Geometry; 1/28

We reviewed a few more test problems today together before the students spent most of the period working on the chapter 7 review packet.  The answers to this packet appear below.  The chapter 7 test is tomorrow in class.


Assignment:  Chapter 7 review packet


Answers to review packet

A Postulate for Similar Triangles

1.  KAS
2.  AC
3.  ARC
4.  AR
5.  similar, AA
6.  not similar
7.  similar, AA
8.  similar, AA
9.  not similar
10.  similar, AA
11.  x = 10.4;  y = 9
12.  x = 6.4;  y = 2.5
13.  x = 16;  y = 20

Theorems for Similar Triangles

1.  triangle ABC similar to triangle EFD  ;  SSS
2.  triangle ACS similar to triangle ART  ;  SAS
3.  triangle ABC similar to triangle DEC  ;  SAS
4.  triangle PQR similar to triangle SQT  ;  SAS
5.  triangle JKL similar to triangle PMN  ;  SSS
6.  triangle ROS similar to triangle MTS  ;  AA
7.  yes
8.  a.  SNU;    b.  1:3
9.  no

Proportional Lengths

1.  yes
2.  no
3.  yes
4.  no
5.  no
6.  yes
7.  yes
8.  no
9.  x = 6
10.  x = 5
11.  x = 42
12.  x = 20
13.  x = 14
14.  x = 2
15.  x = 10
16.  x = 8

Similar Polygons

1.  x / 4y
2.  a / 5
3.  1 / 4
4.  8
5.  5 / 4
6.  x = 4
7.  x = 7.5
8.  x = 16;  y = 15
9.  x = 25;  y = 13.5
10.  triangle ABC similar to triangle EFD  ;  AA
11.  triangle ABE similar to triangle CBD  ;  SAS
12.  triangle ABC similar to triangle DFE  ;  SSS
13.  x = 4.2
14.  x = 14.4
15.  x = 4

Honors Geometry; 1/28

Our work with right triangles focused on how to solve right triangles today.  We went through how to determine all the side lengths and all the angle measurements in any right triangle in which we are given three pieces of information.  We went through a few examples together of these types of problems.  We also introduced how to work through trig application problems.  These word problems involved setting up a problem from a given description and drawing a triangle that we can use.  We went over how to work with angles of depression, angles of elevation, and % grades of roads.  After a few of these examples, the students then got started on their assignment.


Assignment:  Solving right triangles worksheet +  section 8-7;  page 318-319;  WE  1-6, 10, 11

Geometry; 1/27

We wrapped up the last part of chapter 7 on similarity today by going over the proportions present in triangles with a bisected angle.  We also showed a couple of similarity proofs to review for the test on Friday.  The students then got started on their assignment.


Assignment:  section 7-6;  page 272-273;  WE  #1-12 all, 15, 16, 20, 21  
                    page 274;  Self Test 2;  #1-4

Honors Geometry; 1/27

We continued our work with trig ratios today by going over the sine and cosine ratios.  We did several problem types together before the students then got started on their assignment.


Assignment:  section 8-6;  page 314-316;  WE  1-21 all

Geometry; 1/26

First day of the 2nd semester!    We picked back up our study of similarity in chapter 7 by taking a look at the different ways figures can have proportional lengths.  We went through segments, triangles, and parallel lines cut by transversals today.  After several examples, the students then got started on their homework.



Assignment:  Similarity and Parallel Lines worksheet;  1-18 all,  skip 13, 15, 16, and 17
                          Similar Figures worksheet;  1-27;  do the odd problems

Honors Geometry; 1/26

First day of the 2nd semester!   We continued to work with right triangles today by introducing the first of the three trigonometry ratios.  The tangent ratio is what we went over and explained today.  We went through several examples before the students got started on their assignment.


Assignment:  section 8-5;  page 308-309;  #1-24 all

Geometry; 1/21 and 1/22

1st Semester Finals

Turn in your review packets

Honors Geometry; 1/21 and 1/22

1st Semester Finals

Turn in your review packets

Geometry; 1/20

Today was our 3rd and final day of reviewing for the semester final.  We went over the properties of parallelograms again, as well as a couple more triangle proofs with overlapping parts.  The students then spent the rest of the time working on their review packets.  We handed out the answer keys to the review packets at the end of the period so that everyone could check their own work.  The review packets are due by Friday, Jan. 22.

5th period final is Thursday, Jan. 21
4th and 6th period finals are on Friday, Jan. 22


Assignment:  Review Packet #3

Honors Geometry; 1/20

We spent our last day reviewing before the semester final today.  We went over packet #1 questions as well as did a couple more triangle proofs before getting back to work on review packet #2.  The semester final is tomorrow during 1st and 3rd period.  The answers to the review packet #2 appear below.


