Geometry; 4/28

We spent some time reviewing some of the homework problems before taking one more look at how to work with regular polygons.  We then prepared for the quiz on Monday by making a note card of all the formulas we have been studying this chapter.  All of these area formulas will be used on the quiz on Monday.  We also reviewed the special right triangle shortcuts and the trig ratios.  The students then got started on their review sheet for the chapter 11 quiz.

Assignment:  Chapter 11 quiz review

Practice 43:  Areas of Polygons

1.  35
2.  72
3.  36 radical 3
4.  77
5.  60
6.  60
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.  18

Areas of Regular Polygons  (just do the odds)

1.  a. 8;  b.  12
3.  4 radical 3
5.  2 radical 3
7.  24 radical 3
9.  48
11.  64
13.  30x
15.  216 radical 3
17.  27 radical 3
19.  12 radical 3

Honors Geometry; 4/28

The students turned in their review sheets and chapter 11 entry tasks at the beginning of the period.  The rest of the time today was spent working on the chapter 11 test.


Assignment:  none;  extra credit puzzle option

Geometry; 4/27

We continued our work with area formulas today by taking a look at how to figure out the area of regular polygons.  A new vocab term -- the apothem -- was introduced today and we went over how to use it in the various shapes we were working with.  We used several special right triangle shortcuts in order to figure out the areas of the regular polygons.  After a few examples together, the students got started on their assignment.

Assignment:  Regular Polygons worksheet

Honors Geometry; 4/27

We spent time working through various homework problems today before doing a couple more probability problems to review.  The rest of the time was spent working on the review sheet in preparation for the test tomorrow.  The answers to the review sheet appear below.


Assignment:  Chapter 11 review sheet

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; 4/26

We continued our work with areas today by taking a look at how to work with the areas of trapezoids.  We reviewed some earlier concepts of trapezoids together and then went over how use the area formula.  After 4-5 examples together, the students then got started on their assignment.


Assignment:  Section 11-3;  page 435; CE #1-3;  page 436-437;  WE  #1-20 all

Honors Geometry; 4/26

Today's lesson focused on how to work with the area of figures to determine the probability of an event occurring.  We went through the basic concept of what probability is and then how to apply it to various types of problems involving area.  We went through 4-5 examples together before getting started on the assignment.

Assignment:  Section 11-8;  page 462;  CE 1, 3, 4;  page 463;  WE #1-2, 5-10

Geometry; 4/25

We continued our work with areas today by taking a look at the area formulas for the parallelogram, the rhombus, and the triangle.  We went through how these formulas are derived and then 1-2 samples of each type of problem.  We reviewed the ideas of trig ratios and pythagorean theorem and how to use these tools to get the necessary dimensions.  The students then got started on their assignment at the end of the period.

Assignment:  section 11-2;  page 431;  CE 4-9 all;  page 431-432;  WE  #1-15, 17, 21, 23

Honors Geometry; 4/25

We continued our work with areas today by taking a look at how area and perimeter ratios can be determined between similar shapes.  We reviewed how to find and work with the scale factor, and then showed some short cuts in doing these area ratio problems.  We went over 4-5 examples together before getting started on the assignment.


Assignment:  ratio of areas worksheet (#1-11) +  section 11-7;  page 458-459;  WE #1-8, 10, 13, 23

Geometry; 4/24

We started a new unit today that will focus on the study of the area of polygons.  We will go over a number of the shapes that we have previous used in other chapters and work to determine the area of them.  Today's topic was squares and rectangles.  This foundational shape was reviewed along with trig. ratios and the pythagorean theorem.  We went over a few examples together before getting started on the assignment.


Assignment:  section 11-1;  page 425;  CE 3-12;  page 426-427;  WE 9-11, 17-22. 26, 28

Honors Geometry; 4/24

We continued our work with central angles and sectors today by going over some additional problems known as shaded area problems.  These problem types involve working with two regions (sectors and triangles) at the same time, and either adding or subtracting the results.  The main thing is to interpret the drawings so you know what areas to add and subtract.  We went over a few of these problems together before getting started on the assignment.


Assignment:  section 11-6;  page 454;  WE 13-19

Geometry; 4/21

We turned in our chapter 10 review sheet at the beginning of the period and went over any last minute questions that students asked.  The class then took the rest of the period taking the chapter 10 test.


Assignment:  none;  extra credit word search option

Honors Geometry; 4/21

We continued our work with circles today by going over how to determine the area of a sector of a circle and also the length of an arc of the circle.  Both of these are linked to our earlier study of central angles, and each one considers a fraction of the total circle that is being asked about.  We went over 5-6 questions together that demonstrated how to go both forwards and backwards using the formulas.


Assignment:  section 11-6;  page 453;  CE  #1-6 (skip #5), WE #1-12

Geometry; 4/20

We went through a few more constructions together of the ones that are most commonly missed.  The rest of the period was spent working on the review sheet for the constructions test tomorrow.


Assignment:  Chapter 10 review packet on constructions

Honors Geometry; 4/20

The students got back their chapter 11 quiz today and we went over any questions they had.  We then got started on the next area topic:  circles.  We went over both formulas for the area of a circle and the circumference of a circle.  We introduced the concept of giving an exact answer or an approximate one using either 3.14 or 22/7.  We then did a few mixed shaped problems that different formulas needed to be applied to get the answer.


