CfE Higher Maths

 

The Higher Course in Mathematics develops learners’ mathematical rigour and the ability to use precise and concise mathematical language assumes a particular importance at this stage.

 

Candidates who complete a Higher Mathematics course successfully are expected to have a competence and a confidence in applying mathematical techniques, manipulating symbolic expressions and communicating with mathematical correctness in the solution of problems.

 

The course has obvious relevance for candidates with interests in fields such as commerce, engineering and science where the mathematics learned will be put to direct use.

 

Entry to the course


This is at the discretion of the school, but you would normally be expected to have attained a pass in
 National 5 Mathematics.

 

Course Outline

Term

Topics

Resources

June

Straight Line

 pdf iconStraight Line Summary
pdf iconStraight Line Mind Map
Video-IconVideo – Graient of a Line
Video-IconVideo – Midpoint and Distance Formulae
Video-IconVideo – Equation of a Straight Line
Video-IconVideo – Altitudes, Medians and Perpendicular Bisectors
Video-IconVideo – Intersecting Lines
web icon 2HSN Study Notes (http://www.hsn.uk.net/resources/HSN21100)

Quadratics

 pdf iconQuadratics Summary
pdf iconQuadratic Function Mind Map
web icon 2 HSN Study Notes (http://www.hsn.uk.net/resources/HSN22100)

 

Term

Topics

Resources

August – October

Polynomials

 pdf iconPolynomials Summary
pdf iconPolynomials Mind Map
 web icon 2HSN Study Notes (http://www.hsn.uk.net/resources/HSN22100)

Functions

 pdf iconFunctions Summary
pdf iconFunctions Mind Map
 web icon 2HSN Study Notes (http://www.hsn.uk.net/resources/HSN21200)

Differentiation 1

 pdf iconDifferentiation 1 Summary
pdf iconDifferentiation Mind Map
 web icon 2HSN Study Notes (http://www.hsn.uk.net/resources/HSN21300)

Trigonometric Equations

 pdf iconTrigonometric Equations Summary
 .
 .

 

Term

Topics

Resources

October – December

Vectors

 pdf iconVectors Summary
 pdf iconVectors Mind Maps
 web icon 2HSN Study Notes (http://www.hsn.uk.net/resources/HSN23100)

Differentiation 2

 pdf iconDifferentiation 2 Summary
 pdf iconDifferentiation Mind Map
 web icon 2HSN Study Notes (http://www.hsn.uk.net/resources/HSN23200)

Trig –

Addition/Double

Angle Formulae

 pdf iconAddition & Double Angle Formulae Summary
Video-IconVideo – Proving the Addition Formulae
Video-IconVideo – Easy Proof of Double Angle Formula
 pdf iconTrig – Equations & Formulae Mind Map
 web icon 2HSN Study Notes (http://www.hsn.uk.net/resources/HSN22300)

Logs & Exponential

 Epdf iconxponential & Logarithmis Functions Summary
 pdf iconLog & Exponential Mind Map
 web icon 2HSN Study Notes (http://www.hsn.uk.net/resources/HSN23300)

 

Term

Topics

Resources

January – March

Integration 1

 Integration 1 Summarypdf icon
 pdf iconIntegration Mind Map
 web icon 2HSN Study Notes (http://www.hsn.uk.net/resources/HSN22200)

Circles

 pdf iconThe Circle Summary
 pdf iconThe Circle Mind Map
 web icon 2HSN Study Notes (http://www.hsn.uk.net/resources/HSN22400)

Trig – Wave Function

 pdf iconThe Wave Function Summary
 pdf iconWave Function Mind Map
 web icon 2HSN Study Notes (http://www.hsn.uk.net/resources/HSN23400)

Integration 2

 pdf iconIntegration 2 Summary
 Ipdf iconntegration Mind Map
 .

Recurrence Relations

 Recurrence Relations Summarypdf icon
 pdf iconRecurrence Relations Mind Map
 web icon 2HSN Study Notes (http://www.hsn.uk.net/resources/HSN21400)

 

Course Summary and Self-Assessment Booklet

Higher Course Summary & Self Assessment Booklet

 

Homework

Homework is an essential part of the course. Homework will often take the form of completion of exercises started in class. Pupils will also be issued with regular homework exercises, these exercises will be marked by the class teacher.

Higher HW Booklet

 

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 consists of 2 papers – one calculator, one non-calculator.

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

 

Progression

Successful completion of this course may lead to further study at Advanced Higher level.

 

Consolidation Pack

The consolidation pack provides the opportunity to revise some of the keys skills from the Credit or Intermediate 2 courses that are required for Higher Maths.

Higher Consolidation Pack – Key Questions

Higher Maths Consolidation Pack

 

Past Papers

 

 PAST PAPER

 MARKING GUIDELINES

2016 Higher Exam

2016 Higher Marking

2015 Higher Exam

2015 Higher Marking

2014 Higher Exam

2014 Higher Marking

 2013 Higher Exam

 2013 Higher Marking

 2012 Higher Exam

 2012 Higher Marking

 2011 Higher Exam

 2011 Higher Marking

 2010 Higher Exam

 2010 Higher Marking

 2009 Higher Exam

 2009 Higher Marking

 2008 Higher Exam P1

2008 Higher Exam P2

 2008 Higher Marking

 2007 Higher Exam P1

2007 Higher Exam P2

 2007 Higher Marking P1

2007 Higher Marking P2

 2006 Higher Paper 1

2006 Higher Paper 2

 2006 Higher Marking P1

2006 Higher Marking P2

 2005 Higher Paper 1

2005 Higher Paper 2

 2005 Higher Marking

 2004 Higher Paper 1

2004 Higher Paper 2

 2004 Higher Marking

 2003 Higher Paper 1

2003 Higher Paper 2

 2003 Higher Marking

 2002 Higher Paper 1

2002 Higher Paper 2

 2002 Higher Marking

 2001 Higher Paper 1

2001 Higher Paper 2

 2001 Higher Solutions

 2000 Higher Paper 1

2000 Higher Paper 2

 2000 Higher Marking

 

Useful Websites

 

Mr Graham has produced video tutorials to help with a range of topics. – www.mrgrahammaths.wordpress.com

 

http://www.mathsrevision.com/index_files/Higher.htm

 

Course notes, summary sheets and specimen assesments  –  http://www.hsn.uk.net/resources/Higher-Maths/

 

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=H

 

Revision notes, videos and assessments  –  http://www.bbc.co.uk/scotland/learning/bitesize/higher/maths/

 

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