Chapter Four, Part One
Unit 2 – Intro to Geometry
Pre-AP Geometry – Schwarz
Before Learning Objective After Learning
|______ |Use logical arguments. Conditional and Converses Statements. (book 2.2) |_______ |
|______ |Determine the truth values of inverses and contrapositives. (book 2.2) LTF LR |_______ |
|______ |Use logical reasoning skills (inductive and deductive) to make and test conjectures. |_______ |
|______ |Formulate Counterexamples. (book 2.1 and 2.3) |_______ |
|______ |Use postulates involving points, lines and planes. (book 2.4) |_______ |
|______ |Use algebraic properties in logical arguments. (+. -. *, /, substitution, distributive, reflexive, symmetric, and transitive) (book 2.5) |_______ |
|______ |Prove geometric theorems. (book 2.6) |______ |
|______ |Learn and apply properties of special angle pairs. (book 2.7) |______ |
Date Topics Covered Classwork Homework
|Monday |Inductive Reasoning and Counterexamples |HW 2.1 pg 75 1-28 all (grade in class) |Work on “IF__, THEN ___” Poster |
|9/12 | | | |
|Tuesday 9/13 |Converse, Inverse, Contrapositive, |The Fire-Fish Story |Notes 2.1: Define conditional statement, hypothesis, conclusion, |
| |Bi-conditional | |negation, equivalent statements, perpendicular lines, |
| | |Learn about conditional statements, converse, inverse, & contrapositive. |bi-conditional statement; Do the Guided Practice 1-4, 7-12 |
| | | | |
| | |Present IF/THEN posters | |
|Wed |Converse, Inverse, Contrapositive, |HW 2.2 pg 82 8-24 all |Think of one fact about you that no one else knows. |
|9/14 |Bi-conditional |Please write neatly ( |HW 2.2B pg 85 40-55 |
|Thursday |Law of Syllogism and Law of Det. |Deductive Reasoning Class Activity |Get online and play copse and robbers…go to my website for link: |
|9/15 | | | |
|Date |Topics Covered |Classwork |Homework |
|Friday |Use deductive reasoning to form a logical |HW 2.3 pg 90 4-13, 16-19, 21-28, 30-35 |Read and write the 7 Important postulate in your notes |
|9/16 |argument. | | |
|Monday |NO SCHOOL |TEACHER WORK DAY | |
|9/19 | | | |
|Tuesday 9/20 |The 7 important postulates |HW 2.4 pg 99 4-24, 46, 48, 50, 56 |Read and take notes over 2.5. You should have all the Key Concept boxes|
| | | |copied you your notes. |
|Wed. |Properties from Algebra: +, -, *, /, |Sort Activity |Read 2.6. Explain in your notes what the process is for writing a two |
|9/21 |substitution, distributive, Reflexive, | |column proof. What goes first? Last? What is the difference between |
| |Symmetric, Transitive |HW 2.5 pg 108 1-5, 12-17, 21-33 |statements and reasons? Is order important? |
|Thursday 9/22 |Proofs and Angle Pair Relationships |HW 2.6 pg 116 3-12, 16, 21-24, 32-34 | |
|Friday 9/23 |Proofs and Angle Pair Relationships |Writing Proofs – Class activity | |
|Monday |Proofs and Angle Pair Relationships |HW 2.7 pg 128-129 8-34 even, 37, 38, 49-53 | |
|9/26 | | | |
|Tuesday 9/27 |Review |TBD | |
|Wed 9/28 |UNIT 2 TEST | | |
Unit 2 Vocabulary
Conditional
Converse
Inverse
Contrapositive
Bi-conditional
Negation
Counter-example
Perpendicular Lines
Law of Syllogism
Law of Detachment
Postulate
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