Warm Up Classify each angle. Holt McDougal Geometry
|
|
|
- Della Jenkins
- 5 years ago
- Views:
Transcription
1 Warm Up Classify each angle.
2 Objectives EQ: How do you use inductive reasoning to identify patterns and make conjectures? How do you find counterexamples to disprove conjectures? Unit 2A Day 4
3 inductive reasoning conjecture counterexample Vocabulary
4 Example 1A: Identifying a Pattern Find the next item in the pattern. January, March, May,... Alternating months of the year make up the pattern. The next month is July.
5 Example 1B: Identifying a Pattern Find the next item in the pattern. 7, 14, 21, 28, Multiples of 7 make up the pattern. The next multiple is 35.
6 Example 1C: Identifying a Pattern Find the next item in the pattern. In this pattern, the figure rotates 90 counterclockwise each time. The next figure is.
7 When several examples form a pattern and you assume the pattern will continue, you are applying inductive reasoning. Inductive reasoning is the process of reasoning that a rule or statement is true because specific cases are true. You may use inductive reasoning to draw a conclusion from a pattern. A statement you believe to be true based on inductive reasoning is called a conjecture.
8 Example 2A: Making a Conjecture Complete the conjecture. The sum of two positive numbers is?. List some examples and look for a pattern = = , ,000,017 = 1,003,917 The sum of two positive numbers is positive.
9 Check It Out! Example 2B Complete the conjecture. The product of two odd numbers is?. List some examples and look for a pattern. 1 1 = = = 35 The product of two odd numbers is odd.
10 Example 3A: Biology Application The cloud of water leaving a whale s blowhole when it exhales is called its spray. A biologist observed blue-whale sprays. Another biologist recorded humpback-whale sprays. Make a conjecture based on the data. Height of Blue-whale sprays (ft.) Heights of Whale Sprays Height of Humpback-whale sprays (ft.) The height of a blue-whale s spray is greater than a humpback whale s spray.
11 Check It Out! Example 3B Make a conjecture about the lengths of male and female whales based on the data. Average Whale Lengths Length of Female (ft) Length of Male (ft) In 5 of the 6 pairs of numbers above the female is longer. Female whales are longer than male whales.
12 To show that a conjecture is always true, you must prove it. To show that a conjecture is false, you have to find only one example in which the conjecture is not true. This case is called a counterexample. A counterexample can be a drawing, a statement, or a number.
13 Inductive Reasoning 1. Look for a pattern. 2. Make a conjecture. 3. Prove the conjecture or find a counterexample.
14 Example 4B: Finding a Counterexample Show that the conjecture is false by finding a counterexample. Any two complementary angles (angles that sum to 90 degrees) are not congruent = 90 If the two congruent angles both measure 45, the conjecture is false.
15 Check It Out! Example 4a Show that the conjecture is false by finding a counterexample. For any real number x, x 2 x. 1 Let x = Since =,. 4 4 The conjecture is false. 2
16 Check It Out! Example 4b Show that the conjecture is false by finding a counterexample. Supplementary (angles that add to 180 degrees) angles are adjacent The supplementary angles are not adjacent, so the conjecture is false.
17 Assignment: AG# class: pg 25 #8-13, AG class: pg 25 #11-13, 17-22
18 Lesson Quiz Find the next item in each pattern , 0.07, 0.007, Determine if each conjecture is true. If false, give a counterexample. 3. The quotient of two negative numbers is a positive number. true 4. Every prime number is odd. false; 2 false; 90 and Two supplementary angles are not congruent. 6. The square of an odd integer is odd. true
2.1 inductive reasoning and conjecture ink.notebook. September 07, Page 55. Ch 2. Reasoning. Page 56. and Proofs. 2.1 Inductive.
