1st 9 weeks Calendar – 2007-2008



Geometry GT/Honors 1st 9 weeks Calendar Part I – 2010-2011

|Monday |Tuesday |Wednesday |Thursday |Friday |

|August 23 |241-3 Points, Lines, Planes |251-4 Segments, Rays, Parallel |261-5 Measuring Segments and |27 |

|Obj: Review prerequisite skills | |Lines and Planes |Subsets of Lines | |

|from Algebra I. Establish |Obj: Develop an awareness of | | | |

|classroom norms, hand out |the structure of a mathematical |Obj: Compare and contrast |Obj: Find length of a segment |Obj: Review multiplying |

|Syllabus |system, connecting definitions |segments, rays, and lines. |on a number line. Integrate |binomials and factoring |

| |and postulates. |Define relationships between |the terms midpoint and bisect. |quadratics. |

| |HW: Page 19 #2-24 even; 30-44 |lines and planes. |Apply set theory to extend | |

|HW: WS – Do You Remember? |even; 46-49 all; 55-60 all; |HW: Page 25 # 4-10 all; 11-35 |knowledge of segments, rays, and|Quiz over Alg. Review, 1-3, and |

| |65-67 all |all; 39, 44, 45 |lines. |1-4. |

| |Hand out Square Roots Reminder |Page 20 #50-54 |HW: Page 33 #1-12 all; 29-33 | |

| |sheet |Assign Scavenger Hunt Due Friday|all; 36, 37 |HW: WS – Fun with Factoring |

| | | |WS – Subsets of Lines | |

|301-5 continued |31 Pythagorean Theorem and |11-8 The Coordinate Plane |21-8 Continued – Distance |3 Review |

| |Simplifying Radicals |Obj: Apply Pythagorean Theorem |Formula & Pythagorean Theorem | |

|Obj: Connect algebraic | |to find the distance between two| |Obj: Synthesize previous |

|descriptions to geometric sets |Obj: Review Pythagorean Theorem|points on the coordinate plane. |HW: WS – Distance Formula & |material taught for review. |

|of points and review factoring |and simplifying radicals. Work |Develop the midpoint formula. |Pythagorean Theorem (work | |

|concepts |an example where the sides of |Emphasize that the midpoint is |problems 11 & 13 in class) | |

|Class Notes/HW: WS – Subsets of |the rectangle are algebraic |the “average” of the endpoints. | | |

|Lines, Algebraic Connections |expressions |HW: Page 56 #3-9 odd; 10-17 all;|Quiz over 1-5, Subsets of Lines,|Homework: 1-1 Patterns and |

|WS – Distance and Segment |HW: WS – Simplifying Radical |19-31 odd; 41-43, 45, 48(change |factoring, Pythagorean Thm, & |Inductive Reasoning: page 6 |

|Measure #1-14 (work 11 & 13 as |Expressions & Pythagorean |directions so that answers are |simplifying radicals |#1-12; 17-24; 31-39 |

|examples in class) |Theorem |exact, not nearest tenth) | | |

| |WS – Distance & Segment Measure | | | |

|Practice Square Root Quiz |#15-20(more practice over 1-5) | | | |

|6 |7 Inductive, Deductive, |8 |9 |10 |

| |Intuitive, & Counterexample |Test | | |

|Labor Day |(also continue review for test) |Unit 1: Algebra, 1-3, 4, 5, 8 | | |

|No School | |and Pythagorean Theorem | | |

| |Obj: Compare and contrast | | | |

| |inductive, deductive, and | | | |

| |intuitive reasoning. Understand| | | |

| |and construct counterexamples. | | | |

| | | | | |

| |HW: WS – Kinds of Reasoning, | | | |

| |Review for Test | | | |

|WS – Do You Remember? |18. line VW |14. lines CL, DH, & BG |31. false; AC=9, BD=9, AD=11 |7. 6 8. [pic] 9. [pic] |

|1. 12 2. 19 3. 23 4. 2 |20. line TX |15. line AF 16. true |32. true; AC=9, CD=2, AD=11 |10. [pic] 11. 28 12. 5 |

|5. -13 6. 23 7. -5 8. 9 |22. planes XWST & TSRQ |17. false; they are skew |33. 2 or 12 36. 30 |13. 27 14. 20 15. 72 |

|9. 10 10. 2 11. -15 |24. planes XWVU & VWSR |18. true 19. false; they |37. (a) GK = 5x (b) 9, 15 |16. [pic] 17. 10 18. 8 |

|12. 20/9 13. x2 + x – 20 |30. S 32. R 34. X |will intersect above segment CG |WS – Subsets of Lines |19. [pic] 20. [pic] 21. 2 |

|14. x2 + 6x + 9 15. x2 – 36 |36. yes 38. coplanar |20. true 21. false; they |1. true 2. false 3. true |22. 12 23. 8 24. 10 25.|

|16. 2x2 + 7x -15 |40. noncoplanar |are coplanar and will intersect |4. false 5. true 6. true |15 |

