Mathematics: Personal Finance Award The Personal finance Award at SCQF Level 4 is jointly awarded by the Scottish Qualifications Authority and the ‘ ifs’ School of Finance. It equips candidates with skills to understand and manage money throughout their lives Why deliver this qualification The importance of financial education in schools is now widely recognised as an important and necessary life skill for young people. The Personal Finance Award will equip candidates with the skills to be able to cope confidently and effectively with basic financial encounters as well as managing money. Structure The Personal Finance Award consists of two 40 hour Units set at SCQF Level 4: The Principles of Money – candidates will gain an understanding of what ‘money’ is and where is comes from Money Management – it will prepare candidates to deal with bills and budgeting Who should study the qualification National 3 or 4 in S4 Assessment The qualification is designed for online testing via SQA SOLAR. A paper for each unit will also be available Money Management end of unit test is an outline objective test of 20 questions, candidates must achieve 60% to pass the Unit The Principles of Money end of unit test is an outline objective test of 25 questions candidates must achieve 60% to pass the unit. Mathematics: National 4 Course Outline In this course you will build on your previous mathematical experience. You will learn to interpret information and solve problems relevant to real life and mathematical situations. You will use, explore and manage mathematical language and ideas, which are all important in scientific and research work. The course has three compulsory units, plus an added value unit that assesses your practical skills Expressions and Formulae use mathematical operational skills linked to expressions and formulae, such as manipulating abstract terms, simplifying expressions and evaluating formulae cover aspects of algebra, geometry, statistics and reasoning Relationships solve equations, understand graphs and work with trigonometric ratios cover aspects of algebra, geometry, trigonometry, statistics and reasoning Numeracy use numerical skills to solve straightforward real life problems involving time/money/measurement interpret graphical data and situations involving probability to solve straightforward real life problems involving money/time/measurement Added Value Unit: Mathematics Test sit one question paper testing your mathematical operational skills, without the aid of a calculator sit one question paper testing your reasoning skills, where you can use a calculator Assessment Work is assessed on a regular basis throughout the course. Items of work might include: practical work – working with real life plans or drawings, or using technology written work – investigative or project based tasks such as data collection or organisation class-based exams You must pass all units plus the added value unit to gain the course qualification Mathematics: National 5 Course Outline In this course you will build on your previous mathematical experience. You will learn and apply operational skills you need to develop mathematical ideas through symbolic representation and diagrams. You will select and apply mathematical techniques, and learn about the interdependencies within mathematics. You will develop your mathematical reasoning and problem solving skills. And you will get experienced in making informed decisions. The course has three compulsory units. The units are similar to those for National 4 but you will be expected to produce a higher standard of work. Expressions and Formulae develop skills linked to mathematical expressions and formulae, such as manipulating abstract terms, simplifying expressions and evaluating formulae learn aspects of number, algebra, geometry and reasoning. Relationships develop skills linked to mathematical relationships, including solving and manipulating equations, working with graphs and carrying out calculations on the lengths and angles of shapes learn aspects of algebra, geometry, trigonometry and reasoning. Applications develop skills linked to applications of mathematics, including trigonometry, geometry, number processes and statistics within real life contexts learn aspects of trigonometry, geometry, number processes, statistics and reasoning Assessment Units will be assessed internally as 'pass' or 'fail'. Your work will be assessed on an ongoing basis throughout the course. Items of work might include: projects or investigations problem solving tasks and activities short or extended response tests. Units do not contribute to your overall grade but to achieve the course qualification, you must pass all units plus a course assessment. Prior Qualification Required: Level 4 in S3 or National 4 in S5 Life Skills Mathematics: National 3/4 Why Life Skills Mathematics? Mathematics is important in everyday life, allowing us to make sense of the world and manage our lives. You will learn how to model real-life situations and make connections and informed predictions. You will develop the skills to interpret and analyse information, simplify and solve problems, assess risk, and make informed decisions. These skills will make you valuable to future employers. The course has three compulsory units, plus an added value unit that assesses your practical skills. Managing Finance and Statistics learn how to use reasoning and financial skills to manage finance and statistics in real-life situations learn how to budget, and how to