Geometry assignment; 10/31

We spent a little time continuing to work with isosceles triangles today.  We focused on how to do various calculations with these type of triangles.  We then took our 3rd proof check quiz at the end of the period.  When the students finished the quiz, they got started on their assignment for the weekend.


Assignment:  Isosceles Triangle Calculations worksheet

Algebra 10-12 assignment; 10/31

We reviewed a couple of word problems together before taking our last quiz on Chapter 3 today.  We will have the test on chapter 3 early next week.  When the students finished their quiz, they got started on their homework assignment.


Assignment:  percent problems worksheet   #2-24 evens

Geometry assignment; 10/30

We worked on adding to our knowledge of congruent triangles today by going through a lesson on isosceles triangles and the various properties about them that can be proved using CPCTC proofs.  The students also took their second proof check quiz before getting started on their homework.


Assignment:  Self-Test 1;  page 132-133;  #1-7 all

Algebra 10-12 assignment; 10/30

We continued working on percentage problems today, focusing on how to work various types of word problems involving percentage.  We went over several examples together before getting started on the homework.

Assignment:  Percent word problems worksheet + page 156  #37-43 all

Geometry assignment; 10/29

We worked through a couple more CPCTC proofs today before taking a triangle proof check quiz in class.  This is the first of 3-4 short quizzes that we will take over the next few days to practice on triangle proofs.  After the quiz, the students got started on a CPCTC worksheet in class.


Assignment:  CPCTC worksheet   (first example, 1-4, 6)

Algebra 10-12 assignment; 10/29

Today's topic involved working with percent calculations in a variety of problem types.  We used the percent ratio and the tool of cross multiplication to solve several percent problems together before getting started on our assignment.


Assignment:  section 3-10;  page 156;  #2-20 evens, 21-36 all

Geometry assignment; 10/28

We continued working with triangle proofs today by using the concept of corresponding parts of congruent triangles in proofs.  We went through 3 together before the students then practiced one on their own and got started on their homework.


Assignment:  Congruent Triangles worksheet + page 130 # 1-3,  WE

Algebra 10-12 assignment; 10/28

The topic today involved working with word problems that involved proportions.  In each case, we worked to set up proportions before then using cross multiplication to solve them.  After doing several examples together, the students got started on their homework assignment.


Assignment:  Proportions word problems worksheet;  #1-21 all

Geometry assignment; 10/27

We continued our work with congruent triangles today.  The focus of today's lesson involved taking a look at some of the postulates that one can use to prove that triangles are congruent.  The three that we went through today were the SSS, ASA, and SAS postulates for congruent triangles.  We did several examples together before the students got started on their homework.


Assignment:  section 4-2;  page 124-126;  WE  #1-17 all

Algebra 10-12 assignment; 10/27

Today we continued to work with equations that involve proportions.  The problems that we worked on today were a step up in complexity from the proportion problems that we first explained last week.  The key step today involved using the distributive property to clear any and all parentheses that might be in the proportion to start with.  The students they got started with their homework at the end of the period.


Assignment:  Solving Proportions worksheet #2;  #1-20 all

Geometry assignment; 10/24

We started the next chapter today:  chapter 4 on congruent triangles.

We went over several initial examples of how to identify congruent triangles and label the corresponding parts.


Assignment:  section 4-1;  page 120;  #1-16 all

Algebra 10-12 assignment; 10/24

We reviewed with our entry task and homework together before taking our quiz over sections 3.6 to 3.9 from Chapter 3.  The students took the rest of the period to take the quiz.  Once they finished, they could work on their assignment for the weekend.


Assignment:  proportions worksheet;  2-20 evens

Geometry assignment; 10/23

We turned in the chapter 3 review packet today before taking the chapter 3 test.  The students took the entire period to take the test.

Assignment:  extra credit polygon worksheet

Algebra 10-12 assignment; 10/23

The equation topic today focused on how to solve problems with ratios and proportions.  We went over several examples together and worked on the technique of cross multiplying to solve these types of equations.  We also showed some how to do some foundational word problems using proportions.


Assignment:  section 3-9;  page 150;  #1-23 odd, 25-30 all

Geometry assignment; 10/22

We worked through 4 different review examples today before starting on the chapter 3 review packet.  The students then spent the last half of the period finishing the review packet and preparing for the test tomorrow.

