Logic and Proof (Geometry Curriculum - Unit 2) | All Things Algebra®
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Description
This Logic and Proof Unit Bundle contains guided notes, homework assignments, four quizzes, a study guide and a unit test that cover the following topics:
• Inductive Reasoning and Conjectures
• Compound Statements and Truth Tables
• Conditional Statements
• Related Conditionals (Inverse, Converse, Contrapositive)
• Biconditional Statements
• Venn Diagrams with Logic Statements
• Deductive Reasoning (Law of Detachment and Law of Syllogism)
• Properties of Equality (Addition, Subtraction, Multiplication, Division, Distributive, Substitution, Reflexive, Symmetric, Transitive)
• Algebraic Proofs
• Properties of Congruence (Reflexive, Symmetric, Transitive)
• Segment Proofs
• Angle Proofs
Please download the preview to see a sample outline along with a collage of some of the pages.
Definitions, Postulates, and Theorems included in the proofs:
Definition of Congruence, Definition of Midpoint, Definition of Complementary Angles, Definition of Supplementary Angles, Definition of Angle Bisector, Definition of Perpendicular, Definition of a Right Angle, Segment Addition Postulate, Angle Addition Postulate, Vertical Angles Theorem, Complement Theorem, Linear Pairk (Supplement) Theorem, Congruent Complements Theorem, Congruent Supplements Theorem
ADDITIONAL COMPONENTS INCLUDED:
(1) Links to Instructional Videos: Links to videos of each lesson in the unit are included. Videos were created by fellow teachers for their students using the guided notes and shared in March 2020 when schools closed with no notice. Please watch through first before sharing with your students. Many teachers still use these in emergency substitute situations. (2) Editable Assessments: Editable versions of each quiz and the unit test are included. PowerPoint is required to edit these files. Individual problems can be changed to create multiple versions of the assessment. The layout of the assessment itself is not editable. If your Equation Editor is incompatible with mine (I use MathType), simply delete my equation and insert your own.
(3) Google Slides Version of the PDF: The second page of the Video links document contains a link to a Google Slides version of the PDF. Each page is set to the background in Google Slides. There are no text boxes; this is the PDF in Google Slides. I am unable to do text boxes at this time but hope this saves you a step if you wish to use it in Slides instead!
This resource is included in the following bundle(s):
Geometry First Semester Notes Bundle
Geometry Curriculum
Geometry Curriculum (with Activities)
More Geometry Units:
Unit 1 – Geometry Basics
Unit 3 – Parallel and Perpendicular Lines
Unit 4 – Congruent Triangles
Unit 5 – Relationships in Triangles
Unit 6 – Similar Triangles
Unit 7 – Right Triangles and Trigonometry Unit 8 – Polygons and Quadrilaterals
Unit 9 – Transformations
Unit 10 – Circles
Unit 11 – Volume and Surface Area Unit 12 – Probability
LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable , meaning they can not be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses. If you are a coach, principal, or district interested in transferable licenses to accommodate yearly staff changes, please contact me for a quote at [email protected].
COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.
© All Things Algebra (Gina Wilson), 2012-present
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Page Navigation
- Mr. Ebert's Home Page
- Chapter 1&2
- Unit 1 One Variable Data
- Chapter 1 Essentials of Geometry
- Chapter 2-1 - 2-5 & 2-8
- Unit 2 Probability and Randomness
Chapter 2 Reasoning and Proof
- Chapter 2-6 - 2-7
- Unit 3 Normal Distributions
- Chapter 3 Parallel and Perpendicular Lines
- Chapter 4 Congruent Triangles
- Chapter 5 Relationships Within Triangles
- Chapter 6 Similarity
- Semester 1 Final Exam Review
- Chapter 7 - Right Triangles and Trigonometry
- Chapter 8 - Quadrilaterals
- Chapter 9 - Properties of Transformations
- Chapter 10 - Properties of Circles
- Chapter 11 - Measuring Length and Area
- Chapter 12 - Surface Area and Volume of Solids
- Semester 2 Final Exam Review
- Semester 1 Exam Review
- Chapter 4-1 - 4-4 & 4-7
- Chapter 4-5 - 4-6 & 4-8
- Semester One Exam Review
- Chapter 6-1 - 6-2
- Chapter 6-3 - 6-5
- Semester Two Exam Review
- Unit 4 Two Variable Statistics
- Chapter 9-1 - 9-4
- Chapter 9-6 - 9-7
- Refresher Math
- Statistics Notes
- Unit 5 Confidence Intervals
- Unit 6 Statistical Testing
- Professional Development
Related Files
Chapter 2 Homework Packet
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 about segments and angles, 2-7 use proof with angle pairs.
