Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy

Developing qualifications - drivers Progression – provide progression from Es & Os and maximise continuity between levels More open and flexible requirements – fewer, broader outcomes, more focus on skills Assessment which supports learning - open evidence requirements – choice of assessment approaches – opportunities for combined assessment Refreshed and relevant contexts for learning, providing challenge and enjoyment Personalisation and Choice – in content/contexts for Units - Added Value Unit at National 4 Robust and credible – current high standards in qualifications will be maintained

CfE Levels early years SCQF Levels Continues to 12 Relationship between CfE and SCQF Levels

Numeracy Unit : develop skills in number processes and handling information in real-life contexts involving money, time and measurement context-free so can be evidenced from any relevant area of learning, life and work likely to be used as freestanding Unit Lifeskills Mathematics : develops skills in handling information and mathematical tasks in a range of personal and workplace contexts develop mathematical reasoning skills across the Units Key points for Numeracy, Lifeskills Mathematics and Mathematics

Mathematics : has a skills-based Unit structure, with reasoning skills developed within all Units Operational skills are described at a high level within the Units to encourage flexibility in learning and assessment Operational skills are broken down into sub-skills which will form the basis of assessment at Unit level. Assessment in Mathematics and Lifeskills Mathematics Calculators allowed in Unit assessment Access to calculators restricted in assessment of added value Formulae which are new to the level can / will be provided for all assessments Added Value at National 4 assessed by two part test Added Value at National 5 assessment by two part question paper Key points (2)

Unit Structure – Lifeskills Mathematics National 3National 4National 5 Manage Money and Data Managing Finance and Statistics Shape, Space and Measures Geometry and Measures Numeracy

Unit Structure - Mathematics National 4National 5 Expressions and Formulae Relationships NumeracyApplications

Lifeskills Mathematics : National 5 2 : At all levels Units can contribute to Course Award at the level below Fallback from National 5 to National 4 would also require completion of, and entry for, Added Value Unit to achieve Course at National 4 Fallback arrangements (1)

Mathematics - National 4 3 : To be awarded Lifeskills Mathematics National 3 If all National 4 Units in Mathematics are achieved( except AV Unit) candidate can be awarded Lifeskills Mathematics 3 All Units achieved at National 4 Mathematics these will be noted on certificate Fallback arrangements (2)

Mathematics - National 5 4 : To be awarded National 4 Mathematics Expressions and Formulae (Nat 5)and Relationships (Nat 5) can contribute to Course at National 4 Candidate must have successfully evidenced Numeracy Unit at National 4 or National 5 - National 5 Units are likely to provide most of this evidence but supplementary evidence for probability also required Successful completion of Added Value Unit at National 4 Separate entry for National 4 Numeracy required Fallback arrangements (3)

New Quality Assurance arrangements Will cover new National 1 to National 5 from 2013/14 New arrangements will promote shared understanding of national standards through a collaborative and partnership approach New Nominee role - provides a pool of nationally trained experts Intense verification in the first 3 years, then an intelligence led approach will be adopted Verification in Nov/Dec, Feb and Apr/May - allows for early identification of issues and support/guidance to be given

Assessment Support Schedule 2012/13 Oct 12 to Mar 13 N2 to N5 Unit Assessment Support (Package 1) Feb 13 N2 to N5 Unit Assessment Support (Package 2) Feb 13 N5 Specimen Question Paper Apr 13 N2 to N5 Unit Assessment Support (Package 3) Apr 13 N5 Specimen Coursework (Not applicable for Maths / LMaths) Apr 13 N4 Added Value Assessment Support

Mathematics and Lifeskills Mathematics Unit Assessment National 3 to National 5

Unit assessment Flexible and open Assessment Standards and Evidence Requirements in Units Greater range of techniques and methodologies for assessment – encouraged through Unit assessment support packages Assessments can be designed to provide evidence across more than one outcome or Unit – combined assessments More opportunities to gather naturally occurring evidence – assessment as part of learning and teaching

Unit Assessment Support packages – purpose Assessment support packages will be provided which you can use to: Assess your candidates Adapt for your own assessment programmes Help you develop your own assessments

Unit Assessment Support packages – key features Valid from August 2013 Designed to encourage professional judgement Provide broad-based tasks – allow assessors to choose appropriate context and forms of evidence Show range of approaches to generating assessment evidence Give information on the type of evidence which could be gathered and how this is to be judged against Assessment Standards

Unit Assessment Support packages – key features Purpose and Overview Purpose - what is being assessed – one Unit / two Units / selected Outcomes or Assessment Standards Description – approach used in exemplar Flexibility – reference to how this might be presented to candidates

Unit Assessment Support packages – key features Assessment conditions Support - peer support, dealing with group work, teacher prompts Time - not a constraint (conditions must be the same for all approaches ) Resources – use of calculators, formula sheets