2.1 inductive reasoning and conjecture ink.notebook Page 55 Ch 2 Reasoning and Proofs Page 56 2.1 Inductive Reasoning Lesson Objectives Page 57 Standards Lesson Notes Page 58 2.1 Inductive Reasoning and
2Reasoning and Proof. Prerequisite Skills. Before VOCABULARY CHECK SKILLS AND ALGEBRA CHECK
2Reasoning and Proof 2.1 Use Inductive Reasoning 2.2 Analyze Conditional Statements 2.3 Apply Deductive Reasoning 2.4 Use Postulates and Diagrams 2.5 Reason Using Properties from Algebra 2.6 Prove Statements
Ideas beyond Number. Activity worksheets
Ideas beyond Number Activity sheet 1 Task 1 Some students started to solve this equation in different ways: For each statement tick True or False: = = = = Task 2: Counter-examples The exception disproves
Geometry Benchmark Assessment #1
Geometry Benchmark Assessment #1 Multiple Choice Circle the letter of the choice that best completes the statement or answers the question. 1. When the net is folded into the rectangular prism shown beside
2-1 Inductive Reasoning and Conjecture
Write a conjecture that describes the pattern in each sequence. Then use your conjecture to find the next item in the sequence. 18. 1, 4, 9, 16 1 = 1 2 4 = 2 2 9 = 3 2 16 = 4 2 Each element is the square
Target 5.4: Use angle properties in triangles to determine unknown angle measurements 5.4: Parallel Lines and Triangles
Unit 5 Parallel and Perpendicular Lines Target 5.1: Classify and identify angles formed by parallel lines and transversals 5.1 a Parallel and Perpendicular lines 5.1b Parallel Lines and its Angle Relationships
2. 8, 6, 4, 2, 0,? [A] 2 [B] 2 [C] 3 [D] 1 [E] New Item. [A] 5 and 4 [B] 5 and 10 [C] 7 and 6 [D] 9 and 10
![2. 8, 6, 4, 2, 0,? [A] 2 [B] 2 [C] 3 [D] 1 [E] New Item. [A] 5 and 4 [B] 5 and 10 [C] 7 and 6 [D] 9 and 10](/thumbs/72/67056581.jpg "2. 8, 6, 4, 2, 0,? [A] 2 [B] 2 [C] 3 [D] 1 [E] New Item. [A] 5 and 4 [B] 5 and 10 [C] 7 and 6 [D] 9 and 10")
Identify the missing number in the pattern. 1. 3, 6, 9, 12, 15,? [A] 17 [B] 12 [C] 18 [D] 19 2. 8, 6, 4, 2, 0,? [A] 2 [B] 2 [C] 3 [D] 1 [E] New Item 3. Look for a pattern to complete the table. 4 5 6 7
Inductive Reasoning. L E S S O N 2.1
Page 1 of 6 L E S S O N 2.1 We have to reinvent the wheel every once in a while, not because we need a lot of wheels; but because we need a lot of inventors. BRUCE JOYCE Language The word geometry means
Lesson 10.1 Skills Practice
Lesson 10.1 Skills Practice Location, Location, Location! Line Relationships Vocabulary Write the term or terms from the box that best complete each statement. intersecting lines perpendicular lines parallel
Inductive and Deductive Reasoning
Inductive and Deductive Reasoning Name General Outcome Develop algebraic and graphical reasoning through the study of relations Specific Outcomes it is expected that students will: Sample Question Student
Multiples and Divisibility
Multiples and Divisibility A multiple of a number is a product of that number and an integer. Divisibility: A number b is said to be divisible by another number a if b is a multiple of a. 45 is divisible
FOM 11 Ch. 1 Practice Test Name: Inductive and Deductive Reasoning
FOM 11 Ch. 1 Practice Test Name: Inductive and Deductive Reasoning Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Justin gathered the following evidence.
Geometry Unit 2 Review Day 1 What to expect on the test:
Geometry Unit 2 Review Day 1 What to expect on the test: Conditional s Converse Inverse Contrapositive Bi-conditional statements Today we are going to do more work with Algebraic Proofs Counterexamples/Instances
Topic: Use Parallel Lines and Transversals. and transversals?
Topic: Use Parallel Lines and Transversals and transversals? Get a calculator, protractor and handouts from the back of the room Fill out your assignment sheet Have your Homework out to be graded Do the
Ch. 3 Parallel and Perpendicular Lines
Ch. 3 Parallel and Perpendicular Lines Section 3.1 Lines and Angles 1. I CAN identify relationships between figures in space. 2. I CAN identify angles formed by two lines and a transversal. Key Vocabulary:
NAME DATE. b) Then do the same for Jett s pennies (6 sets of 9 pennies with 4 leftover pennies).
