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Geometry for Enjoyment and Challenge – Chapter 1
Honors Geometry 2006 – 2007
REVISED 9/20/2006 - Please NOTE the changes on your syllabus!
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Terms and Definitions – See
options for dealing with vocabulary – due Monday, September 18
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1. |
angle |
15. |
congruent angles |
29. |
triangle inequality |
43. |
conditional/implication |
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2. |
endpoint |
16. |
congruent segments |
30. |
diagram assumptions
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44. |
converse |
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3. |
intersection |
17. |
degree |
31. |
theorem |
45. |
deductive structure
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4. |
line |
18. |
measure |
32. |
2-column proof parts |
46. |
definition |
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5. |
line segment |
19. |
minute |
33. |
theorem procedure |
47. |
hypothesis |
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6. |
number line |
20. |
obtuse angle |
34. |
bisect |
48. |
postulate |
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7. |
point |
21. |
protractor |
35. |
bisector |
49. |
law of syllogism |
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8. |
ray |
22. |
right angle |
36. |
midpoint |
50. |
contrapositive |
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9. |
segment |
23. |
second |
37. |
trisect |
51. |
inverse |
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10. |
side |
24. |
straight angle |
38. |
trisection points |
52. |
negation |
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11. |
triangle |
25. |
tick marks |
39. |
trisectors |
53. |
Venn Diagram |
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12. |
union |
26. |
collinear |
40. |
paragraph proof |
54. |
probability |
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13. |
vertex |
27. |
noncollinear |
41. |
counterexample |
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14. |
acute angle |
28. |
betweenness of pts. |
42. |
conclusion |
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Theorems Write out Theorems 1-3 (put numbers
next to them) and prove them. |
Constructions 1) copy a segment 2) copy
an angle
3) bisect a segment 4) bisect an angle
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Tuesday, September 12 1.1
Getting Started and PRE-Test
Objectives: You will be able to…
* recognize
points, lines, line segments, rays, angles and triangles
* define
an angle
* find
the results of unions and intersections of geometric figures
1.2 Measurement of Segments and Angles
* measure
segments and angles
* classify
angles by size
* recognize
congruent angles and segments
* name
the parts of a degree
Homework:
Read “letter to Students” (before chapter 1)
Read
and take notes on 1.1 and 1.2: Do page 7-8 (1-13) and
page 14-16 (4,5,8,9,10 ) |
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Wednesday, September 13
1.2 (cont) & 1.3 Collinearity, Betweenness, and Assumptions
Objectives: You will be able to…
*
recognize
collinear and noncollinear points
* recognize
when a point can be said to be between two others
* recognize
that each side of a triangle is shorter than the sum of the other
two sides
* correctly
interpret geometric diagrams
Homework: read
and take notes on 1.3 and do page 15-16 (11, 13, 15, 16, 18, 19,
20),p.21 (3-11)
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Thursday, September 14 1.7 & 1.8
Deductive Structure & Statements of Logic
Objectives: You will be
able to…
*
recognize
that geometry is based on deductive structure
* define
deductive structure, postulate, definition, conditional statements, implications, hypothesis, conclusion, converse, inverse, and contrapositive
* identify
undefined terms, postulates, and definitions
*
understand
the characteristics of theorems and the ways in which they can be
used in proofs
Homework: Read
and take notes on 1.7and read and take notes on 1.7 and do page 42
(5, 13) and page 48 (3-7, 9, 10) |
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Hand in Homework Due Monday, September 18
page 8 (# 14), page 16 (#
14), page 22 (# 12) and Vocab Assign.
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Friday,
September 15 Axiom Game
- click on the link to see some pictures
Homework: Finish Hand – in Homework and Vocabulary
Assignment (see page 1)
Monday,
September 18 Axiom Game
(cont) - click on the link to see some pictures
Homework:
page 22 (13–15) and logic problem
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Hand in Homework - Due Thursday, September 21
page 27 (#15) – show all algebra,
page 43 (#14), and page 48 (#8)
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Tuesday, September 19 - QUIZ over
1.1 – 1.3
Homework: *
read
and take notes on 1.4
Wednesday, September 20
- Explore Test for Freshmen - Take-Home Quiz and Hand-in Homework
due today!
Thursday, September 21
1.4 Beginning Proofs
Objectives: You will be able to…
* write
simple 2 column proofs
Homework: review
notes on 1.4 and do page 26
(3,5,6,7,9,11,14)
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Friday, September 22
1.5 Division of Segments & Angles
Objectives: You will be able
to…
§identify
midpoints, bisectors, trisection points, and trisectors of
segments
§identify
angle bisectors and trisectors
Homework:
*read
and take notes on 1.5 & do
page 32 (7,9,10,11,12,13,14,15,18,20,21,23) |
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Monday, September 25 - 1.6
Paragraph Proofs
Objectives: You will be able to…
* write
paragraph proofs
Homework: Read and take notes on 1.6 and page 37
(3,6,7,8,9,11)
*
page 54
(1,3,4,13,14,18,19,21,24,25)
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Tuesday, September 26
1.9 Probability & QUIZ over 1.1 – 1.8
Objectives: You will be able to…
* solve
geometry problems that involve probability
Homework:
Read
and take notes on 1.9 and page 51 (1-11)
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Hand in Homework Due September 27
page 35 (#22), page 38 (#10), page 52 (#14)
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Wednesday, September 27
Chapter 1 Review Day
Homework: page
54 (28,29,30,31,32,33,35,39,40)
Thursday, September 28
Chapter 1 Review Day
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Friday, September 29
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