Geometry; 9/30

We reviewed a few more proofs together before starting on our review assignment for the chapter 2 quiz.  The quiz tomorrow will cover conditional statements, algebraic proofs, postulates and theorems as reasons in proofs, and how to work geometric proofs.

Assignment:  Chapter 2 Quiz review packet

Honors Geometry; 9/30

We worked through some review questions together in preparation for the chapter 2 test tomorrow.  We covered one more 2 column proof together as well as some of the wording involved with the theorems with perpendicular lines.  After this, the students spent the rest of the time working on their chapter 2 review packet.  The answers to this packet appear below.

Assignment:  Chapter 2 review packet


Test 6   Supplementary Test

1.  C      2.  E     3.  G     4.  F     5.  K      6. L       7. J       8.  D       9. H      10.  M     11.  E
12.  G     13.  B     14.  P      15.  F       16.  D       17.  angle ABF    
18.  angle ABH and angle EBC  or  angle ABE and angle CBH
19.  angle BEC  and angle CED
20.  25

Test 7    Theorems about Angles and Perpendicular Lines

1.  congruent     2.  acute      3.  right     4.  obtuse     5.  105       6.  90 - 3y    
7.  angle DEB and angle DGE      8.  angle 3 and angle 2     9.  angle EGD and angle DGB
10.  angle 1       11.  a.  40     b. 50      12  angle 7 is congruent to angle 9
13.  complementary
14.  (proof steps)
        1.  given
        2.  def. of perpendicular lines
        3.  if ext. sides of 2 acute adjacent angles are perpendicular, then angles are complementary
        4.  given
        5.  same reason as #3
        6.  given
        7.  complements of congruent angles are congruent


Test 8     Chapter 2 Test

1.  a.  angle 1 and angle 2 are right angles
     b.  angle 1 is congruent to angle 2
     c.  If angle 1 is congruent to angle 2, then angle 1 and angle 2 are right angles
     d.  false

2.  (algebraic proof steps)
     1.  given
     2.  distributive property
     3.  addition prop. of equality
     4.  subtraction prop. of equality
     5.  division prop. of equality

3.  a.  angle FGE and angle HGI       b. angle EGJ and angle IGJ    c. angle EGF and angle FGJ
4.  midpoint theorem
5.  def. of perpendicular lines
6.  reflexive
7.  angle bisector theorem
8.  def. of complementary angles
9.  adjacent
10.  55
11.  58
12.  52
13.  70
14.  32
15.   a.  13     b.  75
16.  If lines are perpendicular, then they meet to form right angles
       If 2 lines meet to form right angles, then they are perpendicular
17.  (proof steps)
         1.  Given
         2.  measure of angle 1 plus measure of angle 2 = 90
         3.  angle addition postulate
         4.  substitution property of equality
         5.  segment AB is perpendicular to segment BC
         6.  def of perpendicular lines
         7.  substitution / transitive

18.             Statements                                                          Reasons

      1.  angle 3 and angle 4 are supplemental                          Given
      2.  measure angle 3 + measure angle 4 = 180                   def. of supplemental
      3.  measure angle 1 + measure angle 4 = 180                   angle addition postulate
      4.  angle 3 + angle 4 = angle 1 + angle 4                          substitution / transitive
      5.  measure angle 4 = measure angle 4                             reflexive
      6.  measure angle 3 = measure angle 1                             subtraction prop. equality
      7.  angle 3 congruent to angle 1                                       def. of congruent
      8.  angle 3 congruent to angle 2                                       vertical angle congruent
      9.  angle 1 congruent angle 2                                           substitution / transitive

Geometry; 9/29

We continued working on 2-column proofs today by taking a look at how theorems are proved.  We went through two of them -- the midpoint theorem and the angle bisector theorem.  The students got to see how these theorems are proven and saw how some new reasons can be used in proofs.


