Geometry; 5/31

Our study today focused on the volume and area of spheres.  We went over the two formulas that are involved with this shape, and also took a look at hemispheres as well.  The problems either started with the radius and then went towards volume and area, or they started with volume and went back to area or radius.  We worked on both types.  

Assignment:  section 12-4;  page 500-501;  WE 1-12, 16, 18, 19

Honors Geometry; 5/31

The topic today involved geometric rotations.  We went through how to decipher the notation and then figure out the points for the image.  We went over 3 rules that we will work with involving rotations, all with multiples of 90 degrees.  We also distinguished how clockwise and counterclockwise are shown with the rotation notation.

Assignment:  Rotations worksheet + page 590;  WE 15-22

Geometry; 5/30

We went through one more solid object shape today by taking a look at cones.  We introduced a few new formulas that are specific to a cone, and then had a chance to do a couple of example problems before the period ended.  Short class periods today due to testing in the morning.


Assignment:  section 12-3;  page 492-493;  WE 2, 4, 6, 9-16 all

Honors Geometry; 5/30

The topic today was how to work with geometric translations.  We also went through what a glide-reflection is and how to graph it.  The periods were short today due to testing in the morning, so the students got their assignment after the lesson right before leaving class.

Assignment:  section 14-3;  page 586;  WE 1-15

Geometry; 5/29

We continued our work with pyramids today by taking a look at how to determine the lateral edge.  This dimension goes along with the base edge, height, and slant height that we introduced last week to fully cover all the measurements found in a pyramid.  We went through a few examples together before getting started on the assignment.


Assignment:  section 12-2;  page 485;  WE 1-5, 7-12, 14

Honors Geometry; 5/29

We returned from the Memorial Day weekend today and continued our study of transformations.  The topic today was dilations.  We worked with reductions or enlargements, and saw how to handle the scale factor that is associated with each dilation.  We went through 3-4 examples together before getting started on the assignment.


Assignment:  Dilations worksheet + page 596;  WE 9-14, 18-21

Geometry; 5/24

The topic today was how to work with pyramids.  We went over the base edge, slant height, and height of a pyramid.  The use of the pythagorean theorem was incorporated into several of the example problems.  The students then got started on their assignment.

Assignment:  Pyramids worksheet

Honors Geometry; 5/24

Our topic today centered on how to perform geometric reflections.  We identified the notation involved and how to find the line of reflection before working with a figure.  After 3-4 examples, the students got started on their assignment.

Assignment:  Reflections worksheet

Geometry; 5/23

no class today due to the SBA testing schedule

Honors Geometry; 5/23

We began our unit on transformations today.  We introduced the vocabulary word "transformation" and talked about how the word "isometry" applies to transformations.  The first transformation we covered was the reflection of a figure.  We identified the line of reflection (axis of reflection) first and then used this to find the reflected image.  We demonstrated horizontal, vertical, and diagonal lines of reflection before the students got started on their assignment.


Assignment:  Reflections worksheet

Geometry; 5/22

We continued our study of prisms today by taking a look at prisms with a variety of base shapes.  We went over triangular, pentagonal, hexagonal and circular bases (cylinders!) today in our lesson.  The students then got started on their assignment. 


Assignment:  Prisms and Cylinders worksheet  (#1-10)

Honors Geometry; 5/22

no class due to testing schedule

Geometry; 5/21

no class today due to the morning testing schedule

Honors Geometry; 5/21

The students turned in their chapter 12 reviews to start the period.  They then took the chapter 12 test in class today.


Assignment:  none;  extra credit puzzle option

Geometry; 5/18

We started our next unit of study today:  area and volume of solids.  Today's topic was how to work with prisms of different base areas.  We went over what a lateral area is and how to determine its value.  Finding the total area and volume of prisms were also new skills that we walked through together.


Assignment:  section 12-1;  page 478-479;  WE 1-12, 15, 17

Honors Geometry; 5/18

We had our second day of review for the chapter 12 test today in class.  The answers to the review will be posted later today.


Assignment:  Chapter 12 Review #2


Answer Key

Test 47    Important Solids

1.  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.  14 radical 2
14.  12 pi
15.  16 pi
16.  7.5 pi
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


Test 48   Similar Solids

1.  a.  144 pi          b.  288 pi
2.  a.  9 pi              b.  4.5 pi
3.  3
4.  10.7 pi
5.  7 pi
6.  a.   4         b.  8
7.  yes
8.  a.  1:3     b. 1:9     c. 1:3      d. 1:27
9.  a.  1:9     b. 1:8     c. 1:27    d. 1:26

Geometry; 5/17

Today in class the students took the chapter 14 test on transformations. 


