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      • Pupil Support Groups
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      • Meet Our Team
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advanced higher maths
ADVANCED HIGHER MATHEMATICS
What is Advanced Higher Maths? 
Mathematics at Advanced Higher provides the foundation for many developments in the sciences and in technology as well as having its own intrinsic value.
It is made up of three units of work:
  • Methods of Algebra and Calculus
  • Applications of Algebra and Calculus
  • Geometry, Proofs and Systems of Equations
 
The 3 units are mandatory and the course is assessed by an SQA.  Currently, the exam is one 3-hour paper.  For session 2019-2020, the exam will consist of 2 papers; a 1-hour non-calculator paper and a 2 hour 30 minute calculator paper.
 
Pupils studying Advanced Higher Maths will develop the following skills:
  • select and apply complex mathematical techniques in a variety of mathematical situations, both practical and abstract
  • extend and apply skills in problem solving and logical thinking
  • extending skills in interpreting, analysing, communicating and managing
  • information in mathematical form, while exploring more advanced techniques
  • clarify their thinking through the process of rigorous proof
 
The course develops and expands a range of mathematical skills. It allows the learner to develop further skills in calculus and algebra. Areas such as number theory (which helps keep the internet secure), complex numbers (the uses of which are ubiquitous, ranging from the solution of equations to the description of electronic circuits) and matrices (used in game theory and economics) are introduced. The learner’s mathematical thinking will also benefit from examples of rigorous proof.
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AH YouTube channel
​notebook_1_2020.pdfCourse Resources
The principle course resources are the Course Notebooks and Course Textbooks.  Notebooks contain the key learning points, worked examples and past exam question exercises.  The textbooks provide further examples and practice exercises.

AH COURSE PLAN
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​
COURSE NOTEBOOKS

The course notebooks include worked examples.

​NOTEBOOK 1
​
Binomial Theorem, Partial Fractions and Differentiation

NOTEBOOK 2
Sequences & Series, Complex Numbers, Systems of Equations and Matrices

NOTEBOOK 3
​
Vectors, Integration and Differential Equations

NOTEBOOK 4
​
Functions and Graphs, Applications of Calculus, Mathematical Proof and Number Theory

COURSE TEXTBOOKS
​The course textbooks are where you will find practise questions.

TEXTBOOK 1

Binomial Theorem, Partial Fractions, Differentiation, Sequences & Series and Complex Numbers

TEXTBOOK 2
Systems of Equations and Matrices
Vectors, Integration and Differential Equations


TEXTBOOK 3
Functions and Graphs, Applications of Calculus, Mathematical Proof and Number Theory

Video tutorials for many examples are available on the StAnd YouTube channel.
Other resources are provided via the class Edmodo page. 
​
Scholar login
AH Course Notes
File Size: 1104 kb
File Type: pdf
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AH Maths HSN Course Summary
File Size: 201 kb
File Type: pdf
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AH Maths Pocket Revision Sheet
File Size: 1785 kb
File Type: pdf
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AH Maths Formulae

SQA AH Maths Formulae Sheet
File Size: 577 kb
File Type: pdf
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AH Maths Formulae List All
File Size: 199 kb
File Type: pdf
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AH Maths Derivatives and Integrals Table
File Size: 47 kb
File Type: pdf
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ah_maths_trig_identities
File Size: 143 kb
File Type: ah maths trig identities
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ah_maths_standard_derivatives
File Size: 553 kb
File Type: ah maths standard derivatives
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ah_maths_standard_integrals
File Size: 373 kb
File Type: ah maths standard integrals
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AH Maths Specimen Paper

SQA AH Maths Specimen Paper
File Size: 1499 kb
File Type: pdf
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SQA AH Maths Exemplar Paper
File Size: 1457 kb
File Type: pdf
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SQA AH Maths Past Papers by Topic Grid

SQA AH Maths Past Papers by Topic Grid
File Size: 346 kb
File Type: pdf
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AH Maths 2015