NAME DATE 1.2.2/1.2.3 NOTES 1-51. Cody and Jett each have a handful of pennies. Cody has arranged his pennies into 3 sets of 16, and has 9 leftover pennies. Jett has 6 sets of 9 pennies, and 4 leftover
FOM 11 Ch. 1 Practice Test Name: Inductive and Deductive Reasoning
FOM 11 Ch. 1 Practice Test Name: Inductive and Deductive Reasoning Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Justin gathered the following evidence.
DIFFERENT SEQUENCES. Learning Outcomes and Assessment Standards T 2 T 3
Lesson 21 DIFFERENT SEQUENCES Learning Outcomes and Assessment Standards Learning Outcome 1: Number and number relationships Assessment Standard Investigate number patterns including but not limited to
Goldbach conjecture (1742, june, the 7 th )
Goldbach conjecture (1742, june, the 7 th ) We note P the prime numbers set. P = {p 1 = 2, p 2 = 3, p 3 = 5, p 4 = 7, p 5 = 11,...} remark : 1 P Statement : Each even number greater than 2 is the sum of
Assignment 5 unit3-4-radicals. Due: Friday January 13 BEFORE HOMEROOM
Assignment 5 unit3-4-radicals Name: Due: Friday January 13 BEFORE HOMEROOM Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Write the prime factorization
Name Date. Chapter 15 Final Review
Name Date Chapter 15 Final Review Tell whether the events are independent or dependent. Explain. 9) You spin a spinner twice. First Spin: You spin a 2. Second Spin: You spin an odd number. 10) Your committee
Find the coordinates of the midpoint of a segment having the given endpoints.
G.(2) Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the one- and two-dimensional coordinate systems to
CK-12 Geometry Inductive Reasoning
CK-12 Geometry Inductive Reasoning Learning Objectives Recognize visual and number patterns. Extend and generalize patterns. Write a counterexample. Review Queue a. Look at the patterns of numbers below.
1) 2) 3) 4) 5) Aim #56: How do we identify angles formed by intersecting lines? Do Now: Determine the value of all unknown angles o.
Aim #56: How do we identify angles formed by intersecting lines? Do Now: Determine the value of all unknown angles 1) 2) 3) y 92 x y x 123 39 4) 5) 1 43 o 2 3 B C F D E A 107 o 4 5 6 If angle
Name: Date: Per: A# c. Trace a copy of e and place it over g. What do you observe?
Name: Date: Per: A# In a previous course you probably learned the vocabulary and considered the relationships created by two intersecting lines. Now you will look at the vocabulary and relationships created
2 Reasoning and Proof
www.ck12.org CHAPTER 2 Reasoning and Proof Chapter Outline 2.1 INDUCTIVE REASONING 2.2 CONDITIONAL STATEMENTS 2.3 DEDUCTIVE REASONING 2.4 ALGEBRAIC AND CONGRUENCE PROPERTIES 2.5 PROOFS ABOUT ANGLE PAIRS
Warm-Up Up Exercises. 1. Find the value of x. ANSWER 32
Warm-Up Up Exercises 1. Find the value of x. ANSWER 32 2. Write the converse of the following statement. If it is raining, then Josh needs an umbrella. ANSWER If Josh needs an umbrella, then it is raining.
Learn to use translations, reflections, and rotations to transform geometric shapes.
