MATHEMATICS SKILLS, KNOWLEDGE, AND UNDERSTANDING Higher understand and use a range of complex mathematical concepts and relationships select and apply operational skills in algebra, geometry, trigonometry, calculus and statistics within mathematical contexts select and apply skills in numeracy use mathematical reasoning skills to extract and interpret information and to use complex mathematical models use mathematical reasoning skills to think logically, provide justification or proof and solve problems communicate mathematical information with complex features Advanced Higher the ability to use mathematical reasoning skills to think logically, provide justification and solve problems knowledge and understanding of a range of complex concepts the ability to select and apply complex operational skills the ability to use reasoning skills to interpret information and to use complex mathematical models the ability to effectively communicate solutions in a variety of contexts the ability to explain and justify concepts through the idea of rigorous proof the ability to think creatively COURSE STRUCTURE Higher Course Structure: 3 Units and Course Assessment Mathematics: Expressions and Functions Mathematics: Relationships and Calculus Mathematics: Applications Advanced Higher Course Structure: 3 Units and Course Assessment Methods in Algebra and Calculus Applications of Algebra and Calculus Geometry, Proof and Systems of Equations COURSE ASSESSMENT Higher Advanced Higher Course Assessment: Course Assessment: Component 1 – question paper: Paper 1 (non-calculator) (60 marks) Component 2 – question paper: Paper 2 (70 marks) Component 1 – question paper (100 marks) Higher Question Paper (non-calculator) This question paper will give learners, without the aid of a calculator, an opportunity to apply numerical, algebraic, geometric, trigonometric, calculus, and reasoning skills. These skills are those in which the candidate is required to show an understanding of underlying processes. They will involve the ability to use these skills within mathematical contexts in cases where a calculator may compromise the assessment of this understanding, such as in solving equations or working with indices, surds and logarithms. This question paper will consist of short and extended response questions. This question paper will be set and marked by SQA, and conducted in centres under conditions specified for external examinations by SQA. Learners will complete this in 1 hour 10 minutes. Question Paper This question paper will give learners an opportunity to apply numerical, algebraic, geometric, trigonometric, calculus, and reasoning skills. These skills are those which may be facilitated by the use of a calculator, allowing more opportunity for application and reasoning. This would typically involve situations where more complex calculations would be required to solve problems. This question paper will consist of short and extended response questions. This question paper will be set and marked by SQA, and conducted in centres under conditions specified for external examinations by SQA. Learners will complete this in 1 hour 30 minutes. Advanced Higher Question Paper The purpose of the question paper is to assess mathematical skills. A calculator may be used. The question paper will consist of a series of short and extended response questions (some of which may be set in contexts) that require the application of skills developed in the Course. Learners will be expected to communicate responses clearly and to justify solutions. The paper will have 100 marks. The question paper will be set and marked by SQA and conducted in centres under conditions specified for external examinations by SQA. Learners will complete this in 3 hours.