Geometry; 3/31

We turned in our chapter 11 review packets today at the beginning of the period.  The rest of the period the students then spent taking the chapter 11 test.


Assignment:  extra credit puzzle option

Honors Geometry; 3/31

We continued working with coordinate geometry today by reviewing the concept of the slope of a line and how to calculate it.  We went over various methods of using the slope in simple calculations and also the different types of slopes (positive, negative, zero, and undefined) that we will encounter during this chapter.  The students then got started on their assignment.


Assignment:  Section 13-2;  page 532-533;  WE  1-29;  skip every multiple of 3

Geometry; 3/30

We went over a couple of warm up problems to begin the period and review sectors and arc lengths together.  We also corrected the homework on geometric probability.  We then spent some time going over 4-5 review problems together in preparation for tomorrow's test.  The rest of the time was spent working on the chapter 11 review sheet.

Assignment:  Chapter 11 review sheet;

Chapter 11 test tomorrow in class


Chapter 11 Review Sheet answers

1.  361
2.  112
3.  area = 309.1;  perimeter = 70.6
4.  area = 100 radical 3
5.  perimeter = 88;  area = 405
6.  area = 384 radical 3
7.  area = 28
8.  area = 75
9.  area = 100 radical 3
10.  area = 96
11.  area = 615.4;    circumference = 87.9
12.  arc length = 2 pi
13.  don't do
14.  sector area = 103.6
15.  central angle = 240 degrees
16.  radius = 6
17.  4/49
18.  perimeter = 98;  area = 24
19.  a.  1/100       b.  6/25
20.  a.  1/6;  0.17;  17%                b.  1/2;  0.50 ;    50%

Honors Geometry; 3/30

We continued on our work with coordinate geometry today by taking a look at circles that do not have centers at the origin.  We went through several of these examples together, as well as a few application problems that dealt with how to use the distance formula to prove facts about different types of figures.


Assignment:  section 13-1;  page 526-527;  WE  #1-37;  skip multiples of 3 and #34

Geometry; 3/29

We went over some review problems as warm up to begin the period, taking a look again at the areas of sectors and the lengths of arcs.  We then answered homework questions before getting started on today's lesson.  Today's topic focused on using the area of figures to determine the geometric probability of events that might occur.  We went through a variety of examples with different shapes to illustrate the concepts before the students got started on their assignment.


Assignment:  Geometric probability worksheet

Honors Geometry; 3/29

We got back the chapter 12 test today and went over any questions in class together.  We then got started on chapter 13 and the topic of coordinate geometry.  We went through the basic ideas of graphing and how to determine the distance between two points using both the pythagorean theorem and the distance formula.  We also introduced the idea of how to work with circles on the coordinate grid and how to come up with an equation for circles at the origin.


Assignment:  section 13-1;  page 525-526;  CE  1-10, 12

Geometry; 3/28

We went over our homework problems today before getting into the next aspect of chapter 11.  Today's lesson focused on how to use the scale factor to determine the area and perimeter ratios of similar figures.  We have studied similarity before, so the scale factor was not a new concept.  Using it to find the area and perimeter ratios took about 4-5 sample problems to demonstrate before the students then got started on their assignment.


Assignment:  Similar Figures worksheet

Honors Geometry; 3/28

After turning in the chapter 12 review sheet, the students then took the chapter 12 test in class.

Geometry; 3/25

After going over our homework, we took at look at our lesson that involved arc lengths and sector areas.  We used the circle formulas for area and circumference again, and combined them with determining the fraction of a circle in order to figure out several different types of problems.  We worked on creating a fraction using the central angle divided by 360 to determine both arc lengths and sector areas.  We also did a few problems in which the central angle needed to be calculated.  The students then got started on their assignment.


Assignment;  Section 11-6;  page 453;  WE 1-9 odd;   sector area / arc length worksheet  #1-14

Honors Geometry; 3/25

We went over the first review sheet together before continuing to work on the measuring activity with the various objects that we started on Thursday.  The students spent the bulk of the period finishing up their measurements and getting started on the calculations.  We passed out the 2nd chapter 12 review at the end of the period to review over the weekend.

The chapter 12 test is on Monday, March 28.

Assignment:  Chapter 12 review


Review sheet answers.