Chapter 2 Review
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Deductive Reasoning
Unit 2 Lesson 1: Inductive Reasoning - Topic 1: Definition & Visual Problems - Topic 2: Number patters, Nth Term & Conjectures Lesson 2: Deductive Reasoning - Topic 1: Conditional Statements, Venn Diagrams & Implications - Topic 2: Converse, Inverse, Contrapositive & logic symbols - Topic 3: Point, Line & Plane Postulates - Topic 4: Biconditional Statements and Definitions Lesson 3: Rules of ...
Geometry Unit 2: Deductive Reasoning. Term. 1 / 5. Deductive Reasoning. Click the card to flip 👆. Definition. 1 / 5. The process of reasoning logically from given statements or facts to a conclusion.
Given a conditional statement and its hypothesis, then the conclusion is true; Given: p→q, p is true, ∴ q is true. Given p→q and q→r, ∴ p→r; like the transitive property of equality. If a=b, then a my be replaced with b in any expression or equation. If ∠A is complementary to ∠B and ∠C, then ∠B≅∠C. Study with Quizlet and ...
Topic 5: Deductive Reasoning 18. Given: If the football raises at least $5000, then they can buy The football team raised $800. uniforms. kam Cm bv Conclusion: TUJ unt%rmí. with Docerié Topic 5: Deductive Reasoning 17. Given: If two angl are vertical, then they are co ruent. Two angles are congruent. Conclusion: No Unclosnn with Docerié
This video covers section 2.5 about the Laws of Detachment and Syllogism in the discussion of deductive reasoning. This was recorded during an actual class ...
Deduction is drawing a conclusion from something known or assumed. This is the type of reasoning we use in almost every step in a mathematical argument. Mathematical induction is a particular type of mathematical argument. It is most often used to prove general statements about the positive integers.
Let's see, 5 times negative 2 is negative 10. 5 plus negative 2 is 3. That makes sense. Then he uses a 0 product property to solve the equation. That's just this property-- look, if you have two things and you take their product and it equals 0, one or both of them must be equal to 0. So that means x plus 5 is equal to 0, or x minus 2 is equal ...
In Example 1 the mechanic is using a law of deductive reasoning called the Law of Detachment. Quick Check 11 1 EXAMPLE Real-World Connection Deductive reasoning 2-3 Real-World Connection Careers An auto mechanic uses deductive reasoning as in Example 1. 11 Using the Law of Detachment Deductive Reasoning If a year is a leap year, then it has 366 ...
Inductive & Deductive Reasoning: Notes Presentation Worksheet. Skill #12: Reasoning in Algebra and Geometry: Notes Presentation Worksheet. Skill #13: Proving Congruent Angles: Notes Powerpoint Worksheet. Practice Test Unit 2 Exam #2. Powered by Create your own unique website with customizable templates.
