ALEX Classroom Resource

  

16.1 And and Or Statements

  Classroom Resource Information  

Title:

 16.1 And and Or Statements

URL:

 https://flexbooks.ck12.org/cbook/ck-12-precalculus-concepts-2.0/section/16.1/primary/lesson/and-and-or-statements-pcalc/#

Content Source:

 Other
CK-12
Type: Informational Material

Overview:

This informational material will introduce students to logic statements containing and and or, the symbols to represent the logical connectives, and truth tables. There is a corresponding video available. Practice questions with a PDF answer key are provided. In addition, there is a self-checking online practice tool.

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 9-12
Applications of Finite Math
1. Represent logic statements in words, with symbols, and in truth tables, including conditional, biconditional, converse, inverse, contrapositive, and quantified statements.

Unpacked Content
Evidence Of Student Attainment:
Students:
  • Represent propositional statements using statement variables and logical operators.
  • Construct a truth table for a statement.
  • Construct conditional, biconditional, converse, inverse contrapositive, and quantified statements.
Teacher Vocabulary:
  • Proposition
  • Statement variables
  • Logical operators
  • Truth table
  • Negation
  • Conditional statement
  • Hypothesis/antecedent
  • Conclusion/consequent
  • Converse statement
  • Inverse statement
  • Contrapositive statement
  • Biconditional statement
  • Equivalent statements
Knowledge:
Students know:
  • How to determine if a simple statement is true or false.
Skills:
Students are able to:
  • Construct a truth table for propositions with a variety of operators.
  • Write a proposition using logical operators and statement variables such as p and q.
  • Write the converse, inverse, contrapositive and biconditional of a conditional statement using logical operators and statement variables.
Understanding:
Students understand that:
  • A conditional statement's validity is based on the validity of its components.
  • Truth tables must contain all possible assignments of true and false for each component.
  • A statement is either true or false.
Diverse Learning Needs:
Mathematics
MA2019 (2019)
Grade: 9-12
Applications of Finite Math
2. Represent logic operations such as and, or, not, nor, and x or (exclusive or) in words, with symbols, and in truth tables.
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Determine the appropriate logical operators needed to write a compound statement with symbols and statement variables.
  • Determine the truth value for each component of a compound statement and organize in a truth table.
Teacher Vocabulary:
  • Compound statement
  • Negation
  • Conjunction
  • Disjunction
Knowledge:
Students know:
  • A statement is either true or false.
  • A truth table must include every possible assignment of true and false for each component of a compound statement.
Skills:
Students are able to:
  • Construct a truth table for a compound statement.
  • Represent compound statements using statement variables and logical operators.
Understanding:
Students understand that:
  • The validity of the simple statements that make up a compound statement determine the compound statement's validity.
Diverse Learning Needs:
Tags: and, logic statement, logical connective, or, symbol, truth table
License Type: Custom Permission Type
See Terms: https://www.ck12info.org/terms-of-use/
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses
AccessibilityText Resources: Content is organized under headings and subheadings
Video resources: includes closed captioning or subtitles
Comments

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  This resource provided by:  
Author: Hannah Bradley
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