Unit Assessment Support packages – key features Gathering and judging evidence Practical approaches to retaining evidence Importance of consistent application of standard Specific advice for exemplar in the package Specific marking guidance

Judging evidence Outcomes Assessment standards Making assessment judgements Meeting the standard using this example What evidence must cover How much is required & how well it is done From where in assessment task can evidence be obtained, e.g. question number / task

Unit assessment support packages - approaches Mathematics Package 1 Unit by Unit approach – discrete assessment tasks for each Unit Package 2 Combined approach – groups Outcomes and Assessment Standards from different Units Package 3 Portfolio approach – naturally occurring evidence

Relationships : National 5 Assessment standard Judging the evidence Question Number Operational skill 1.1 (Applying algebraic skills to linear equations ) At least half of the main points of process and accuracy associated with the sub-skills in this assessment standard have been successfully demonstrated Questions 1 to 5 Operational skill 1.2 (Applying algebraic skills to graphs of quadratic relships) At least half of the main points of process and accuracy associated with the sub-skills in this assessment standard have been successfully demonstrated Questions 6 to 9 Reasoning skill : 2.1 ( Interpreting a situation ….) This assessment standard should be achieved on at least one occasion. Questions 3 and 16

Relationships National 5 Assessment standard Question Number No. of points of process and accuracy in this sample Minimum number of points in this sample assessment Operational skill Operational skill Reasoning skill : and 1621

Unit Assessment Support reassessment normally one reassessment different questions if not all sub skills sampled in first assessment expected that different ones would be used in any reassessment

Mathematics Workshop

Unit assessment support packages - approaches Lifeskills Mathematics (including Numeracy) Package 1 Unit by Unit approach – discrete assessment tasks for each Unit Package 2 Combined approach including Numeracy – groups Outcomes and Assessment Standards from different Units, AND Unit by Unit approach (Numeracy) – discrete assessment tasks for each Unit Package 3 Unit by Unit – discrete assessment tasks using SOLAR based e- assessment

Lifeskills Maths Assessment standard Judging the evidence Question Number Strategies:Identified valid/effective methods and/or approaches, e.g. theorem or formulae to solve given problems or answer questions in at least half …. Questions 1–4 Processes:Used the appropriate steps and/or techniques….. Processes must be correct or followed through correctly in at least half…... Questions 1–4 Communication:Communicate mathematical information and/or justified solutions by using the results of measurements or calculations in at least half of the finance opportunities available in the specific assessment guidelines. Questions 1–4

Numeracy Assessment standard (example) Judging the evidence Question Number Selecting and using appropriate numerical notation and units Selected/used appropriate numerical notation for calculations and/or recording measurements on at least one occasion for each of the following: money, time and measurement. Tasks 1–4: Extracting and interpreting data Extracted and interpreted data from one graphical form correctly. Task 5

Lifeskills Mathematics / Numeracy Workshop

Qualifications Update: Lifeskills Mathematics Qualifications Update: Lifeskills Mathematics

SOLAR Online delivered rules-based assessments Dynamically generated from bank of quality assured questions every time Pre-verified question content with no verification requirement* Can be delivered securely on USB/Laptop offline Supports assessment-on-demand and when-ready

SOLAR & Lifeskills E-only whole unit assessment Dynamically generated using rules and criteria Pass awarded if standard in each outcome is met Range of question types and marking methods Supports e-verification

Marking methods Automatic Smart Human/manual

Re-Assessment Whole unit re-assessment Outcome-level re-assessment Using same bank of question items and same rules as first attempt Same QA rules apply as for paper-based delivery

Available from 30 April 2013 Single fixed version assessments for each of the 9 units Exemplifying question types and structure of assessment

Available from August 2013 Dynamic-rules based summative assessment for each unit, verified and quality assured Formative assessments at N3, N4 and N5

On-going Development Further development of question items Production of formative questions to support system use and learning

On-going Development Know the subject Experience of teaching Evidence of materials development Interested in learning Available between April 2013 – Sept 2014

Have A Go

SOLAR Questions Graeme Clark SOLAR Manager

Mathematics and Lifeskills Mathematics Added Value Assessments: - National 5 Course Assessment - National 4 Added Value Unit Mathematics and Lifeskills Mathematics Added Value Assessments: - National 5 Course Assessment - National 4 Added Value Unit

Adding Value – National 4, National 5 Each Course at National 4 and National 5 includes assessment of Added Value For National 4, the added value is in an Added Value Unit - not graded For National 5, the added value is in the Course Assessment - graded A - D (as at present)

Added Value Makes the Course more than the sum of its parts Builds on current Course assessment and Group Award approaches Defined as breadth, challenge and/or application as outlined in Building the Curriculum 5 May involve accumulation, assimilation, integration and/or application of skills, knowledge and understanding

National 5 – Lifeskills Mathematics – Specimen Question Paper

National 5 : Mathematics – Specimen Question Paper

National 4 Added Value Unit – Lifeskills Mathematics and Mathematics