SQA AH Maths 2015 Paper
File Size: 277 kb
File Type: pdf
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SQA AH Maths 2015 Marking Instructions
File Size: 622 kb
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SQA AH Maths 2015 Worked Solutions
File Size: 2954 kb
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AH Maths 2014

SQA AH Maths 2014 Paper
File Size: 338 kb
File Type: pdf
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SQA AH Maths 2014 Marking Instructions
File Size: 593 kb
File Type: pdf
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SQA AH Maths 2014 Worked Solutions
File Size: 547 kb
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AH Maths 2013

SQA AH Maths 2013 Paper
File Size: 238 kb
File Type: pdf
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SQA AH Maths 2013 Marking Instructions
File Size: 711 kb
File Type: pdf
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SQA AH Maths 2013 Worked Solutions
File Size: 353 kb
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AH Maths 2012

SQA AH Maths 2012 Paper
File Size: 176 kb
File Type: pdf
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SQA AH Maths 2012 Marking Instructions
File Size: 188 kb
File Type: pdf
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SQA AH Maths 2012 Worked Solutions
File Size: 228 kb
File Type: pdf
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AH Maths 2011

SQA AH Maths 2011 Paper
File Size: 264 kb
File Type: pdf
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SQA AH Maths 2011 Marking Instructions
File Size: 153 kb
File Type: pdf
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SQA AH Maths 2011 Worked Solutions
File Size: 288 kb
File Type: pdf
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AH Maths 2010

SQA AH Maths 2010 Paper
File Size: 183 kb
File Type: pdf
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SQA AH Maths 2010 Marking Instructions
File Size: 197 kb
File Type: pdf
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SQA AH Maths 2010 Worked Solutions
File Size: 4681 kb
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AH Maths 2009

SQA AH Maths 2009 Paper
File Size: 174 kb
File Type: pdf
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SQA AH Maths 2009 Marking Instructions
File Size: 81 kb
File Type: pdf
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SQA AH Maths 2009 Worked Solutions
File Size: 4781 kb
File Type: pdf
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AH Maths 2008

SQA AH Maths 2008 Paper
File Size: 151 kb
File Type: pdf
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SQA AH Maths 2008 Marking Instructions
File Size: 65 kb
File Type: pdf
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SQA AH Maths 2008 Worked Solutions
File Size: 5484 kb
File Type: pdf
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AH Maths 2007

SQA AH Maths 2007 Paper
File Size: 61 kb
File Type: pdf
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SQA AH Maths 2007 Marking Instructions
File Size: 179 kb
File Type: pdf
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SQA AH Maths 2007 Worked Solutions
File Size: 807 kb
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AH Maths 2006

SQA AH Maths 2006 Paper
File Size: 4587 kb
File Type: pdf
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SQA AH Maths 2006 Marking Instructions
File Size: 176 kb
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SQA AH Maths 2006 Worked Solutions
File Size: 1285 kb
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AH Maths 2005

SQA AH Maths 2005 Paper
File Size: 4587 kb
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SQA AH Maths 2005 Marking Instructions
File Size: 154 kb
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SQA AH Maths 2005 Worked Solutions
File Size: 1402 kb
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AH Maths 2004

SQA AH Maths 2004 Paper
File Size: 4587 kb
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SQA AH Maths 2004 Marking Instructions
File Size: 725 kb
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SQA AH Maths 2004 Worked Solutions
File Size: 2057 kb
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AH Maths 2003

SQA AH Maths 2003 Paper
File Size: 12621 kb
File Type: pdf
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SQA AH Maths 2003 Marking Instructions
File Size: 514 kb
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SQA AH Maths 2003 Worked Solutions
File Size: 138 kb
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AH Maths SQA Mixed Questions

ah_maths_sqa_question_bank
File Size: 2630 kb
File Type: ah maths sqa question bank
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AH Maths Past Papers Solutions You Tube

YouTube hosts videos of the AH Maths Past Papers search DLBMaths or click on the video below.

Useful Websites

Click here for Knox Academy Maths Department.
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