Geometry; 4/30

We continued our work with arcs and sectors today by taking a look at how to calculate central angles from these formulas.  We also worked through a few "shaded region" problems in which we needed to use both circles and triangles to determine the areas of various figures.


Assignment:  Sector area / arc length WS +  page 454;  WE 13-16 all

Honors Geometry; 4/30

We went over a few questions on the review sheet to begin the class.  The students then turned in their reviews and took the remainder of the period to complete the chapter 11 quiz.


Assignment:  none;  extra credit puzzle option

Geometry; 4/27

We continued our work with area today by taking a look at sector areas and arc lengths of circles.  We went through a few examples for each topic before the students got started on their assignment.


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

Honors Geometry; 4/27

We continued working on the area of regular polygons today by showing how to work with problems involving trig ratios.  We went over a couple of examples together before getting started on the review.


Assignment:  Chapter 11 quiz review worksheet

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.  8

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

Geometry; 4/26

Our study of area and perimeter today focused on working with circles.  Both complete and semicircles were demonstrated in the examples, and the students worked with the familiar formulas of area and circumference of circles.  We also showed the difference between an exact and approximate value to areas in working with circles.  After 4-5 examples, the students then got started on their homework.


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

Honors Geometry; 4/26

We continued our study of area today by taking a look at how to determine the area of regular polygons.  We introduced the term "apothem" today in working with these shapes, and used various triangle shortcuts to determine the area formula for regular polygons.  After 3 examples together, the students then got started on their homework.

Assignment:  section 11-4;  page 443-444;  WE 1-20 all  (skip #17)

Geometry; 4/25

We answered a few questions from the review sheet to start off the period.  The students then spent the rest of the time taking the chapter 11 quiz.

Assignment:  none;  extra credit puzzle option

Honors Geometry; 4/25

We continued our work with area of figures by taking a look at trapezoids today.  We reviewed what the figure was and how to determine the median/midsegment value.  We also went through the area calculation options using the formula we derived.  After 3-4 examples, the students then got started on their assignment.

Assignment:  section 11-3;  page 436-437;  WE 1-9 odd,  10-23 all, 29, 30

Geometry; 4/24

We continued working on the area of regular polygons today by showing how to work with problems involving trig ratios.  We went over a couple of examples together before getting started on the review.  We also double checked our area formula note cards in order to be sure that all of the correct formulas were written down for tomorrow's quiz.


Assignment:  Chapter 11 quiz review worksheet

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; 4/24

We continued our work with area of polygons today.  The figures that we introduced today were parallelograms, rhombuses, and triangles.  Each one of these has its own distinct area formula, yet each one heavily uses right triangle tools and shortcuts to solve the overall area.  We went over 3-4 examples together before getting started on the assignment.


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

Geometry; 4/23

We continued our work with area today by taking a look at how to determine the area of regular polygons.  We used concepts from circles and triangles to help us in this process, especially the special right triangle ratios.  We introduced the vocabulary word "apothem" and then went through 2-3 problems together in order to see the different methods of using the formula.


Assignment:  Area of Regular Polygons worksheet  (11 selected problems)

Honors Geometry; 4/23

We got started on the next chapter today by introducing how to determine the area of rectangles and squares.  We relied heavily on previous work with special right triangles and right triangle trig ratios in order to demonstrate the different ways that the area formula can be used.  We went through 3-4 examples together before the students got started on their assignment.


Assignment:  section 11-1;  page 426-427;  WE 1-28 all

Geometry; 4/20

Today was a work day to get more practice with the various area formulas that we have introduced this week.  After going over our homework and trying an entry task, the students had the period to work on their assignment covering the first three sections of the chapter.


Assignment:  Area of Figures worksheet

Honors Geometry; 4/20

The students took the chapter 10 test on constructions today.  Entry tasks and review sheets were also turned in.


Assignment:  none

Geometry; 4/19

Our work with area today focused on trapezoids.  We went over some review material of what we had studied previously in chapter 5 to start with.  We then derived the formula for the area of a trapezoid before using it with 4 sample problems.  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; 4/19

We finished our study of constructions today by working through the process of how to construct the geometric mean between two segments.  We went over one together and then the students practiced one on their own.  They they spent the rest of the period working on their ch. 10 review for the the upcoming test tomorrow.

Assignment:  Chapter 10 Constructions Test review

Geometry; 4/18

We continued our work with area of polygons today by taking a look at parallelograms, triangles, and rhombi.  Each one of these shapes has a short area and perimeter formula that we derived and then used in some sample problems.  After 3-4 examples together and getting the formulas recorded on their notecard, the students then got started on the assignment.