Assignment:  Chapter 3 review packet


Chapter 3 review packet answers

Properties of Parallel Lines page

3.  alternate interior
4.  corresponding
5.  same-side interior
6.  none of these
7.  angles 1, 13, 15
8.  angles 2, 4, 6
9.  angles 1, 3, 5, 7, 11, 13, 15
10.  angles  2, 4, 6, 8, 10, 12, 14, 16
11.  angle 11 = 55;  angle 15 = 55
12.  angle 4 = y;  angle 3 = 180 - y
13.  x = 70;  y = 90
14.  x = 15;  y = 40


Inductive and Deductive Reasoning Page

1.  Inductive reasoning;  based on a repeated pattern of experiences
2.  Deductive reasoning;  based on a single fact that her father told her earlier
3.  Deductive reasoning;  based on a single fact that the teacher had stated about showing no work
4.  Inductive reasoning;  based on observation of paycheck patterns and early projects completed
5.  Inductive reasoning;  a pattern of different ties is observed and a conclusion is made as a result

6.  the next drawing in the pattern will have 5 rows of dots in a vertical column;  each row will have 4 dots.

7.  next number is 32;  the numbers double each time

8.  four triangles pointing up next to four triangles pointing down

Parallel Lines and Planes Page

1.  true
2.  true
3.  true
4.  angles 4, 5, and 8
5.  140
6.  x = 20
7.  x = 37
8.  if alt. interior 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.  ext. angle = 36;  int. angle = 144
14.  15-gon;  int. angle = 156
15.  next two numbers are -64 and 128

Polygon Drawing Problem:

x = 17

Algebra 10-12 assignment; 10/22

We worked with the absolute value function with equations today and showed that there are now two possibilities in getting answers.  The presence of the absolute value function will result in two values that are correct as solutions in each equation.  We also went over the type of problems that do not work with absolute value functions.  After going through several problems together, the students then got started on their homework.

Assignment:  section 3-8;  page 146-147;  #1-32 all, #71-78 all

Geometry assignment; 10/21

We started off the period with a warm up question that dealt with angles in polygons before then going over our homework.  The lesson today focused on inductive reasoning and how it differs from deductive reasoning.  We went over various number pattern problems and inductive reasoning examples before the students got started on their homework.


Assignment:  Section 3-6;  page 107-108;  WE #1-17 all

page 103;  CE # 8, 9

Algebra 10-12 assignment; 10/21

We worked with solving formulas for different variables today.  Each formula has 2-3 variables in it, and we went over several examples of how to isolate each individual variable depending on the question.  The students then got started on their homework for the last part of the period.


Assignment:  section 3-7;  page 143-144;  #1-22 all,  #43-52 all

Geometry assignment; 10/20

We continued our work with angle calculations today as we focused on polygons.  Working problems that involved both interior and exterior angles of polygons is what we did together and then got started on at the end of the period with the homework.


Assignment:  section 3-4;  page 103;  CE #1-6 all;  page 104;  WE #1-11 all  (skip #7)

Algebra 10-12 assignment; 10/20

We went over the next step in solving equations today which involved clearing decimals in equations.  We went through several examples together before getting started on the homework problems.

The students also got their quiz back from Friday.  The quiz corrections are due on Thursday.


Assignment:  Section 3-6;  page 140;  #19-24 all

                                            page 141;  #38-45 all

                                            page 166;  #34-36 all

Geometry assignment; 10/17

We went over our homework and our chapter 3 quiz before getting started on today's lesson.  The topic continued to deal with angles in triangles.  Today we identified what exterior angles and remote interior angles are in a triangles.  We did a few sample calculation problems together before the students got started on their assignment.


Assignment:  Remote exterior angles worksheet

Algebra 10-12 assignment; 10/17

We went over our homework and entry task today before taking our second quiz on chapter 3.  The quiz covered sections 3.1 to 3.6 on the chapter dealing with solving equations.

