Geometry; 4/29

We continued working with coordinate geometry and slope today, going over how to determine if lines are parallel or perpendicular.  We went over some mental math exercises to practice this, and then looked at a couple of figures as well.  The students then got started on their assignment.

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

Honors Geometry; 4/29

We continued our work with transformations today by going over how to perform translations and glide reflections.  We demonstrated how translations are really just movements with a vector, and showed a couple of different examples of how to do this.  The students then got started on their assignment.


Assignment:  section 14-3;  page 586-587;  WE  #1-16

Geometry; 4/28

We continued our study of coordinate geometry today by reviewing the concept of slope together.  This is entirely an algebra topic, so hopefully today was all review from what students have learned before.  We went over the 4 types of slopes and how to calculate slopes using two different points.  We also went over how to use the concept of slope to show that points are on the same line.  Graphing segments to check their slope was also reviewed.  The students then got started on their assignment.


Assignment:  section 13-2;  page 532-533;  WE  #1-24 all

Honors Geometry; 4/28

We continued our work with transformations today by taking a look at reflections and how to work with them.  We went over 4 quick rules of reflection that you can use on all figures, and then we worked through a few examples together.  The students then spent the rest of the time on the homework assignment.


Assignment:  section 14-2;  page 579;  CE #1-12;  page 580-582;  WE  #1-16;  30-37

Geometry; 4/27

We continued our work with the distance formula today by taking a look at how to use it with a variety of different figures.  Circles, rectangles, lines, and triangles are all figures that can be proven by using the distance formula.  We went over 3-4 examples together before getting started on the assignment.

Assignment:  section 13-1;  page 526-527;  WE  9, 12, 14, 16-25, 27, 28, 31, 35, 36

Honors Geometry; 4/27

We began chapter 14 today that deals with transformations in geometry.  The main part of the lesson was spent introducing some new vocab words:  image, preimage, isometry, mapping, function.  All of these were demonstrated by a few examples before the students got started on their assignment.

Assignment:  section 14-1;  page 574;  CE  #1-5;  page 574-575;  WE  #1-12

Geometry; 4/26

We started our next unit today in coordinate geometry.  The lesson today focused on how to use the distance formula in working with segments and circles.  We did several examples together, and also went through how to use the equation for a circle.  The students then got started on their homework assignment.

Assignment:  distance formula worksheet #1-23 odd   +   page 525-526;  CE  #1-9, 11, 12

Honors Geometry; 4/26

After turning in the chapter 13 review assignment, the students took the rest of the period to take the chapter 13 test.

Assignment:  extra credit option

Geometry; 4/25

The students turned in their chapter 12 review sheet today before taking the chapter 12 test in class.  The test took most of the period, and students could work on an extra credit logic puzzle after they finished.


Assignment:  extra credit puzzle

Honors Geometry; 4/25

Happy Monday!  We spent today in class getting more ready for tomorrow's chapter 13 test.  We went over the review sheet from Friday and answered any questions that students had.  We then went over a few sample test questions together before getting started on the 2nd review sheet.  The answers to the review sheet are posted below.

Assignment:  Chapter 13 Review #2

1.  pt on graph
2.  pt. on graph
3.  pt. on graph
4.  pt. 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.  show that AB is congruent to CD;  both have length = 7
       show that AB is parallel to CD;  both have undefined slope
13.  3 radical 5
14.  (-3/2 , 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 a squared - b squared)
        b.   (a + b, radical a squared - b squared)
27.  Draw triangle with points (0, 0),  (2a, 0) on x-axis;  (2b, 2c)
           Midpoints of sides are (b,c) and (a + b, c)

       b.  prove that the distance between the two midpoints is = a;
             distance of base of triangle on x-axis = 2a
             midsegment = 1/2 length of base

Geometry; 4/22

We went over a few more review problems together in getting ready for the chapter 12 test on Monday.  The remainder of the period was spent working on the review assignment for chapter 12.

Assignment:  Chapter 12 review #1-8 + page 518;  #7-12

Test 48 answers

1.  a.  144 pi       b.  288 pi
2.  a.  9 pi           b.  9/2 pi
3.  3
4.  32/3 pi
5.  7 pi
6.  a.  4        b.  8
7.  yes
8.  a.  1:3      b.  1:9       c.  1:3          d.  1:27


page 518;  Chapter review problems;  # 7-12

7.  900;  1020;  17
8.  8;  2400
9.  24 pi;  56 pi
10.  60 pi;  96 pi;  96 pi
11.  2 radical 10
12.  the volume is doubled

Honors Geometry; 4/22

We went over the homework questions from coordinate proofs today in class together.  During the rest of the time the students spent working on the review sheet for chapter 13.

