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Geometry Unit 2: Reasoning and Proofs

Learn about linear equations, deductive reasoning, properties of segments and angles, and how to prove statements about segments and angles.

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Geometry Unit 2: Reasoning and Proofs

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  1. Geometry Unit 2 Reasoning

  2. Unit 2 Lesson 3 DO NOWAre you: Usually part of the answer?Or Are you: Usually part of the problem?Find the linear Equation of the line that goes through the coordinates :(3, 6) and (5, 3) In-class Section 2 - 2 Homework Page 82-83 (13-37) ALL • Recognize and use definitions • Recognize and use bi-conditional • (IF and ONLY IF) • In class • Page 79 Examples 1, 2, 3 • Page 82 1 – 11 ODD • Page 82-83 • (13-37) ODD

  3. Unit 2 Lesson 4 Oct 3rd Chap 2 – 3Deductive Reasoning Do Now: Do you: Usually have an excuse? Or Do you: Usually have a plan? Page 85 #’s 67, 68 Homework: Page 91 (8-20) All In CLASS Use symbolic notation to represent logical statements Pg 87 – 89 Examples 1, 2, 3 Page 91 #’s 1  9 All

  4. Unit 2 Lesson 5 Oct 4 Chap 2 – 3Deductive Reasoning part two Do Now Find the linear Equation that goes through the points (4.5, 6) and (5.25, 4.2) Homework Page 92 #’s 33  45 ODD Study for Quiz • IN Class • Form conclusions by applying the laws of logic to true statements • Examples 4, 5, 6 • Pg 94 #’s 56, 61 • Page 92 #’s (21-25) ODD, 31

  5. Unit 2 Lesson 6 Y = m(x) + B TEST Do Now • Find the equation of the line that passes through coordinates • A= (7.5, 6) B=(9.7, - 3) • m= y/x = (6 - -3) / (7.5 – 9.7) = 9 / -2.2 = - 4.0909 • y = - 4.0909 (x) + B • 6 = - 4.0909 (7.5) + B • 6 = - 30.682 + B • 36.682 = B • y = - 4.0909 (x) + 36.682 • check: • y = - 4.0909 (x) + 36.682 • -3 = - 4.0909 (9.7) + 36.682 • -3 = -39.6817 + 36.682 • -3 = -2.9997 -3

  6. Unit 2 Lesson 6 2 – 4 Use properties from algebraUse properties of length and measure to justify segment and angle relationships Homework Page 100 - 101 #’s 21  31 ALL • In class Page 96 copy properties into summary sheetSolve Example 5Page 100 - 101 #’s 21  31 ODD

  7. OCT 10 Unit 2 Lesson 8 2 – 5 Proving Statements about SEGMENTS Do Now Q Homework Page 104 - 106 #’s 1 – 15 ALL FINALIZE SUMMARY SHEET • Pg 99 #’s 6, 12 • IN CLASS: • Use segment congruence properties • Prove properties about special pairs of angles • Examples 1  3 • Page 104 - 106 • #’s 1 – 15 ODD

  8. Oct 11 Unit 2 Lesson 9 2 – 5Proving Statements about SEGMENTS Part 2 Do Now Homework FINALIZE SUMMARY SHEET Page 106 16  20 all Pg107#’s 29 – 30 #’s 35 -39 ODD • Pg 105 #’s 6 • Catch-up and review of segment • (and angles) proofs • In class • Page 106 16  20 all

  9. Oct 12 Unit 2 Lesson 10 2 – 6 Proving Statements about Angles Homework Page 112 - 113 #’s 1 – 17 ALL • Do NowPg 107 #’s 31  34 • Objectives: • Use angle congruence properties • Prove properties about special pairs of angles • In class • Page 109  110 Examples 1  3 • Page 112 - 113 • #’s 1 – 17 ODD

  10. Oct Unit 2 Lesson 11 2 – 6 Proving Statements about Angles Homework Page 113 - 115 #’s 18, 19 – 27 All • Do Now qFind the linear Equation going thru (2.3, 4.2) & (5.6, 6.5) • Objectives: • Use angle congruence properties • Prove properties about special pairs of angles • In class • Page 111  112 Examples4  6 • Page 113 - 115 • #’s 18, 19 – 27 ODD

  11. OCT 17 Unit 2 Lesson 12 Review Homework FINALIZE SUMMARY SHEET Page 118  120 1 – 17 ODD • Do Now • collect • Pg 113 #’s 15, 16 • OBJECTIVE:Review for Unit 2 Chapter 2 test • In class • Page 116 Quiz 2 1 – 9 All • Page 118 120 1 – 17 ODD

  12. OCT 18 Unit 2 Lesson 13 Review Homework FINALIZE SUMMARY SHEET Study for test Page 118  120 1 – 21 ODD • Warm up • Pg 114 #’s 25, 27 • OBJECTIVE: • PRACTICE TEST Review for Chapter 2 Assessment • In class • Page 118  120 • 1 – 21 ODD

  13. OCT 20 FAMILY WEEKEND THURSDAY!!!! Unit 2 Lesson 14 TEST Homework Prepares to teach your parents how to solve a LINEAREquation AND solve for a missing angle • Do Now • Unit Two TEST • Pg 122 #’s 1 - 11 ALL • Linear Equation thru (2.4, 5.30) & (5.30, 2.4)

  14. John Romac GEOMETRY Family Weekend Lesson Testing Parent’s Learning Homework Thank your parents for the opportunity they have provided you. For the rest of the weekend: Don’t Lie Don’t quit DO your best For the rest of the Weekend Do the FOUR P’s • Do Now 5 min • First -FIND the Linear Equation thru (2.4, 5.30) & (5.30, 2.4) • Second - If <ADB = 80° and <CDF = 130° then <BDE=_____ • WHY? A B C D E F

  15. Geometry • Course Objectives: • To Learn How to Learn • To be able to follow, create and validate Geometric and Logical Arguments • To be able to apply geometric concepts to real life situations • To work through academic and personal challenges • To identify the connection between a student’s moral character and intellectual character • THE FOUR P’s • Your attendance, as well as being Punctual with assignments • YourPreparedness every day, possession of proper materials as well as homework • Yourhaving a Positive attitude. (I can do this!) • And your Participation

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