2_Computer Science Grade 10 Logical operations Data repr presentation 2 2 variant

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  • 02.05.2020
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Logical operations (disjunction, conjunction, inversion) 2 lesson

10.2.2.1 use logical operations (disjunction, conjunction, inversion)

An entry in a copybook

Logic is the science of forms and ways of thinking.
The main forms of thinking are the concept, statement (judgment), conclusion.
The concept is a form of thinking, which reflects the essential features of the object.
- Give the concept of a Desk, window, closet, lamp.
A statement is a form of thinking in which something is asserted or denied.
A statement can be either true or false.
Ex.: 2x2=4 (True), Astana is a capital of Italy (False).

Individual work.

Which of the following sentences are statements and WHY? Determine their truth.

a) The number 3 is even.
b) Aktau - the capital of Mangystau
c) Erase from the board.
d) This year marks the 25th anniversary of Kazakhstan's independence
e) Who is on duty today?
 

Explanation

From simple statements can be complex design. For example: from " Helen loves to dance" and "Helen – excellent student" you can get "Excellent student Helen loves to dance.«

2) From complex statements select simple:
a) Everyone is taught to read and write at school.
b) Tomorrow will be good weather and we will go on a tour.
c) It is not true that any ten–grader - an excellent student.

Individual work.

Make a conclusion

The conclusion - the conclusion of a new statement of the known old.
The first statement: Pascal Language is named after the French scientist Blaise Pascal.
The second statement: the Author of Pascal is Niklaus Wirth.
Third statement: B. Pascal in 1642 invented an adding machine.
3) Make a conclusion. (1 min)

Niklaus Wirth is the author of the language of Pascal, who is named after the French scientist and inventor of the French meter)

Work on the cards

Option 1.
1. Give the definition of logical multiplication (conjunction). Build a table of truth.
2. Select simple statements from the following complex statement: "I will go to Moscow, meet friends there, and we will have an interesting time. «Write down a complex statement in the form of a logical formula.
3. What is the value of the logical expression, if A=0, B=0, C=1?

Group work

Option 2.
1. Give the definition of logical addition (disjunction). Build a table of truth.
2. Select simple statements from the following complex statement: «the number 32 is divided by 4, divided by 2 and is even." Write down a complex statement in the form of a logical formula.
3. What is the value of the logical expression, if A=1, B=0, C=1?

Option 3.
1. Give the definition of logical negation (inversion). Build a table of truth.
2. Select simple statements from the following complex statement: «the Number 7 is simple, it is divided by one and by itself." Write down a complex statement in the form of a logical formula.
3. What is the value of the logical expression, if A=1, B=0, C=0?

Reflection

Logic definition

Basic forms of thinking

Names and symbols of logical functions

The truth table of NOT, AND, OR

Solving logic examples in graphical and algebraic notation

 

 

Put an assessment on a 3-point scale
(1 - I do not know, 2 - I understand, 3 - I apply)

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