Assignment:  Chapter 13 review sheet #1

Geometry; 4/21

Today's lesson focused on how to work with similar objects and calculate the ratios between them.  We took a look at several different shapes and found ratios between areas, volumes, and various dimensions.  The students then got started on their assignment.


Assignment:  section 12-5;  page 510;  CE  6-11;   page 511;  WE  #1-8, 10, 11

Honors Geometry; 4/21

We continued working with coordinate proofs today, going over how to make a proof with number values and just variables.  We went over 3-4 together before the students got started on their assignment.

Assignment:  Coordinate proof worksheet  #1-4   +  page 562;  WE 1-4, 7

Geometry; 4/20

We introduced the final solid object that we will be studying today by going over spheres.  We took a look at how to find both the volume and surface area of spheres.  We also saw how the calculations look different with hemispheres.  There are several different applications of spheres that we took a look at, and specifically calculated the circles of intersection when planes intersect spheres.


Assignment:  section 12-4;  page 500-501;  WE  #1-19 all

Honors Geometry; 4/20

We continued our work with coordinate geometry today by taking a look at how to organize coordinate proofs.  We went over several shapes and how to arrange them on the coordinate axes so that working with them in proofs would provide the easiest setup.  Most of what we worked on today was mental math and setting up coordinates.  We will work more with actual number proofs more tomorrow.

Assignment:  section 13-8;  page 558-559;  CE  1-6;  WE  1-8,10

Geometry; 4/19

We went over the review sheet quickly together before taking the chapter 12 quiz in class.  The students had the period to work on the quiz.

Assignment:  extra credit puzzle option

Honors Geometry; 4/19

We continued our work with linear equations today by introducing the third form of the line equation:  the point slope form.  We went over several different examples of how to use the point slope form in figuring out problems with lines.  We also went over how to convert from one type of line equation to another.

Assignment:  page 555-556;  section 13-7;  WE  1-34;  skip the multiples of 3

Geometry; 4/18

We went over a quick lesson on how to work with cones today before getting started on the lesson that dealt with how to calculate cone problems.  We went over the needed formulas and then did three examples together.  The students then got started on their assignment and reviewed for the quiz tomorrow on their own.

Assignment:  review worksheet #1-10 + page 493;  WE  9-16 all

Chapter 12 quiz tomorrow


Review Sheet Answers

1.  pentagonal
2.  face ;  lateral face
3.  base
4.  lateral edge
5.  height
6.  square
7.  base edge
8.  lateral edge
9.  height
10.  slant height
11.  a.  96      b.  108      c.  48
12.  a.  10      b.  2 radical 34     c.  240     d.  384
13.  a.  36 pi     b.  54 pi       c.  54 pi
14.  a.  13         b.  65 pi       c.  90 pi          d.  100 pi

Honors Geometry; 4/18

We went over the chapter 13 quiz today in class before getting started on today's lesson.  The topic today focused on how to work with linear equations.  We reviewed both the slope intercept form and the standard form of lines.  Both of these concepts are review ones from algebra, yet they also apply to our current study.  We also graphed two lines at once to determine their point of intersection.  We reviewed how to do this using only algebra as well by using a system of equations and eliminating one of the variables.

Assignment:  section 13-6;  page 550-551;  WE  1-34;  skip multiples of 3

Honors Geometry; 4/15

We turned in our chapter 13 quiz reviews at the beginning of the period.  The students then spent the remaining time in the period taking the chapter 13 quiz.


Assignment:  none

Geometry; 4/14

We continued our work with pyramids today by taking a look at what a lateral edge is and how to solve pyramids problems using it.  We also went over a few more types of problems that involved working with the formulas that we have written down the past couple of days.

Assignment:  section 12-2;  page 485;  WE  1-16 all;  skip #6

Honors Geometry; 4/14

We spent some time reviewing for our chapter 13 quiz today by going over a few more problems on vectors, midpoints, and using coordinates to prove various figures.  The students then spent the majority of the period working on their review sheet.