|17. [pic] 18. [pic] |42. noncoplanar |above point A. 22. false; |7. segment EF 8. point F |26. B 27. C 28. no 29. E |

|19. [pic] 20. M(4, 3) |44. Through any 3 noncollinear |they are || |9. line DG 10. point E |30. A 31. B 32. B 33. A |

|21. A(0, 4) 22. T(-3, 2) |points there is exactly one |23. false; they are || |11. ray ED 12. segment EG |Page 56 |

|23. H(-2, -3) 24. E(1, -4) |plane. The ends of the legs of |24. diagram 25. A 26. N|13. line DG 14. point F |3. 8 5. [pic] 7. 25 9. |

|25. I(5, 0) 26. check in |the tripod represent three |27. A 28. A 29. N |15. line DG 16. ray DG |[pic] |

|class |noncollinear points, so they |30. S |17. segment EF 18. ray DG |10. 9 11. [pic] 12. [pic] |

|27. yes 28. yes 29. |rest in one plane. Therefore, |31. A 32. S 33. S |19. segment FG 20. segment DG |13. [pic] 14. [pic] 15. [pic]|

|no |the tripod won’t wobble. |34. C |WS – Subsets of Line – Alg Con. |16. 5 17. B, C, D, E, F |

|30. A(-5, 4) 31. B(0, 4) |46. diagram 47. not possible |35. Samples:(0, 0), (-2, -3), |1. d 2. a 3. h 4. g 5. I|19. M(3, 1) 21. M(6, 1) |

|32. C(3, 0) 33. D(3, -2) |48. diagram 49. not possible |(-4, -6) |6. a |23. [pic] 25. S(5, -1) |

|34. E(0, -2) 35. F(-5, 0) |55. A 56. N 57. A |39.(a)the lines of intersection |7. l 8. k 9. j 10. c |27. S(12, -24) 29. S(5.5, |

|36. Examples: (0, 5), (-2, 3) |58. A 59. S 60. N |are || |11. segment BC 12. ray BA |-13.5) |

|and (-5, 0) are on the graph. |65. Through any two points, |(b)Sample: The ceiling & floor |13. segment AB 14. ray AD |31. (4, -11) 41. IV 42. the |

|(0, 0) is not on the graph. |there is exactly one line. |are || planes. A wall |15. segment AD 16. ray CD |midpoints of AC and BD are both |

|37. Examples: (1, -3), (2, 3),|66. If two planes intersect, |intersects both. The lines of |17. segment BC 18. ray CA |(5, 4) 43. B 48. Z is |

|and (1.5, 0) are on the graph. |then they intersect in exactly |intersection are ||. |WS – Distance & Seg Measure |closer, the distance is [pic] or|

|(0, 0) is not on the graph. |one line. |44. line QR |1. C 2. A 3. A 4. A 5. B|about 12 in. |

|38. x=1; y=6 39. x=3; y=2 |67. The end of one leg might |45. (a) yes (b) no (c) yes | |WS – Distance Formula & |

|40. x=5; y=10 |not be coplanar with the ends of|Page 20 |6. C 7. A 8. C 9. B 10. |Pythagorean Theorem |

|Page 19 |the other three legs. |50. no 51. no 52. yes |A |1. 4 2. 7 3. 3 4. 10 5. |

|2. yes; line n |Page 25 |53. yes |11. (a) AB=16, BC=8; (b) AB=48, |6 |

|4. yes; line m |4. segment DF 5. segment |54. C |BC=24; (c) not possible |6. AB=[pic], h=2, v=5 |

|6. no |BC |Page 33 |12. (a) AB=18, BC=6; (b) AB=36, |7. BC = [pic], h=3, v=9 |

|8. yes; line m |6. segments BE and CF |1. AC = BD = 9 congruent |BC=12; (c) not possible |8. DA = [pic], h=7, v=4 |

|10. Sample: Line BC, BF, BD |7. segments BE, DE, & EF |2. BD=9; CE=6; not congruent |13. (a) AB=3, BC=15; (b) not |9. DC = 12, h=12, v=0 |

|12. EFHG (use 3 letters) |8. segments AD, AB, and AC |3. AD=11; BE=13; not congruent |possible; (c) AB=4.5, BC=22.5 |10. CA = [pic], h=5, v=4 |

|14. EDCG (use 3 letters) |9. segments BC & EF |4. BC=7; CE=6; not congruent |14. (a) AB=25/7, BC=150/7; (b) |11. AB=[pic], BC=[pic] |

|16. GCBH (use 3 letters) |10. planes ABC and DEF |5. XY=ZW=4; congruent |not possible; (c) AB=5, BC=30 | |

| |11. sample: line BC & plane |6. ZX=WY=8; congruent |WS – Simplifying Radicals & | |

