3.5/3.7 Converses, Negations and Contrapositives Warm-up (IN) Learning Objective: to write converses, inverses and contrapositives and use them in logical.

Slides:

Advertisements

Similar presentations

Why Logic? A proof of any form requires logical reasoning. Logical reasoning ensures that the conclusions you reach are TRUE - as long as the rest of.

Advertisements

Geometry 2.2 Big Idea: Analyze Conditional Statements

Lesson 2.4 Logical Sequencing & Conditional Statements Objective: Using logical sequencing and conditional statements, converse, inverse, and contrapositive.

5.4/5.5 Conditions for Parallels Warm-up (IN) Learning Objective: to apply the converses of the theorems about parallel lines and prove lines are parallel.

Contrapositive and Inverse

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

Proving That Figures Are Special Quadrilaterals

2-2 Conditional Statements

2.2: An Introduction to Logic

LG.1.G.1 Define, compare and contrast inductive reasoning and deductive reasoning for making predictions based on real world situations, Venn diagrams,

Warm-up: What is the next term in the sequence? 1)3, 5, 11, 21, 35, ___ 2)

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

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.

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

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

Section 2-1: Conditional Statements Goal: Be able to recognize conditional statements, and to write converses of conditional statements. If you eat your.

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

2.2 Inductive and Deductive Reasoning. What We Will Learn Use inductive reasoning Use deductive reasoning.

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

CONDITIONAL STATEMENTS HONORS GEO 1.6. WHAT IS A CONDITIONAL? -A statement that contains “if, then”. -Ex: If you study hard, then you will do well. -Ex:

Conditional Statements

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

1. Grab board/marker for your group 2. Do WarmUp below V S T M P R TP bisects VS and MR. VM is congruent to SR. MP = 9, VT = 6 Perimeter of MRSV = 62 Find.

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

Related Conditional Statements 2-1B What are the three related conditional statements? How are the three related conditional statements made?

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.

5-4 Inverses, Contrapositives, and Indirect Reasoning

Section 3.3 Using Laws of Logic. Using contrapositives  The negation of a hypothesis or of a conclusion is formed by denying the original hypothesis.

Logic and Reasoning Conditional Statements. Logic The use and study of valid reasoning. When studying mathematics it is important to have the ability.

Monday August 19th Logic and Conditional Statements

2.3 CONDITIONAL STATEMENTS Geometry R/H. A Conditional statement is a statement that can be written in the form: If P, then Q. The hypothesis is the P.

2.1 Conditional Statements Goal 1: Recognizing Conditional Statements Goal 2: Using Point, Line, and Plane Postulates CAS 1,3.

7.2/7.3 Parallelograms! Learning Objective: to identify and classify parallelograms and prove that figures are special types of parallelograms. Warm-up.

Inverse, Contrapositive & indirect proofs Sections 6.2/6.3.

Unit 2-2: Conditional Statements Mr. Schaab’s Geometry Class Our Lady of Providence Jr.-Sr. High School

Ch. 2.1 Conditional Statements HMWK : p.75, #s 10 – 50 even. Game Plan: Today I will be able to 1.Analyze conditional statements 2.Utilize Postulates.

Section 2.1 Geometric Statements. Definitions: Conditionals, Hypothesis, & Conclusions: A conditional statement is a logical statement that has two parts:

Get one of these Think about *linear pairs *degrees in a triangle *degrees in a quadrilateral.

Transparency 2 Click the mouse button or press the Space Bar to display the answers.

2.1, 2.2 and 5.4: Statements and Reasoning. Conditional is an if-then statement that contains two parts. The part following the if is the Hypothesis.

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

Inductive Reasoning Notes 2.1 through 2.4. Definitions Conjecture – An unproven statement based on your observations EXAMPLE: The sum of 2 numbers is.

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

Draw a Logical Conclusion:  If you are a lefty then you struggle to use a can opener.  If you like math then you must be smart.  If you are smart then.

Chapter 2, Section 1 Conditional Statements. Conditional Statement Also know as an “If-then” statement. If it’s Monday, then I will go to school. Hypothesis:

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

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

Section 2.1 Conditional Statements Standards #1&3 Wednesday, July 06, 2016Wednesday, July 06, 2016Wednesday, July 06, 2016Wednesday, July 06, 2016.

Day 2 Additional material. Negation terms 1) Negation symbol: ~ 2) Inverse statement – Put “not” in both the hypothesis and conclusion of the conditional.

Warm Up 1.) Adds one more side to the polygon. 2.)

Conditional Statements

Conditional Statements

Analyze Conditional Statements

Practice Test is Handout of these slides

A logic statement written in if-then form.

2-2 Conditional Statements

2.1 Conditional Statements

Conditional Statements

2.1 conditionals, 2.2 Biconditionals, 5.4 inverse and contrapositive

Logical Sequencing & Conditional Statements

Conditional Statements

Chapter 2.2 Notes: Analyze Conditional Statements

2-2 Conditional Statements

Logic and Reasoning.

Warm Up 2-23. In a conditional statement, the “if” portion of the statement is called the hypothesis, and the “then” portion is called the conclusion.

Conditional Statements

Presentation transcript:

3.5/3.7 Converses, Negations and Contrapositives Warm-up (IN) Learning Objective: to write converses, inverses and contrapositives and use them in logical arguments. A, B, and C are the following statements: True False 1. If A is the hypothesis and C is the conclusion, is the conditional statement True or False? 2. If C is the hypothesis and A is the conclusion, is it True or False? 3. Consider the statement, “If A, then B.” True or False?

Notes Converse - The hypothesis and conclusion are switched If a figure is a square, then it has 4 sides. If a figure has 4 sides, then it is a square. Ex 1 – If a quadrilateral is a rhombus, then it has a pair of parallel sides. a. Draw a diagram and state the hyp and concl. B T A O Given: Prove: BOAT is a rhombus BO//TA

b. Draw a diagram of the converse and state the hyp and concl. Given: Prove: BOAT is a rhombus BO//TA B T A O CKC p. 138 Conditional - Converse - If P, then Q. If Q, then P. Inverse - If not P, then not Q. Contrapositive - If not Q, then not P.

Ex 2 – Rewrite the statement as a conditional, then write the converse, inverse and contrapositive. T or F? A square is a rhombus. Conditional - Converse - Inverse - Contrapositive - If a figure is a square, then it is a rhombus. T If a figure is a rhombus, then it is a square. F If a figure is not a square, then it is not a rhombus. F If a figure is not a rhombus, then it is not a square. T

HW – p #4-9,11 p #16-20 Out – Write the converse, inverse and contrapositive of “If I live in Conifer, then I live in Colorado.” T or F? Summary – I have questions about… Quiz Monday –