2-3 Conditional Statements You used logic and Venn diagrams to determine truth values of negations, conjunctions, and disjunctions. Analyze statements.

Slides:

Advertisements

Similar presentations

9/2/2008 Warm Up Complete the conjecture by looking for a pattern in the diagram below. The number of sides of a polygon that has n vertices is________________.

Advertisements

Determine if each statement is true or false.

Conditional Statements

Conditional Statements Conditional - Conditionals are formed by joining two statements with the words if and then: If p, then q. The if-statement is the.

Conditional Statements

Inductive Reasoning and Conjecture “Proofs”

Lesson 2-3 Conditional Statements. Ohio Content Standards:

Conditional Statements youtube. com/watch SOL: G.1a SEC: 2.3.

Welcome to Interactive Chalkboard 2.3 Conditional Statements.

Conditional Statements

Chapter 2.3 Conditional Statements. Conditional Statement.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–2) Then/Now New Vocabulary Key Concept: Conditional Statement Example 1: Identify the Hypothesis.

conditional statement contrapositive

2.3 Analyze Conditional Statements. Objectives Analyze statements in if-then form. Analyze statements in if-then form. Write the converse, inverse, and.

Bellwork Find m  1 and m  2 if m  1 = 8x + 18 and m  2 = 16x – 6 and m  1 and m  2 are supplementary. A.m  1 = 106, m  2 = 74 B.m  1 = 74, m 

Geometry 6.2 Inverses and Contrapositives. There are two other types of conditionals called the inverse and the contrapositive. Recall:Conditional StatementIF.

Lesson 2-3 Conditional Statements. 5-Minute Check on Lesson 2-2 Transparency 2-3 Use the following statements to write a compound statement for each conjunction.

Inductive/Dedu ctive Reasoning Using reasoning in math and science.

Welcome to Proofs!. The Basics Structure: Given information (sometimes assumption) Step-by-step reasoning Conclusion Types of reasoning: Inductive-use.

Over Lesson 2–2 5-Minute Check 1 A.True; 12 + (–4) = 8, and a triangle has four sides. B.True; 12 + (–4)  8, and a triangle has four sides. C.False; 12.

Welcome to Interactive Chalkboard Glencoe Geometry Interactive Chalkboard Copyright © by The McGraw-Hill Companies, Inc. Developed by FSCreations, Inc.,

Conditional Statements

CONDITIONALS. Conditional Statement: Any statement that is or can be written in if- then form. That is, If p then q.

Conditional Statements

2-3 C ONDITIONALS. S TATEMENTS Conditional statement A statement that can be written in if-then form If-Then statement If p, then q “p” and “q” are statements.

Chapter Conditional statements. * Identify, write, and analyze the truth value of conditional statements. * Write the inverse, converse, and contrapositive.

Chapter 2 Reasoning and Proof. 2.1 Inductive Reasoning and Conjecture Conjecture- an educated guess based on known information Inductive reasoning- reasoning.

Warm Up Determine if each statement is true or false. 1. The measure of an obtuse angle is less than 90°. 2. All perfect-square numbers are positive. 3.

Pre-AP Bellwork 7) The radius of a circle is 4 feet. Describe what happens to the circle’s area when the radius is doubled.

2.3 Conditional Statements 0 Conditional statement- a statement that can be written in if-then form.

Splash Screen Today in Geometry Lesson 2.1: Inductive Reasoning Lesson 2.2: Analyze conditional statements.

Holt Geometry 2-2 Conditional Statements 2-2 Conditional Statements Holt Geometry.

Conditional Statements A conditional statement is a statement that can be written in “if-then” form. The hypothesis of the statement is the phrase immediately.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–2) NGSSS Then/Now New Vocabulary Key Concept: Conditional Statement Example 1: Identify the.

2.2 Conditional Statements Objective: Students will analyze statements in if-then form and write the converse, inverse, and contrapositive of if-then statements.

2-1 Conditional Statements M11.B.2 Objectives: 1) To recognize conditional statements. 2) To write converses of conditional statements.

If-then statements April 4, What is an if-then statement? One of the postulates we looked at earlier stated: If B is between A and C, then AB +

1 Conditional Statements “IF-THEN”. If- Then Statements If- Then Statements are commonly used in everyday life. Advertisement might say: “If you buy our.

Conditional Statements 2-1A What is a conditional statement? What two parts make up a conditional statement?

Entry Task Determine if each statement is true or false. 1. The measure of an obtuse angle is less than 90°. 2. All perfect-square numbers are positive.

CONDITIONAL STATEMENTS Intro to AlgebraFarris 2015.

Holt Geometry 2-2 Conditional Statements 2-2 Conditional Statements Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson.

Showing Lines are Parallel 3.5. Objectives Show that two lines are parallel.

Transparency 2 Review: Lesson 2-1 Mini-Quiz. Class Greeting.

Conditional Statements LESSON 2–3. Lesson Menu Five-Minute Check (over Lesson 2–2) TEKS Then/Now New Vocabulary Key Concept: Conditional Statement Example.

Lesson 3 Menu Warm-up Problems. Lesson 3 MI/Vocab conditional statement if-then statement hypothesis conclusion related conditionals converse Analyze.

