MATHEMATICS SKILLS, KNOWLEDGE, AND UNDERSTANDING National 5 understand and use mathematical concepts and relationships select and apply operational skills in algebra, geometry, trigonometry and statistics within mathematical contexts select and apply skills in numeracy use mathematical models use mathematical reasoning skills to interpret information, to select a strategy to solve a problem, and to communicate solutions Higher understand and use a range of complex mathematical concepts and relationships select and apply operational skills in algebra, geometry, trigonometry and calculus 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 COURSE STRUCTURE National 5 Course Structure: 3 Units and Course Assessment Mathematics: Expressions and Formulae Mathematics: Relationships Mathematics: Applications Higher Course Structure: 3 Units and Course Assessment Mathematics: Expressions and Functions Mathematics: Relationships and Calculus Mathematics: Applications COURSE ASSESSMENT National 5 Higher Course Assessment: Component 1 — question paper: Paper 1 (Non-Calculator) (40 marks) Component 2 — question paper: Paper 2 (50 marks) Course Assessment: Component 1 — question paper: Paper 1 (Non-Calculator) (60 marks) Component 2 — question paper: Paper 2 (70 marks) Question Paper: Paper 1 The purpose of this question paper is to assess mathematical skills without the aid of a calculator. Question Paper: Paper 1 The purpose of this question paper is to assess mathematical skills without the aid of a calculator. National 5 This question paper will give learners, without the aid of a calculator, an opportunity to apply numerical, algebraic, geometric, trigonometric, statistical and reasoning skills. These skills are those in which the learner is required to show an understanding of underlying processes. They will involve the ability to use numerical skills within mathematical contexts in cases where a calculator may compromise the assessment of this understanding. Higher It will consist of short-answer and extended response questions. 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. It 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. 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: Paper 2 The purpose of this question paper is to assess mathematical skills. A calculator may be used. Question Paper: Paper 2 The purpose of this question paper is to assess mathematical skills. A calculator may be used. This question paper will give learners an opportunity to apply numerical, algebraic, geometric, trigonometric, statistical and reasoning skills. These skills are those which may be facilitated by the use of a calculator allowing more opportunity for application. 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-answer 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. 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.