Assignment:  none;  extra credit puzzle option

Honors Geometry; 5/17

We spent today going over a few more concepts involving solid objects and the ratios of areas and volumes.  The students worked to get their formula notecards in good order as they started to work on their review assignment.  The majority of the period was spent working on the review.


Assignment:  Chapter 12 Review #1

Answer Key

1. a. triangle ABC     b.  segment AD     c.  ABED
2.  6
3.  84
4.  36
5.  55
6.  approx. 39
7.  17
8.  360
9.  470.8
10.  75
11.  3:4
12.  177.8
13.  9:16
14.  2028.1
15.  2056.4
16.  2967.3
17.  216
18.  216
19.  a.  3       b.  6          c.  6.7   (3 radical 5)
20.  63.2
21.  91.5
22.  56.5  (18 pi)
23.  3
24.  4
25.  14.1  (10 radical 2)

Geometry; 5/16

Our work today centered on taking a look at 3-4 different types of drawings in which all the transformations can be performed on.  This was really just some more practice with labeling transformations and being able to interpret the rule notation that we have using with various drawings.  The students then spent the remainder of the period working on another transformations review in getting ready for tomorrow's test.


Assignment:  Transformations Review #2

Honors Geometry; 5/16

Our topic today involved taking a look at similarity and solid objects.  This was much like what we did with areas.  We went through 3-4 examples to show that the scale factor can be determined from a variety of dimensions on a figures.  The ratio must always be the same for the objects to be similar, however.  The other ratios that we looked at then showed that any area ratio was equal to the scale factor squared, and the volume ratio was equal to the scale factor cubed.  The students then started using these relationships as they did their homework.


Assignment:  section 12-5;  page 511-512;  WE 1-11, 13, 17-19, 21

Geometry; 5/15

Our topic today focused on how to compose two different transformations together.  The notation and the order of these changes is a little different from what we are used to, so we went through 3-4 examples together before getting started on the homework.  Part of the work centered around reviewing for the test on Thursday as well by working on dilations and translations.


Assignment:  Dilations/Translations WS + page 602-604;  CE 3-8;  WE 5, 6, 10

Honors Geometry; 5/15

Our topic today involved the surface area and volume of spheres and hemispheres.  We went through 4-5 examples of how to use these formulas, showing the students how to interpret different types of drawings as well.  The students then got started on their assignment.


Assignment:  Section 12-4;  page 500-502;  WE 1-29;  (skip multiples of 3 and #28)

Geometry; 5/14

Our topic of study today was to take at look at both line and rotational symmetry.  We worked through a variety of pictures to illustrate each type of symmetry, and saw the patterns necessary to calculate the number of lines of symmetry and the order of rotational symmetry.  The students then got started on their assignment.


Assignment:  Line and Rotational Symmetry worksheets

Honors Geometry; 5/14

We continued our study of 3-D shapes today by taking a look at how cylinders and cones work.  We went over the area of the bases, the lateral area, the total area, and the volume of each of these shapes in our lesson today.  They area quite similar to prisms and pyramids, so after 2-3 examples, the students got started on their assignment.


Assignment:  section 12-3;  page 492-493;  WE 1-19, 21, 23, 25

Geometry; 5/11

The transformation topic today consisted of learning about rotations.  We went over the rules and notation involving rotations, and practiced 4-5 examples together before getting started on the assignment.


Assignment:  Rotations worksheet

Honors Geometry; 5/11

We continued our work with volume and area of solid figures today by taking a look at pyramids.  New vocab terms of lateral edge and slant height were introduced to our drawings and calculations as we worked through 2-3 examples together.  The students then got started on their assignment.


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

Geometry; 5/10

Our work today focused on the next transformation in our study:  dilations.  These changes involve figures either enlarging or contracting to form similar shapes.  The similar shapes have a scale factor associated with them, so we went through how to determine the scale factor from both drawings and coordinates.  After 3-4 examples and drawings, the students got started on their assignment.


Assignment:  Dilations worksheet

Honors Geometry; 5/10

The students got back their chapter 11 test today and had a chance to look over any mistakes they had made.  We then started our next unit of study:  area and volume of solids.  Today's topic was how to work with prisms of different base areas.  We went over what a lateral area is and how to determine its value.  Finding the total area and volume of prisms were also new skills that we walked through together.