After the quiz, the students got started on their homework assignment


Assignmemt:  Clearing Fractions Equation worksheet  #1-10

Geometry assignment; 10/16

We started the next section today which deals with classifying and calculating with triangles.  There were several new vocab words as well as drawings that we went over together before getting started on the triangle packets in class.


Assignment:  Triangle Packets   (drawings and calculations)

Algebra 10-12 assignment; 10/16

Today's topic in dealing with equations was how to clear fractions.  We worked through several problems involving finding the common denominator first and then clearing the fraction in an equation.  The students then got started on their homework in class.


Assignment:  section 3-6;  page 140;  #1-14 all;   page 138;  #15-25 odd

Geometry assignment; 10/15

After going over the homework, we took the chapter 3 quiz in class today  (over sections 3-1 to 3-3).  After the quiz, the students got started on their homework.


Assignment:  page 89;   Self-Test 1;  #1-16 all

Algebra 10-12 assignment; 10/15

We continued our work with equations today by focusing on how to handle variables on both sides of the equation.  We did several problems together that also involved parentheses before getting started on the homework.  

Assignment:  section 3-5;  page 137-138;  #1-14 all,  16-26 evens

Geometry assignment; 10/14

We finished up the notes for section 3-3 today and practiced for the chapter 3 quiz tomorrow.  Working with short proofs, parallel line drawings and calculations, and using angle pairs to indicate parallel lines are all things we did one more time in preparation for the quiz.  The last part of the period found the students working on an angle properties review worksheet and getting started on their homework.


Assignment:  angle calculation worksheet +  section 3-3;  page 86,  CE #1-11 all;
                                                                                page 88,   WE  #20, 21

Algebra 10-12 assignment; 10/14

We continued working on word problems today as we did several examples together of both writing and solving equations based on a scenario described.  We did a few homework problems together before the students got started on the rest of their assignments individually.


Assignment:  page 165-166;  #1-26 all;    page 135;  #30-40 all

Geometry assignment; 10/13

We continued our work with parallel lines today by taking a look at the converses of the various angle pair theorems.  We worked through a couple of proofs together before practicing together on a diagram to identify which lines are parallel based on the angle pairs.  The students then got started on their homework at the end of the period.


Assignment:  section 3-3;  page 87;  written exercises #1-19 all

Algebra 10-12 assignment; 10/13

The students got back their quizzes today from last week.  Quiz corrections are due on Thursday on a separate sheet of paper.  We continued working with equations today by focusing on the topic of translating statements into expressions using various key words.  The students and I did several examples together before they got started on their homework assignment.


Assignment:  Section 3-4;  page 133-134;  #1-12 all     +  2-step equations worksheet  #2-24 evens

Geometry assignment; 10/9

We continued our work with parallel lines and angle pairs today.  The three topics that we covered today included going over how to construct parallel lines using corresponding angles, one more parallel line proof, and then a calculation problem dealing with systems of equations and parallel lines.  The students then got started on their homework towards the end of the period.


Assignment:  Parallel Lines and angles worksheet + page 81-82  #14-16, 18, 19

Algebra 10-12 assignment; 10/9

We went over our homework, entry task, and check quiz from yesterday to begin the class period.  After answering any questions that the students had, I then passed out the chapter 3 quiz on equations.

The students then took the rest of the period to take the quiz.  Once they finished, they got started on an equation crossword puzzle as their assignment for Monday.


Assignment:  Equation crossword puzzle

Geometry assignment; 10/8

We continued working with parallel lines and different angle pairs.  Today's topic dealt with using the angle pair postulates and theorems for proofs and calculations.  We went over several sample problems together before the students got started on their homework assignment.


Assignment:  section 3-2;  page 80-81;  written exercises #1-13 all

Algebra 10-12 assignment; 10/8

We continued working with equations today by adding more multiple step equations to the set of skills we are developing.  We worked with integers, fractions, and the distributive property in solving equations that involve 2-4 steps in class.  We went over several examples together before starting on the assignment for the day.


Homework:  section 3-3;  page 127-129;  #2-38 evens, #62-72 all

Geometry assignment; 10/7

We began our study of chapter 3 today by looking at parallel lines and how a transversal creates several new categories of angle pairs to study.  The symbols for parallel lines and the names of the various angles pairs were introduced and practiced together before the students got started on their homework.