Assignment:  Review packet #2


Packet #2 answers

1.  C
2.  C
3.  B
4.  C
5.  D
6.  C
7.  A
8.  D
9.  A
10.  B
11.  B
12.  C
13.  B
14.  A
15.  C
16.  B
17.  B
18.  A
19.  D
20.  B
21.  B
22.  E
23.  D
24.  A
25.  C
26.  B
27.  C
28.  A
29.  E
30.  C
31.  B
32.  C
33.  D
34.  B
35.  D
36.  B
37.  B
38.  B
39.  A
40.  A
41.  B
42.  E
43.  D
44.  B
45.  D
46.  D
47.  B
48.  D
49.  B
50.  C

Geometry; 1/19

We went over some more review problems together today before the students got started on their 2nd finals review packet.


Assignment:  Finals Review Packet #2

Honors Geometry; 1/19

We went over the chapter 8 quiz in class today.  We then started our semester final review packet #2 in class.


Assignment:  Finals review packet #2


Review Packet #1 answers:

1. C
2.  D
3.  C
4.  A
5.  B
6.  B
7.  C
8.  A
9.  B
10.  D
11.  D
12.  D
13.  A
14.  A
15.  D
16.  A
17.  B
18.  C
19.  C
20.  B
21.  B
22.  C
23.  B
24.  C
25.  C
26.  A
27.  B
28.  A
29.  C
30.  B
31.  C
32.  B
33.  A
34.  A
35.  C
36.  A
37.  C
38.  B
39.  B
40.  A

Geometry; 1/15

We went over our homework and then began our review for the semester final exam.  We went over a few problems together involving the distance and midpoint formulas and then the students got started on their review packets.


Assignment:  Semester Final review packet #1

Honors Geometry; 1/15

After collecting the review sheet, the students took the chapter 8 quiz in class today.  The homework for the weekend was to do the first of our review packets for the final.


Assignment:  Final exam review packet #1

Geometry; 1/14

Honors Geometry; 1/14

We took a perfect squares quiz today in class before going over a few more review problems in preparation for the quiz tomorrow.  The students then used the rest of the period to work on their review sheet.  The answers to the review sheet appear below.


Assignment:  Section 8.1 to 8.4 review sheet

Chapter 8 Quiz tomorrow

Test 31

1.  1/6
2.  3 radical 3
3.  4 radical 3
4.  5 radical 3 / 3
5.  radical 7
6.  RQS ;  SQT
7.  a.  ST    b.  RT
8.  8 radical 5
9.  4 radical 5
10.  (8 radical 5) squared +  radical 5) squared = 20 squared
        or 320 + 80 = 400
11.  8
12.  SQ  or  8
13.  In a right triangle, the square of the hypotenuse is equal to the sum of the square of the legs
14.  7
15.  2 radical 3
16.  6 radical 2
17.  5
18.  12 m

Test 32

1.  a.  right      b.  If the square of 1 side of a triangle is = to the sum of the squares of the other 2 sides, then the triangle is a right triangle
2.  obtuse
3.  right
4.  not possible
5.  acute
6.  17 < n < 23
7.  a.  5    b.  5 radical 2
8.  a.  5 radical 2       b.  5 radical 2
9.  a.  6      b.  3 radical 2
10.  j = 7;  k  = 7 radical 3
11.  k = 3 radical 6;  t = 6 radical 2
12.  j = radical 3;  t = 2 radical 3
13.  1 : radical 3 : 2
14.  5 radical 2 / 2
15.  10

Geometry; 1/13

Honors Geometry; 1/13

Geometry; 1/12

We spent the first part of period today reviewing how to do some basic triangle proofs.  These are problems that we will review some more for the upcoming final.  We then went over how to work with similarity proofs.  The first postulate that we went over was the AA postulate for similar triangles.  We also did some calculations to review what we have already worked on with similar triangles.

Assignment:  section 7-4;  page 256;  CE  #1-8 all;   page 257-258;  WE  #1-7, 10-13, 15, 17, 21, 23

Honors Geometry; 1/12

We reviewed several homework problems together on the pythagorean theorem before moving on into today's lesson.  We learned a little about the history of the pythagorean theorem and how it can be proved in different ways without numbers.  We also worked with the converse of the theorem today to show how it can be used to classify triangles as either right, acute, or obtuse.

Assignment:  section 8-3;  page 296;  CE  #1-6, 9, 10;   page 297;  WE  #1-14

Geometry; 1/11

We went over our chapter 7 quiz review sheet to start the period.  If students had any more questions, they could get them answered here before taking the quiz.  The rest of the period involved the students taking the chapter 7 quiz in class.  They could work on an extra credit puzzle when they were finished if they chose to.

