Constructing_Truth _Tables_ Data repr method instructions 2 variant

Methodological Instructions

Theme: Constructing truth tables

Objective: 10.2.2.2 construct truth tables for the given logical expression

Assessment criteria

·        Consider the algorithm for constructing truth tables

·        Teach to construct a truth table

Basic Level:

From a grade 7–9 course, students have an idea of logical operations and truth tables.

Key words and phrases:

Truth tables, logic gates, Boolean gates and statements, NOT, OR, AND, NAND, NOR, built, express, true, false

Dictionary of specific terms and terminology:

•      We can build / express (this) in Boolean statements.

•      How can we build / express (this) in Boolean statements.

•      How can we express … as a Boolean statement?

•      When … is not true / true / false, is true / not true / false.

•      In this statement, … means …

I.                   THEORY

We can represent the truth of expressions in a tabular form called “truth tables.”  These tables consider all cases and can add great insight into otherwise complicated expressions.  Here are examples of some of most basic truth tables.

The truth table for negation (“not”)

The truth table for disjunction (“or”)

П. TESTS AND ASSIGNMENTS FOR SELF-ASSESSMENT.

1. Construct truth tables for the following logical expressions and determine the value of the logical expression for the given variable values

1. F= А ˅ В ˄ ØС , if А=1, В=1, С=1
2. F= Ø (А ˅ В ˄ С), if А=0, В=1, С=1
3. F= (A v B) ˄ (ØA v ØB), if А=1, В=0, С=1
4. F= (А ˅ В) ˄ (С v В), if А=0, В=1, С=0
5. F= Ø(A ˄ B ˄ C), if А=0, В=0, С=1

2. Draw the Logic Circuit diagram for the Boolean expressions given.

3. Complete the truth table for the system from exercise 1

4. Complete the truth table for the following system

Picture 1.

VISUAL AIDS AND MATERIALS.

1.          Slides

2.          Video resource https://www.youtube.com/watch?v=N5VBSWRRdUw&

3.          Truth table: https://www.youtube.com/watch?v=N44NDlFcyVA

4.          https://www.youtube.com/watch?v=GFUiniPj_r8

5.          Differentiation material: https://www.youtube.com/watch?v=IF7Blq2TT6s

6.          https://www.csus.edu/indiv/n/nogalesp/HonorsCriticalThinking/CTHonorsWk1011De uctiveSentential/Phil4TTForSentenceConnectives.doc

7.          Online game https://logic.ly/demo/

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