If – then statements.pptx If-Then Statements presentation on proving statements which are true. By using this powerpoint, students' knowledge will be enhanced and will minimize time on part of the teachers.

If-Then Statements presentation on proving statements which are true. By using this powerpoint, students' knowledge will be enhanced and will minimize time on part of the teachers.

1. If – then statements REASONS BEHIND REASONING SECOND QUARTER

2. oBjective : Determine the converse, inverse and contrapositive of an if-then statement.

3. Activity 1: elicit identify the cause-effect relationship based on the picture. transform the statement to an if-then form and be able to identify the hypothesis and conclusion.

4. Activity 2: engage Make a sentence from the jumbled words. Transform the sentence to an if-then form. If-then form: If an object is a triangle, then it is a polygon. Converse: If an object is a polygon, then it is a triangle. Inverse: If an object is not a triangle, then it is not a polygon. Contrapositive: If an object is not a polygon, then it is not a triangle. A POLYGON TRIANGLE A IS A

5. Activity 3: explore Transform the statement into if-then form and write its converse, inverse and contrapositive. Activity Sheet 1 Statement: A rectangle has four right angles. If-then Form: ________________________________________ Converse: ________________________________________ Inverse: ________________________________________ Contrapositive: _________________________________ Activity Sheet 2 Statement: An acute angle is not an obtuse angle. If-then Form: ________________________________________ Converse: ________________________________________ Inverse:_________________________________ Contrapositive: ________________________________________

6. Activity 3: Transform the statement into if-then form and write its converse, inverse and contrapositive. Activity Sheet 3 Statement: Two right angles are supplementary. If-then Form: ________________________________________ Converse: ________________________________________ Inverse:_________________________________ Contrapositive: ________________________________________

7. elaborate: A conditional statement is a statement that can be written in “if-then” form. The “if” part is the hypothesis, the “then: part of the statement is the conclusion.

8. If-then Statement If p, then q Converse If q, then p Inverse If not p, then not q Contrapositive If not q, then not p elaborate: To summarize how to convert the statement in terms of p and q :

9. ACTIVITY 4: Transform the statement into if-then form and write its converse, inverse and contrapositive. Statement: If you are 13 years old, then you are a teenager. If-then Form: _________________________________ Converse: ____________________________________ Inverse:_______________________________________ Contrapositive: _______________________________

10. ACTIVITY 5: extend In a group of five, Transform the statement into if-then form and write its converse, inverse and contrapositive. Statement: If you are a basketball player, then you are at least 5’9” tall. If-then Form: _____________________________ Converse: _______________________________ Inverse:__________________________________ Contrapositive: __________________________

11. RUBRICS: SCORE DESCRIPTION 4 Used appropriate strategy to come up with a correct conclusion and arrived at a correct answer 3 Used appropriate strategy to come up with a correct conclusion but a part of the conclusion led to an incorrect answer 2 Used appropriate strategy but came up with an entirely wrong conclusion that led to an incorrect answer 1 Attempted to solve the problem but used an inappropriate strategy that led to a wrong answer

12. GENERALIZATION: What is conditional statement? How will you write statements into if-then, converse, inverse and contrapositive forms?

13. ACTIVITY 6: evaluate A. Read each item carefully and choose the letter that corresponds to the correct answer. 1 . Which statement is in the if-then form? a. A figure has four sides if and only if it is a quadrilateral. b. If a figure is a quadrilateral, then it has four sides. c. If a figure has four sides, then it is a quadrilateral. d. A figure is a quadrilateral if and only if it has four sides. 2. Which of the following is the inverse of the statement “A square has five sides. a. A square has four sides. b. A square has no sides. c. A square does not have five sides. d. No square has five sides.

14. ACTIVITY 6: evaluate B. Complete the table below. If-then Statement: If two angles are complementary, then they are acute. Converse:   Inverse:   Contrapositive:  

15. Activity 7: agreement Write the converse, inverse and contrapositive of each statement. Label each of these statements as True or False. 1. If (9) (2) = 72, then 72 ÷ 9 = 8. 2. If 7 = 4 + 3, then 4 + 3 = 7.

16. Thank you! GRACE P. BELLEZA Teacher