Geometry; 6/14 and 6/15

We turned in our review packets and took the 2nd semester final in class!


Have a great summer!

Honors Geometry; 6/14 and 6/15

We turned in our review packets and took the 2nd semester final in class!


Have a great summer!

Geometry; 6/13

We worked on the 3rd review packet for the final exam today.  Today's review focused on working with coordinate geometry and using the various area and volume formulas.


Assignment:  Final Exam Review Packet #3

Honors Geometry; 6/13

We went over our second review packet today and answered any questions that came up.  We then reviewed some concepts with circles together before getting to work on the last review packet before the final.  The answers to this review packet appear below.


Assignment:  Final Exam Review #3

Review Packet #3 answers

1.  J
2.  E
3.  B
4.  A
5.  G
6.  I
7.  H
8.  C
9.  D
10.  F
11.  arc CDA
12.  angle DAB
13.  100 degrees
14.  40 degrees
15.  75 degrees
16.  130
17.  8
18.  34
19.  6
20.  146
21.  40
22.  8
23.  70
24.  80
25.  30
26.  70
27.  25
28.  25
29.  120
30.  50
31.  x = 4
32.  x = 46

line equation problems

107.  y = 3/4 x - 10
108.  y = 7/3 x + 7
109.  y = 6x - 27
110.  y = 4/7 x - 13
111.  y = 7/5 x - 4
112.  (4, 4) is the intersection point
113.  (0, -4) is the intersection point

Geometry; 6/12

We went through day #2 of our review for final exams today by taking another look at trig ratios, circles, and trig ratio word problems.  We went over 4-5 together before the students then spent the bulk of the period working on the review packet.


Assignment:  Final Exam Review #2

Honors Geometry; 6/12

We continued to review for the final today by going over the first finals review packet together, answering any questions along the way.  The students then got started on their 2nd review packet for the final exam.


Assignment:  Finals Review #2

Geometry; 6/9

We spent time today going over what will be available to the students on the final exam, and also explaining how the review packets will work over the next 3 days.  We went over 3-4 review examples of similarity together today before getting started on the 1st review packet for the final.


Review:  Finals Review Packet #1

Honors Geometry; 6/9

We spent time today going over the materials that will be used on the final and explaining the finals review packets.  The students then got the first review packet and began working on it in class.

Assignment:  Finals Review Packet #1

Geometry; 6/8

Today was the chapter 13 test.....the last regular test of the year!  The students turned in their review sheets and entry tasks from chapter 13 to start the period.  The rest of the period was spent taking the chapter 13 test.


Assignment:  none;  extra credit puzzle

Honors Geometry; 6/8

We wrapped up our last topic on transformations today by taking a look at dilations of figures.  We went over the notation and also how to expand or contract a particular figure.  We went over a few drawings together and how to work with the scale factors that dilations involve.  The students then got started on their homework assignments towards the end of the period.


Assignment:  section 14-5;  page 596;  WE  #1-23

Geometry; 6/7

We spent a little more time today working on writing and graphing line equations.  The main emphasis was how to graph two equations on the same grid to determine a common solution for both lines.  This is the point of intersection and two lines are referred to as a system of linear equations.  We solved this system by graphing, and then we also reviewed how to solve it using algebra only.  This is not a new skill, as we have used it several times throughout the year.    The students then got started on their chapter 13 review sheet.


Assignment:  Chapter 13 Review Sheet


Review Sheet Answers

1.  5 radical 5
2.  (x - 5)2 + y2 = 121
3.  radius = 13;  (x + 2)2 +  + 4)2 = 169
4.  -11/2
5.  0
6.  (7, 2)
7.  (-2, -1/2)
8.  center (-2, 4);  radius = 7
9.  center (0 , -6);  radius = 3
10.  B = (-3, 9)
11.  graph on axes
12.  m = -1
13.  m = 1
14.  perpendicular lines due to slopes being opposite reciprocals
15.  both diagonals have the same midpoint;  (3/2,  1/2)
16.  a.  graph of vector on the axes
       b.  (7, -13)
       c.  radical 218 or 14.8
17.  (6, -2)
18.  (-27, 54)
19.  (-1, -5)
20.  graph of y = 2/3 x - 4
21.  horizontal line of y = -4
22.  y = -3/2 x + 4
23.  y = 5/6 x + 5
24.  y = 2x - 1;   slope was calculated to be m = 2
25.  y = -3/2 x - 2
26.  y = 1/2 x + 7
27.  coordinates used for rectangle were (0, 0);  (6, 0);  (0, 4);  (6, 4)
         distance formula used for each diagonal;  length of each diagonal was radical 52

Honors Geometry; 6/7

Our study of transformations today took us to rotations.  We went over how to understand the notation involved with rotations, and how to determine the new coordinates using some shortcut rules from our demonstrations.  We looked at a number of different diagrams with rotation examples together before getting started on the assignment.

