Introduction to Group Theory - Further maths A level A2 Discrete

These PowerPoints form full lessons of work that together cover the full A level Further Maths course for the AQA exam board. Together all the PowerPoints include;
• A complete set of notes for students
• Model examples
• Probing questions to test understanding
• Class questions including answers
• Individual whiteboard work
• Links to exercises in ‘AQA approved textbooks by Hodder ed’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
Videos of the lessons are all on You Tube so you can see the PowerPoint lessons fully first
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Introduction to Group Theory topics covers;

• Understand and use the language of groups including:
  * order
  * period
  * subgroup
  * proper
  * trivial
  * non-trivial
• Understand and use the group axioms: closure, identity, inverses and associativity
• Use of Cayley tables
• Understand and use Lagrange’s theorem.
• Recognise and use finite and infinite groups and their subgroups, including: groups of symmetries of regular polygons, cyclic groups and abelian groups.
• Identify and use the generators of a group
• Recognise and find isomorphism between groups of finite order