Download presentation

Presentation is loading. Please wait.

Published byValerie Ordway Modified over 2 years ago

1
TODAY IN GEOMETRY… STATs for Ch.1 Test Learning Goal: 2.2 Write definitions as Conditional Statements and use Deductive Reasoning to make logical arguments Group Practice Activity Independent Practice – NO A.T. Retake Ch. 1 Test before next Chapter test

2
HOW DID YOU “SHAPE” UP?? Results for ALL of my Geometry classes: GRADE NUMBER OF STUDENTS WHO TOOK THE CH.1 TEST(14 pts.) 1 ST PERIOD3 RD PERIOD5 TH PERIOD6 TH PERIODTOTAL A1411131553 B596424 C144211 D51017 F4304 Avg.29282326105

3
CONDITIONAL STATEMENT: A mathematical statement given in if- then form. if = hypothesis then = conclusion Example: If two angles are a linear pair, then they are supplementary.

4
If an angle is 90 ° then it is a right angle. If you are a tourist at the Alamo, then you are in Texas.

6
NEGATION: Writing the opposite of the original statement. EXAMPLE: Statement 1:Statement 2: The cat is black.The ball is not red. The cat is not black.The ball is red.

9
STATEMENT p=hypothesis q=conclusion EXAMPLE CONDITIONALIf p, then q If you are a guitar player, then you are a musician. CONVERSEIf q, then p If you are a musician then you play the guitar. INVERSE If not p, then not q If you are not a guitar player, then you are not a musician. CONTRAPOSITIVE If not q, then not p If you are not a musician, then you do not play the guitar.

10
TRUTH VALUE: Whether a statement is true or false. If false, provide one counterexample. EXAMPLE: Conditional statement: If an animal is a bird, then it has feathers. TRUE!

11
STATEMENTTRUE VALUE COUNTER- EXAMPLE If two angles are a linear pair, then they are supplementary. If two angles are supplementary, then they are a linear pair. If two angles are not a linear pair, then they are not supplementary If two angles are not supplementary, then they are not a linear pair TRUE FALSE X X A pair of non-adjacent supplementary angles

12
If Rick takes chemistry this year, then Rick will get an A.

13
PERPEDICULAR LINES: Two lines are perpendicular if and only if they intersect to form a right angle.

14
TRUE FALSE TRUE

15
BICONDITIONAL STATEMENT: an “if and only if” statement formed when a conditional and its converse statement is true. EXAMPLE: Conditional Statement: If a polygon is regular, then it has equal sides and angles. Converse: If a polygon has equal sides and angles then it’s a regular polygon. Biconditional Statement: A polygon is regular if and only if it has equal sides and angles. TRUE!

16
IF TIME PERMITS…. WHITE BOARD GROUP TRIVIA DIRECTIONS:RULES: Write the conditional, 1. NO TALKING. converse, inverse and 2. Every student must contrapositive statementsparticipate. on whiteboards quickly and3. Cheating or talking = correctly.point deduction 1 POINT FOR EACH CORRECT ANSWER, 1 POINT FOR FIRST GROUP TO HAVE ALL CORRECT ANSWERS.

17
I will get my allowance if I do my homework. CONDITIONAL: If I do my homework, then I will get my allowance. CONVERSE: If I get my allowance, then I will do my homework. INVERSE: If I don’t do my homework, then I won’t get my allowance. CONTRAPOSITIVE: If I don’t get my allowance, then I won’t do my homework.

18
You give me $20, I will be your best friend. CONDITIONAL: If you give me $20, then I will be your best friend. CONVERSE: If I will be your best friend, then you will give me $20. INVERSE: If you don’t give me $20, then I won’t be your best friend. CONTRAPOSITIVE: If I won’t be your best friend, then you won’t give me $20.

19
A three sided polygon is a triangle. CONDITIONAL: If a polygon has three sides, then it is a triangle. CONVERSE: If a shape is a triangle, then it is a three sided polygon. INVERSE: If a polygon does not have three sides, then it is not a triangle. CONTRAPOSITIVE: If a shape is not a triangle, then it is not a three sided polygon.

20
Through any two points exists one line. CONDITIONAL: If there is two points, then one line exists. CONVERSE: If one line exists, then there is two points. INVERSE: If there isn’t two points, then one line does not exists. CONTRAPOSITIVE: If one lines does not exist, then there isn’t two points.

21
Two non-parallel lines intersect at a point. CONDITIONAL: If there is two non-parallel lines, then they intersect at one point. CONVERSE: If there is an intersection, then there is two non- parallel lines. INVERSE: If there isn’t two non-parallel lines, then they don’t intersect. CONTRAPOSITIVE: If there isn’t an intersection, then there isn’t two non-parallel lines.

22
The group with the most points will get a prize. CONDITIONAL: If my group has the most points, then we will get a prize. CONVERSE: If we get a prize, then my group has the most points. INVERSE: If my group does not have the most points, then we will not get a prize. CONTRAPOSITIVE: If we don’t get a prize, then my group does not have the most points.

23
HOMEWORK #1: Pg. 82: 3-18, 26-28, 47-54

Similar presentations

OK

Writing conditionals Using definitions as conditional statements Writing biconditionals Making truth tables.

Writing conditionals Using definitions as conditional statements Writing biconditionals Making truth tables.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on intellectual property Ppt on job evaluation system Ppt on related party transactions as per companies act 2013 Ppt on mechanical engineering projects English ppt on figures of speech Ppt on supply chain management of hyundai motors Ppt on different occupations in the medical field Ppt on interesting facts about brain Ppt on field study 5 Ppt on health tourism in india