Geometry assignment; 4/29 and 4/30

These are both half-days due to the first round of state SBAC testing.  Each day involves only 3 periods.

After we went over our homework, the students took their chapter 13 quiz covering sections 13-1 to 13-4.  Once the quiz was over, the students got started on their assignment.


Assignment:  Distance formula worksheet  #1-23 odd

Algebra 10-12 assignment; 4/29 and 4/30

These are half-days due to the first round of state SBAC testing.  Each day involves only 3 periods.  We spent some time today going over an entry task to review for the quiz and then took the chapter 8 quiz on solving systems by graphing, substitution, and elimination.  The students then got started on their assignment after the quiz.


Assignment:  Solving systems by graphing worksheet

Geometry assignment; 4/28

Today's lesson was a little bit review and a little bit more on vectors.  We talked about how to add vectors together and what a vector force diagram looks like.  We went through a few examples and then reminded the students about calculating the equations of circles.  The students then got started on their homework.


Assignment:  section 13-4;   page 542;  WE  20-25, 27-28
                                 Self Test l,  page 547,  #1a, 2a, 3a, 4a, 5-13

Quiz tomorrow over sections 13-1 to 13-4

Algebra 10-12 assignment; 4/28

We continued working with systems of equations and solving them by elimination today.  The examples we went over today dealt with changing both equations before eliminating the variables.  After going through several together, the students then got started on their homework.


Assignment:  section 8-3;  page 371;  #1-6 all, 14, 16, 18, 22, 24, 26, 31

Geometry assignment; 4/27

We continued our study of coordinate geometry today by taking a look at how vectors work and how they are used to determine locations.  We went through several problems together before getting started on the homework assignment.



Assignment:  section 13-4;  page 541;  CE  #1;  page 541-542;  WE  #1-19 all

Algebra 10-12 assignment; 4/27

We continued our work with systems of equations today by introducing the third method of solving these systems:  solving by elimination / addition.  We went through 4-5 examples together before getting started on the homework assignment.


Assignment:  Solving by elimination worksheet  #1-16 all

Geometry assignment; 4/24

We reviewed the concept of slope today and how it relates to parallel and perpendicular lines.  Parallel lines have equal slopes while perpendicular lines have slopes that are negative reciprocals.  Using these two concepts to confirm various properties about geometric shapes is what the 3 examples were about that we went over in the notes.  Graphing points to determine the figure and then confirming perpendicular or parallel lines on the figure are the skills we worked on today.


Assignment:  section 13-3;  page 537-538;  WE  #1-6 all, 9-11, 13-15

Algebra 10-12 assignment; 4/24

We continued working with solving systems by substitution today, and included a few word problems as well.  The examples that we did involved translating words into equations and then solving the system.


Assignment:  section 8-2;  page 365;  #1-11 odd, 19, 20, 22, 24, 26

Geometry assignment; 4/22

We continued our work with the distance formula and the equation of circles today.  We went over several problems involving graphing circles from their equations and how to use the distance formula to confirm various geometric shapes.  After the examples in class, the students got started on their assignment towards the end of the period.



Assignment:  equation of circles worksheet +  page 526-527;  WE  #25-28, 31, 35, 36

Algebra 10-12 assignment; 4/22

We continued our work with solving systems of equations by graphing today.  We went over a few more problems together of how to work with this method and then the students got started on their homework.


Assignment:  Solving Systems by Graphing worksheet

Geometry assignment; 4/23

We continued our work with coordinate geometry today by reviewing the concept of how to work with the slope of lines.  These concepts are review from algebra, but they will be used as we go forward in this chapter.  The concepts we talked about were positive, negative, zero slope, undefined slope, and how to calculate slope from graphs and from two points.


Assignment:  slope worksheet +  section 13-2;  page 532;  #1-15 all

Algebra 10-12 assignment; 4/23

We worked on the 2nd method of solving equations today:  solving by substitution.  This is a method with multiple steps, so we went through a few problems together both in the notes and in the homework.  The students then got started on their assignment at the end of the period.


