t have not covered. Additional evidence will be required where candidates havee not completed the workpack task/questions adequately, or if the Assessment Criteria require evidence from another occasion. Other evidence may be sourced from any purposeful activity that is relevant and engaging to the learner. The logsheets and tracking grids indicate how each of the unit Learning Outcomes and Assessment Criteria are addressed by the workpack tasks/questions. These must be read in conjunction with the Qualification Handbook and relevant Assessment Pack(s). Since the Assessment Criteria are based on the National Standards for Adult Numeracy, centre staff must also be familiar with the Adult Numeracy Core Curriculum. Evidence can be gathered and recorded in any auditable form, as long as it is valid, authentic, current and sufficient ass well as being easily accessible for Internal/External Quality Assurance purposes. This may include oral or observed evidence (as long as this is captured adequately), although there are a few instances (eg reading/writing figures) where written evidence is intrinsic to the Assessment Criteria. Evenn then, evidence does not necessarily need to be hand-written (eg it could be produced electronically). Candidates can generally use any equipment routinely available to themm (eg calculators) as long as this does not compromise independent achievement of the Assessment Criteria. In a few cases, use of a calculator or similar device is necessaryy in order to meet the Assessment Criteria (NB these are denoted by a calculator icon: ). Some of the tasks/questions specifically require candidates to work without a calculator or similar device. These are denoted:. Candidates must show their workingg if the task/questions instruct them to do so, since this will be assessing their process skills and use of method. There is space at the end of each activity for assessors to provide feedback to candidates. To affirm authenticity, the candidatee and assessor must signn and date the completed work at the end of each workpack. Using the assessor workpacks forr assessment The assessor workpacks contain thee tasks/questions, along with coverage of the Assessment Criteria in green (Number), pink (Measure, Shape and Space) and yellow ( Handling Data) as well as expected answers (in red). Whilst the workpack tasks/questionss are designed to generate evidencee for the unit/qualification Assessment Criteria, whether candidates work actually does so may depend on the way that they have approached the tasks/questions (eg if units are required Mathematics Skills (3847) - portfolio development workpacks 2

by have been omitted from the candidate s response). In all cases, evidence must be assessed against the relevant Assessment Criteria. Within the expected answers, any units/values shown in brackets are not required for achievement, eg for 25(cm) 25 would be sufficient. When assessing candidates responses to the tasks, the principle of follow-through should be applied to any incorrect answers ie they should be penalised only for that error, but not for any subsequent calculations based on the same data set that have otherwise been carried out correctly. Illustrated example of follow-through One of the task instructions involves calculating the cost of two tickets priced at 25 each. The candidate answers 45, so on this occasion does not meet the Assessment Criterion. The next instruction within the same task is to calculate how much change there would be from 100. Whilst the expected answer is 50, if this candidate answers 55 (by subtracting 45 from 100) this can be considered correct. Using the log sheets/tracking grid The log sheets/tracking grids are designed to record evidence collected through the workpack tasks/questions. If they are not used, an alternative method of recording and tracking evidence (eg the logsheets contained in the Mathematics Skills Assessment Pack) must be used. The first two columns of the log sheets/tracking grid show the Assessment Criteria references and descriptors. In some cases these are abbreviated and should be read in conjunction with the full specification in the Mathematics Skills Assessment Pack. There are then a further three columns for recording evidence. The third column shows tasks/questions from the first workpack; the fourth column shows tasks/questions from the second workpack; the fifth column (labelled portfolio ) is to record any additional evidence gathered from other activity. For each of the workpacks, any Assessment Criteria not covered by the tasks/questions are shaded grey. Where the Assessment Criterion can be met in full by completing both workpacks successfully, the portfolio column is shaded grey. It might still be necessary to provide additional evidence for these if the candidate s workpack evidence has not met the required standard; otherwise there should be no need to enter any information in the grey boxes. Most Assessment Criteria must be evidenced on at least two occasions; where this is not the case the reference is shaded in yellow to indicate that once is sufficient. The workpacks sometime provide more opportunities to evidence the Assessment Criteria than the two (or one) occasions required; candidates therefore do not necessarily have to get every task step or question correct as long as they have demonstrated the Criterion on the minimum number of occasions required (eg at least twice, or at least once for any yellow Criteria). Very occasionally, two task steps or questions will be part of the same occasion (eg extracting two pieces of information from the same table); this is indicated by the use of or (eg Q13 or Q14 means that only one of these questions can be used as evidence for that Criterion). Occasionally there is a letter in square brackets next to a question number. This indicates which aspects of the Assessment Criterion it covers, eg [W] means written and [C] means calculator, [L] means list and [T] means table. The meaning is always easy to decipher from the Assessment Criterion descriptor in the second column. Assessors may use any clear way of indicating which instructions/questions have been successfully answered, for example ticking or circling the reference in columns one and two; however centres are strongly advised to adopt the same system b throughout the centre. There is a final column after the evidence location columns for assessor comments. Use of this column is optional. To help authenticate the evidence, candidates and assessors must both sign and date the completed work in the grid provided at the end of each workpack. Mathematics Skills (3847) - portfolio development workpacks 3