Assignment:  section 2-3;  page 45;  CE  #1-10 all;   page 46;  WE  #1-14

Honors Geometry; 9/29

We continued working on how to plan proofs and come up with various statements and reasons today.  We went through 3 more proofs together before getting started on the homework proofs.  We plan to review tomorrow in preparation for the chapter 2 test on Thursday.


Assignment:  section 2-6;  page 63-64;  WE  #1-17; 19, 20

Geometry; 9/28

We continued our work with proofs today by introducing the concept of how to solve a geometric proof.  We went through 4 proofs together before getting started on the homework, and were introduced to different ways in which to use the postulates, definitions, and algebra properties as reasons.  The students then got started on their assignment.


Assignment:  section 2-2;  page 40;  CE  #1-12 all;   page 41-42;  WE  #7-10 all

Honors Geometry; 9/28

We continued our work in chapter 2 today by going over 3 theorems that dealt with parallel lines.  The key item to remember is that the definition of perpendicular lines involves a right angle.  All the theorems and calculations use that fact.  We went through several proof examples before getting started on our homework.


Assignment:  section 2-5;  page 58-60;  #1-25 all, 28

Geometry; 9/24

We went over our homework today before starting a lesson on algebraic proofs.  We worked through several examples showing the structure of how two column proofs work and the reasons that are used in them.  The students got started on their assignment at the end of the period.


Assignment:  writing conditionals worksheet;  2-18 evens;    write if-then, converse on each one;
  section 2-2;  page 41;  WE  #1-6

Honors Geometry; 9/24

We went over our chapter 2 quiz today and then began our discussion of special pairs of angles.  We covered complementary angles, supplementary angles, and vertical angles today in the lesson.  Calculation problems as well as some sample proofs were explained before the students got started on their assignment.


Assignment:  section 2-4;  page 52-54;  WE  #1-33;  skip every 3rd question

Geometry; 9/23

We continued our work with deductive reasoning today by taking a look at several of the vocabulary words involved with this process.  The topics of conditional statements, counterexamples, converses, and biconditional statements were all discussed and demonstrated.  The most common form was dealing with if...then statements, yet we did show a variety of other options as well.


Assignment:  section 2-1;  page 35;  WE  #1-25 all

Honors Geometry; 9/23

We spent the first part of the period reviewing for the quiz over Chapter 2 today, and then we took the chapter 2 quiz in class.  The students had the period to finish their quiz.  Once they were finished, they started work on a proof packet that will be due next week.


Assignment:  Proof Packet  (due next week)

Geometry; 9/22

We spent today introducing the topic of deductive reasoning and how we use specific facts to prove a particular statement.  We used various non-geometry examples today to illustrate how to use facts to deduce the correct answer.  The assignment was to solve 10 different logic puzzles using the facts given.

We will return the chapter 1 tests tomorrow in class.

Assignment:  Logic puzzle packet

Honors Geometry; 9/22

We spent today reviewing the first part of chapter 2.  We went over conditional statements and the different wording that are involved with this topic.  We then went over an algebraic proof as well as a geometric proof together before getting started on a review worksheet.

Chapter 2 Quiz is tomorrow.


Assignment:  Review worksheet over sections 2.1 to 2.3

Geometry; 9/21

We reviewed one question at the beginning of class before the students then took their Chapter 1 test today.


Assignment:  extra credit puzzle option after the test

Honors Geometry; 9/21

We continued our work with 2 column proofs today by going over how to first prove theorems and then use them in various types of proofs.  The two theorems that we proved today were the midpoint theorem and the angle bisector theorem.  The students got started on their homework towards the end of the period.

The quiz on the first part of chapter 2  (section 2.1 to 2.3) will take place on Wednesday of this week.


Assignment:  section 2-3;  page 46-47;  WE  #1-18 all

Geometry; 9/18

We reviewed today for the chapter 1 test by going over a few sample calculation problems together, as well as finishing up our figure activity from yesterday.  The students were given a study guide and review sheet for the test that will take place on Monday, Sept. 21.

