Subsets and Complements in Core Mathematics (SHS 1)

Subsets and Complements form an essential part of SHS 1 Core Mathematics under the strand “Numbers for Everyday Life – Real Number System.” This course provides a structured and curriculum-aligned treatment of the topic to help learners build strong foundational knowledge in set theory.

Students will explore the relationship between sets and understand how to correctly use subset notation (⊆), proper subset notation (⊂), and complement notation (A′ or Ac). The lesson clearly explains the difference between a subset, proper subset, improper subset, and situations where a set is not a subset of another.

A key highlight of this course is learning how to calculate the total number of subsets of any finite set using the formula 2ⁿ, where n represents the number of elements in the set. Step-by-step worked examples are provided to guide learners through listing subsets and solving structured examination-style questions.

The concept of complements is also treated in detail. Students will learn how to identify the universal set and determine the complement of a given set using the formula:

A′ = U − A

Throughout the lesson, practical examples, guided exercises, and self-assessment questions are included to reinforce understanding and prepare students for WASSCE examinations.

By the end of this course, learners will be able to confidently:

• Define and apply subset notation correctly
• Distinguish between proper and improper subsets
• Calculate total subsets using 2ⁿ
• Determine complements within a universal set
• Solve structured Core Mathematics questions accurately

This course is ideal for SHS 1 students, private candidates, and teachers seeking a well-organized teaching resource.