Assignment:  solving systems by substitution worksheet  #2-20 evens

Geometry assignment; 4/21

We started a new unit today dealing with coordinate geometry.  We will review some algebra concepts during this particular chapter, as well as learning some new geometry skills to add to the algebra graphing concepts we already have studied.  The focus of today was working with the distance formula again and using it to determine the equation of a circle.


Assignment:  section 13-1;  page 526;  WE  #1-24 all

Algebra 10-12 assignment; 4/21

We started on new unit on systems of equations today in class.  We went over what a system was, how to check a solution for a system of equations, and also how to graph a system of equations.  There are several ways to work with systems and we will continue to emphasize graphing as we move forward.


Assignment:  Section 8-1;  page 360;  #1-15 all, 17-20 all

Geometry assignment; 4/20

We took our chapter 11 test today on areas of polygons.  The students had the entire period to work on the test.  There was an extra credit option at the end of the period for the students to work on if they so chose.

Assignment:  extra credit option

Algebra 10-12 assignment; 4/20

I was gone from class today, so the students worked on an EOC review packet during the class period.

Assignment:  EOC review packet

Geometry Ch. 11 Review Sheet Answers; 4/18

The answers to the Chapter 11 Review Sheet appear below:

1.  361 square inches
2.  112 square inches
3.  perimeter = 70.6 cm
4.  area = 173.2 square cm
5.  area = 405 square inches
6.  area = 665.1 square cm
7.  area = 28 square cm
8.  area = 75 square cm
9.  area = 173.2 square units
10.  area = 96 square cm
11.  area = 615.4 square feet;  circumference = 87.9 feet
12.  arc length = 2 pi
13.  area = 25 pi - 50
14.  area = 103.6 square units
15.  central angle = 240 degrees
16.  radius = 6
17.  ratio of areas = 4/49
18.  perimeter = 98 inches;  area = 24 square inches
19.  a.  probability = 1/100       b.  probability = 1/4
20.  a   probability = 1/6  =  0.167  =  16.7%
       b.  probability = 1/2  =  0.50  =  50%

Geometry assignment; 4/17

We went over our homework today that dealt with geometric probability and then covered a couple of review problems together.  The rest of the time was spent working on the review sheet for the test that will be on Monday.  The review sheet answers will be posted on this site this weekend.


Assignment:  Chapter 11 test review sheet

Algebra 10-12 assignment; 4/17

After a quick entry task today to review a few concepts dealing with functions, the students then took the chapter 12 test on Functions today in class.  After the test was done, the students then could work on an extra credit assignment if they chose to.

Assignment:  extra credit option

Geometry assignment; 4/16

We covered our final topic in chapter 11 today by going over how to work with geometric probability.  We used various examples from segments to pie charts to circles to rectangles to calculate the geometric probabilities for various events.  After going through the notes together, the students then got started on their homework.  We will work on a review sheet tomorrow in preparation for the chapter 11 test on Monday.


Assignment:  Geometric Probability worksheet

Algebra 10-12 assignment; 4/16

We covered the last topic of the types of variation today by going over combined variation.  The students saw a few examples of this type of variation together before they then got started on their assignment.  The assignment also included a review sheet in preparation for tomorrow's test on Chapter 12, functions and relations.


Assignment:  Chapter 12 review sheet +  section 12-7; page 568;  #6-10

Geometry assignment; 4/15

We covered the topic today of how to work with area ratios and similar figures.  Using some previous knowledge of similarity ratios, we were able to show that the scale factor is equal to the perimeter ratio.  The area ratio is also related to the scale factor by being the square of the scale factor.  We went through several problems together before the students got started on their homework.


Assignment:  Area Ratios and Similarity worksheet

Algebra 10-12 assignment; 4/15

We worked on another type of variation today in class:  joint variation.  This is closely related to direct variation, only with more variables involved.  We worked through 4-5 problems together with some whole group practice before getting started on the homework assignment.


Assignment:  Variation types worksheet  #1-12

Geometry assignment; 4/14

We spent another day today working on arc lengths and sector areas.  We went through different examples of how to use these formulas to determine the radius, central angles, and diameters of circles.  We also showed how to determine the area of shaded regions when they involve sectors and triangles.