Assignment:  Chapter 1 review sheet and study guide

Geometry Chapter 1 Review Guide answers

Distance and Midpoint Review Problems

1.        See formula in notes

2.      

3.       See formula in notes

4.       (-7.5 , 4.5)

5.          a.               b.   (2 , 3.5)                         c.  (-13, 8)

Segment and Angle Calculation Problems

2.    equations I used:  AB = 4x + 9;  BC = 5x + 2;  AC = 56

                X = 9 ;  AB = 45;  BC = 47

3.  equations I used:  AB = 2(x + 1);  BC = 3x + 1;  AC = 4(x + 2)

                X = 5;  AB = 12;  BC = 16;  AC = 28

4.  equations I used:  AT = 3x + 1;  TL = 15;  AL = 7x + 1

                X =    (3.75) ;  AT =  12.25;  TL = 15

12.  mÐTPS = 37^o ;  mÐRPS = 74^o

13.  mÐRPT = 48^o ;  mÐRPS = 96^o

14.  mÐRPS = 37.5^o ;  mÐTPS = 37.5^o

15.  equations I used:  5x -17  ;  3x – 14    ;    x =   

16.  equations I used:   3x + 36  ;  9x – 14   ;   x =   

17.  equations I used:  ½ x + 24 ;   3x – 46  ;   x = 28

Practice Questions on Definitions and Postulates

1.        ÐTQR

2.       Ray TP

3.       ÐTQR

4.       Ray QT and ray QR

5.       ÐPTQ and ÐQTS

6.       Point R

7.       Point P

8.       Point Q

9.       True

10.   False

11.   True

12.   True

13.   False

14.   True

15.   True

16.   Sometimes

17.   Always

18.   Always

19.   Never

20.   Always

Honors Geometry; 9/18

We continued our work with geometric proofs today, demonstrating the two column proof and going over several more uses of definitions, postulates, and properties in various proofs.


Assignment:  Section 2-2;  page 41-42;  #7-13 all

Geometry; 9/17

We did some more partner practice with the postulates and theorems today before getting started on a review activity involving points, lines, and planes.  We both drew and constructed various figures on a review sheet using note cards, yarn, and straw.


Assignment:  Points, lines, and planes activity worksheet

Honors Geometry; 9/17

We continued our work with deductive reasoning today by taking a look at how we can do algebraic proofs.  We went over the properties of algebra and also the initial steps in using geometric properties in proofs.  We did several examples together before getting started on the homework.


Assignment:  section 2-2;  page 40;  CE  #1-12 all;  page 41;  WE  #1-6 all

Geometry; 9/16

We went through section 1-5 today that deals with a quick review of some of the important postulates and theorems that we have been working on.  We demonstrated each postulate and theorem as we talked about them and wrote about them in notes.  The angle addition postulate with angle calculations was also practiced again.


Assignment:  section 1-5;  p. 25-26;  #3-12 all, 17;  page 22;  30-34 evens

Honors Geometry; 9/16

We got back our chapter 1 test today and went over it together.  We then started our discussion of chapter 2, which deals with deductive reasoning.  The deductive reasoning topic involves some important vocabulary words in dealing with how to write proofs.  We focused on if-then statements, hypothesis and conclusions, counterexamples, converses, and biconditional statements today in what we went through.


Assignment:  section 2-1;  page 35;  #1-30;  skip every third problem

Geometry; 9/15

We continued on with our work with angles today by showing how to construct angles using a protractor and a straight edge.  Our main skill today was working through how to bisect angles.   The other topic of our lesson today focused on how to use the Angle Addition Postulate when working with angle calculations.  We went through several examples before getting started on the homework.


Assignment:  section 1-4;  page 21-22;  WE  #1-18 all, 26, 29-33 odds;  draw and bisect two angles.

Honors Geometry; 9/15

After turning in the review sheet for Chapter 1, the students took their Chapter 1 Test in class today.  Once the test was done, the students had a chance to finish up their Tissue Box Activity.  If not finished, the Tissue Box Activity is their homework to be turned in tomorrow.


