Geometry assignment; 10/31

We went over our mini-quiz from yesterday before checking homework and continuing with the lesson.

The lesson today focused on how to use isosceles triangles in proofs and the various reasons that will come up as a result.

At the end of the period we took the second our our short proof quizzes and then started our homework.


Assignment:  Isosceles triangle calculations worksheet

Algebra 10-12 assignment; 10/31

We reviewed the ideas of graphing events again with an entry task and a short question.  We will take a quiz tomorrow on graphing events and interpreting graphs.

The lesson for today centered on using ordered pairs to determine the difference between relations and functions.  We went over some notes together in class and then got started on a homework worksheet.

Assignment:  Function/Relations worksheet   (1st page front and back only)

Remember to study your notes for the graphing events quiz tomorrow.

Geometry assignment; 10/30

We went over our CPCTC proofs homework in class today before taking some notes on isosceles triangles and the shortcuts that are found in working with them.  The students then took a 1-question proof quiz before starting their homework.


Assignment:  Section 4-4;  p. 137  #1-9 all;  note packet problems #1-5

Algebra 10-12 assignment; 10/30

We continued to go over how to interpret graphs and make graphs for various events.  We went over three examples in class and then the students starting working on their own assignment of drawing and explaining the graphs of two separate events.

Assignment:  Draw and label two separate events on a labeled axes.

Directions appear below.

Relating Graphs to Events Assignment

Your task is to create two graphs of events and draw them.  There will be one graph on each side of the piece of paper you have been given.  For each graph, you need to label the axes, and most likely both of the graphs will involve time.  Here are the requirements for each graph.  You have freedom to choose the event that you would like to graph / describe.

Necessary Items on Graph:

1.  Label the axes on the graph;  one of the graphs needs to be a speed vs. time graph.  The other graph can be some other measurement vs. time.

2.  Each graph need to have at least 7 sections on it.  (changes of direction in the line)

3.  Each section needs to be labeled with a number on the graph

4.  Somewhere on the graph, those numbers need to be explained in words as to what is happening during that section of the graph.

5.  The graph needs to have a title written at the top that indicates the event involved.

6.  The axes need to be neatly written with a ruler.  The axes need to include the entire area of the paper.

7.  The numbers on the graph and the written explanations need to be neatly written so that they can be easily read and understood.  

Geometry assignment; 10/29

We had a practice quiz entry task today with a short triangle congruence proof.  We then went over a few more examples of how to use CPCTC with congruent triangles in order to solve for other things.  We then started our homework in class working with more CPCTC proofs.


Assignment:  CPCTC worksheet  #1-4, 6;    section 4-3  p. 130 #1

Algebra 10-12 assignment; 10/29

We continued our work with graphing events today and then interpreting the shape of the graph.  The main topic today was how to interpret speed graphs.  After going over some notes, the students then began their homework in class.


Assignment:  Section 5-1 worksheet

Geometry assignment; 10/28

We went over our homework and worked through a sample proof together.

We then introduced the concept of using congruent triangles to solve other types of problems.  We went over a few of these problems together before starting the homework.


Assignment:  Section 4-3;  p. 129  #1, 2, 4, 5        Section 4-3 worksheet;  #1-3

Algebra 10-12 assignment; 10/28

We introduced the topic of interpreting graphs and graphing events without numbers.  We took some notes and did some practice problems in class before starting on our homework.

The homework involved an in-class worksheet as well as an assignment out of the book.

Assignment:  in-class worksheet  (checked in class);  section 5-1;  p. 254,  #1-10

Geometry assignment; 10/25

We got back our Chapter 3 test today and went over some homework.  After going through a couple of practice proofs together in class, the students were able to start their homework assignment.

Assignment:  Section 4-3 worksheet

Algebra 10-12 assignment; 10/25

We took our chapter 4 test on inequalities and absolute values today.

When the students finished their test, they could work on some extra credit equations to turn in on Monday.

Geometry assignment; 10/24

We introduced the topic of how to prove triangles congruent today.  The three postulates that we used were SSS, SAS, and ASA.

We then did some of the homework problems in class before the end of the period.