Assignment:  Arc-Sector worksheet +  page 454;  #13, 14

Algebra 10-12 assignment; 4/14

The topic today focused on inverse variation problems.  As with direct variation, we spent time seeing how to calculate a constant of variation and then use this constant to plug values into the formula we created.  We went through several examples together before getting started with our assignment.


Assignment:  section 12-6;  page 563;  #1-12 all,  15-19 all

Geometry assignment; 4/13

Today's topic focused on the how to calculate arc lengths and the areas of sectors.  These terms are related to the circumference and area of circles and are essentially fractions of these measurements.  We went through several examples together before getting started on our assignment.


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

Algebra 10-12 assignment; 4/13

Today we began studying how direct variation occurs between variables.  We went over what a constant of variation is and learned how to calculate it.  We then went through several word problem examples with direct variation before getting started on the homework.


Assignment:    section 12-5;  page 558;  #1-15 all

Geometry assignment; 4/10

The students took a quiz today over sections 11-1 to 11-5.  Once the quiz was done, the students got to work on their assignment.


Assignment:  Regular polygons worksheet  #2-20 evens

Algebra 10-12 assignment; 4/10

We took a chapter 12 quiz today on working with functions.  (sections 12.1 to 12.3).  After the quiz, the students got started working on a short homework assignment.


Assignment:  identifying functions worksheet

Geometry assignment; 4/9

We continued working with areas of circles and their circumferences today.  Today's focus was on how to determine the area of shaded regions that involve circles, squares, and rectangles.  We went over 3-4 sample problems together before getting started on the assignment.


Assignment:  Shaded figure worksheet  #1-7, 9-11 +  Self Test 1, page 444,  #1, 2, 4, 7, 8

Quiz tomorrow over section 11-1 to 11-5

Algebra 10-12 assignment; 4/9

Today our focus on functions centered on working with word problems.  We went through several examples of how to write a function from a word problem and then use the function to answer a question.  The students then got started on the homework towards the end of the period.


Assignment:  section 12-3;  page 548,  #1-6;    page 571-572,  #1-7, 11-13

Geometry assignment; 4/8

We discussed a new topic today in dealing with area and circumference of circles.  We had covered this briefly during our chapter on circles, but today we focused on two ways to do these types of problems:  using the exact value of pi or the approximate value of 3.14 or 22/7.  We went through several examples together before the students got started on their homework.

We have a quiz up through section 11-5 on Friday.


Assignment:  section 11-5;  page 448-449;  WE  #1-12, 15, 16

Algebra 10-12 assignment; 4/8

We continued working with functions today, focusing on the how to determine the boundaries of functions from graphs and from equations.  We went through several examples of each before getting started on the homework.


Assignment:  Section 12-2;  page 546  #15-23 all;  + Function worksheet  #13-25

Geometry assignment; 4/7

We continued our work with regular polygons today by going over how to work with polygons with non-short cut angles.  The process was the same, yet the tool we needed to use was our trig ratios.  We went over a couple of problems together before getting started on the homework.


Assignment:  Regular polygons worksheet +  page 443,  WE  13, 15, 17

Algebra 10-12 assignment; 4/7

We continued our work with functions today with the topic of how to work with the graphs of functions.  We used a given function and domain to come up with a set of ordered pairs to construct a graph.  We then used the vertical line test to see if the graph was indeed a function.  After going over a few samples together, the students worked on their assignment for the remainder of the period.  


Assignment:  Evaluating functions worksheet +  page 592  #1-4 all, 11-14 all

Geometry assignment; 4/6

Welcome back from Spring Break!  We continued our study of the area of figures today by going over how to figure out the area of regular polygons.  We introduced the new terms of apothem and radius of polygons in our problems today.  We went over 3-4 problems together before getting started on the homework.


Assignment:  section 11-4;  page 443;  #1-12 all

Algebra 10-12 assignment; 4/6

Welcome back from Spring Break!  We started our next chapter today by working with relations and functions.  The terms we introduced included the range and domain of a function.  We also spent some time showing how functions are written and evaluated.  We went through several examples before getting started on the homework in class.


Assignment:  section 12-1;  page 539-540;  #1-14 all, 16, 18, 20