Geometry assignment; 12/20

Today we went over the chapter 6 test in class during our shortened periods.  Have a great Christmas break!

Algebra 10-12 assignment; 12/20

Today we took a quiz on statistics during our shortened class period.

Assignment:  none

Geometry assignment; 12/19

Today we took the chapter 6 test on inequalities in geometry.  We will get it back and go over it tomorrow.

Assignment:  none

Algebra 10-12 assignment; 12/19

Today's topic was box and whisker plots.  These plots are a way of looking at the overall variance of data  (how spread out a set of data is).  The box and whisker uses the median of sets of data and also introduces the concept of quartiles.

Assignment:  box and whisker worksheet

Geometry assignment; 12/18

We wrapped up our study of chapter 6 today by going over the process of writing triangle inequality proofs using the Hinge Theorems.  Being able to identify the SAS and SSS Inequality theorems from diagrams and use information in writing proofs is what we demonstrated several times today before spending some time in class working on a review exercise.  The last part of the period we also reviewed how to write indirect proofs.

Assignment:  Section 6-4/6-5 review sheet;  page 231 #3-8 all

The answers to the homework questions appear below.

We will take a few questions tomorrow before starting the test.

Chapter 6-4 / 6-5 Review Sheet answers

1.  angle B, angle A, angle C

2.  segment FE, segment DE, segment DF

3.  no

4.  yes

5.  no

6.  11 ;  41

7.  may be

8.  cannot be

9.  must be

10.  segment AB

11.  segment DG

12.  segment HK

13.  angle 1

14.  angle 1

15.  angle 1

16.  D;  B

17.  AB

18.  CA;  CB

19.  segment DC

Page 231    #3-8  answers

3.  XY > XZ  ;  XW > 12

4.  AD < CE

5.  angle 1 < angle 2;  angle 3 > angle 4

6.  angle 5 < angle 6

7.  a < b

8.  c < 10

Algebra 10-12 assignment; 12/18

We went over our homework and then introduced the topics of line plots and stem and leaf plots.  We demonstrated how to create both types of plots and then how to interpret them to obtain the mean, median, and mode of various data sets.  We then spent some time working on the assignment in class.

Assignment:  Stem and Leaf plots worksheet

Geometry assignment; 12/17

We introduced the concept of working with inequalities involving two triangles.  These theorems are called the Hinge theorems, and they take two forms  (SAS and SSS inequality)

We went through a demonstration with meter sticks in class and several diagram examples before spending some time in class working on the assignment.

Assignment:  Hinge Theorem worksheet

Algebra 10-12 assignment; 12/17

Today we worked on problem solving skills using the statistics concepts that we introduced yesterday.  These word problems involve interpreting the information given and then using equations to solve problems with the mean, median, and mode of data sets.

Assignment:  Chapter 1-6 practice worksheet;  #1-13 all

Geometry Assignment; 12/16

We went over our chapter 6 quiz today in class and then began work on the last couple sections of the chapter.  Today we went over triangle inequalities and how the angles and sides can be compared in each triangle.  The students started their homework before we left for the day.


Assignment:  triangle inequality worksheet

Algebra 10-12 assignment; 12/16

We introduced the first topics in our mini-unit on statistics this week.  We reviewed what a mean, median, mode, and range are for sets of data and then spent some time working on the homework in class.

We will be studying 4-5 topics on statistics this week and then taking a quiz on them during the short class period on Friday.

Assignment:  Mean, Median, Mode, and Range worksheet

Geometry assignment; 12/13

We went over our homework today  (indirect proofs worksheet) first before taking a short quiz on the first three sections of chapter 6.  After the quiz, the students got started on a review assignment that they have for homework.

Assignment:  Chapter 1-5 review;  page 200;  #1-17 all

Algebra 10-12 assignment; 12/13

After going over our entry task today, we passed out the test on linear equations.  We spent the period taking the test.  There was an extra credit equations worksheet available for students to work on after the test.


Assignment:  extra credit worksheet  (optional)

Geometry assignment; 12/11

We introduced the concept of indirect proofs today and went over the 4-step process of solving these types of proofs.  We worked through several examples in the note packet before starting our assignment out of the book.

Assignment:  2 note packet problems;  pg. 216  #1-5, 7-9

Algebra 10-12 assignment; 12/11

We introduced the concept of how parallel and perpendicular lines are related to the slope.  We went over several problems together before starting on the homework in class.

Assignment:  parallel and perpendicular line worksheet

Geometry assignment ; 12/12

We spent some time at the beginning of class reviewing some concepts for the quiz tomorrow.  We then continued working on indirect proofs both together and then individually.

Assignment:  indirect proofs worksheet

Algebra 10-12 assignment; 12/12

We worked on a review sheet for the linear equation unit test.  The test will be tomorrow.

Assignment:  finishing review sheet and correct it with answer key provided

Geometry assignment; 12/10

We introduced the concept of inequalities in geometry today by going over several diagrams and short inequality proofs.  We will continue working on these inequality proofs over the next few days.

