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Chapter 3 : Sets and Venn Diagrams. A. Serra. A. Set notation. Class work: Opening problem. Brainstorm ideas to solve it. Set, element or object, empty, finite, infinite sets. (proper) Subsets. Union and intersection. Disjoint or mutually exclusive. Individual work:
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Chapter 3:Sets and Venn Diagrams A. Serra
A. Set notation Class work: Opening problem. Brainstorm ideas to solve it. Set, element or object, empty, finite, infinite sets. (proper) Subsets. Union and intersection. Disjoint or mutually exclusive. Individual work: • Example 1: Do it & check your answer. • Exercise 3A: 1,3,5 • Extra: Exercise 3A: 2,4,6
B. Special number sets. CLASS WORK Natural or counting numbers, integers, positive integers, negative integers, rational numbers, irrational numbers, real numbers. Revise section A with these sets. INDIVIDUAL WORK • Examples 2,3: Do them & check your answer. • Exercises 3B.1: 1,3 • Exercises 3B.2: 1,3 • Extra: Exercise 3B even numbers.
C. Set builder notation. CLASS WORK The set of all x such that x is an integer between -3 and 2, excluding -3 and including 2 . A={ x/???,?} . Represent A in the number line. INDIVIDUAL WORK • Example 5 (do it & check) • Exercise 3C: 1, 3, 5 (odd numbers) • Extra: Exercise 3C even numbers.
D. Complements of sets. CLASS WORK U, the universal set in a given situation. The complement of A, denoted A’ (or sometimes in IB exams CA). Properties and Exercise 2 (page 103). INDIVIDUAL WORK • Examples 6, 7 and 8 (do & check) • Exercise 3D: 1,5 ,7, 9 (odd numbers except 3) • Extra: Exercise 3D (even numbers).
E. Venn diagrams. CLASS WORK Example. Subsets, Intersection, Union, Disjoin or mutual exclusive sets. Example: Exercise 3E2 (Page 107). INDIVIDUAL WORK • Examples 9 and 10 (do & check) • Exercise 3E: 1,3,5,7 (odd numbers ) • Extra: Exercise 3E (even numbers)
F. Venn diagram regions. CLASS WORK Shade Venn Diagram in Exercise 3F4. Page 109 INDIVIDUAL WORK • Example 11 (do & check) • Exercise 3F: 1, 3 • Extra: Exercises 3F (even numbers)
G. Numbers in Regions. CLASS WORK There are many situations in which we are only interested in the number of elements in a region (… probability). Exercise 3G.2 Page 111. INDIVIDUAL WORK • Example 12 (do & check) • Exercise 3G: 1, 3,5,7 • Extra: Exercises 3G (even numbers)
H. Problem solving with Venn diagrams. CLASS WORK Exercise 3H:8 page 115 INDIVIDUAL WORK • Examples 14, 15, 16 (do & check) • Exercise 3H: 1, 3, 7, 9 • Extra: Exercises 3H (even numbers)
Review • INDIVIDUAL WORK • Review Set 3A. (Do & check answers) • Extra: Review Set 3B • NEXT • Mock Test & End of Unit 3 test…. • Good luck