Assignment:  section 3-1;  page 75;  CE #1-19 all

Algebra 10-12 assignment; 10/7

We continued our work with solving equations today.  Using the multiplication property of equality, the students saw how to handle multiplication, division, and working with fractions as they solve equations.  We went through several examples together before getting started on the assignment.

Assignment:  Section 3-2;  page 122-124;  #1-35 all;  #56-72 evens

Geometry assignment; 10/6

I was gone at a conference today so the kids had some work to do in class today with the substitute.  They worked on two main assignments.  The first dealt with a review of angle pairs and how to calculate the values of angles from diagrams.  The second dealt with systems of equations.


Assignment:  finish up systems of equations worksheet

Algebra 10-12 assignment; 10/6

I was gone today to a conference, so a substitute teacher led the students through their lesson today.  They had two tasks to work on.  The first was a review worksheet that dealt with factoring and the distributive property.  Once they were finished with that, then they got started on the second worksheet that dealt with solving one-step equations.

Homework:  One-step equations worksheet

Geometry assignment; 10/3

We did some algebra review today in looking at systems of equations.  We went through a couple of examples in solving by substitution and solving by elimination.  The students then got started on their homework.  We will be using these skills in the upcoming chapter, so it is good to review and strengthen them before beginning.


Assignment:  Algebra Review;  page 69;  #1-18 all

Algebra 10-12 assignment; 10/3

We started a new chapter today on Equations.  We will be working with equations for the next 3 chapters, so as we build the foundation of skills, it will be important for the students to master each one.  The first topic that we covered today was using the addition property of equality in solving equations.  We went over several examples together before getting started on the assignment.


Assignment:  Section 3-1;  page 116-117;  #2-36 even,  #37-40 all,  #61-69 all

Geometry assignment; 10/2

After turning in the chapter 2 review packet, the students then took the Chapter 2 test today in class.

Once they finished, they had the opportunity to work on an extra credit assignment.


Assignment:  none;  extra credit possibility

Algebra 10-12 assignment; 10/2

We went over an entry task today for a final review of a few concepts before taking the the Chapter 2 Test.  After the entry task the students then took their Chapter 2 test.

After the test, the students then had a chance to work on an extra credit assignment until the end of the period.


Assignment:  Extra credit assignment on chapter 2

Geometry assignment; 10/1

We went over homework today and then reviewed a few concepts together before getting started on the chapter 2 review packet.  We went over one more geometric proof, an angle calculation problem, and some construction examples.  The students then got to work on their review packets.

Chapter 2 test is tomorrow in class.


Assignment:  Chapter 2 review packet

Answers posted below:  

Deductive Reasoning Worksheet

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

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

      2.        90 degrees

      3.       22 degrees

      4.       53 degrees

      5.       mÐDFE

      6.        angle bisector theorem

      7.       Midpoint theorem

      8.       Multiplication property of equality

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

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

     11.   Proof steps

1.       Given

2.       Vertical angles are congruent

3.       Transitive property

Algebra Proof Steps

1.  (2x + 8) / 5 = x - 2                                Given

2.  2x + 8 = 5(x - 2)                                   Multiplication Prop. =

3.  2x + 8 = 5x - 10                                    Distributive Prop.

4.  8 = 3x - 10                                            Subtraction Prop. =

5.  18 = 3x                                                 Addition Prop. =

6.  6 = x                                                     Division Prop. =

Intersecting Line Proof

1.  Given

2.  Addition Prop. =

3  Segment Addition Post.

4.  Transitive

Midpoint of Segment Proof

1.  Given

2.  Def. of Midpoint

3.  Def. of Congruence

4.  Segment Addition Postulate

5.  Substitution

6.  Simplify

7.  Division Property =

8.  Substitution

Angle Addition Proof

1.  Given

2.  Angle Addition Postulate

3.  Substitution

4.  Angle Addition Postulate

5.  Transitive / substitution

Algebra 10-12 assignment; 10/1

After going over the entry task today, we spent time reviewing for the test tomorrow.  The review activity consisted of answering 29 questions that were spaced around the room.  At the end of the period, we then went over the answers to the problems.  Chapter 2 test is tomorrow.


Assignment:  none