Assignment:  section 6-1;  page 205    #17-19  ;   page 206-207   #1-8 all

Algebra 10-12 assignment; 12/10

We spent some more time on working word problems from tables and writing a point - slope equation for the data.  We also worked on graphing point-slope equations.

Assignment:  section 6-5;  page 339;  #1-9 all, 31, 33, 35-39 all

Geometry assignment; 12/9

We went over our chapter 5 test in class today.  We then began Chapter 6 and talked about inequalities in geometry.  The first section was a review of conditional statements from earlier in the year, dealing with inverses and contrapositives.

Assignment:  section 6-2;  page 210-211;  #1-12 all ;  page 212  #1-9 all

Algebra 10-12 assignment; 12/9

We went over section 6-5 today and dealt with writing a line equation from a set of data.  These problems will work into word problems as the week goes on.

Assignment:  section 6-5 worksheet;  #1-14 all;  29-35 odd

Geometry assignment; 12/6

Test today in class over Chapter 5  (Parallelograms)

Homework:  none

Algebra 10-12 assignment; 12-6

After going over the entry task together, we took a quiz on linear equations today in class.

Assignment:  none

Algebra 10-12 assignment; 12/5

We continued to work on line equations today involving the point slope form of a line.  We went over how to graph with the point slope equation, as well as how to convert back and forth between the three different types of line equations that we have been working with.  There is a quiz tomorrow on the three types of line equations.


Assignment:  line equation conversion worksheet

Geometry assignment; 12/5

We went over the trapezoid calculations homework together in class as well as two different types of proof problems in preparation for the test tomorrow.  The students then had time to begin working on their review sheet in class.

Assignment:  Chapter 5 Review Sheet

Answers to review sheet:

1.  triangle YWX
2.  angle XYZ
3.  110
4.  a.  30       b. 64
5.  a. 12        b. 6
6.  4
7.  rectangle
8.  rhombus
9.  parallelogram
10.  rectangle
11.  rhombus
12.  square
13.  sometimes
14.  sometimes
15.  never
16.  sometimes
17.  median or midsegment
18.  a. 115      b. 65
19.  7
20.  a. 8     b.  2      c. 36
21.  proof parts   1.  given      2.  opp. sides of parallelogram are congruent     3.  def. of parallelogram
        (can also be opp. sides of parallelogram are parallel)    4.  angle SRT congruent to angle UTW
       5.  given      6.  same as reason number 4      7.  AAS      8.  CPCTC

22.  Statements                                                                                                    Reasons
      1.  BE is congruent to BC                                                              1.  given
            angle 1 congruent to angle 3;  angle 2 congruent to angle 4      
      2.  angle 1 is congruent to angle 2                                                   2.  base angles of isos. triangles are
                                                                                                                 congruent
      3.  angle 3 congruent to angle 2;  angle 4 congruent to angle 1         3.  substitution / transitive
      4.  AD is parallel to BC                                                                 4.  if corr. angles are congruent, then
                                                                                                                lines are parallel
      5.  AB is parallel to DC                                                                 5.  if alt. interior angles are congruent,
                                                                                                                then lines are parallel
      6.   ABCD is a parallelogram                                                         6.  if both pairs of opp. sides are
                                                                                                                parallel, then quad. is a
                                                                                                                parallelogram

Geometry assignment; 12/4

We went over our homework and then spent time in class working in groups to solve 4 proofs.  We went over the proofs at the end of the period to give the students feedback on how they could do parallelogram proofs.

Assignment:  trapezoid calculations worksheet

Algebra 10-12 assignment; 12/4

We introduced the concept of our third type of linear equation today in working with the point-slope form of a line.  We went over both how to graph the equations and also the method in which to convert one equation to another.

Homework:  point-slope worksheet  #1-20 all;  graph the first 10

Geometry assignment; 12/3

We introduced the last section of the chapter today in working with trapezoids.  We went over the properties of trapezoids and also the calculations that can be made using the midsegment of a trapezoid.

Assignment:  section 5-5;  page 192-193;  #1-16 all;  page 188 #30

Algebra 10-12 assignment ; 12/3

After going over the entry task and the homework, we spent some time converting between the standard form of linear equations and the slope intercept form.  We then worked through some word problems involving the standard form of linear equations.

Assignment:  section 6-4 worksheet;  #21-36

Geometry assignment; 12/2

We went over our quiz today before working more on parallelogram proofs.  We went over two proofs together today before starting a review assignment on special parallelograms.

Assignment:  special parallelograms worksheet;  section 5-4;  page 188;  #29

Algebra 10-12 assignment; 12/2

We reviewed the different linear equations today in class  (slope intercept and standard form), as well as introducing the method of being able to convert between the two equations.

Assignment:  section 6-4;  page 333;  #1-25 odd,  27-35 all