The Hypothesis and Conclusion of an If-t

If-Then Statements

1. Lesson 1 The Hypothesis and Conclusion of an If-Then Statement

2. At the end of this lesson, the learner should be able to properly identify the hypothesis and conclusion of a conditional statement; and correctly transform a statement into an equivalent if-then statement.

3. In what type of conditional statements are the hypothesis and conclusion interchangeable? What type of statements cannot be written in if-then form?

4. Before we learn about if-then statements, let us watch a short video about conditionals in language. (Click the link to access the video.) Khoo, Justin. “Language: Conditionals, Part 1.” Khan Academy. Accessed June 12, 2019 from https://bit.ly/2woq1hS .

5. What are the parts of a conditional statement? Why are conditional statements necessary in language?

6. If-Then Statement or Conditional Statement A statement that is composed of hypothesis and a conclusion and is denoted by , where is the hypothesis and is the conclusion. This is read as “if , then .”   1 Examples: 1. If a number is even, then it is divisible by two. 2. If there is a typhoon, then classes are suspended.

7. 2 Hypothesis It is usually the first clause of a conditional statement which follows the word “if”. It is the “condition” in the statement. Example: In the statement “When you feel like quitting, think about why you started,” the first part ”you feel like quitting” is the hypothesis. It can be changed to an if-clause as “If you feel like quitting.”

8. 3 Conclusion It is usually the second clause of a conditional statement which follows the word “then.” It is the “result” in the statement. Example: In the statement “When you feel like quitting, think about why you started,” the conclusion is “think about why you started.” It can be changed to a then-clause as “then think about why you started.”

9. Example 1 : Determine the hypothesis and conclusion of the conditional statement “If you win the basketball game, then we will celebrate.”

10. Solution : The hypothesis is the clause after the word “if.” Thus, the hypothesis of the given conditional statement is “you win the basketball game.” The conclusion is the clause after the word “then.” Thus, the conclusion of the given conditional statement is “we will celebrate.”

11. Example 2 : Rewrite the statement “I perform better when I practice the dance routine.” in if-then form.

12. Solution: 1. Identify the hypothesis. To identify the hypothesis, identify the condition of the given statement. It is usually the clause beginning with “when.” In this case, the condition of the statement is “I practice the dance routine.” Thus, the hypothesis is “I practice the dance routine.”

13. 2. Identify the conclusion. The conclusion is the result of the condition. In this case, the conclusion is “I perform better.” 3. Compose the if-then statement. If-clause: “If I practice the dance routine” Then-clause: “then I perform better” Thus, the if-then form of the given statement is: “If I practice the dance routine, then I perform better.”

14. Individual Practice: Determine the hypothesis and conclusion of the conditional statement “If you love yourself, then do what makes you happy.” Rewrite the statement “I will bring my umbrella when it is raining.” in if-then form.

15. Group Practice : To be done in groups of five. Joshua enjoys exercising. He observed that he sleeps better when he exercises at night. Compose an if-then statement based on Joshua’s observation.

16. If-then Statement or Conditional Statement A statement denoted by , where is the hypothesis and is the conclusion.   1 2 3 Hypothesis It is the “condition” of the statement. Conclusion It is the “result” of the statement.

17. In what type of conditional statements are the hypothesis and conclusion interchangeable? How can you relate if-then statements to making decisions in life? How will interchanging the hypothesis and conclusion affect the meaning of a conditional statement?