Conditional 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

Conditional Statements Geometry Chapter 2, Section 1.

When several examples form a pattern and you assume the pattern will continue, you are applying inductive reasoning. Inductive reasoning is the process.

2.1 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.

Get Ready To Be Logical! 1. Books and notebooks out. 2. Supplies ready to go. 3. Answer the following: The sum of 2 positive integers is ___________ True.

Conditional Statements

2-2 Conditional Statements

Welcome to Interactive Chalkboard 2.3 Conditional Statements.

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.

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 

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

2.1 Conditional Statements Goals Recognize a conditional statement Write postulates about points, lines and planes.

2.1 Conditional Statements. Conditional Statement  Conditional statement has two parts, hypothesis and a conclusion.  If _____________, then____________.

Learning Targets I can recognize conditional statements and their parts. I can write the converse of conditional statements. 6/1/2016Geometry4.

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.

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

Conditional Statements

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.

Conditional Statement A conditional statement has two parts, a hypothesis and a conclusion. When conditional statements are written in if-then form, the.

Unit 2 Part 1 Conditional, Converse, Inverse, and Contra- Positive Statements.

Section 2.2 Conditional Statements 1 Goals Recognize and analyze a conditional statement Write postulates about points, lines, and planes using conditional.

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

Chapter 2.2 Notes: Analyze Conditional Statements Goal: You will write definitions as conditional statements.

Section 2-1 Conditional Statements. Conditional statements Have two parts: 1. Hypothesis (p) 2. Conclusion (q)

Conditional Statements Section 2-3 Conditional Statements If-then statements are called conditional statements. The portion of the sentence following.

Section 2-2: Conditional Statements. Conditional A statement that can be written in If-then form symbol: If p —>, then q.

MM1G2.b. Understand and use the relationships among the statement and it converse inverse and contrapositive. Destiny and Scott.

Chapter 2 Section 2-1: Conditional Statements

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

By phrasing a conjecture as an if-then statement, you can quickly identify its hypothesis and conclusion.

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.

2-2 Conditional Statements Objectives: To recognize conditional statements and their parts To write converses, inverses, and contrapositives of conditionals.

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

Geometry Review Jeopardy. Review Jeopardy Rules On a teams’ first pick they must pick a questions worth 20 points or LESS On a teams’ second pick they.

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

CONDITIONAL STATEMENTS Intro to AlgebraFarris 2015.

Inductive and Deductive Reasoning. Notecard 30 Definition: Conjecture: an unproven statement that is based on observations or given information.

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

Additional Topics for the Mid-Term Exam. Propositions Definition: A proposition is a statement with a truth value. That is, it is a statement that is.

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.

Conditional Statements. 1) To recognize conditional statements and their parts. 2) To write converses, inverses, and contrapositives of conditionals.

Conditional Statements

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

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.

2-1 Conditional Statements

2-2 Conditional Statements

Chapter 2 Reasoning and Proof.

Copyright © 2014 Pearson Education, Inc.

Welcome to Interactive Chalkboard

Logic and Reasoning.

2-3 Conditional Statements

Angles, Angle Pairs, Conditionals, Inductive and Deductive Reasoning

Math Humor Teacher: Which month has 28 days? Student: All of them!!

Presentation transcript:

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 hypothesis and the then-statement is the conclusion. Conditional statements are either true conditionals or false conditionals. A conditional is a false conditional when the hypothesis is true and the conclusion is false. A conditional can be shown to be false by using a counterexample.

Identify the hypothesis and conclusion of each statement. a. If you are a baby, then you will cry. b. To find the distance between two points, you can use the Distance Formula. Answer: Hypothesis: you are a baby Conclusion: you will cry Answer: Hypothesis: you want to find the distance between two points Conclusion: you can use the Distance Formula Example 3-1c

a. A polygon with 8 sides is an octagon. Identify the hypothesis and conclusion of each statement. Then write each statement in if-then form. a. A polygon with 8 sides is an octagon. b. An angle that measures 45º is an acute angle. Answer: Hypothesis: a polygon has 8 sides Conclusion: it is an octagon If a polygon has 8 sides, then it is an octagon. Answer: Hypothesis: an angle measures 45º Conclusion: it is an acute angle If an angle measures 45º, then it is an acute angle. Example 3-2c

a. It does not rain today; Michael does not go skiing. Determine the truth value of the following statements for each set of conditions. If it rains today, then Michael will not go skiing. a. It does not rain today; Michael does not go skiing. b. It rains today; Michael does not go skiing. c. It snows today; Michael does not go skiing. d. It rains today; Michael goes skiing. Answer: true Answer: true Answer: true Answer: false Example 3-3e

Conditionals, Converses, etc Conditional - If p, then q. Converse - If q, then p. Inverse – If not p, then not q. Contrapositive – If not q, then not p. Counterexample – If p, then not q. Rules of Logic: The truth value of a converse may or may not be the same as that of its conditional. The truth value of a conditional and its contrapositive are always the same. Likewise for a converse and an inverse.

Write the converse, inverse, and contrapositive of the statement The sum of the measures of two complementary angles is 90. Determine whether each statement is true or false. If a statement is false, give a counterexample. Answer: Conditional: If two angles are complementary, then the sum of their measures is 90; true. Converse: If the sum of the measures of two angles is 90, then they are complementary; true. Inverse: If two angles are not complementary, then the sum of their measures is not 90; true. Contrapositive: If the sum of the measures of two angles is not 90, then they are not complementary; true. Example 3-4b