Data Storage and Manipulation · SHS2 Computing

Lesson notes

Learning Objectives

Indicator: 2.1.1.LI.2 - Apply the Concepts of Boolean Expressions to simplify complex circuits

By the end of the lesson, learners can:

State the Boolean laws and identities (Commutative, Associative, Distributive, Identity, Dominance, Complement, and De Morgan’s Theorems) and explain what each law does.
Translate a given logic circuit diagram into its corresponding Boolean expression.
Apply Boolean laws and identities step by step to simplify a complex Boolean expression.
Verify that a simplified Boolean expression produces the same truth table output as the original complex expression.
Construct a simpler logic circuit from a simplified Boolean expression using the fewest possible gates.

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Curriculum details

Strand: Computer Architecture & Organisation (Strand 1)
Sub-strand: Data Storage and Manipulation (1.1)
Content standard: 2.1.1.CS.1 - Demonstrate knowledge and understanding of Programme Execution and Logic Instructions 2.1.1.LO.1 Develop knowledge and skills in implementing and applying programme execution and logic instructions effectively.
Indicator: 2.1.1.LI.2 - Apply the Concepts of Boolean Expressions to simplify complex circuits
Suggested placement: Semester 1, Week 2 (Week 2 of the year)
Our suggestion, laid out in curriculum order across three terms of twelve weeks. NaCCA does not fix the week, so follow your school's scheme of learning.
Curriculum reference: NaCCA curriculum document, p. 51

Exemplars (from the NaCCA curriculum)

Group Work/Collaborative Learning:
- Utilise interactive presentations, video analysis, and debates by dividing the class into mixedability groups. Task the groups with applying the Concepts of Boolean Expressions to simplify complex circuits. Ensure the groupings foster inclusivity and equity by considering the needs of individuals with visual impairment, dyslexia, dysgraphia, and other diverse learning needs.
Teaching and Learning Materials:
- * Notepad or exercise book * Pen * Smartphones * Laptops
- * Desktop computers * Tablets * TV and Radio
- Open Educational Resources (including YouTube, MOOCs -
- Udemy/Coursera, Khan Academy, and TESSA)
- * The iBox/iCampus (CENDLOS) * Productivity tools ix. Subject-based application software
- Instructional Laboratories (with multimedia equipment and smartboards)
- Maintenance and repair workshops
Assessment (2.1.1.AS.2). The document marks these depth-of-knowledge levels for this indicator: Level 4 Extended critical thinking and reasoning.