I have used this resource a few times with my classes to cover the whole topic of groups. This 24-page worksheet covers all the required knowledge and skills for FP3.
Each section starts with introductory notes or examples, followed by an exercise for students to attempt.
The sections are:
1. Sets, binary operations, closed/commutative/closed operations, identity elements and inverses.
2. Groups - definition of a group, order of a group, group tables
3. Multiplicative groups and cancellation laws
4. Groups using modular arithmetic
5.Symmetries of shapes
6. The order of an element
7. Cyclic groups and generators
8. Subgroups
9. Lagrange's theorem
10. Isomorphic groups
The completed worksheet with all notes, examples and exercises completed (with fully-worked solutions) is also included.
Each section starts with introductory notes or examples, followed by an exercise for students to attempt.
The sections are:
1. Sets, binary operations, closed/commutative/closed operations, identity elements and inverses.
2. Groups - definition of a group, order of a group, group tables
3. Multiplicative groups and cancellation laws
4. Groups using modular arithmetic
5.Symmetries of shapes
6. The order of an element
7. Cyclic groups and generators
8. Subgroups
9. Lagrange's theorem
10. Isomorphic groups
The completed worksheet with all notes, examples and exercises completed (with fully-worked solutions) is also included.
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£4.00