Learn to use translations, reflections, and rotations to transform geometric shapes. Insert Lesson Title Here Vocabulary transformation translation rotation reflection line of reflection A rigid transformation
Parallel Line Converse Theorems. Key Terms
A Reversed Condition Parallel Line Converse Theorems.5 Learning Goals Key Terms In this lesson, you will: Write parallel line converse conjectures. Prove parallel line converse conjectures. converse Corresponding
Ideas beyond Number. Teacher s guide to Activity worksheets
Ideas beyond Number Teacher s guide to Activity worksheets Learning objectives To explore reasoning, logic and proof through practical, experimental, structured and formalised methods of communication
2.2. Special Angles and Postulates. Key Terms
And Now From a New Angle Special Angles and Postulates. Learning Goals Key Terms In this lesson, you will: Calculate the complement and supplement of an angle. Classify adjacent angles, linear pairs, and
The Basics: Geometric Structure
Trinity University Digital Commons @ Trinity Understanding by Design: Complete Collection Understanding by Design Summer 6-2015 The Basics: Geometric Structure Danielle Kendrick Trinity University Follow
UNIT 2: RATIONAL NUMBER CONCEPTS WEEK 5: Student Packet
Name Period Date UNIT 2: RATIONAL NUMBER CONCEPTS WEEK 5: Student Packet 5.1 Fractions: Parts and Wholes Identify the whole and its parts. Find and compare areas of different shapes. Identify congruent
Name: Date: Chapter 2 Quiz Geometry. Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: Date: Chapter 2 Quiz Geometry Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What is the value of x? Identify the missing justifications.,, and.
Angles formed by Transversals
Section 3-1: Parallel Lines and Transversals SOL: None Objectives: Identify the relationships between two lines or two planes Name angles formed by a pair of lines and a transversal Vocabulary: Parallel
Fair Game Review. Chapter 7. Name Date
Name Date Chapter 7 Fair Game Review Use a protractor to find the measure of the angle. Then classify the angle as acute, obtuse, right, or straight. 1. 2. 3. 4. 5. 6. 141 Name Date Chapter 7 Fair Game
Geometry - Midterm Exam Review - Chapters 1, 2
Geometry - Midterm Exam Review - Chapters 1, 2 1. Name three points in the diagram that are not collinear. 2. Describe what the notation stands for. Illustrate with a sketch. 3. Draw four points, A, B,
Use a proportion to solve the problem. 1) If 5 sandwich rolls cost $0.80, how much will 21 rolls cost? A) $4.36 B) $6.00 C) $3.36 D) $4.
Assignment 6.4-6.6 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use a proportion to solve the problem. ) If 5 sandwich rolls cost $0.80, how
Lesson 9.1 Assignment
Lesson 9.1 Assignment Name Date Earth Measure Introduction to Geometry and Geometric Constructions Use a compass and a straightedge to complete Questions 1 and 2. 1. Construct a flower with 12 petals by
PART I: NO CALCULATOR (115 points)
Prealgebra Practice Midterm Math 40 OER (Ch. 1-4) PART I: NO CALCULATOR (115 points) (1.) 1. Find the difference. a) 578 80 480 b) 10 165 51 (1.). Multiply the given numbers. 684 9. Divide the given numbers.
Step 2: Extend the compass from the chosen endpoint so that the width of the compass is more than half the distance between the two points.
Student Name: Teacher: Date: District: Miami-Dade County Public Schools Test: 9_12 Mathematics Geometry Exam 1 Description: GEO Topic 1 Test: Tools of Geometry Form: 201 1. A student followed the given
Chapter 01 Test. 1 Write an algebraic expression for the phrase the sum of g and 3. A 3g B 3g + 3 C g 3 D g Write a word phrase for.
hapter 01 Test Name: ate: 1 Write an algebraic expression for the phrase the sum of g and 3. 3g 3g + 3 g 3 g + 3 2 Write a word phrase for. negative 5 minus 4 plus a number n negative 5 minus 4 times a
CS 202, section 2 Final Exam 13 December Pledge: Signature:
CS 22, section 2 Final Exam 3 December 24 Name: KEY E-mail ID: @virginia.edu Pledge: Signature: There are 8 minutes (3 hours) for this exam and 8 points on the test; don t spend too long on any one question!
6-3 Conditions for Parallelograms
Warm Up Justify each statement. 1. 2. Reflex Prop. of Conv. of Alt. Int. s Thm. Evaluate each expression for x = 12 and y = 8.5. 3. 2x + 7 4. 16x 9 31 183 5. (8y + 5) 73 Objective Prove that a given quadrilateral
Rosen, Discrete Mathematics and Its Applications, 6th edition Extra Examples
Rosen, Discrete Mathematics and Its Applications, 6th edition Extra Examples Section 1.7 Proof Methods and Strategy Page references correspond to locations of Extra Examples icons in the textbook. p.87,
Your written assignment is to complete the written practice for lessons 5, 10, and 14. You will find those questions on the following pages.
