MATHEMATICS OF MECHANICS
SKILLS, KNOWLEDGE, AND UNDERSTANDING
Higher Mathematics
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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 Mathematics of Mechanics
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knowledge and understanding of a range of straightforward
and complex concepts in mechanics
the ability to identify and use appropriate techniques in
mechanics
the ability to use mathematical reasoning and operational skills
to extract and interpret information
the ability to create and use multifaceted mathematical
models
the ability to communicate identified strategies of solution and
provide justification for the resulting conclusions in a logical
way
the ability to comprehend both the problem as a whole and its
integral parts
the ability to select and use numerical skills
COURSE STRUCTURE
Higher Mathematics
Course Structure: 3 Units and Course Assessment
Mathematics: Expressions and Functions
Mathematics: Relationships and Calculus
Mathematics: Applications
Advanced Higher Mathematics of Mechanics
Course Structure: 3 Units and Course Assessment
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Linear and Parabolic Motion
Force, Energy and Periodic Motion
Mathematical Techniques for Mechanics
COURSE ASSESSMENT
Higher Mathematics
Advanced Higher Mathematics of Mechanics
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 Mathematics
Advanced Higher Mathematics of Mechanics
Question Paper (non-calculator)
Question Paper
This question paper will give learners, without the aid of a calculator,
an opportunity to apply numerical, algebraic, geometric,
trigonometric, calculus, and reasoning skills.
The purpose of the question paper is to assess mathematical skills
and their application to mechanics. A calculator may be used.
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.
The question paper will consist of a series of short and extended
response questions (most of which will 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.