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Grades 7- DAILY LESSON PLAN School Mat-i National High School Grade Level 08 Teacher Mary Ann V. Galido Learning Area Mathematics Teaching Dates and Time February 27, 2024 (10:00-11:00, 11:00-12:00 and 2:00-3:00) Quarter 3 I. OBJECTIVES A. Content Standards The learner demonstrates key concepts of logic and reasoning. B. Performance Standards The learner is able to communicate mathematical thinking with coherence and clarity in formulating and analyzing arguments. C. Learning Competencies/ Objectives Write the LC code for each The learner determines the inverse, converse, and contrapositive of an if-then statement. (M8GE-IIg-1) D. Specific Learning Objectives At the end of 60 minutes, 80% of the learners are expected to: a. Determine an inverse, converse, and contrapositive of a conditional (if- then) statement; b. Classify the statement as inverse, converse, or contrapositive of conditional (if-then) statement; c. Relate the inverse, converse, and contrapositive of conditional (if-then) statement to real-life situations. II. CONTENT INVERSE, CONVERSE AND CONTRAPOSITIVE OF AN IF-THEN STATEMENT III. LEARNING RESOURCES A. References
- Teacher’s Guide pages General Mathematics: Teacher’s Guide, page 155-
- Learner’s Materials pages General Mathematics Quarter 2– Module 11: “Determining the Inverse, Converse and Contrapositive of an If-then Statement”
- Textbook pages None
- Additional Materials from Learning Resource (LR) portal None B. Other Learning Resources IV. PROCEDURES A. Preparatory Activity Good morning class! Let us check your attendance first. Say present when your name is called. Last meeting, we discuss about transforming a statement into an Equivalent if-then statemen. Let us try to answer this. Good morning, Ma’am Student will say present.
- If you are a second-year
- A second-year student is a sophomore.
- A number is divisible by 2 and 3 when it is divisible by 6.
- People with good body figure are models. student, then you are a sophomore.
- If a number is divisible by 2 and 3, then it is divisible by 6.
- If people have good body figure, then they are models. B. Activity Let’s have a group activity. Cout 1-5. I will post a scenario and tell me whether the statement is true or false by raising the cue card. Are you ready?
- If you live in Agusan del Norte , then you live in Mindanao.
- If you live in Mindanao , then you live in Agusan del Norte.
- If you do not live in Agusan del Norte , then you do not live in Mindanao.
- If you do not live in Mindanao, then you do not live in Agusan del Norte.
- If you are a guitar player , then you are a musician.
- If you are a musician , then you are a guitar player.
- If you are not a guitar player , then you are not a musician.
- If you are not a musician , then you are not a guitar player. Students will group themselves into
Yes, Ma’am.
- True
- False
- False
- True
- True
- False
- False
- True C. Analysis Based on the activity, how does statement 1 relate to the given statement 2-4 and statement 4 relate to the given statement 6-8? Very good! Gove 3 claps to everyone. Statement #2 and #6 changed when the hypothesis is written first followed by the conclusion for statement #1 & 6 respectively. And for #3-4 and #6- 8, it is negating (writing “not”) of the statement. (Students will clap 3 times ) D. Abstraction Before we could start our discussion, kindly read the learning objectives for todays class. Thank you, class. Let us discuss our topic converse, inverse and contrapositive statement. What is converse statement? Everybody read. At the end of 60 minutes, 80% of the learners are expected to: a. Determine an inverse, converse, and contrapositive of a conditional (if-then) statement; b. Classify the statement as inverse, converse, or contrapositive of conditional (if-then) statement; c. Relate the inverse, converse, and contrapositive of conditional (if-then) statement to real-life situations. The converse of a conditional statement is formed by interchanging hypothesis and the conclusion.
true statement or false? How about this? What is the inverse statement, “ If it is my birthday, then I get cake. ”? Very good! Any questions so far for converse and inverse? Next, what is contrapositive statement? Everybody read. In other words, we will use the inverse and interchange the p and q afterwards. Give me the contrapositive statement given the inverse statement: “If a polygon is a pentagon, then it has five sides” Very good! Now, let’s interchange the hypothesis and conclusion. Correct! Now let us identify whether the contrapositive is a true statement or a false statement. Correct. Another example for inverse statement, “ If it is not my birthday, then I do not have cake”. Give me the contrapositive statement and tell me whether the statement is true or false statement.
Conditional If p , then q p q
Inverse If not p ,
then not q p^ →^ q
Converse If q , then p q → p
Contrapositive If not q , then not p
q → p
Based on our example. We came up with this different statement. Conditional If a polygon has five sides, then it is a pentagon. Converse If it is a pentagon, then a polygon has five sides. Inverse If a polygon has no five sides, then it is not a pentagon. Contrapositive If it is not a pentagon, then a polygon has no five sides Conditional If it is my birthday, then I get cake. Converse If I get cake, then it is my birthday. Inverse If it is not my birthday, then I do not get cake. Contrapositive If I do not get cake, then it is not my birthday. Inverse statement: If it is not my birthday, then I do not have cake. None so far Ma’am. The contrapositive of a conditional statement is formed by first negating both hypothesis and conclusion then interchanging them. Contrapositive statement: If a polygon is not a pentagon, then it has no five sides. Contrapositive statement is a true statement. Contrapositive statement: If I do not get cake, then it is not my birthday. It is a true statement.
This is the truth table where it provides a method for mapping out the possible truth values in an expression and to determine their outcomes. Let us have an example. Given this conditional statement, If you drink water, then you obey your thirst. give me the converse, inverse and contrapositive. Another example. Give me the converse, inverse and contrapositive given the conditional statement, “If a shape is a square, then it is a rectangle ”. Another example. Give me the converse, inverse and contrapositive given the conditional statement, “ If you have symptoms of COVID-19, then you need to get a medical care ” Give 5 claps to everyone! Any questions class? Let’s do recall. What is converse statement? How about inverse statement? Lastly, what is contrapositive? Converse : If you obey your thirst, then you drink water. Inverse : If you do not drink water, then you do not obey your thirst. Contrapositive : If you do not obey your thirst, then you do not drink water. Converse : If a shape is rectangle, then it is a square. Inverse : If a shape is not square, then it is not a rectangle. Contrapositive : If a shape is not a rectangle, then it is not a square. Converse : If you need to get a medical care, then you have symptoms for COVID-. Inverse : If you don’t have a symptom of COVID-19, then you don’t need to get a medical care. Contrapositive : If you don’t need to get a medical care, then you don’t have a symptom of COVID-. (Students will clap 5 times) None so far Ma’am. Converse statement is formed by interchanging hypothesis and the conclusion Inverse statement is formed by negating both hypothesis and conclusion. Contrapositive statement is formed by first negating both hypothesis and conclusion then interchange them. E. Application Group yourself into 5 groups. Each group will assign to answer the questions. Identify the conditional, inverse, converse and contrapositive of the given statement. Present your answer to the class. Group 1 Two angles with equal measure are congruent. Group 2 All basketball players are tall. Group 3 A cat is animal with four paws.
Teacher I School Principal II
