Conditional Statements

Slides:

Advertisements

Similar presentations

Geometry 2.2 Big Idea: Analyze Conditional Statements

Advertisements

Lesson Conditional Statements. Lesson Conditional Statement Definition:A conditional statement is a statement that can be written in if-then.

Conditional Statements

1 U1-C1-L1 Logic: Conditional Statements. Conditional Statements 2 Conditional Statement Definition:A conditional statement is a statement that can be.

Conditional Statements and Logic 2.2 Ms. Verdino.

Conditional Statements

Conditional Statements

2-2 Conditional Statements

10/21/2015Geometry1 Section 2.1 Conditional Statements.

10/21/2015Geometry1 Conditional Statements. 10/21/2015Geometry2 Goals Recognize and analyze a conditional statement Write postulates about points, lines,

2.1 Conditional Statements

Lesson 2.2 Analyze Conditional Statements Goal: The learner will write definitions as conditional statements.

Conditional Statements Conditional Statement: “If, then” format. Converse: “Flipping the Logic” –Still “if, then” format, but we switch the hypothesis.

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

2.2 Conditional Statements You can describe some mathematical relationships using a variety of if-then statements. A conditional – an if-then statement.

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

Logic and Proofs. 2-2 Conditional Statements Conditional statements are just that – statements that contain a condition. If p then q p is the Hypothesis.

Conditional Statements. Standards/Objectives: Students will learn and apply geometric concepts. Objectives: –Recognize and analyze a conditional statement.

Conditional Statements Lesson 2-1. Conditional Statements have two parts: Hypothesis ( denoted by p) and Conclusion ( denoted by q)

Conditional Statement

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

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.

Unit 01 – Lesson 07 – Conditional Statements

1 If-then Statements “If-then statements” are also called “Conditional Statements” or just “Conditionals” “If-then statements” are also called “Conditional.

GEOMETRIC PROOFS A Keystone Geometry Mini-Unit. Geometric Proofs – An Intro Why do we have to learn “Proofs”? A proof is an argument, a justification,

Lesson 2.2 Analyze Conditional Statements Goal: The learner will write definitions as conditional statements.

Reasoning, Conditionals, and Postulates Sections 2-1, 2-3, 2-5.

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

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 +

Conditional Statements Mrs. Spitz Modifyied by Mrs. Ortiz-Smith Geometry.

Lesson 2-1 Conditional Statements 1 Lesson 2-3 Conditional Statements.

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

Section 2.2 Homework Quiz Question Put the following Conditional Statement into If Then Form: All birds have feathers.

Lesson 2-1 LESSON 2-1 CONDITIONAL STATEMENTS 1 Conditional Statements.

Conditional Statements

Introduction to Deductive Proofs

Conditional Statements

Analyze Conditional Statements

Conditional Statements

Conditional Statements

Lesson 2.2 Analyze Conditional Statements

Warm Up For this conditional statement: If a polygon has 3 sides, then it is a triangle. Write the converse, the inverse, the contrapositive, and the.

Conditional Statements

Contrapositive, Inverse, and Converse

Conditional Statements

2-2 Conditional Statements

2-2 Conditional Statements

2-2 Conditional Statements

Conditional Statements

Conditional Statements

2.1 Conditional Statements

Copyright © 2014 Pearson Education, Inc.

Conditional Statements

Conditional Statements

Conditional Statements

Conditional Statements

G7 Conditional Statements

2-2 Conditional Statements

More Conditional Statements

Logic and Reasoning.

2-3 Conditional Statements

Angles, Angle Pairs, Conditionals, Inductive and Deductive Reasoning

Conditional Statements

Conditional Statements

Conditional Statements

Different Forms of Conditional Statements

2-2: Conditional Statements

Presentation transcript:

Conditional Statements Logic Lesson 1

Conditional Statements Foldable Negation Equivalent Statements Converse Inverse Contrapositive Conditional Statements Foldable

Conditional Statement if-then true false If you are from Wisconsin, then you are a Packer fan! hypothesis conclusion

Converse flipping AB+BC=AC B is between A & C

Negation It is not raining I am hungry opposite

Inverse Inverse = Opposite negating An angle is not 90 If you are NOT from Wisconsin, then you are NOT a Packer fan! If you are from Wisconsin, then you are a Packer fan! An angle is not 90 It is not a right angle

they are not vertical angles Contrapositive flipping negating If you are from Wisconsin, then you are a Packer fan! If you are NOT a Packer fan, then you are NOT from Wisconsin! two angles are not ≅ they are not vertical angles

Equivalent Statements contrapositive converse inverse If you are from Wisconsin, then you are a Packer fan! If you are NOT a Packer fan, then you are NOT from Wisconsin! I am from Wisconsin, therefore I must be a Packer fan. I am NOT a Packer fan, therefore I must NOT be from Wisconsin. true false

Conditional Statements Notes If you graduate high school, then you go to college. If hypothesis, then conclusion. Converse (Flip) Inverse (Negate) Contrapositive (Flip and Negate) If you go to college, then you graduated high school. If you did not graduate high school, then you did not go to college. If you did not go to college, then you did not graduate high school.

Conditional Statements Notes If you get married, then you have three children. You can provide a counterexample to prove statements are false. Converse (Flip) Inverse (Negate) Contrapositive (Flip and Negate) If you have three children, then you got married. If you do not get married, then you do not have three children. If you do not have three children, then you did not get married.

Conditional Statement Notes If a conditional statement is true then: the converse is __________________ the inverse is ___________________ the contrapositive is ________________ Sometimes true Sometimes true always true Conditional Statement Notes

Identify the hypothesis and conclusion. You will make the honor roll if you get all A’s and B’s. Class Example 1

Class Example 2 If a number is odd, then it is a prime number. Provide a counterexample to show that the conditional statement is false. If a number is odd, then it is a prime number. Class Example 2

Class Example 3 If a bird is a raven then it is black. Write the inverse of the statement. Is it true or false? If false provide a counterexample. If a bird is a raven then it is black. Class Example 3

Student Example 1 AB = BC if B is the midpoint of AC. Write the converse of the statement. AB = BC if B is the midpoint of AC. Student Example 1

Student Example 2 If you build it they will come. Identify the hypothesis and conclusion. If you build it they will come. Student Example 2

Student Example 3 ∠A=∠B if both angles are right angles. Write the inverse. Is it true? If not, provide a counterexample. ∠A=∠B if both angles are right angles. Student Example 3