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Topic 1: Identifying elements of sets for a real world situation Topic 2: Writing sets of numbers using descriptive and roster forms Problem 1: Write the set of even numbers between 1 and 10 in both descriptive and roster forms. Problem 2: Express the set of odd natural numbers less than 8 in descriptive form and roster form. Topic 3: Writing sets of natural numbers using set-builder and roster forms Problem 1: Write the set of natural numbers less than 6 using set-builder notation and roster form. Problem 2: Express the set of natural numbers greater than 3 but less than 10 in set-builder and roster forms. Topic 4: Writing sets of integers using set-builder and roster forms Problem 1: Roster form: {15, 16, 17}. Find set-builder form. Problem 2: Set-builder form: {x | x is a natural number and x >5}. Find roster form. Topic 5: Identifying well defined sets

	Yes	No
The set containing the sitcom most watched by men and the sitcom least watched by women in the Friday night line-up	X
The set containing only the show in the Friday night line-up with the best dressed actors		X
The set of the two most watched shows overall in the Friday night line-up	X
The set containing only the show in the Friday night line-up with the best cast		X
The set of the first three shows to air according to the Friday night schedule	X

Topic 6: Membership and cardinality of sets Topic 7: Identifying infinite sets and determining cardinalities of finite sets Topic 8: Identifying equivalent and equal sets Topic 9: Identifying equivalent and equal sets for a real-world situation Topic 10: Identifying true statements involving subsets and proper subsets Topic 11: Writing subsets Problem 1: List all subsets of the set {x, y}. Include the empty set and the set itself. Problem 2: Write all subsets of the set {1, 2, 3}. Ensure all possible subsets are included. Topic 12: Writing subsets for a real-world situation Problem 1: A menu offers toppings {cheese, pepperoni}. List all possible subsets of toppings for a pizza order. Problem 2: For a set of activities {swim, run, bike}, write all subsets representing possible combinations of activities. Topic 13: Determining the total number of subsets of a set Problem 1: Find the total number of subsets of the set {a, b, c, d, e, f}. Use the formula 2^n and verify by listing. Problem 2: Calculate the number of subsets of the set {1, 2, 3, 4, 5, 6, 7}. Confirm using the formula 2^n. Topic 14: Determining the number of subsets for a real-world situation Problem 1: A club with 8 members forms committees. How many possible committees (subsets) can be formed? Use the subset formula. Problem 2: A store offers 4 flavors {chocolate, vanilla, strawberry, mint}. How many subsets of flavors are possible for an ice cream order? Topic 15: Finding sets and complements of sets Problem 1: Given the universal set U = {1, 2, 3, 4, 5} and A = {2, 4}, find the complement of A. List the elements. Problem 2: For U = {a, b, c, d} and B = {a, c}, compute the complement of B in U. Topic 16: Finding sets and complements of sets for a real-world situation Problem 1: In a class of students U = {Alice, Bob, Carol, Dave}, let A = {Alice, Carol} be students who passed a test. Find the complement of A (students who did not pass). Problem 2: For a set of fruits U = {apple, banana, orange, pear} and B = {apple, pear} as fruits in stock, find the complement of B (fruits not in stock). Topic 17: Union and intersection of finite sets Problem 1: Given A = {1, 2, 3} and B = {2, 4, 6}, find A ∪ B and A ∩ B. List the elements of each. Problem 2: For U = {A, B ,C D, E, F}, C = {A, B, C} and D = {B, C, D}, compute C’ ∪ D. Topic 18: Unions, intersections, and complements involving 2 sets Problem 1: Given U = {1, 2, 3, 4, 5}, A = {1, 3, 5}, and B = {2, 3, 4}, find (A ∩ B)’. Problem 2: For U = {a, b, c, d, e}, C = {a, c, e}, and D = {b, c, d}, compute C ∪ D, C ∩ D, and the complement of D. Topic 19: Unions and intersections involving the empty set or universal set Problem 1: Given U = {1, 2, 3} and A = {1, 2}, find A ∪ ∅. Problem 2: For U = {a, b, c} and B = {a}, compute B ∩ U. Topic 20: Writing sets for a real-world situation using descriptive and roster forms