1.  a.  answers may vary;  triangle ABC
     b.  answers may vary;  segment AD
     c.  answers may vary;  ABED
2.  6
3.  84
4.  36
5.  55
6.  39
7.  17
8.  360
9.  360 + 64 radical 3
10.  75
11.  3:4
12.  177 7/9
13.  9:16
14.  9 radical 26 pi + 600 pi
15.  9 radical 26 pi + 609 pi
16.  945 pi
17.  216
18.  216
19.  a.  3 cm       b.  6 cm       c.  3 radical 5 cm
20.  9 radical 5 pi
21.  9 radical 5 pi + 9 pi
22.  18 pi
23.  3 cm
24.  4 m
25.  10 radical 2
5.

Geometry; 3/24

We continued on in the area chapter today by covering how to calculate the area and the circumference of circles.  We went over the basic formula first and how to use the various approximations of pi.  We then did a few application problems together that dealt with circles.


Assignment:  section 11-5;  page 447;  CE 1-12;   page 448-449;  WE  9, 11-13, 15-17

Honors Geometry; 3/24

We went over our homework today and answered any questions that might have come up to begin with.  The rest of the period we began an activity that deals with measuring and calculating the dimensions of a variety of 3-D objects.  Students groups of 2-3 worked together to measure the objects and then calculate the necessary values.  The students will finish this activity up tomorrow in class.

Assignment:  Chapter 12 Review worksheet #1

Geometry; 3/23

We quickly went over a few problems from the review sheet before taking the quiz.  The students spent the bulk of the period taking the chapter 12 quiz on areas of polygons today.


Assignment:  extra credit puzzle option

Honors Geometry; 3/23

We went over homework before going through the last section in chapter 12 today.  Today's lesson dealt with similar objects and the area and volume ratios between various shapes.  The key concept was to find the scale factor first and then square it to get the area ratio or cube it to get the volume ratio.

We went through 3-4 problems together before getting started with the assignment.

Assignment:  section 12-5;  page 511-512;  WE  1-15 all;  17-21 all

Geometry; 3/22

We went over a few more review problems together in dealing with regular polygons and their areas.  We also went over a problem that involved using trig ratios to figure out area instead of just using triangle shortcuts.  The students then got started on their review sheets for the quiz tomorrow.


Assignment:  Chapter 11 quiz review

Practice 43 answers:

1.  35
2.  72
3.  36 radical 3
4.  77
5.  60
6.  60
7.  angle = 60 degrees ;     radius = 18;    apothem = 9 radical 3;   area = 486 radical 3
8.  50
9.  34
10.  48
11.  78
12.  42
13.  48
14.  27 radical 3
15.  8

Areas of Regular Polygons

3.  4 radical 3
4.  5
6.  4 radical 2
8.  36
10.  121
12.  72
16.  96 radical 3
17.  27 radical 3
19.  12 radical 3

Honors Geometry; 3/22

We got back the chapter 12 quiz today and then spent some time going over it together.  The lesson focus today was working with the volume and area of spheres.  We added a couple formulas to our notecard and then went over some application problems before getting started on the assignment.


Assignment:  section 12-4;  page 500-502;  WE  1-29 odds

Geometry; 3/21

We went over some homework from Friday before starting today's lesson that dealt with the area of regular polygons.  We went over what a radius of a polygon is and also an apothem.  The formula that we introduced was then added to our notecard before we got started on the homework.

Assignment:  Area of regular polygons worksheet

Honors Geometry; 3/21

After turning in our chapter 12 reviews today, the students took the period to take the chapter 12 quiz.

Assignment:  Extra credit puzzle option

Geometry; 3/18

After going over the homework, the students worked on a review worksheet today that covered the first three sections of chapter 11.  More practice with their notecards and the formulas for this chapter was the goal of this lesson.

Assignment:  Section 11-1 to 11-3 worksheet packet

Honors Geometry; 3/18

After going over homework today, the students then got to work on their review sheet for Monday's quiz on Chapter 12.  The students also spent time making a notecard of formulas to use on their quiz.

The answers to the review sheet appear below.

