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Geometry for Enjoyment and Challenge – Chapter  1

Honors Geometry 2006 – 2007                                       Name _________________________

Internet Sites for Chapter 1


 Terms and Definitions – See options for dealing with vocabulary – due Monday, September 17

1.

angle

15.

congruent angles

29.

triangle inequality

43.

conditional/implication

2.

endpoint

16.

congruent segments

30.

diagram assumptions

44.

converse

3.

intersection

17.

degree

31.

theorem

45.

deductive structure

4.

line

18.

measure

32.

2-column proof parts

46.

definition

5.

line segment

19.

minute

33.

theorem procedure

47.

hypothesis

6.

number line

20.

obtuse angle

34.

bisect

48.

postulate

7.

point

21.

protractor

35.

bisector

49.

law of syllogism

8.

ray

22.

right angle

36.

midpoint

50.

contrapositive

9.

segment

23.

second

37.

trisect

51.

inverse

10.

side

24.

straight angle

38.

trisection points

52.

negation

11.

triangle

25.

tick marks

39.

trisectors

53.

Venn Diagram

12.

union

26.

collinear

40.

paragraph proof

54.

probability

13.

vertex

27.

noncollinear

41.

counterexample

 

 

14.

acute angle

28.

betweenness of pts.

42.

conclusion

 

 


Theorems: 
 

Write out Theorems 1-3 (put numbers next to them) and prove them.

    Construction:

 1) copy a segment    
2) copy an angle
3) bisect a segment
4)  bisect an angle

 


Syllabus and Objectives


Thursday,
September 6
 

  

1.1 Getting Started and 1.2 Measurement of Segments and Angles
      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

  • measure segments and angles

  • classify angles by size

  • recognize congruent angles and segments

  • name the parts of a degree

Homework: 
ª Read “letter to Students” (before chapter 1) 
ªRead and take notes on 1.1 and 1.2:  Do page 7-8 (1-14)  and page 14-16 (4,5,8,9,10 )
Helpful Website:  Clock Angle Problems - info from Wikipedia

Friday,
September 7 




 

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, 14, 15, 16, 18, 19, 20), and p.21 (3-11)

Monday,
September 10

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      

Quick Quiz over 1.1

Homework: Read and take notes on 1.7and  and  do page 22 # 12 - 15, and p. 42  # 5, 13, 14

Helpful Websites: Conditional Website,  Converse Website, Inverse Website,  Contrapositve website,  Venn Diagram web page
 Logic and Proof - check yourself by trying these online problems!  Working with
Related Conditionals
website - check your understanding on this page!

Tuesday,
September 11
1.7 & 1.8 Deductive Structure & Statements of Logic (cont.)

Homework:  read and take notes on 1.8 and do page 48 # 3-9, 10

Quick Quiz over 1.2 - 1.3

Helpful Website:  Logic and Proof - check yourself by trying these online problems!

Wednesday,
September 12
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, and 15

Helpful Websites:  Geometric Proofs and What is a Proof?


Thursday, September 13

Axiom Game
        Homework:  Logic Problem  and Vocabulary Assignment

Friday, September 14

Axiom Game (cont)                Homework: Finish Vocabulary   
 

Monday,
September 17
Vocabulary
Due

 

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

Quick Quiz over 1.7, 1.8, and 1.4

Homework:      read and take notes on 1.5  & do
           page 32 (7,9,10,11,12,13,14,15,18,20,21 - 23)


Tuesday,
September 18
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)

Helpful Website: 
Geometric Proofs - 2-column and paragraph proofs
Wednesday, September 19 QUIZ over 1.1 – 1.5, 1.7 - 1.8
Thursday,
September 20

1.9 Probability
      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, and 14)

Quick Quiz over 1.5 and 1.6

Helpful Website:  Probability web site
Friday,
September 21

Chapter 1 Review Day
      Homework:   page 54 (28,29,30,31,32,33,35,39,40)

Monday,
September 24

Chapter 1 Review Day
 
Tuesday,
September 25
TEST Chapter 1
  Homework:  Read and take notes on Section 2.1 and do p.
 
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This Page was Updated:
02/14/2010 02:45 PM

 

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Nancy Powell
BHS Lead Teacher - Math

© Copyright, 2009 Nancy Powell
BHS Mathematics Department