organise and present data. Geometry and Measures learn how to apply reasoning skills and geometric skills in real-life situations learn how to use mathematical reasoning to interpret and use shape, space and measures. Numeracy develop your numerical and information-handling skills to solve real-life problems involving number, money, time and measurement learn how to interpret graphical data and use probability to solve real-life problems involving money, time and measurement. Life Skills Mathematics Test complete a test that assesses your ability to organise and plan aspects of personal life, the workplace and the wider world using mathematical ideas and strategies use reasoning to apply and integrate financial, measurement, geometric and statistical skills in real-life contexts be assessed on your ability to use your numerical skills without the aid of a calculator. Assessment Your work will be assessed by your teacher on an ongoing basis throughout the course. Items of work might include: practical work - handling money written work - spreadsheets and worksheets projects class-based exams. You must pass all the units including the test to gain the qualification. Mathematics: Higher Why Mathematics? This course enables you to build on your previous mathematical experience in the areas of algebra, geometry and trigonometry and introduces you to elementary calculus. The study of Mathematics provides you with many valuable skills. It is often very important when seeking employment or entry to further or higher education and is an important part of your general education. What does the course involve? The course is made up of three units. Mathematics : Expressions and Functions (Higher) The general aim of this Unit is to develop knowledge and skills that involve the manipulation of expressions, the use of vectors and the study of mathematical functions. The Outcomes cover aspects of algebra, geometry and trigonometry, and also skills in mathematical reasoning and modelling. Mathematics: Relationships and Calculus (Higher) The general aim of this Unit is to develop knowledge and skills that involve solving equations and to introduce both differential calculus and intergral calculus. The Outcomes cover aspects of algebra, trigonometry, calculus, and also skills in mathematical reasoning and modelling. Mathematics: Applications (Higher) The general aim of this Unit is to develop knowledge and skills that involve geometric applications, applications of sequences and applications of calculus. The Outcomes cover aspects of algebra, calculus, and also skills in mathematical reasoning and modelling. How is your work assessed? This course is assessed by a combination of internal assessment by the teacher and an external examination set and marked by the SQA What prior qualifications do I need, if any, for entry to this course? ‘A’ or ‘B’ pass at National 5 in S4 ‘A’ pass at Intermediate 2 in S5 or entry at discretion of the Principal Teacher Maths Mathematics: Advanced Higher Why Mathematics? Advanced Higher Mathematics builds on your mathematical skills, knowledge and understanding and enables you to integrate your knowledge of different aspects of the subject. The course offers depth and breadth of mathematical experience and provides a sound basis for progression to further study of employment in the areas of mathematical and physical sciences, computer science engineering, biological and social sciences, medicine, accounting, business and management. What does the course involve? The basic course is made up of three units. The units build on the mathematical knowledge and skills gained at Higher Level. At the moment we offer Advanced Higher Pure Maths Units 1,2 and 3. Methods in Algebra and Calculus (Advances Higher) The general aim of the Unit is to develop advanced knowledge and skills in algebra and calculus that can be used in practical and abstract situations to manage information in mathematical form. The Outcomes cover partial fractions, standard procedures for both differential calculus and integral calculus, as well as methods for solving both first order and second order differential equations. The importance of logical thinking and proof is emphasised throughout. Applications of Algebra and Calculus (Advanced Higher) The general aim of the Unit is to develop advanced knowledge and skills that involve the application of algebra and calculus to real life and mathematical situations, including applications to geometry. Learners will acquire skills in interpreting and binomial theorem, the algebra of complex numbers, properties of functions, and rates of change. Aspects of sequences and series are introduced, including summations, proved by induction. Geometry, Proof and Systems of Equations (Advanced Higher) The general aim of the Unit is to develop advanced knowledge and skills that involve geometry, number and algebra, and to examine the close relationship between them. Learners will develop skills in logical thinking. The Outcomes cover matrices, vectors, solving systems of equations, the geometry of complex numbers, as well as processes of rigorous proof. How is your work assessed? Units are assessed internally by your teacher/lecturer in accordance with SQA guidelines. This course is assessed by a combination of internal assessment by the teacher and an external examination set and marked by the SQA. What prior qualifications do I need, if any, for entry to this course? A or B pass at Higher or entry at discretion of the Principal Teacher Maths