Assignment:  Chapter 12 quiz review sheet

1.  segment AX
2.  rectangles
3.  360
4.  480
5.  600
6.  a.  RSTU     b.  triangle VRS
7.  vertex
8.  17
9.  544
10.  800
11.  1280
12.   sketch of cone
13.  4 radical 2
14.  12 pi
15.  16 pi
16.  16 radical 2 time pi all over 3
17.  sketch of cylinder
18.  108 pi
19.  270 pi
20.  486 pi
21.  343
22.  600
23.  48 radical 3
24.  4, 4, 8
25.  4
26.  a.  equal       b.  less than
27.  15:7

Geometry; 3/17

Happy St. Patrick's Day!   We continued our study of the area of polygons today by taking a look at how to determine the area of trapezoids.  We used some previous knowledge from an earlier unit to help us, and we came up with a new formula from triangles to use in trapezoid problems.  We went through 4-5 problems together before getting started on the assignment.


Assignment:  Section 11-3;  page 435  CE  #1-3;  page 436-437;  WE 1-20 all  (skip #3, 8)

Honors Geometry; 3/17

Happy St. Patrick's Day!  We continued our study of solid objects today by going over cones and cylinders in our lesson.  The only dimensions to concern ourselves with were the radius, height, and slant height (for cones only), so the problems are a little less complicated than the pyramid ones.  We went over 2-3 together before getting started on the assignment.


Assignment:  section 12-3;  page 492-494;  WE  1-19 all, 21, 23, 25

Geometry; 3/16

We continued working with areas of polygons today by going over parallelograms, triangles, and rhombi.  We went over the formulas and then a couple of examples with each type of polygon.  The students then got started on their assignment.


Assignment:  section 11-2;  page 431;  CE  4-9 all;  page 431-432;  WE  2-22 evens

Honors Geometry; 3/16

We continued our work with solid shapes today by taking a look at pyramids.  The main idea behind pyramids is using the pythagorean theorem and determining dimensions such as lateral edge, slant height, and overall height.  We can then use our area and volume formulas to figure out the needed dimension.  We went through a couple of examples together before getting started on the assignment.


Assignment:  section 12-2;  page 485-486;  WE  1-16  (skip multiples of 3), 21-27 odd

Geometry; 3/15

We started our new unit today that deals with area formulas for a variety of different shapes.  We focused on the first couple of shapes today that included the areas of squares and rectangles.  We then did several different examples together of the way the area formula can be used to determine a number of different values.  

Assignment:  section 11-1;  page 425;  CE  1-12 all;  page 426-427;  WE  9-13, 17-22, 27-28

Honors Geometry; 3/15

We got back our chapter 11 test and went over any questions the students had on it.  We then got started with our new unit that involves the area and volume of solid objects.  Our first object that we took a look at was the prism.  We talked about what lateral edges and faces were, as well as working through several formulas of how to determine area and volume.

Assignment:  section 12-1;  page 478-479;  WE  1-26;  skip every multiple of 3

Geometry; 3/14

We turned in the chapter 9 review sheet to begin the period and then spent the class taking the chapter 9 test.  The students had the period to work on the test.


Assignment:  extra credit puzzle option

Honors Geometry; 3/14

We turned in our chapter 11 review sheets today before taking the chapter 11 test in class.  The students had the class period to work on the test.


Assignment:  extra credit puzzle option

Geometry; 3/11

We went over a couple additional combination problems involving multiple angles in one drawing.  We then spent the rest of the period working on a review sheet for chapter 9 in preparation for the test on Monday, March. 14.


Assignment:  Chapter 9 review sheet


Answers to review sheet:

Circles

1.  90
2.  65
3.  30
4.  30
5.  75
6.  180
7.  105
8.  255
9.  4
10.  10
11.  35
12.  5 radical 3
13.  68
14.  60
15.  7.2
16.  x = 65;  y = 115
17.  95
18.  70
19.  9 radical 21
20.  14.5

Practice 36;  Angles and Segments

1.  100
2.  26
3.  70
4.  50
5.  155
6.  90
7.  40
8.  20
9.  90
10.  110
11.  6
12.  40/3  or 13.3
13.  40
14.  12
15.  x = 6 or x = 4

Honors Geometry; 3/11

We went over a couple more review problems involving the area of shaded regions before getting started on the 2nd of our chapter 11 reviews.  The students used the rest of the period to work on the review.


Assignment:  chapter 11 Review #2


Review #2 answers.

