CfE Advanced Higher Maths

The Advanced Higher Course extends learners’ mathematical knowledge in algebra, geometry and calculus. It includes matrix algebra, complex numbers and vectors and formalises the concept of mathematical proof.

Advanced Higher Mathematics emphasises the need for candidates to undertake extended thinking and decision making, to solve problems and integrate mathematical knowledge. The course offers candidates, in an interesting and enjoyable manner, an enhanced awareness of the range and power of mathematics.

 

Entry to the course

This is at the discretion of the school, but you would normally be expected to have attained a pass in the Higher Maths Exam.

 

Course Outline

Term

Topics

Resources

June

Differentiation 1

pdf iconDifferentiation 1 Summary

Euclidian Algorithm

pdf iconDivision & Euclidian Algorithm Summary

Matrices & Gaussian Elimination

pdf iconMatrices and Gaussian Elimination Summary

 

Term

Topics

Resources

August – October

Binomial Theorem

pdf iconBinomial Theorem Summary

Differentiation 2

pdf iconDifferentiation 2 Summary

Differentiation Problems in Context

pdf iconDifferentiation in Context Summary

Vectors

pdf iconVectors Summary

 

Term

Topics

Resources

October – December

AH Unit 1 Assessment

  Assessment

Partial Fractions

pdf iconPartial Fractions Summary
 http://www.mathsisfun.com/algebra/partial-fractions.htmlweb icon 2

Integration

pdf iconIntegration Summary

Complex Numbers

pdf iconComplex Numbers Summary

Differential Equations

pdf iconDifferential Equations Summary

 

Term

Topics

Resources

January – March

AH Unit 2 Assessment

  Assessment

Arithmetic & Geometric Sequences

pdf iconSequences & Series Summary

Prelim

   Exam

Proofs

pdf iconProofs Summary

MacLaurins Series

pdf iconMacLaurin Series Summary

Functions

pdf icon

AH Unit 3 Assessment

   Assessment

 

Formulae List

AH Maths EXAM Formulae List

Advanced Higher Formulae in the Course

Assessment

To gain the overall award students must pass an asessment at the end of each unit as well as an external assessment.

The SQA external exam is a 3 hour paper, a calculator may be used in the exam.

In January pupils will sit a prelim exam that coveres units 1 & 2. Pupils will also sit a top-up prelim prelim in Arpil, this will cover a range of topics from units 1, 2 & 3.

 

Course Summary

Click on the link for a full course summary.

http://www.hsn.uk.net/resources/Advanced-Higher-Maths

 

Past Papers & Marking Instructions

 

 Exam Paper

 Making Guildelines

2016 Advanced Higher Maths Exam 2016 Advanced Higher Maths Marking Instructions
2015 Advanced Higher Maths Exam 2015 Advanced Higher Maths Marking Instructions
2014 Advanced Higher Maths Exam 2014 Advanced Higher Maths Marking Instructions
 2013 Advanced Higher Maths Exam  2013 Advanced Higher Maths Marking Insrtuctions
 2012 Advanced Higher Maths Exam  2012 Advanced Higher Maths Marking Instructions
 2011 Advanced Higher Maths exam  2011 Advanced Higher Maths Marking Instructions
 2010 Advanced Higher Maths Exam  2010 Advanced Higher Maths Marking Instructions
 2009 Advanced Higher Maths Exam  2009 Advanced Higher Maths Marking Instructions
 2008 Advanced Higher Maths Exam  2008 Advanced Higher Maths Marking Instructions
 2007 Advanced Higher Maths Exam  2007 Advanced Higher Maths Marking Instructions
 2006 Advanced Higher Maths Exam  2006 Advanced Higher Maths Marking Instructions
 2005 Advanced Higher Maths Exam  2005 Advanced Higher Maths Marking Instructions
 2004 Advanced Higher Maths Exam  2004 Advanced Higher Maths Marking Instructions
 2003 Advanced Higher Maths Exam  2003 Advanced Higher Maths Marking Instructions
 2002 Advanced Higher Maths Exam  2002 Advanced Higher Maths Marking Instructions

 

Useful Websites

Course notes, practice exercises and assessments – http://scholar.hw.ac.uk/Scotland/

Past papers & marking instructions – http://www.sqa.org.uk/pastpapers/findpastpaper.htm?subject=Mathematics&level=AH