Assignment:  section 11-5;  page 448-450;  WE  #1-18, 21, 26, 27

Geometry; 4/19

We continued our work with constructions today by showing how to construct proportional segments.  Specifically, we worked with cutting segments into odd numbered pieces.  We also demonstrated how to construct a geometric mean when given two specific segment lengths.

Assignment:  section 10-5;  page 399;  WE 1, 2b, 3a, 5, 6

Honors Geometry; 4/19

We answered a few questions from the review sheet today before getting started on the chapter 11 quiz.  The students took the rest of the period to take the quiz.

Assignment: none;  extra credit puzzle option

Geometry; 4/18

We continued working on constructions today by demonstrating how to construct tangent lines to circles and how to use tangents to construct objects around circles.  We went through 3-4 examples together before getting started on the assignment.


Assignment:  section 10-4;  page 395;  WE 1, 2, 4, 5, 7-10, 12-14

Honors Geometry; 4/18

We went over homework questions together before starting today's review lesson.  We went through the 7 area formulas that we have been working on so far this chapter.  We then demonstrated two different types of area problems that use trig ratios in order to answer them.  The students then got started on their review assignment.


Assignment:  Chapter 11 Quiz review worksheet


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

Area 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

Geometry; 4/17

We continued our work with constructions today by taking a look at other constructions that involve circles.  We went through how to inscribe a circle today (using angle bisectors), and also how to circumscribe circles around various shapes.  We went through 3-4 examples together before getting started on the assignment.

Assignment:  circle construction worksheet + page 390 #1-4

Honors Geometry; 4/17

We continued our work with area formulas today by taking a look at how to figure out the area of regular polygons.  We used our previous knowledge of circles to do this and also introduced a couple of new vocab terms that apply to polygons.  We learned how to find the perimeter, apothem, and radius of a regular polygon in order to determine its area.  We went through the formula setup and then did a couple of example problems before the students got started on their assignment.


Assignment:  section 11-4;  page 443-444;  WE 1-17 all

Geometry; 4/14

We took a few questions about last night's homework assignment before getting started on the constructions quiz today in class.  The students had the period to work on the quiz.


Assignment:  extra credit puzzle option

Honors Geometry; 4/14

We continued our work with area today by taking a look at how trapezoids are calculated.  These areas are based on two triangles with each trapezoid, and also by using a concept of a median/midsegment of a trapezoid that we worked with earlier in the year.  We went over 4-5 examples together before the students got started on their assignment.


Assignment:  section 11-3;  page 436-437;  WE  1-23 all, 29, 30

Geometry; 4/13

We continued working on our construction skills today by adding three more figures to our repertoire.  We made a rhombus using the two diagonals that bisect and are perpendicular.  We also drew the 3 medians of a triangle and showed that they meet in a common point.  This common point of intersection is called the centroid and is an example of how these three medians are concurrent lines that meet in the same point.  We also drew the 3 perpendicular bisectors of a large triangle to show that they too meet at a common point called a circumcenter.  The students then got started on their assignment.


Assignment:  Medians and perpendicular bisectors worksheet

Chapter 10 quiz is tomorrow

Honors Geometry; 4/13

no class today as all freshmen were taking the PSAT practice test

Geometry; 4/12

We continued to work with constructions today by showing students how to construct various figures.  We worked on different types of triangles, squares, rectangles, and parallelograms today.  We used the earlier skills to build these shapes one piece at a time.


Assignment:  Construction WS with Figures

Honors Geometry; 4/12

This was day #2 of our algebra skills inventory test.  We went over a few homework questions to start the period, but then the rest of the time was spent on the algebra test.  Once that was done, the students then got to work on their assignment for the day.


Assignment:  page 444;  self test 1;  #1-6, 10

Geometry; 4/11

We continued our work with constructions today by going over how to construct midpoints, perpendicular bisectors, perpendicular lines, and parallel lines.  All of these skills will serve us in larger constructions to come.  We went over 5 examples together and then the students got started on their assignment.


Assignment:  section 10-2;  page 383-384;  WE  #1-12

Honors Geometry; 4/11

We went over our homework assignment today before taking the first part of the district algebra skills inventory exam.  This will be used to generate data on student knowledge of algebra and for helpful use in properly placing students in the correct math class as they enter high school as freshman.  The students got started on an assignment once they finished.

Assignment:  Section 11-1 and 11-2 worksheet  (#1-16)

Geometry; 4/10

Welcome back from Spring Break!  We picked up today where we left off and continued working on some of the foundational constructions that are needed in this chapter.  The skills we demonstrated today were adding and subtracting angles, copying triangles, and coming up with how to draw a 60 degree angle.  We did several examples before getting started on the assignment.


Assignment:  section 10-1;  page 378-379;  WE  1-8, 11-14, 17-20

Honors Geometry; 4/10

Welcome back from Spring Break!  The race to the finish that is the 4th quarter begins!  We spent some time today answering any questions from the introductory assignment that was given out before break, and then got into the next lesson in the chapter.  We went over how to work with the area of three more shapes today -- the parallelogram, the triangle, and the rhombus.  We explained the formulas and then went over a few examples of how to find the dimensions of the various shapes to plug into the formulas.  There is a lot of review of right triangles in these topics, so hopefully the concepts that we have studied before will come back to be useful as we go through this chapter.

Assignment:  section 11-2;  page 431-433;  WE  #1-24, 35, 36