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

Geometry; 5/9

We continued our work with transformations today by taking a look at translations.  These movements are just slides in a particular direction.  We introduced the notation that indicates a translation, and also how this movement coincides with our study of vectors from earlier in the year.  We went through 2-3 examples together before getting started on the assignment.


Assignment:  translations worksheet

Honors Geometry; 5/9

The students took the chapter 11 test in class today.


Assignment:  none;  extra credit puzzle option

Geometry; 5/8

We started our unit on geometric transformations today by taking a look at how to reflect figures.  Lines of reflection, images and preimages, diagonal, horizontal, and vertical lines were all topics that we introduced/revisited in going through this lesson.  The students then got started on their assignment. 

Assignment:  Reflections worksheet

Honors Geometry; 5/8

We worked through a couple more geometric probability problems together today, emphasizing the fact that we can still do a probability question even without numbers provided.  The students then used the rest of the period to work on their chapter 11 reviews.  Test tomorrow.

Assignment:  Chapter 11 review


Test 46:  Chapter 11 Test

1.  1.44
2.  32 radical 5
3.  120
4.  2 x squared
5.  60
6.  198
7.  4
8.  49 radical 3
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; 5/7

We answered a couple of questions together from the chapter 11 review.  The students then turned in their reviews and entry tasks from Ch. 11 before taking the rest of the period to complete the chapter 11 test.


Assignment:  none;  extra credit puzzle option

Honors Geometry; 5/7

Geometry; 5/4

We spent time today reviewing for the chapter 11 test on Monday.  There were 3-4 review problems that we went over together before getting started on the ch. 11 review sheet.

Assignment:  Chapter 11 Review


Answer Key:

1.  361
2.  112
3.  area = 309.1;  perimeter = 70.6
4.  100 radical 3
5.  area = 405;  perimeter = 88
6.  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.  25 pi - 50
14.  sector = 103.6
15.  central angle = 240
16.  r = 6
17.  4/49
18.  x = 98;  A = 24
19.  a. 1/100        b.  6/25
20.  a.  1/6;  .17;  17%          b.  1/2;   .50;     50%

Honors Geometry; 5/4

Our topic today focused on how to determine area ratios between similar figures.  These figures have perimeter ratios and scale factors as well.  We went through 3-4 examples together of how to work with each of these ratios with different types of figures.  The students then got started on their assignment.


Assignment:  section 11-7;  page 458-460;  WE 1-15;  20, 23, 26-28

Geometry; 5/3

We continued our work with geometric probability today by illustrating how to do a few different types of segment problems.  One type involved inequalities and the other was a series of word problems involving time.  We went through 3-4 examples together before the students got started on their assignment.


Assignment:  geometric probability worksheet  #1-28

Honors Geometry; 5/3

Our work today focused on how to determine the value of central angles that are associated with arcs and sector areas.  We went through 2-3 examples of this particular skill together.  We also worked on how to determine the area of various types of shaded regions using sectors and triangles together. 

Assignment:  arc - sector worksheet + page 454;  WE 13-18

Geometry; 5/2

Our topic today was how to calculate geometric probabilities.  We used both segments and various area values in order to determine the necessary probabilities.  The concept of finding the area of the desired location and dividing it by the total possible area was illustrated several times before getting started on the assignment.

Assignment:  section 11-8;  page 462;  CE 1, 3, 4;  page 463;  WE 5, 7, 8

page 465;  Self Test 2  #1-5

Honors Geometry; 5/2

Our work today focused on how to determine arc lengths and sector areas.  These were two new concepts that involved working with the fraction of a circle for the first time.  We went through 4-5 examples together before getting started on the assignment.


Assignment:  section 11-6;  page 453;  CE #1-4, 6;  WE #1-12

Geometry; 5/1

We went through the topic of similarity ratios and area today.  We reviewed what a scale factor is and how it can be used to determine area ratio and the perimeter ratio of various figures.  We went through 3-4 examples together to show the pattern of how to use the scale factor before getting started on the homework.


Assignment:  Similarity and Area Ratios worksheet

Honors Geometry; 5/1

We continued working with our area unit today by taking a look at our next figure:  circles.  We had previously studied various properties of circles, but today we focused on the area and circumference of circles.  We went over how to get exact values of circles using pi and also using approximations of pi.  We also went over 3 combination word problems using the various formulas we have been learning.


Assignment: Section 11-5;  page 448-450;  WE #1-17;  20, 24, 26, 27