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Logical Reasoning I

Further Mathematics SS 2 Week WEEK .......... Preview
Lesson Details (Preview)

Week Range: ................... - ...................

Date: ...................

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Duration: 40 minutes minutes

Theme: Logic and Reasoning

Sub-topic: Logical Reasoning I: Statements, Negation, Conjunction, Disjunction

Learning Objectives (Preview)

By the end of the lesson, students should be able to:

  1. Define a logical statement and distinguish it from a non-statement
  2. Construct the negation of a given simple statement
  3. +2 more objectives in full version
Rationale (Preview)
Logical reasoning is the foundation of mathematical proof and computer science. This lesson introduces the basic building blocks of logic, which are e [Preview only]
Presentation Steps (Preview)
Step / Time Teacher's Activities Student's Activities Learning Points
Step 1: 5 minutes - Introduction
Introduce the concept of a 'statement' as a sentence that is either true or false, but not both. Giv [Preview only]
Students listen and identify statements from the given list.
A statement must have a definite truth value.
Step 2: 10 minutes - Negation and Conjunction
Define negation ($\sim p$) as the opposite of a statement $p$. Define conjunction ($p \land q$) as t [Preview only]
Students write the negation of given statements and form conjunctions.
Negation flips the truth value; conjunction requires both parts to be true.
+3 more steps in full version
Student Note (Preview)
1,600 characters total — showing first 400
## Logical Reasoning I **What is Logical Reasoning?** Logical reasoning uses rules to determine if a statement is true or false. It is the basis of many mathematical proofs and computer systems. **Key Points** 1. A **statement** is a sentence that is either true ($T$) or false ($F$). 2. **Negation** ($\sim p$) is the opposite of a statement $p$. 3. **Conjunction** ($p \land q$) is true only if bot [Preview only]

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