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

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

Section 2.1 Notes Conditional Statements. Conditional Statement A type of logic statement that has two parts: a hypothesis and a conclusion We will write.

Lesson 2-3 Conditional Statements. Ohio Content Standards:

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

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

Logic, Conditional statements and deductive reasoning

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 

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

L OGIC. A conjecture is an educated guess that can be either true or false. A statement is a sentence that is either true or false but not both. Often.

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,

Geometry CH 4-1 Using Logical Reasoning Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.

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

Warm Up Week 6 m ∡ 9 = 33º ) What is m ∡ 7? 2) What is m ∡ 8?

Logic and Reasoning. Identify the hypothesis and conclusion of each conditional. Example 1: Identifying the Parts of a Conditional Statement A.If today.

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.

Review Complete the chart: pq Conditional p  q Converse _  _ TT TF FT FF.

2-1 Inductive Reasoning & Conjecture INDUCTIVE REASONING is reasoning that uses a number of specific examples to arrive at a conclusion When you assume.

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.

Conditional Statements

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

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

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

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

2.2.1 Analyze Conditional Statements and Proof Chapter 2: Reasoning and Proof.

Warm Up Week 7 1) find the slope between the two points: ( 2, -9 ) and ( -13, 21 )

Warm up 1.Re-write the following statements as an if-then statement. 2.State the converse of the statement. a.The midpoint of a segment is a point that.

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.

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.

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.

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.

Logic Section 2.1. Symbols         and or If …, then… not.

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

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

Conditional & Biconditional Statements Chapter 2 Section 4.

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

Conditional Statements

2-3 Conditional Statements

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.

Chapter 2 Reasoning and Proof.

Welcome to Interactive Chalkboard

Conditional Statements

Presentation transcript:

Conditional Statements

Objectives Write statements in if-then form. Write the converse, inverse, and contrapositive of if-then statements.

Statements A statement is any sentence. Statements are most often represented using a letter such as p or q. Example: p: A triangle has 3 sides. q: Triangular polygons have 3 sides.

If-Then Statements If 3, then p q A conditional statement is a statement that can be written in if-then form. Example: If an animal has hair, then it is a mammal. Conditional statements can be written as “if p, then q.” We write p q using symbols, which is read “if p, then q” or “p implies q.” If 3, then p q

Hypothesis and Conclusions Hypothesis is the IF part of a conditional statement. Conclusions are the THEN part of a conditional statement. If a triangle, then 3 sides. hypothesis conclusion

Example 1: 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. Write in IF, THEN form first…..

Example 2: Write each statement in if-then form. Identify the hypothesis and conclusion of each statement.. a. A polygon with 8 sides is an octagon. b. An angle that measures 45º is an acute angle.

Converse, Inverse, and Contrapositive Statement Formed by Symbols Examples Conditional If , then p q If 2 angles have the same measure, then they are congruent. Converse Switch p and q q p If 2 angles are congruent, then they have the same measure. Inverse Nots to p and q ~p ~q If 2 angles do not have the same measure, then they are not congruent. Contrapositive Switch and Nots to p and q ~q ~p If 2 angles are not congruent, then they do not have the same measure.

Converse, Inverse, and Contrapositive If 3, then Converse: Switch Inverse: Add nots Contrapositive: Switch and add nots

Example 4: Write the converse, inverse, and contrapositive of the statement All squares are rectangles. Conditional: If a shape is a square, then it is a rectangle. Converse:

Example 4: Inverse: Contrapositive:

Your Turn: Write the converse, inverse, and contrapositive of the conditional statement If the two angles are complementary, then the sum of their measures is 90 Inverse: Converse: Contrapositive:

Assignment Geometry Workbook, pages 23 - 25