Math Saxon Course 3 Summer Packet To prepare for your 8 th grade math course you need to watch the 8 videos listed on the ACE website. Please make sure that you watch them carefully and fully understand
Number Theory/Cryptography (part 1 of CSC 282)
Number Theory/Cryptography (part 1 of CSC 282) http://www.cs.rochester.edu/~stefanko/teaching/11cs282 1 Schedule The homework is due Sep 8 Graded homework will be available at noon Sep 9, noon. EXAM #1
Day Opener. 112; 156; a late start short period.
Day 24 1. Opener a) If the month is October then it has 31 days. True or false? What is the converse? Is the converse true or false? Explain. b) A football team runs 3 yards every play. If they started
Learning Log Title: CHAPTER 1: INTRODUCTION AND REPRESENTATION. Date: Lesson: Chapter 1: Introduction and Representation
CHAPTER 1: INTRODUCTION AND REPRESENTATION Date: Lesson: Learning Log Title: Toolkit 2013 CPM Educational Program. All rights reserved. 1 Date: Lesson: Learning Log Title: Toolkit 2013 CPM Educational
I Can Name that Angle in One Measure! Grade Eight
Ohio Standards Connection: Geometry and Spatial Sense Benchmark C Recognize and apply angle relationships in situations involving intersecting lines, perpendicular lines and parallel lines. Indicator 2
Multiple : The product of a given whole number and another whole number. For example, some multiples of 3 are 3, 6, 9, and 12.
1.1 Factor (divisor): One of two or more whole numbers that are multiplied to get a product. For example, 1, 2, 3, 4, 6, and 12 are factors of 12 1 x 12 = 12 2 x 6 = 12 3 x 4 = 12 Factors are also called
CHAPTER 3. Parallel & Perpendicular lines
CHAPTER 3 Parallel & Perpendicular lines 3.1- Identify Pairs of Lines and Angles Parallel Lines: two lines are parallel if they do not intersect and are coplaner Skew lines: Two lines are skew if they
Lesson 25 Angle Relationships Worksheet Answers
LESSON 25 ANGLE RELATIONSHIPS WORKSHEET ANSWERS PDF - Are you looking for lesson 25 angle relationships worksheet answers Books? Now, you will be happy that at this time lesson 25 angle relationships worksheet
Unit 3. Parallel and Perpendicular Lines. a. n and m. b. p and q. c. n and p. Sep 14 7:54 AM. Sep 14 7:58 AM. Sep 14 8:07 AM.
3.1 Relationships between lines Unit 3 -- Parallel and Perpendicular Lines Parallel lines lie in the same plane do not intersect Perpendicular lines lie in the same plane intersect to form right angles
VISUAL ALGEBRA FOR COLLEGE STUDENTS. Laurie J. Burton Western Oregon University
VISUAL ALGEBRA FOR COLLEGE STUDENTS Laurie J. Burton Western Oregon University Visual Algebra for College Students Copyright 010 All rights reserved Laurie J. Burton Western Oregon University Many of the
Study Guide: 5.3 Prime/Composite and Even/Odd
Standard: 5.1- The student will a) identify and describe the characteristics of prime and composite numbers; and b) identify and describe the characteristics of even and odd numbers. What you need to know
CCM Unit 10 Angle Relationships
CCM6+7+ Unit 10 Angle Relationships ~ Page 1 CCM6+7+ 2016-17 Unit 10 Angle Relationships Name Teacher Projected Test Date Main Concepts Page(s) Unit 10 Vocabulary 2-3 Measuring Angles with Protractors
Unit 1 Foundations of Geometry: Vocabulary, Reasoning and Tools
Number of Days: 34 9/5/17-10/20/17 Unit Goals Stage 1 Unit Description: Using building blocks from Algebra 1, students will use a variety of tools and techniques to construct, understand, and prove geometric
Geometry Ch 3 Vertical Angles, Linear Pairs, Perpendicular/Parallel Lines 29 Nov 2017
3.1 Number Operations and Equality Algebraic Postulates of Equality: Reflexive Property: a=a (Any number is equal to itself.) Substitution Property: If a=b, then a can be substituted for b in any expression.