Assignment:  section 4-2;  p. 124-126;  #1-17 all

Algebra 10-12 assignment; 10/24

After going over our homework, we worked on a review sheet for tomorrow's test on Chapter 4.


Assignment:  Chapter 4 review sheet

Geometry assignment; 10/23

We spent some time reviewing angles today in class with a diagram of parallel lines and several angles that the students had to decipher.  We then introduced the topic of congruence in triangles through some notes and practice problems out of section 4-1.

Assignment:  section 4-1;  p. 120;  #1-14 all, 16

Algebra 10-12 assignment; 10/23

We went over inequalities that involve absolute value today.  We reviewed how absolute value equations worked, and then show how these are related to the inequalities that we are dealing with now.

Assignment:  section 4-6;  p. 238;  23-34 all;  40-45 all

Geometry assignment; 10/22

We took the chapter 3 test in class today.

No homework assignment given.

We will start with chapter 4 (congruent triangles) tomorrow.

Algebra 10-12 assignment; 10/22

We reviewed the topic of compound inequalities today by going over the "and" statements again in which the graphs overlap.  We then discussed the second portion of compound inequalities in which the graphs go in opposite directions -- the "or" statements.

The students then worked on their homework at the end of the period.

Assignment:  section 4-5;  p. 230,  #21-32

Algebra 10-12 assignment; 10-21

We went over our quiz together today before starting on the last portion of chapter 4.  We introduced the topic of compound inequalities today and worked specifically on ones that overlap on the number line.

Assignment:  section 4-5;  p. 230;  #5-14

Geometry assignment; 10-21

We spent time going over homework today and then practicing one final parallel line proof together.  The rest of the period was spent working on a review sheet together.  I've included the answers to the review sheet problems below.  The students only needed to do selected one, but I've included all the answers here for those students who may want to get in extra practice.

The chapter 3 test is tomorrow.

Assignment:  Chapter 3 review sheet


Properties of Parallel Lines    (page 12 of review packet)

1.  If 2 parallel planes are cut by a 3rd plane, the lines of intersection are parallel.
2.  If a transversal line is perpendicular to one of a pair of parallel lines, then it is perpendicular to the other one also.
3.  alternate interior
4.  corresponding
5.  same-side interior
6.  none of these
7.  angles 1 , 13, and 15
8.  angles 2, 4, and 6
9.  angles 1, 3, 5, 7, 11, 13, 15
10.  angles 2, 4, 6, 8, 10, 12, 14, 16
11.  angle 11 = 55 degrees;  angle 15 = 55 degrees
12.  angle 4 = y;   angle 3 = 180 - y
13.  x = 70;  y = 90
14.  x = 15;  y = 40

Proving Lines Parallel    (page 13 of review packet)

1.  segment GA parallel to segment EC
2.  segment GE parallel to segment AD
3.  segment GB parallel to segment ED
4.  none
5.  segment GB parallel to segment ED
6.  segment GB parallel to segment ED
7.  segment AD parallel to segment GE
8.  segment GB parallel to segment ED
9.  segment GE parallel to segment AD
10.  x = 9;  y = 22
11.  x = 21;  y = 17
12.          1.  given,   2.  def. of angle bisector,  3.  angle 1 is congruent to angle 2;  4.  transitive property
               5.  if alt. int. angles are congruent, then lines are parallel

3-5 Angles of a Polygon    (page 36 on review packet)

9.  50
10.  100
11.  90
12.  100
13.  60, 120
14.  90, 90
15.  120, 60
16.  144, 36
17.  156, 24
18.  6
19.  24
20.  3
21.  3
22.  18
23.  10


Parallel Lines and Planes  (page 16 of review packet)

1.  true
2.  true
3.  false
4.  angles 4, 5, and 8
5.  140 degrees
6.  x = 20
7.  x = 37
8.  if alt. int. angles are congruent, then lines are parallel
9.  if lines are parallel, then same-side interior angles are supplemental
10.  if corresponding angles are congruent, then lines are parallel
11.  x = 155;  y = 25
12.  x = 18;  y = 18
13.  exterior angle = 36;  interior angle = 144
14.  15-sides;  int. angle is 156 degrees
15.  -64,  128

Algebra 10-12 assignment; 10/18

We went over homework together and did a quick review entry task before taking the quiz on inequalities.  The quiz on inequalities took the rest of the period.  After the quiz, the students got started on their homework.