Assignment:  section 14-4;  page 590-591;  WE  #1-30, 34

Geometry; 6/6

We continued our work with coordinate geometry today by taking a look at how to write linear equations from the different information that is provided.  We went over how to write slope-intercept form, standard form, and point-slope forms of lines.  These three can be converted from one into another with a few simple algebra steps.  We then went over 4-5 examples of how to write different linear equations.

Assignment:  section 13-7;  page 555;  WE #1-28 all

Honors Geometry; 6/6

The transformation that we studied in our lesson today was a translation, followed by a glide reflection.  We went over how vectors are used in this particular change, and how the changes can be mapped into a double image when one is performed right after the other.    We went over a few sample problems together before the students got started on their assignment.


Assignment:  section 14-3;  page 585;  CE #1-7;  page 586-587;  WE #1-15 all

Geometry; 6/5

Today's lesson focused on the algebra topic of how to graph lines.  We worked on 2-3 different types of line equations in order to do this, and reviewed the concepts of slope and y-intercepts with the students.  We went over several examples together before getting started on the assignment.


Assignment:  Graphing Lines worksheet

Honors Geometry; 6/5

We have started our last unit of study in geometry this year!  We will spend the next 5 days going over what transformations are and how each one can be performed on the coordinate axes.  We introduced several new vocab words today, as well as 4 reflection rules that can be used when working with transformations.  We went through several examples together before getting started on the assignment.


Assignment:  section 14-2;  page 579;  CE #1-12;  page 580-582;  WE #1-15, 30-35

Geometry; 6/2

We continued our work with coordinate geometry today by taking a look at how midpoints are used to prove various facts about figures that are graphed.  We went over how to determine the midpoint of a segment, and then to use this midpoint formula to prove that diagonals bisect in a variety of figures.  We went over 2-3 examples of this together before getting started on the assignment.

Assignment:  circle worksheet +  section 13-5;  page 545-546;  WE #1-12 all, 15, 18

Honors Geometry; 6/2

Today was the test on chapter 13.  We turned in our reviews and entry tasks at the beginning of the period and then the students had the rest of the time to complete the test.


Assignment:  none;  extra credit puzzle option

Geometry; 6/1

Our lesson today focused on how to work with vectors.  This is largely a physics and engineering topic, yet it has some strong geometry connections.  We went over what a vector is and how to determine it from a graph.  We also showed how to add and multiply vectors, determine their slope, and determine the magnitude.  The students then got started on their assignment towards the end of the period.


Assignment:  section 13-4;  page 541-542;  WE #1-25 all

Honors Geometry; 6/1

We wrapped up chapter 13 today by reviewing another coordinate geometry proof.  We also reviewed the various formulas and line equations that are necessary for the test tomorrow, as well as working through a couple of review problems involving line conversions.  The students spent the rest of the period working on their review assignment.

Chapter 13 Test tomorrow


Assignment:  Chapter 13 review sheet


Review Sheet Answers

1.  point on graph
2.  point on graph
3.  point on graph
4.  point on graph
5.  quadrant III
6.  x- axis
7.  5 radical 2
8.  (x + 2)2 + y2 = 49
9.  undefined
10.  (-5, -12)
11.  13
12.  opp. sides are congruent and parallel;  vertical sides;  slope = undefined, length = 7
13.  3 radical 5
14.  (-1.5, 1)
15.  (-6, -8)
16.  2
17.  a.   (-4, -1)     b.  10
18.  (x - 1)2 + (y - 5)2 = 1
19.  (a + 1, b)
20.  a.  3/5       b.  -5/3
21.  (4, 17)
22.  y = -5/8 x  -  39/4
23.  y = 4x - 3
24.  y = -5x + 2
25.  (1, 3)
26.  a.  ( b, radical a2 + b2)    b.  (a + b,  radical a2 + b2)
27.  triangle coordinates:  (0, 0),  (2a, 0),  (a, b)
          find the midpoints and then determine the length of the midsegment.  Find the length of the base and compare it to the length of the midsegment.  Use the distance formula.

Geometry; 5/31

We continued our work with coordinate geometry today by taking a look at how slope relates to parallel and perpendicular lines.  We reviewed the algebra concepts that parallel lines have the same slopes and perpendicular lines have slopes that are opposite reciprocals.  These facts were then used to work with various geometric figures to confirm parallel sides or perpendicular diagonals, etc.  The students then got started on their homework.


Assignment:  section 13-3;  page 536;  CE #1-9;  page 537;  WE #1-6, 9-11, 13