1.  perimeter = 4w + 6;  Area = w squared + 3w
2.  151
3.  240
4.  105.84
5.  42
6.  222.7
7.  30 radical 3
8.  2 radical 3
9.  9
10.  triangle   r=5;  s = 5 radical 3;  p = 15 radical 3;  a = 5/2;  A = 75 radical 3 over 4
11.  square     r = 3 radical 2;  s = 6;  p = 24;  a = 3;  A = 36
12.  50 radical 3
13.  25/81
14.  12:17
15.  144:289
16.  220
17.  1.5
18.  16 radical 3 pi over 3
19.  25 pi
20.  56.52
21.  72

2nd page

1.  364
2.  1:3
3.  160;  120
4.  1/3 as much
5.  goes up 9 times
6.  144
7.  10 radical 5
8.  20 radical 14
9.  base 1 = 6;  base 2 = 18;  height = 10
10.  139.4
11.  33.12
12.  $1000
13.  6 square yards were added
14.  32
15.  137.8
16.  64 pi over 15
17.  16 pi
18.  large circle = 3 pi;   small circle = 3 pi over 4
19.  45 degrees
20.  16 - 2 pi

Geometry; 3/10

We spent some time today going over the topic of segment lengths in circles some more, similar to yesterday.  We also went through a couple of angle combination problems in which several questions are asked about a specific diagram.  The angles on the diagram are all interrelated so each step is important to do in order so that the next question can be answered.  The two diagrams we did together will help prepare us for the questions coming up on the test on Monday, March 14.

Assignment:  Segments and Angles worksheet;  + page 359  WE  1-10

Honors Geometry; 3/10

After going over the homework questions, we spent some time reviewing a little about calculating shaded regions.  After two problems together, we then worked on the review sheet for chapter 11.  We will continue our review tomorrow in preparation for the test on Monday, March 14.


Assignment:  Chapter 11 Review Sheet #1


Review sheet answers:

1.  1.44
2.  32 radical 5
3.  120
4.  2 times x squares
5.  60
6.  198
7.  4
8.  49 radical3
9.  64 pi
10.  49 pi over 4
11.  48 s
12.  36 pi
13.  176
14.  6 radical 3
15.  117
16.  10 radical 3
17.  8 radical 21
18.  2 pi + 4
19.  a.  63       b.  314
20.  150
21.   a.  3:4;     b.  3:4         c.  9:16
22.  5 pi
23.  9:25
24.  9:16
25.  16/25
26.  12 pi + 8
27.  36 radical 3 - 12 pi
28.  (4 - pi) / 4

Geometry; 3/9

We went over the final section in chapter 9 today by talking about other segment lengths in circles.  Similar to yesterday, we focused on inside segments and outside segments.  We went through several different types of examples in working through the problems and reviewed how to factor polynomials as well.  The students then got started on their homework.


Assignment:  section 9-7;  page 363-365;  CE  1-6 all;  WE 1-9, 13-20;  (skip WE #8)

Honors Geometry; 3/9

We finished up the last section of chapter 11 today by going over how to work problems using geometric probability.  We used the areas of various shapes and compared them to total areas to figure out the probabilities.  We went through 4-5 examples together of how to do this before getting started on the assignment.


Assignment:  section 11-8;  page 462;  CE  1-4;  page 463;  WE  #1-10

Geometry; 3/8

We continued working through chapter 9 today by taking a look at other angles that are formed with circles.  We took a look at angles formed both inside and outside of circles and how to determine their value in relation to the arcs that they involve.  We went through several problems and demonstrated two new formulas to use.  The students then got started on their homework assignment.


Assignment:  section 9-6;  page 358-359  CE 1-9 all;  page 359-360;  WE  11-21 all

Honors Geometry; 3/8

The lesson today focused on how to work with area ratios of various shapes.  The main emphasis was the area ratio between similar shapes, as we looked at the relationship between the scale factor, perimeter ratio, and area ratios.  These shortcuts can be used in a wide variety of problems.  The students then got started on their assignment.


Assignment:  section 11-7;  page 458-460;  WE  1-28;  skip multiples of 3

Geometry; 3/7

We went over our chapter 9 quiz from the end of last week to begin the period.  We then spent some more time working on inscribed angle problems that the students will need throughout this week.  We also reviewed some algebra skills with factoring polynomials that the last half of this chapter will require.  The students then got started on their assignment.