| |DEF |7. YZ=4; XW=12; not congruent |Pythagorean Theorem | |

| |12. line FG |8. 24 9. 25 |1. [pic] 2. [pic] 3. [pic] | |

| |13. lines CD, LH, FG, AB, DG, |10. (a) x=13 (b) RS=40; ST=24 |4. [pic] 5. [pic] 6. [pic] | |

| |BH (list any 2) |11. (a) y=7 (b) RS=60, ST=36, | | |

| | |RT=96 | | |

| | |12. (a) XA=9 (b) AY=9, XY=18 | | |

| | |29. true; AB=CD=2 | | |

| | |30. false; BD=9, CD=2 | | |

|WS – Distance & Pyth. Thm. |WS – Kinds of Reasoning |WS–Rewriting If Then Statements |Page 84 |48. If a figure is a square, |

|12. BC=[pic], AB=[pic] |1. False – Jane could be your |1. If you are a geometry |37. A |then it has four congruent |

|13. AB=[pic], BC=[pic] |younger sister |student, then you love to |38. If we’re half the people, |angles. True. |

|14. AB=[pic], BC=[pic] |2. False – A sophomore might |factor. |then we should be half the |49. If a figure has four |

|15. AB=[pic], AC=[pic] |also be in geometry |2. If you finish your homework, |Congress. |congruent angles, then it is a |

|16. x=11, BC=8, AB=6 |3. False – A freshman could be |then you can play. |39. If a work is great, then it|square. False. a rectangle |

|17. x=9, BC=12, AC=13 |in Algebra I. |3. If you do your chores, then |is made out of a combination of |that is not a square. |

|18. x=10, AB=8, BC=15, AC=17 |4. False – You may have been |you will get your allowance. |obedience and liberty. |50. If a figure has four |

|19. x=8, AB=5, BC=13, AC=12 |swimming. |4. If Sally breaks curfew, then |40. If a problem is well |congruent sides, then it has |

|20. x=11, AB=10, BC=8 |5. True |she is grounded. |stated, then it is half solved. |four congruent angles. False. |

|Page 6 |6. False – The measure of the |5. If you fail, then you are not|41. If x = 18, then x – 3 = 15.|a rhombus that is not a square. |

|1. 80, 60 2. 33333, 333333 |angle could be any other number |eligible. |True |51. If a figure has four |

|3. -3, 4 4. 1/16, 1/32 5. 3,|between 0 and 90 except 36. |6. If you have a driver’s |42. If –y is positive, then y |congruent angles and four |

|0 |7. False – 6 is a |license, then you can legally |is negative. True. |congruent sides, then it is a |

|6. 1, 1/3 7. N, T 8. J, J |counterexample. |drive. |43. If |x|=6, then x = -6. |square. True. |

|9. 720, 5040 10. 64, 128 |8. True |7. If Mom clips coupons, then |False. x=6 |52. If you spend a few extra |

|11. 1/36, 1/49 12. 1/5, 1/6 |9. True |she saves money. |44. If x2 > 0, then x < 0. |bucks, then you can have |

|17-18 drawings |10. False m[pic]A=40 and |8. If Jimmy gets a good grade, |False. x=3 |Treadmasters tires. |

|19. 42 20. 930 21. 10100 |m[pic]B=40, etc. |then he is happy. |45. If x2 = 4, then x = 2. |54. If two lines intersect, |

|22. The sum of the first 100 odd|1. inductive |9. If you don’t turn in your |False. x=2. |then they meet in exactly one |

|numbers is 1002 or 10000. |2. deductive |homework, then you will get a |46. If x3 < 0, then x < 0. |point. |

|23. 555,555,555 |3. deductive |zero. |True. |55. If two planes intersect, |

|24. 123,454,321 |4. intuitive |10. If you are happy, then you |47. (a) If you want to look |then they meet in exactly one |

|31. 31, 43 32 10, 13 |5. inductive |will do well. |good at the beach this summer, |line. |

|33. 0.0001, 0.00001 |6. none of these | |then join GoodFit Health Club. |56. If two figures are |

|34. 201, 202 35. 63, 127 |7. deductive | |(b) If I join GoodFit Health |congruent, then they have equal |

|36. 31/32, 63/64 37. J, S |8. inductive | |Club, then I will look good at |areas. |

|38. CA, CO 39. B, C |9. intuitive | |the beach this summer. |57. If two points are given, |

| |10. deductive | |(c) Al’s statement means that |then there is exactly one line |

| |11. intuitive | |joining the club will make him |through them. |

| |12. inductive | |look good. The ad statement |58. If three noncollinear |

| | | |does not guarantee that he will |points are given, then there is |

| |Page 83 | |look good. |exactly one plane that contains |

| |Will check answers in class. | | |them. |

| | | | |59. All integers that are |

| | | | |divisible by 8 are divisible by |

| | | | |2. |

| | | | |60. No triangles are squares. |

| | | | |(or No squares are triangles.) |

| | | | |61. Some students are |

| | | | |musicians. (or Some musicians |

| | | | |are students.) |

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