Skills, Knowledge, and Understanding

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MATHEMATICS
SKILLS, KNOWLEDGE, AND UNDERSTANDING
Higher
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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
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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
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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.
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