Assignment:  Inscribed angles/Polynomials worksheet  + page 354  WE  1-9 all

Honors Geometry; 3/7

We continued our work with sectors and arc lengths today by going over how to find the areas of different types of shaded region inside a circle.  These shapes are really a combination of a couple of shapes that either need to be added or subtracted in order to figure out.  We went over a few examples together before the students got started on their homework.


Assignment:  Arc Length / Sector area worksheet  (odd # problems + 14)  + page 454  WE 13-19 all

Geometry; 3/4

We continued our work with circles and angles today by taking a look at inscribed angles.  These angles have their vertex on the edge of the circle instead of in the center.  The value of these angles is equal to 1/2 the value of the arc that they intercept.  We went through several short drawings that illustrate these problems, as they are mostly mental math exercises.  The students then got started on their assignment.


Assignment: Central and Inscribed Angles worksheet + page 353  CE  4-9

Honors Geometry; 3/4

We continued our work with area today by introducing how to determine the area of sectors of circles and the lengths of arcs.  These are both new vocabulary terms, so we went over how to use the new formulas to calculate them from the circles.  We did 4-5 examples together before the students then got started working on their assignment.


Assignment:  Section 11-6;  page 453;  CE 1-6 all;  WE  1-12 all

Geometry; 3/3

We answered a few questions about the review sheet to start the period today.  The students then spent the rest of the period doing their chapter 9 quiz on circles.  After the quiz, they had the opportunity to work on an extra credit puzzle if they chose to.


Assignment:  extra credit puzzle option

Honors Geometry; 3/3

We went over our Ch. 11 quiz today before starting today's lesson.  The lesson focused on how to work with the area and circumference of circle problems.  We went over the basics before spending some time working through the problem types involving different shapes that are connected together.  We went through a few of these examples before getting started on the assignment.  We also went over the difference between an exact answer using pi and and approximate answer using pi.


Assignment:  section 11-5;  page 448-450;  WE  2-30 evens

Geometry; 3/2

We continued working with arcs and chords in circles today.  Today's lesson involved working with several more types of drawings that are either given or need to be drawn by the students.  We went through those problems before the students got started on their review sheets in preparation for the quiz tomorrow.


Assignment:  Chapter 9 quiz review sheet


Answer key:

Arcs, Central Angles, and Chords

1.  90
2.  135
3.  135
4.  225
5.  45
6.  55
7.  20
8.  60
9.  150
10.  11, 1
11.  12
12.  8 radical 3
13.  60
14.  120
15.  120
16.  4 radical 3
17.  9
18.  9
19.  24
20.  14

Arcs and Chords Practice worksheet

1.  62.5
2.  12
3.  10
4.  24
5.  8
6.  6 radical 3
7.  8

1.  80
2.  24
3.  32
4.  26
5.  13
6.  9

Honors Geometry; 3/2

After turning in our reviews, the students took the chapter 11 quiz today in class.


Assignment:  extra credit puzzle option

Geometry; 3/1

The topic today dealt with how to determine arc and chord lengths in circles.  We went over three shortcuts in our lesson today and learned to decipher several different types of circle drawings.  We used the pythagorean theorem in the process and were able to review our central angle lessons as well.


Assignment:  section 9-4;  page 346;  CE  4,5;    page 347;  WE  1-13

Honors Geometry; 3/1

We worked on a few more problem types today dealing with areas of polygons before we got started on the review sheet for the quiz.  The students spent the last part of the period working on this review assignment.


Assignment:  Chapter 11 Quiz review sheet


Answer key:

Practice 43    Areas of Polygons

1.  35 square meters
2.  72 square cm
3.  36 radical 3
4.  77
5.  60 square cm
6.  60 square cm
7.  central angle = 60;  radius = 18;  apothem = 9 radical 3;  area = 486 radical 3
8.  50
9.  34
10.  48
11.  78
12.  42
13.  48
14.  27 radical 3
15.  8


Areas of Regular Polygons

1.  a.  8;  b.  12
2.  a.  36;    b.  24
3.  4 radical 3
4.  5
5.  2 radical 3
6.  4 radical 2
7.  24 radical 3
8.  36
9.  48
10.  121
11.  64
12.  72
13.  30x
14.  6as
15.  216 radical 3
16.  96 radical 3
17.  27 radical 3
18.  36 radical 3
19.  12 radical 3