Parallel Lines And Angle Relationships Prek 12 Home
We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with parallel lines and angle
Rational. 8 h 24 h. A rational number is a number that can be written as the ratio of two integers = 1. ACTIVITY: Ordering Rational Numbers
. rational numbers? How can you use a number line to order The word rational comes from the word ratio. Recall that you can write a ratio using fraction notation. If you sleep for hours in a day, then
Addition quiz. Level A. 1. What is ? A) 100 B) 110 C) 80 D) What is ? A) 76 B) 77 C) 66 D) What is ?
Level A 1. What is 78 + 32? A) 100 B) 110 C) 80 D) 40 2. What is 57 + 19? A) 76 B) 77 C) 66 D) 87 3. What is 66 + 9? A) 76 B) 79 C) 74 D) 75 4. Adding two even numbers gives an even number. 5. Adding two
Consecutive Numbers. Madhav Kaushish. November 23, Learning Outcomes: 1. Coming up with conjectures. 2. Coming up with proofs
Consecutive Numbers Madhav Kaushish November 23, 2017 Learning Outcomes: 1. Coming up with conjectures 2. Coming up with proofs 3. Generalising theorems The following is a dialogue between a teacher and
MATH 135 Algebra, Solutions to Assignment 7
MATH 135 Algebra, Solutions to Assignment 7 1: (a Find the smallest non-negative integer x such that x 41 (mod 9. Solution: The smallest such x is the remainder when 41 is divided by 9. We have 41 = 9
RMT 2015 Power Round Solutions February 14, 2015
Introduction Fair division is the process of dividing a set of goods among several people in a way that is fair. However, as alluded to in the comic above, what exactly we mean by fairness is deceptively
HANDS-ON TRANSFORMATIONS: DILATIONS AND SIMILARITY (Poll Code 44273)
HANDS-ON TRANSFORMATIONS: DILATIONS AND SIMILARITY (Poll Code 44273) Presented by Shelley Kriegler President, Center for Mathematics and Teaching shelley@mathandteaching.org Fall 2014 8.F.1 8.G.3 8.G.4
Suppose that two squares are cut from opposite corners of a chessboard. Can the remaining squares be completely covered by 31 dominoes?
Chapter 2 Parent Guide Reasoning in Geometry Reasoning is a thinking process that progresses logically from one idea to another. Logical reasoning advances toward a conclusion in such a way as to be understood
Two congruences involving 4-cores
Two congruences involving 4-cores ABSTRACT. The goal of this paper is to prove two new congruences involving 4- cores using elementary techniques; namely, if a 4 (n) denotes the number of 4-cores of n,
Identify if each number is rational or irrational. Click "A" for rational. "B" for irrational
Bellwork CLICKERS!!!! Identify if each number is rational or irrational. Click "A" for rational. "B" for irrational Today's Agenda: 1. Bell Work: Rational or Irrational 2. CLICKER review Lesson Objective:
5.1, 5.2, 5.3 Properites of Exponents last revised 12/28/2010
48 5.1, 5.2, 5.3 Properites of Exponents last revised 12/28/2010 Properites of Exponents 1. *Simplify each of the following: a. b. 2. c. d. 3. e. 4. f. g. 5. h. i. j. Negative exponents are NOT considered
Patty Paper, Patty Paper
Patty Paper, Patty Paper Introduction to Congruent Figures 1 WARM UP Draw an example of each shape. 1. parallelogram 2. trapezoid 3. pentagon 4. regular hexagon LEARNING GOALS Define congruent figures.