Assignment:  Tissue Box Activity   (due tomorrow)

Geometry; 9/14

We went over our chapter 1 quiz today before getting started on the lesson about angles.  We went over the various types of angles, the pairs of angles that we work with, and how to use the various symbols and notation for angles.


Assignment:  section 1-4;  page 20;  CE  #1-12 all, 17-25 all, 28-38 all

Honors Geometry; 9/14

We spent time going over a review sheet and answering questions together in preparation for the chapter 1 test tomorrow.  We then went over 3-4 main topics that chapter 1 involved before the students got started on their test review assignment.  The answers to that assignment appear below so that the students can check their work before coming to class tomorrow.


Assignment:  Chapter 1 Review WS  #2

1.  point E,  point F
2.  point B
3.  a line
4.  line AB
5.  A, C, B
6.  exactly 1
7.  A, C, D, E  (answers may vary)
8.  D
9.  a.  exactly 1    b.  through any 2 points there is exactly 1 line
10.  ray CA
11.  segment CB
12.  exactly 1
13.  infinitely many
14.  13
15.  a.  6      b.  -6
16.  -2.5
17.  -22
18.  ray PK,  ray PL
19.  angle NPK
20.  angle MPK is congruent to angle LPQ;  angle QPM is congruent to angle LPK
21.  angle MPJ
22.  A, C, D
23.  definition of segment bisector
24.  through any 2 points there is exactly 1 line
25.  if 2 planes intersect, their intersection is a single line
26.  if 2 lines intersect, then exactly 1 plane contains them
27.  If 2 points are in a plane, then the line that contains them is in that plane

Challenge question:  12

Test on chapter 1 tomorrow

Geometry; 9/11

We went over homework briefly to start the period and then the students took their chapter 1 quiz in class today.  Once the quiz was over, the students got started on their assignment.


Assignment:  page 14;  CE  #1-20 all;  23-26 all

Honors Geometry; 9/11

We worked on an in-class activity today called the tissue box activity.  While working with a tissue box, the students answered a series of questions about points, lines, and planes from the box in front of them.


Assignment:  Chapter 1 review sheet #1    (all questions both sides)


Chapter 1 Test;  Tuesday, Sept. 15

Geometry assignment; 9/10

We reviewed both the distance and midpoint formulas today before demonstrating our first skills in constructing various figures using a compass.  The two skills we used today involved copying a segment and bisecting a segment.  After showing these skills, we then got started on the assignment for today, which is a review for our quiz tomorrow.


Assignment:  Chapter 1 review worksheet + constructions practice

Chapter 1 Quiz tomorrow, Sept. 11

Honors Geometry assignment; 9/10

We continued our work with postulates and theorems today by working through a practice quiz and going over several homework problems.  The students then got started on their assignment dealing with sections 1-3 through 1-5.

Assignment:  Section 1.3 to 1.5 worksheet


Chapter 1 Test is next Tuesday, Sept. 15

Geometry assignment; 9/9

We continued our practice with drawing figures today.  After covering the distance formula yesterday, we went over how to work with the midpoint of a segment today.  The midpoint formula was demonstrated and worked on together in class before the students got started on their assignment.


Assignment:  p. 545-546;  WE  #1-11 all;

                        p. 15-16;  WE  32-40 evens

Honors Geometry assignment; 9/9

We continued our work with drawing figures as well as learning the postulates and theorems of geometry.  We went over several more postulates today with the specific wording found in each one.  Different demonstrations and analogies were made to illustrate the various points.


Assignment:  section 1-5;  page 25;  WE 3-19 all;    
                              Self Test 2;  page 29;  #1-8 all

Geometry assignment; 9/8

We did a little review of geometric drawings and notation today before starting today's lesson.  The topic today was how to determine the length of a segment when it is graphed on a coordinate axes.  We worked through how to do this and came up with the concept of the distance formula.  This formula comes from the Pythagorean Theorem and we showed how both of these could be used to find the length of a segment.  The students then got started on their assignment.