Assignment:  Chapter 13 review sheet

Chapter 13 Quiz tomorrow in class


Test 52 Answer key

1.  a.  2 radical 5    b.  1/2     c.  5, 1
2.  a.  radical 61     b.  -5/6    c.  (-2, -7.5)
3.  a.  16      b.  undefined     c.  (4, 0)
4.  a.  radical 26       b.  -1/5       c.  (3.7, 5.2)
5.  (x - 4)2 + (y - 5)2 = 121
6.  (7, -2);  2
7.  perpendicular
8.  vector
9.  equals
10.  e + g / 2  ,  f + h / 2
11.  ( 9, 8)
12.  ( 5, -5)
13.  5 radical 2
14.  (-15, 15)
15.  graph of vector
16.  a.  (3, 4)     b.  graph of sum of vectors
17.   a.  both slopes = -2/7
        b.  perpendicular slopes are 7/2 and -2/7
18.  same midpoint for AC and OB;  (2, 2.5)
19.  midpoint of AB = (8, -4)
       slope of AB = 4/1;    slope of PM = -1/4;  perpendicular slopes


Test 51 answer key

1.  undefined
2.  0
3.  negative
4.  1/2
5.  1
6.  a.  3/5;       b. radical 34
7.  a.  -1           b.  4 radical 2
8.  a.  -5/2        b.  2 radical 29
9.  a.  0             b.  7
10.   x2 +  + 3)2 = 36
11.  (x - u)2 +  (y - v)2 = a2
12.  a.  2          b.  (0, 0)
13.  a.  1/2       b.  ( 2, -2.5)
14.  graph of circle with center at (-2, 1) with a radius of 3;  circle is shaded in
15.  line graph on axes
16.  a.  -2/3         b.  -2/3         c.  3/2
17.  a.  -1            b.  -1            c.  1
18.  2 radical 13
19.      a.    slope of AB = 1;  slope of BC = 1;  slope of AC = 1
           b.  Graph points to show that B is between A and C;  can use distance formula as well to verify
20.  a.  all 4 sides have length radical 10
       b.  slope of GA = 1;   slope of RM = -1  ;  perpendicular slopes

Geometry; 4/13

We continued our work with solid objects today by taking a look at how pyramids are put together.  The new term that we ran into was the slant height of the pyramid, and we learned how to calculate it for each face of the pyramid.  We added some new formulas to our notecard before getting started on the homework assignment.


Assignment:  Pyramid worksheet;  #4, 5, 6, 7, 9-12

Honors Geometry; 4/13

Our lesson today focused on working with the midpoint of segments.  We went through how to use the midpoint formula to determine both the midpoints and endpoints of segments.  We also spent time showing how the midpoint formula can be used to prove various shapes.  The students then got started on their assignment.


Assignment:  section 13-5;  page 545-546;  WE  1-20;  skip #13, 19

Geometry; 4/12

We continued working with prisms today by taking a look at prisms with additional types of bases.  We reviewed some area formulas and then showed how to determine the various values for the prisms that we introduced yesterday.  We worked two more problems together before getting started on the assignment.


Assignment:  Prisms worksheet;  #1-14;  skip 1, 3, 6, 8

Honors Geometry; 4/12

Our topic today involved vectors and how they are used in coordinate geometry.  We talked about the notation used for vectors, as well as how to determine the magnitude and direction of vectors.  After several example problems, the students got started on their assignment.

Assignment:  Section 13-4;  page 541-542;  WE  1-9 odd, 10-29 all

Geometry; 4/11

Welcome back from Spring Break!  We started chapter 12 today after getting back our chapter 11 test in class today.  Today's topic involved how to determine the lateral area, total area, and volume of prisms.  We also practiced drawing prisms from a description and then used the numbers to determine the correct variables.

Assignment:  section 12-1;  page 478;  WE  #1-17 all

Honors Geometry; 4/11

Welcome to the 4th Quarter!  We got back from Spring Break today and started the dash toward the finish line that is the final quarter.  We started off by reviewing the concepts of slope, distance formula, and equations of circles together before getting into the new lesson for today.  Today's topic dealt with the slopes of parallel and perpendicular lines.  Lines that are parallel have the same slope, while lines that are perpendicular have slopes whose product is -1  (negative reciprocals is another term that is often used).  We went through 4-5 practice problems together before getting started on the homework assignment.


Assignment:  section 13-3;  page 537-538;  WE  #1-20 all  (skip #12)

Geometry; 4/1

Happy April Fools Day!    We went over our homework from last night and answered any questions that came up.  We spent the rest of the shortened period working on our logic skills by playing checkers!    Have a great Spring Break!


Assignment:  none

Honors Geometry; 4/1

Happy April Fools Day!    We went over our homework from last night and answered any questions that came up.  We spent the rest of the shortened period working on our logic skills by playing checkers!    Have a great Spring Break!


Assignment:  none