5/6 Lesson: Angles, measurement, right triangle trig, and Pythagorean theorem
5/6 Lesson: Angles, measurement, right triangle trig, and Pythagorean theorem I. Lesson Objectives: -Students will be able to recall definitions of angles, how to measure angles, and measurement systems
Slopes of of Parallel and and Perpendicular Lines Lines Holt Algebra 1
5-8 Slopes of of Parallel and and Lines Warm Up Lesson Presentation Lesson Quiz Bell Quiz 5-8 Find the reciprocal. 1. 2 2. 1 pt 1 pt 1 pt 3. 2 pts 2 pts 2 pts Find the slope of the line that passes through
6.1B Lesson: Building Triangles Given Three Measurements*
6.1 Lesson: uilding Triangles Given Three Measurements* Name: Period: 1. ircle all the triangles with side lengths 8 and 5 and an included angle of 32. a. b. c. 2. ircle all the triangles with side lengths
Algebra 2. Slope of waste pipes
Algebra 2 Slope of waste pipes Subject Area: Math Grade Levels: 9-12 Date: Aug 25 th -26 th Lesson Overview: Students will first complete a worksheet reviewing slope, rate of change,, and plotting points.
Chapter 4 Trigonometric Functions
Chapter 4 Trigonometric Functions Section 1 Section 2 Section 3 Section 4 Section 5 Section 6 Section 7 Section 8 Radian and Degree Measure Trigonometric Functions: The Unit Circle Right Triangle Trigonometry
Unit 6: Quadrilaterals
Name: Period: Unit 6: Quadrilaterals Geometry Honors Homework Section 6.1: Classifying Quadrilaterals State whether each statement is true or false. Justify your response. 1. All squares are rectangles.
Grade: 8. Authors: Hope Phillips
Title: Lines and Transversals: An Introducty Lesson Pri Knowledge Needed: Grade: 8 Auths: Hope Phillips BIG Idea: Geometry: Lines Cut by a Transversal - how to determine and identify acute, right, obtuse,
Honors Algebra 2 w/ Trigonometry Chapter 14: Trigonometric Identities & Equations Target Goals
Honors Algebra w/ Trigonometry Chapter 14: Trigonometric Identities & Equations Target Goals By the end of this chapter, you should be able to Identify trigonometric identities. (14.1) Factor trigonometric
Chapter 1. Set Theory
Chapter 1 Set Theory 1 Section 1.1: Types of Sets and Set Notation Set: A collection or group of distinguishable objects. Ex. set of books, the letters of the alphabet, the set of whole numbers. You can
BELLWORK Vocabulary 4-5 MB pg. 182 CLICKERS!!
BELLWORK Vocabulary 4-5 MB pg. 182 CLICKERS!! square root principal square root perfect square October 02, 2012 Today's Agenda: 1. Bell Work: Vocabulary Ch. 4-5 2. Assignment Sheet 3. HW: 4-4 Practice
Partizan Kayles and Misère Invertibility
Partizan Kayles and Misère Invertibility arxiv:1309.1631v1 [math.co] 6 Sep 2013 Rebecca Milley Grenfell Campus Memorial University of Newfoundland Corner Brook, NL, Canada May 11, 2014 Abstract The impartial
Name Period GEOMETRY CHAPTER 3 Perpendicular and Parallel Lines Section 3.1 Lines and Angles GOAL 1: Relationship between lines
Name Period GEOMETRY CHAPTER 3 Perpendicular and Parallel Lines Section 3.1 Lines and Angles GOAL 1: Relationship between lines Two lines are if they are coplanar and do not intersect. Skew lines. Two
Real Numbers and the Number Line. Unit 1 Lesson 3
Real Numbers and the Number Line Unit 1 Lesson 3 Students will be able to: graph and compare real numbers using the number line. Key Vocabulary: Real Number Rational Number Irrational number Non-Integers
Cross Sections of Three-Dimensional Figures
Domain 4 Lesson 22 Cross Sections of Three-Dimensional Figures Common Core Standard: 7.G.3 Getting the Idea A three-dimensional figure (also called a solid figure) has length, width, and height. It is
Connected Mathematics 2, 6 th and 7th Grade Units 2009 Correlated to: Washington Mathematics Standards for Grade 5
Grade 5 5.1. Core Content: Multi-digit division (Operations, Algebra) 5.1.A Represent multi-digit division using place value models and connect the representation to the related equation. 5.1.B Determine
Axiom A-1: To every angle there corresponds a unique, real number, 0 < < 180.