Assignment:  translating words to inequalities worksheet

Geometry assignment; 10/18

We spent today talking about the difference between inductive and deductive reasoning.  One uses patterns and experiences to make decisions (inductive) and the other is based on known / proven facts and theorems that are then to used to make conclusions (deductive).  We also took a look at number patterns and how they are observed in making inductive conclusions.

Assignment:  section 3-6 worksheet

Geometry assignment; 10/17

We went over the polygon angle calculations homework today in class before beginning a review of parallel line proofs.  We worked in groups to produce several proofs that involved parallel lines after going over a couple together at the beginning of the period.   The proofs were in-class work only, and we'll work on them again some on Monday.

Section 3-6 is tomorrow
Review day is on Monday
Chapter 3 Test will take place on Tuesday of next week;  Oct. 23

Assignment:  section 3-5 worksheet  (picked up in class)

Algebra 10-12 assignment; 10/17

We went over our check quiz today in class before beginning to work on inequality word problems.  Being able to translate the words into inequalities that we can solve is a skill that we will continue working on over the next several class days.

Assignment:  Inequalities worksheet  #1-10

Geometry assignment; 10/16

We introduced the topic of polygons today and the angle calculations that are involved with them.  We went over both interior and exterior angle sums in polygons, and used these calculations to determine the number of sides involved in each polygon.


Assignment:  Section 3-5;  p. 104;  #1-15 all  (skip 7, 11)

Algebra 10-12 assignment; 10/16

After going over our entry task and homework, we spent time today working on a partner worksheet dealing with inequalities.  Each person worked on a separate equation, but both equations had the same answer, so the students could check each others' work.  At the end of the period, we took a short check quiz on inequalities to prepare for our quiz on Friday.

Assignment:  inequalities partner worksheet

Algebra 10-12 assignment; 10-15

After our entry task and going over homework, we introduced the topic of multistep inequalities.  These are very similar to multistep equations that we have worked on before.  The main difference is to remember that the inequality needs to be reversed when dividing or multiplying with negative numbers.


Assignment:  section 4-4;  p. 222;  #1-35 odd;  skip #11

Geometry assignment; 10/15

We finished our notes on angles in triangles today by going over exterior angles and remote interior angles.  We also spent some time writing two column proofs together.

Assignment:  section 3-4;  p. 97;  #1-17 all

Algebra 10-12 assignment; 10/14

We went over the topic of solving inequalities by using either multiplication or division.  If negative numbers are used, then the inequality needs to be flipped in order to make the statement true.


Assignment:  Section 4-3;  p. 215;  #1-28 all

Geometry assignment; 10/14

We went over our quiz from last week in class today before starting the notes on triangles today.  We introduced various relationships about the angles in triangles and how triangles are classified.

Assignment:  Self test 1;  p. 89;  #1-16 all

Algebra 10-12 assignment; 10/10

We continued working on inequalities and their graphs today.  We went over how to do one-step inequalities, as well as graphing the answers when they involve whole numbers, decimals, and fractions.

We took a concept check quiz  (3 questions) at the end of the period on absolute value equations.

Homework:  section 4-2;  p. 208-209,  #1-25 all

Geometry assignment; 10/10

We spent time in class today going over a parallel line proof to start with to help review for the quiz.  We then went over our section 3-3 homework.  The rest of the time spent in class was dedicated to completing our chapter 3 quiz.

There was an extra credit logic puzzle that was available after the quiz that is due on Monday if you would like to get the extra credit.

No homework over the weekend.

Algebra 10-12 assignment; 10/9

We went over solving absolute value equations again both on the entry task and with the homework.  We then introduced the concept of inequalities  (greater than or less than).

We reviewed how to use the number line to graph inequalities and to test numbers to see if they are solutions.

