About this topic
Before you begin
Represent sets with Venn diagrams and organise quantities in matrices, checking row meanings and dimensions before calculating.
Learning goals
- Distinguish membership, inclusion and proper inclusion
- Produce set unions, intersections, complements and their sizes
- Match Venn regions with set expressions
- Place every element in its two-set Venn region
- Represent sets and reason with set notation
- Represent data and calculate with matrices
- Arrange labelled data in a matrix in the stated row and column order
- Interpret a matrix's order, entries and row and column meanings
- Multiply every entry of a matrix by a scalar
- Decide dimensional compatibility and add matrices entry by entry
- Decide dimensional compatibility and produce ordered matrix products
Syllabus statements covered
- Use of set language and notation: A ∪ B, A ∩ B, n(A), ∈, ∉, A′, ∅, universal set ξ, A ⊆ B, A ⊈ B, A ⊂ B, A ⊄ B
- Union and intersection of two sets
- Venn diagrams
- Display of information in the form of a matrix of any order
- Interpreting the data in a given matrix
- Product of a scalar quantity and a matrix
- Problems involving the calculation of the sum and product (where appropriate) of two matrices
- Use of set language and the following notation: Union of A and B A∪B Intersection of A and B A∩B Number of elements in set A n(A) “... is an element of ...” ∈ “... is not an element of ...” ∉ Complement of set A A′ The empty set ∅ Universal set ξ A is a subset of B A⊆B A is a not a subset of B A⊈B A is a (proper) subset of B A⊂B A is a not a (proper) subset of B A⊄B
- Union and intersection of two sets
- Venn diagrams
- Display of information in the form of a matrix of any order
- Interpreting the data in a given matrix
- Product of a scalar quantity and a matrix
- Problems involving addition, subtraction and multiplication of matrices
Choose a lesson
Work through them in order.