Lesson 24 Deductive Reasoning (Prepares for GCO.C.9, GCO.C.10, and GCO.C.11) one day; pg 110 Hw (9, 17, 18, 28, & 30) Lesson 25 Reasoning in Algebra and Geometry (Prepares for GCO.C.9, GCO.C.10, and GCO.C.11) one and a half days; pg 117 Hw (5, 11, 20, 22, & 23)
Study with Quizlet and memorize flashcards containing terms like conjecture, deductive reasoning, conditional and more. hello quizlet. Home. Expert Solutions. Create. Subjects. Exams. IELTS® TOEFL® TOEIC® View all ... Unit 2: Reasoning Proof & Deductive Reasoning. Flashcards; Learn; Test;
Description. This Logic and Proof Unit Bundle contains guided notes, homework assignments, four quizzes, a study guide and a unit test that cover the following topics: • Inductive Reasoning and Conjectures. • Compound Statements and Truth Tables. • Conditional Statements.
View U2D5_-_HW_-_Deductive_Reasoning.pdf from ME 12332 at Woodson H.d. Shs. Geometry: Unit 2 - Logic & Reasoning Name: _ Day 5 - HW - Deductive Reasoning • If Deductive Reasoning was used, state AI Homework Help
Section 2.1 Reasoning and Proof. G.6: Proof and Reasoning. Students apply geometric skills to making conjectures, using axioms and theorems, understanding the converse and contrapositive of a statement, constructing logical arguments, and writing geometric proofs. G.1.1: Demonstrate understanding by identifying and giving examples of undefined ...
Chapter 2 Homework Packet. 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 About Segments and Angles. 2-7 Use Proof With Angle Pairs. Chapter 2 Review.
2.0 Solving System of Equations Homework. Extra Practice 2.0 Solving Systems of Equations Notes. ... 2.2 Deductive Reasoning Practice: File Size: 50 kb: File Type: pdf: Download File. ... Unit 2 Review AK: File Size: 1054 kb: File Type: pdf: Download File.
Study with Quizlet and memorize flashcards containing terms like inductive reasoning, deductive reasoning, Conjecture and more. ... Geometry unit 2 lesson 2 conditional statements. 12 terms. ykkhan. Preview. Geometry Unit 2- Lesson 3. 6 terms. valmoreno.
GP1.RL.2.3 The student will solve problems by drawing conclusions about points, lines, planes, and angles and justify statements using definitions, theorems, and postulates using properties of equality and problem solving techniques. SOL 7.16 The student will apply the following properties of operations with real numbers: a) The commutative and ...
2. The product of two numbers is always larger than either number. 3. The product of two perfect squares is always a perfect square. 4. If the area of a rectangle is 6 m2, then the dimensions must be 2 meters by 3 meters. 5. Dividing by 2 always produces a number less than the original number. 6. Vertical angles are never complementary angles. 7.
Question: Unit 5.2 DB: Inductive versus Deductive Reasoning At Define deductive and inductive reasoning . Compare deductive and inductive reasoning when determining the validity of information, you may use for data input and how could those difference affect the outcome of your analysis. • Examples: • Inductive analysis begins with ...
3.17 Unit Test: "Physical Fitness" 10 terms. andrew123453107. Preview. Chapters vocab . 60 terms. Mikaylabouie. Preview. English 2 Honors - "Fall of the House of Usher" ... Deductive Reasoning. uses facts, definitions, accepted properties, and the laws of logic to form a logical argument. Law of Detachment.
Quiz: Inductive & Deductive Reasoning Question 1 (1 point) Identify a pattern in each list of numbers. Then use this pattern to find the next number. 8, -40, 200, -1000, 5000, -25000 Question 2 (1 point) Identify a pattern in each list of numbers. Then use this pattern to find the next number. 17, 13, 9, 5, 1, 4 (-3) Question 3 0 / 1 point Identify a pattern in each list of numbers.
Study with Quizlet and memorize flashcards containing terms like inductive reasoning, conjecture, counterexample and more. ... Unit #11: Coordinate Graphing (6th Grade) Teacher 8 terms. Charity_Jamison6. Preview. geometry chapter 6. 5 terms. emilychavez83. Preview. Word lesson 51-55. 10 terms. rachelwatkins11227.