Assignment:  Section 4-1;  page 202-203;  #2-14 even, 15-32 all

Geometry assignment; 10/9

We continued working on proving lines parallel today, going over a couple of different diagrams and identifying angles in them.  We also worked on a practice proof together.  About half the time was spent with angle calculation problems and using the numbers to prove that lines are parallel.

Here is the assignment for today:    Section 3-3;  p. 187, #1-17 all

Algebra 10-12 assignment; 10/8

We continued practicing with absolute value equations today, working on solving multi-step ones.  The key is to treat the absolute value symbol like a variable and get it by itself.  Once that is done, then two equations need to be written that can then be solved.

Assignment:  Absolute value equations WS #2   ;  #9-28 all

Geometry assignment; 10/8

We worked on proving lines parallel today, the converse of what we have been working on the past couple of days.  We also took a practice quiz together in partners today, as we will be having a quiz on Thursday in class.   We then started our homework, which is an angle pair identification worksheet.


Assignment:  angle pairs worksheet

Algebra 10-12 assignment; 10/7

We spent time in class today introducing our new unit:  absolute value equations and inequalities.

We worked on absolute value equations today and the steps involved in coming up with 2 different answers.  We also talked about set notation (brackets) in which the answers are written down in a different form.


assignment:  absolute value worksheet;  one side #1-12;  second side #1, 3, 5, 7, 9, 11, 15, 2

Geometry assignment; Oct. 7

We spent more time going over parallel lines and their angle pairs today.  We introduced calculations to the problems, as well as working with some elementary proofs involving parallel lines.

Assignment:  section 3-2;  page 80-81, written exercises  #1-14 all

Algebra 10-12 assignment; 10/3

We reviewed ratios and proportions today with an entry task and going over homework.  We then covered our final topic before the unit test tomorrow by talking about how proportions can be used to solve problems involving percents.  We spent time in class practicing the percent problems and checking our work before getting a review sheet with answers as homework.

Assignment:  percent problem worksheet in class;  review sheet with answers as homework


Test tomorrow on chapter 3:  Solving Equations

Geometry assignment; 10/3

Today we took the chapter 2 test in class.  No assignment was given.

Algebra 10-12 assignment; 10/2

We continued working on ratio and proportion problems today in class, setting up the ratios and solving for the unknowns.  We started a worksheet together in class that the students got some time to work on before the end of the period.

Assignment:  Finding Ratios worksheet;  side 1   #1-10 all;   side 2  #1-10 all


Test on Equations will be this Friday

Geometry assignment; 10/2

We spent time in class today reviewing for the test tomorrow.  Part of the review packet we did in class and corrected at the end of the period.  The other portion of the review guide is homework.  The answers appear below to that review guide.  We won't go over the review guide tomorrow in class, so it would be a good idea to read through the study guide and check your answers before coming tomorrow.

Test on Chapter 2 is tomorrow.

Chapter 2 Review Guide answers

Deductive Reasoning

11.        a.  they are right angles                                                                b.  vertical angles are supplementary

c.  If vertical angles are supplementary, then they are right angles

22.       90 degrees

33.      22 degrees

44.      53 degrees

55.      mÐDFE

66.       angle bisector theorem

77      Midpoint theorem

88.       Multiplication property of equality

99.       If 2 lines form congruent adjacent angles, then the lines are perpendicular

110.   If the exterior sides of 2 adjacent acute angles are perpendicular, then the angles are complementary

111.   Proof steps

1.       Given

2.       Vertical angles are congruent

3.       Transitive property

Algebra 10-12 assignment; 10/1

We spent time today talking about ratio and proportion problems, especially as they relate to word problems.  We used some color coding to set up and solve different proportions as the students worked on their word problem worksheet.

Assignment:  Proportions worksheet;  2-24 evens

Geometry Assignment; 10/1

We spent more time today in class going over sample proofs that dealt with vertical, complementary, and supplemental angles.  A review list of word definitions and theorems/postulates was also introduced as a possible study tool.  We will be working through a review packet tomorrow as we prepare for the chapter 2 test on Thursday.


Assignment:  section 2-6;  p. 63;  #1-15 all