Assignment:  section 11-2;  page 431;  CE 4-9;  page 431-432;  WE 2-24 evens

Honors Geometry; 4/18

Our construction work today focused on how to divide segments into congruent odd numbered parts.  These proportional lengths complete the range of segments that we can construct with both odd and even numbered parts.  We also went through a couple of other proportional length constructions before getting started on the assignment.


Assignment:  section 10-5;  page 399;  WE 1, 2a, 43a, 4, 8

Honors Geometry; 4/17

Today we constructed tangents to circles from a point on the circle and a point not on the circle.  We also showed methods for inscribing squares and triangles that are different from the methods we have previously demonstrated.

Assignment:   Section 10-4;    page 395;  WE 1-10, 12-15

Geometry; 4/16

The students turned in their entry tasks and chapter 9 reviews at the beginning of the period.  They then spent the rest of the period taking the chapter 9 test.


Assignment:  none

Honors Geometry; 4/16

Our constructions topic today was concurrent lines.  We worked with examples of angle bisectors, perpendicular bisectors, and medians to determine the point at which all three concurrently intersect in a triangle.  These points were called the incenter, circumcenter, and the centroid, respectively.  Each one was used to construct or calculate other figures.  We went through 3 examples together before getting started on the assignment.


Assignment:  section 10-3;  page 388-389;  CE 1-6;  WE 1-5

Geometry; 4/13

Today's schedule involved shorted periods due to the elections assembly.  We went over some homework problems together to begin the period before getting started on the 2nd review assignment in preparation for the chapter 9 test on Monday, April 16.


Assignment:  Chapter 9 Review assignment


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.  13.3
13.  40
14.  12
15.  x = 6 or x = 4


Practice 37;  Chapter 9 Practice

1.  AD
2.  OA, OD, OC
3.  AC or AD
4.  BA or BC
5.  110
6.  55
7.  90
8.  55
9.  70
10.  5
11.  120
12.  30
13.  15
14.  4
15.  8
16.  2


1.  5
2.  PR, PQ, PS
3.  tangent
4.  inscribed
5.  58
6.  arc RQ and arc QS;  arc RP and arc PS
7.  RP and PS
8.  AD = 9;  BC = 5
9.  arc JK = 130;  arc HKJ = 310
10.  LM = 3 radical 3

Honors Geometry; 4/13

Today's schedule involved shorted periods due to the elections assembly.  We went over some homework problems together before working on the constructions figures WS which reviews all the skills that we have learned this week.


Assignment:  Constructions of Figures worksheet

Geometry; 4/12

We continued our work with circles today by spending about half the period working in pairs as we reviewed several different problem types together.  The students were encouraged to use their notecards and check their work with each other as we spent time reviewing for our upcoming test. 

The last part of the period was spent getting started on the first review for the test on Monday, April 16.



Assignment:  Sect. 9-1 to 9-4 review

Honors Geometry; 4/12

We continued our study of constructions today by going over how to construct various types of segments and figures.  We showed perpendicular bisectors, altitudes, medians, parallelograms, squares, and rhombi today.  The students then got started on their assignment to practice making these figures.


Assignment:  section 10-2;  page 384;  WE 14-24 all

Geometry; 4/11

Today's topic centered on working with larger drawings involving several segments and angles all at once.  No new concepts were learned.  The goal of today was just to learn how to interpret and work with larger drawings.  We went through 2 examples together before getting started on the assignment.


Assignment:  Angles and Segments in Circles worksheet

Honors Geometry; 4/11

We continued our work with constructions today by demonstrating how to draw perpendicular bisectors in a variety of settings.  Establishing two reference points was a key part of each perpendicular that was drawn.  The second skill shown was how to construct parallel lines.  The students then got started on their assignment.

Assignment:  section 10-2;  page 383-384;  WE 1-13;  page 378;  WE 17

Geometry; 4/10

Honors Geometry; 4/10

Geometry; 4/9

Welcome back from Spring Break!  We picked up where we had left off before break by continuing to work with circles.  Today's lesson focused on how to determine the value of interior angles and their intercepted arcs.  We went through a simple formula and how to use it in order to do this.  We then demonstrated a very similar formula for exterior angles.


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

Honors Geometry; 4/9

Welcome back from Spring Break!  The students got their chapter 9 tests back today and were able to ask any questions that they had on problems they had missed.  We then got started with our next unit of study :  geometric constructions.

We went over how to copy segments and angles today, as well as adding and subtracting angles.  The last construction we did was showing the method of bisecting angles. 


Assignment:  Basic Constructions worksheet