Assignment:  section 13-1;  page 526;  WE  #1-16 all

Chapter 1 quiz is scheduled for this Friday, Sept. 11

Honors Geometry assignment; 9/8

We continued our work with the language and symbols involved in geometry today by taking a look at the category of angles.  We went through several different types of angles, as well as different types of angle pairs.  I also introduced the concept of the angle addition postulate and went over a few examples of that with the students.

Assignment:  section 1-4;  page 21-22;  WE  #1-34;  skip every third problem

Geometry; 9/4

We continued our work with the foundations of geometry today by introducing the figures and symbols for the ray and the segment.  We also talked about how to determine the lengths of segments, and the definitions of the terms midpoint and bisect/bisector.  Finally, we went through a few examples showing how the segment addition postulate works when used with drawings and variables.


Assignment:  section 1-3;  page 15-16;  #1-39   odds

Honors Geometry; 9/4

We continued our work with the foundations of geometry today by introducing the figures and symbols for the ray and the segment.  We also talked about how to determine the lengths of segments, and the definitions of the terms midpoint and bisect/bisector.  Finally, we went through a few examples showing how the segment addition postulate works when used with drawings and variables.


Assignment:  section 1-3;  page 15-16;  #1-40   do every third problem

Geometry ; 9/3

We went over homework to start the period, as well as reviewing the vocab words and drawings from yesterday via an entry task.  We then worked on a partner activity dealing with describing and drawing various geometric figures.  Each student had a chance to draw and describe as they continued to practice learning the vocabulary and symbols associated with the foundations of geometry.


Assignment:  section 1-2 ;  page 7;  CE  #1-20 all;    Self Test 1;  page 10;  #1-7 all

Honors Geometry; 9/3

We went over homework to start the period, as well as reviewing the vocab words and drawings from yesterday via an entry task.  We then worked on a partner activity dealing with describing and drawing various geometric figures.  Each student had a chance to draw and describe as they continued to practice learning the vocabulary and symbols associated with the foundations of geometry.


Assignment:  section 1-2 ;  page 7;  CE  #1-20 all;    Self Test 1;  page 10;  #1-7 all

Geometry; 9/2

We went through an introductory lesson today on the definitions of points, lines, and planes.  We drew several different examples of these and began to show the notation involved in geometry.  Several different objects were used to illustrate these interactions and symbols.


Assignment:  section 1-2;  page 7-8;  WE  #1-25 all

Honors Geometry; 9/2

We went through an introductory lesson today on the definitions of points, lines, and planes.  We drew several different examples of these and began to show the notation involved in geometry.  Several different objects were used to illustrate these interactions and symbols.


Assignment:  section 1-2;  page 7-8;  WE  #1-32 all

Geometry; 9/1

Welcome to the 2015/2016 school year.  We spent today's class period going through the course syllabus and several of the classroom procedures.  I also talked with the students about using some of their work as examples of student work during my teacher recertification process this year.  Both the syllabus and the student work permission slip need to be signed by parents/guardians and returned to class by tomorrow.  The students then spent the remainder of the period filling out a student goal sheet and getting started on their first assignment.  The assignment deals with a quick review of equation solving skills from their previous algebra experiences.

Assignment:  return syllabus/student work permission slips; fill out goal sheet;
                       Solving Equations Review Sheet   #1-21 all

Honors Geometry; 9/1

Welcome to the 2015/2016 school year.  We spent today's class period going through the course syllabus and several of the classroom procedures.  I also talked with the students about using some of their work as examples of student work during my teacher recertification process this year.  Both the syllabus and the student work permission slip need to be signed by parents/guardians and returned to class by tomorrow.  The students then spent the remainder of the period filling out a student goal sheet and getting started on their first assignment.  The assignment deals with a quick review of equation solving skills from their previous algebra experiences.

Assignment:  return syllabus/student work permission slips; fill out goal sheet;  Algebra Review;  page 10;  #2-46 evens