Axiom A-1: To every angle there corresponds a unique, real number, 0 < < 180. We denote the measure of ABC by m ABC. (Temporary Definition): A point D lies in the interior of ABC iff there exists a segment
Received: 10/24/14, Revised: 12/8/14, Accepted: 4/11/15, Published: 5/8/15
#G3 INTEGERS 15 (2015) PARTIZAN KAYLES AND MISÈRE INVERTIBILITY Rebecca Milley Computational Mathematics, Grenfell Campus, Memorial University of Newfoundland, Corner Brook, Newfoundland, Canada rmilley@grenfell.mun.ca
G E N E R A L A P T I T U D E
G E N E R A L A P T I T U D E Aptitude for GATE The GATE syllabus for General Aptitude is as follows: Verbal Ability: English grammar, sentence completion, verbal analogies, word groups, instructions,
Mod 21 Test Review GEO
Name: Class: Date: ID: Mod 2 Test Review GEO Multiple Choice Identify the choice that best completes the statement or answers the question.. Let U be the set of all integers from to 20. Let = {, 3, 6,
Discrete Math Class 4 ( )
Discrete Math 37110 - Class 4 (2016-10-06) 41 Division vs congruences Instructor: László Babai Notes taken by Jacob Burroughs Revised by instructor DO 41 If m ab and gcd(a, m) = 1, then m b DO 42 If gcd(a,
Table of Contents. Table of Contents 1
Table of Contents 1) The Factor Game a) Investigation b) Rules c) Game Boards d) Game Table- Possible First Moves 2) Toying with Tiles a) Introduction b) Tiles 1-10 c) Tiles 11-16 d) Tiles 17-20 e) Tiles
You MUST know the big 3 formulas!
Name 3-13 Review Geometry Period Date Unit 3 Lines and angles Review 3-1 Writing equations of lines. Determining slope and y intercept given an equation Writing the equation of a line given a graph. Graphing
Perry High School. Geometry: Week 3
Geometry: Week 3 Monday: Labor Day! Tuesday: 1.5 Segments and Angle Bisectors Wednesday: 1.5 - Work Thursday: 1.6 Angle Pair Relationships Friday: 1.6-Work Next Week 1.7, Review, Exam 1 on FRIDAY 1 Tuesday:
Chapter 3 Parallel and Perpendicular Lines Geometry. 4. For, how many perpendicular lines pass through point V? What line is this?
Chapter 3 Parallel and Perpendicular Lines Geometry Name For 1-5, use the figure below. The two pentagons are parallel and all of the rectangular sides are perpendicular to both of them. 1. Find two pairs
1.6 Congruence Modulo m
1.6 Congruence Modulo m 47 5. Let a, b 2 N and p be a prime. Prove for all natural numbers n 1, if p n (ab) and p - a, then p n b. 6. In the proof of Theorem 1.5.6 it was stated that if n is a prime number
What s a Widget? EXAMPLE A L E S S O N 1.3
Page 1 of 7 L E S S O N 1.3 What s a Widget? Good definitions are very important in geometry. In this lesson you will write your own geometry definitions. Which creatures in the last group are Widgets?
The diagram shows the construction of PS through point F that is parallel to RQ. Can the statement justify that. Unit 4, 29.2
In the construction for bisecting a segment, make sure you open the compass to a length half the length of the line segment and use the same setting to draw an arc from each endpoint. Unit 4, 29.1 In the
Modeling Geometric Figures. How can you apply geometry concepts to solve real-world problems? 1 cm in the drawing equals 7 feet in the actual yard.
? UNIT 4 Study Guide Review MODULE 8 ESSENTIAL QUESTION Modeling Geometric Figures How can you apply geometry concepts to solve real-world problems? EXAMPLE 1 Use the scale drawing to find the perimeter
Title: Quadrilaterals Aren t Just Squares
Title: Quadrilaterals ren t Just Squares Brief Overview: This is a collection of the first three lessons in a series of seven lessons studying characteristics of quadrilaterals, including trapezoids, parallelograms,