Objective Write and analyze biconditional statements.

2.1 Conditional Statements

Conditional Statements

Introduction to Deductive Proofs

2-3 Conditional Statements

Make a conjecture about the next item in the sequence. 1, 4, 9, 16, 25

Conditional Statements

Lesson 2-3: Conditional Statements

Conditional Statements

Do Now! 1. Evaluate 5x2 – 3x for x = 2 Solve: 3(11x – 7) = 13x + 25.

SWBAT analyze statements in if-then form.

Test corrections Need to write each problem you missed. Including the incorrect answer. Show ALL work!! If you just put the correct letter you will not.

Chapter 2 Reasoning and Proof.

Welcome to Interactive Chalkboard

Conditional Statements

MAT 3100 Introduction to Proof

And represent them using Venn Diagrams.

Presentation transcript:

2-3 Conditional Statements You used logic and Venn diagrams to determine truth values of negations, conjunctions, and disjunctions. Analyze statements in if-then form. Write the converse, inverse, and contrapositive of if-then statements.

Conditional Statements Her condition improved each day she exercised. Mom said I could go to the mall on one condition. If I taped my ankle each morning, then the condition of it would improve. In mathematics, statements in if-then form are called conditional statements.

Parts of a Conditional Statement I wrote my hypothesis for my Science Fair project. The experiment proved my hypothesis wrong. I had a good conclusion at the end of my English paper. I came to the conclusion that I lost my notebook.

Parts of a Conditional Statement Hypothesis—the if part of a conditional statement. Conclusion—the then part of a conditional statement.

Write a Conditional Statement Hypothesis: You talk on the telephone more than one hour per night. Conclusion: Your grade will drop one letter. If you talk on the telephone more than one hour per night, then your grade will drop one letter.

Identify the Hypothesis and Conclusion A. Identify the hypothesis and conclusion of the following statement. Answer:Hypothesis: A polygon has 6 sides. Conclusion: It is a hexagon. If a polygon has 6 sides, then it is a hexagon. hypothesis conclusion

Identify the Hypothesis and Conclusion B. Identify the hypothesis and conclusion of the following statement. Tamika will advance to the next level of play if she completes the maze in her computer game. Answer:Hypothesis: Tamika completes the maze in her computer game. Conclusion: She will advance to the next level of play.

A.Hypothesis: You will cry. Conclusion: You are a baby. B.Hypothesis: You are a baby. Conclusion: You will cry. C.Hypothesis: Babies cry. Conclusion: You are a baby. D.none of the above A. Which of the choices correctly identifies the hypothesis and conclusion of the given conditional? If you are a baby, then you will cry.

Conditional statements are not always in if-then form, but any statement can be rewritten in that form. It is easier to identify the hypothesis and conclusion when it is written in if-then form.

A. Identify the hypothesis and conclusion of the following statement. Then write the statement in the if-then form. Measured distance is positive. Answer: Hypothesis: A distance is measured. Conclusion: It is positive. If a distance is measured, then it is positive. Write a Conditional in If-Then Form

B. Identify the hypothesis and conclusion of the following statement. Then write the statement in the if-then form. A five-sided polygon is a pentagon. Answer:Hypothesis: A polygon has five sides. Conclusion: It is a pentagon. If a polygon has five sides, then it is a pentagon.

Do Television commercials use Conditional Statements?

True or False? For a conditional statement to be true, the conclusion must be true whenever the hypothesis is true. A conditional is false only if there is a case in which the hypothesis is true and the conclusion is false. If two numbers are both odd, then their sum is odd. The condition is false because the conclusion is false even though the hypothesis is true.

Truth Values of Conditionals A. Determine the truth value of the conditional statement. If true, explain your reasoning. If false, give a counterexample. If you subtract a whole number from another whole number, the result is also a whole number. Answer:Since you can find a counterexample, the conditional statement is false. Counterexample: 2 – 7 = –5 2 and 7 are whole numbers, but –5 is an integer, not a whole number. The conclusion is false.

Truth Values of Conditionals B. Determine the truth value of the conditional statement. If true, explain your reasoning. If false, give a counterexample. If last month was February, then this month is March. Answer:So, the conditional statement is true. When the hypothesis is true, the conclusion is also true, since March is the month that follows February.

A. Determine the truth value of the conditional statement. If true, explain your reasoning. If false, give a counterexample. The product of whole numbers is greater than or equal to 0. A.True; when the hypothesis is true, the conclusion is also true. B.False; –3 ● 4 = –12

B. Determine the truth value of the conditional statement. If true, explain your reasoning. If false, give a counterexample. If yesterday was Tuesday, then today is Monday. A.True; when the hypothesis is true, the conclusion is false. B.False; today is Wednesday.

C. Determine the truth value of the conditional statement. If true, explain your reasoning. If false, give a counterexample. If a triangle has four right angles, then it is a rectangle. A.True; the hypothesis is false, and a conditional with a false hypothesis is always true. B.False; a right triangle has one right angle.

2-3 Assignment Page 111, 18-21, 26-31, 35-38