2.1 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

2.1.4 USING LOGICAL REASONING

Examples: If a figure in convex, then it is an octagon.

Conditional Statements

Do Now: 1.Copy Down HW. 2.Describe the pattern, then find the next two numbers in the pattern: 3, 12, 48, 192, …

Conditional Statements

9/23/13 Warm Up 1. Q is between P and R. PQ = 2w – 3 and QR = 4 + w, and PR = 34. Find the value of w, PQ, AND QR. 2. Use the diagram to find the measures.

Inductive Reasoning and Conjecture “Proofs”

2.2 Conditional Statements Goal: Students will be able:  To recognize conditional statements and their parts.  To write converses, inverses, and contrapositives.

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

Conditional Statements

Conditional Statements

Welcome to Interactive Chalkboard 2.3 Conditional Statements.

Conditional Statements

Lesson 2-1 Conditional Statements. Conditional Statement Defn. A conditional statement is a statement that can be written as an if- then statement. That.

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,

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

Ex. 1 Identifying Hypothesis and Conclusion A conditional is an If, then statement Made of two parts Hypothesis and conclusion Hypothesis follows the.

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 Statements

Conditional Statements

Conditional Statement

1 Lines Part 3 How to Prove Lines Parallel. Review Types of Lines –Parallel –Perpendicular –Skew Types of Angles –Corresponding –Alternate Interior –Alternate.

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

Section 2-1: Conditional Statements TPI 32C: Use inductive and deductive reasoning to make conjectures, draw conclusions,

Conditional Statements and the Converse Geometry Unit 11, Day 7 Ms. Reed.

2.1 Conditional Statements Ms. Kelly Fall Standards/Objectives: Students will learn and apply geometric concepts. Objectives: Recognize the hypothesis.

2.1 CONDITIONAL STATEMENTS 10/2. Learning Targets I can find the truth value given a conditional and a converse I can rewrite a statement as a conditional.

2-3 Biconditionals and Definitions Objective: To write biconditionals and recognize good definitions.

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

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

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

Warm Up Week 6 1) write an equation that passes through the given point and y-intercept. ( 2, 1 ) ; b = 5.

Conditional Statements I CAN… Write conditional, converse, and biconditional statements.

Conditional & Biconditional Statements Chapter 2 Section 4.

Conditional Statements.  Conditional Statement: A statement that can be written in the form “If p then q.”  Every Conditional Statement has 2 parts:

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

Objective Write and analyze biconditional statements.

Chapter 2 Deductive Reasoning

Conditional Statements

Conditional Statements

Conditional Statements

Conditional Statements

Conditional Statements

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

Conditional Statements

Lesson 2-3: Conditional Statements

2-2 Conditional Statements

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

SWBAT analyze statements in if-then form.

G.1ab Logic Conditional Statements Modified by Lisa Palen.

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.

2-1 Conditional Statements

Chapter 2 Reasoning and Proof.

Conditional Statements

Conditional Statements

2.1 Conditional Statements

Conditional Statements

Conditional Statements

Welcome to Interactive Chalkboard

Conditional Statements

Conditional Statements

Conditional Statements

2-3 Conditional Statements

Conditional Statements

Conditional Statements

Conditional Statements

Presentation transcript:

2.1 Conditional Statements Objective: To recognize and write converses of conditional statements.

Conditional Statement A logical statement with 2 parts 2 parts are called the hypothesis & conclusion Can be written in “if-then” form; such as, “If…, then…” Hypothesis is the part after the word “If” Conclusion is the part after the word “then”

Ex 1: Underline the hypothesis & circle the conclusion. If you are a brunette, then you have brown hair. hypothesis conclusion Ex 2: Underline the hypothesis & circle the conclusion. If a polygon has 6 sides, then it is a hexagon. hypothesis conclusion

Ex 3: Rewrite the statement in “if-then” form Vertical angles are congruent. If 2 angles are vertical, then they are congruent. An object weighs one ton if it weighs 2000 lbs. If an object weighs 2000 lbs, then it weighs one ton.

Counterexample Used to show a conditional statement is false. It must keep the hypothesis true, but the conclusion false!

Ex 4: Find a counterexample to prove the statement is false. If x2=81, then x must equal 9. counterexample: x could be -9 because (-9)2=81, but x≠9. Ex 5: Find a counterexample to prove the statement is false. If you live in Virginia, then you live in Richmond. Counterexample: I live in Virginia, BUT I live in Glen Allen.

Converse Switch the hypothesis & conclusion parts of a conditional statement. Ex 6: Write the converse of “If you are a brunette, then you have brown hair.” If you have brown hair, then you are a brunette.

Ex 7: Converse State the converse of the if-then statement: If a polygon has five sides, then it is a pentagon. Converse: If a polygon is a pentagon, then it has five sides. True or False? True Truth Value

Symbolic Logic is used to represent p  q Symbols can be used to modify or connect statements. Symbols for Hypothesis and Conclusion: Hypothesis is represented by “p”. Conclusion is represented by “q”. if p, then q or p implies q p  q is used to represent

Conditional Statements and Converses

Assignment Page 71-73 #2-48 even