Assignment:  extra credit puzzle option

Honors Geometry; 1/11

We continued our study of right triangles today by going over how to use the pythagorean theorem.  The students have all seen this theorem before, so we did a couple of foundational problems to start with before going through 3-4 more complex examples.  We will use this theorem a lot this chapter, so having a good knowledge of how it works is important.

Assignment:  section 8-2;  page 292-293;  #1-30  (skip every 3rd problem);  #33

Geometry; 1/8

We continued our work on similar triangles today.  We reviewed some of the properties of proportions from earlier in the week before going over 3-4 types of problems involving similar triangles that overlap.  The end of the period found the students working on a review sheet for the quiz on Monday.  We will go over this review sheet before the quiz on Monday.


Assignment:  section 7-1 to 7-3 review sheet

Honors Geometry; 1/8

We continued our work with right triangles and similarity today by going through a few more problems together to help memorize the ratios for the geometric means.  Using the note card will help, yet the goal is to get these ratios memorized.   The students got started on their assignment towards the end of the period.


Assignment:  Similarity in Right Triangles WS;  #1-25 all

Geometry; 1/7

We continued our study of similarity today by taking a look at how word problems can be translated into drawings of similar figures.  We went through several different examples before getting started on the assignment.  The actual calculations are rather short, yet the skill of setting up the problem from the diagram is the skill we focused on.

Assignment:  Similarity Drawings worksheet +  page 252;  Self-Test 1;  #1-10

Honors Geometry; 1/7

Today's lesson focused on the start of our study of right triangles.  We looked at how similarity and right triangles are related in a particular diagram.  We introduced the concept of the geometric mean in a drawing and how different parts of right triangles can be calculated using a series of similarity ratios.  We made a note card to help us in the process of learning these ratios.  The students then got started on their assignment.


Assignment:  section 8-1;  page 288;  #1-26 all

Geometry; 1/6

We spent a short time today going over our homework before beginning the lesson.  Today's topic involved taking a look at what similar figures are and how calculations can be handled with them.  We introduced the vocabulary word "scale factor" and how to match up corresponding sides in various figures.  The students then got started on their assignment.


Assignment:  section 7-3;  page 250;  CE #1-4, 10;   page 251;  CE #15-22 all

Honors Geometry; 1/6

We spent some time today going over our homework before introducing the next lesson.  This was our third day of reviewing how to work with radical expressions.  Today we covered how to add and subtract radicals, as well as how to work with problems that involve all 4 operations at once.  The students had a short time to begin the assignment due to the 2-hour delay schedule.


Assignment:    Radicals Review WS #3;   #1-43 odds

Geometry; 1/5

We continued working with ratios today by combining them into proportions.  We reviewed several algebra skills in how to solve proportions to start off with.  We then went over some of the different properties of proportions that we will use throughout this chapter.  The final topic we covered was how to set up ratios and proportions from diagrams.  Once the proportions were set up, we then worked to solve them and find the desired dimension.  After the lesson, the students got started on their assignment.


Assignment:  Section 7-2;  page 247-248;  WE  #1-25 all, 27, 33, 35

Honors Geometry; 1/5

We continued our work with radicals today by going over how to multiply and divide radicals.  We also spent time reviewing how to rationalize the denominator for various radical expressions.  We went over several examples together before getting started on the assignment.


Assignment:  Radicals Review worksheet #2

Geometry; 1/4

Happy New Year and welcome back to school.  We went over a quick overview of the schedule for the next few weeks before getting started on today's lesson.  We started our study of similarity today by taking a look at how to work with ratios.  This is an algebra skill, yet one that we need to link to geometric figures as we move forward.  We did several examples of reducing ratios, converting to the proper units, and also working with extended ratios before the students got started on their homework.




Assignment:  section 7-1;  page 243;  CE  #1-4;  8-13;     page 243-244;  WE  1-30 all

Honors Geometry; 1/4

Happy New Year and welcome back to school.  We went over a quick overview of the schedule for the next few weeks before getting started on today's lesson.  As we begin chapter 8, we reviewed how to simplify and work with radicals today.  This was an algebra review day, but working with radicals is a skill that is needed as we move on into the next chapter on right triangles.


Assignment:  Radical Review worksheet #1

Geometry; 12/18

We spent our class time today working on a couple of structure building activities with note cards.


Assignment:  none

Have a great Christmas Break!

Honors Geometry; 12/18

We went over the chapter 7 test today in class before working on a structure building activity.

Assignment:  none

Have a wonderful Christmas Break!

Geometry ; 12/17

After turning in the chapter 6 review packet, we took the chapter 6 test in class today.  After the test, the students could work on the extra credit puzzle if they chose to.


Assignment:  none

Honors Geometry; 12/17

We turned in our review sheets today before taking the chapter 7 test on similarity.  After the test, the students could work on an extra credit puzzle.


Assignment:  none