Algebra 10-12 assignment; 12/17

We continued our work with compound inequalities today by taking a look at how to work with disjunctions.  Between conjunctions and disjunctions, the graphs of compound inequalities now have a complete picture.  We went through 5-6 examples together before the students got started on their homework towards the end of the period.

We will cover one more section tomorrow before then taking a quiz over sections 9-1 to 9-3 on Friday.


Assignment:  Section 9-2;  page 408;  #17-30 all,  #32, 33, 37-43 all

Geometry assignment; 12/17

We spent some time reviewing inequality and indirect proofs today together.  The students then got started on their review packets in preparation for the test tomorrow.  The students also got back their graded take home quizzes to study.

Assignment:  Chapter 6 review sheet and study guide

Answers will be posted later this afternoon.


Test on chapter 6 on Thursday, Dec. 17



Answers to Chapter 6 Review Packet:

Inequalities in Triangles

1.  angle B, angle A, angle C
2.  FE, DE, DF
3.  no
4.  yes
5.  no
6.  11; 41
7.  may be
8.  cannot be
9.  must be
10.  AB
11.  DG
12.  HK
13.  angle 1
14.  angle 1
15.  angle 1
16.  D; B
17.  AB
18.  CA;  CB
19.  DC

Indirect Proof worksheet

1.  triangle ABC is scalene;  or triangle ABC is not equilateral
2.  a < b
3.  angle X < angle Y
4.  Doug is not a Canadien
5.  Kim is a violinist
6.  CX is a median of triangle ABC
7.  don't do
8.  Assume a is parallel to b
     Reason:       angle 2 is congruent to angle 3    (vertical angles congruent)
                         angle 1 is congruent to angle 3    (corresponding angles congruent)
                         angle 1 is congruent to angle 2    (transitive / substitution)
     m angle 1 = m angle 2 contradicts the given that m angle 1 does not equal m angle 2
    Assumption is wrong, therefore a is not parallel to b

9.  Assume angle J and angle K are both right angles
     Reason:      OE is congruent to OE   (reflexive)
                        triangle JOE is congruent to triangle KOE   (AAS)
                        OJ is congruent to OK    (CPCTC)
     this statement contradicts the given that OJ is not congruent to OK
     Assumption is wrong, therefore angle J and angle K are not both right angles

10.  Assume OE does bisect angle JOK
       Reason:    angle 1 is congruent to angle 2   (def. of bisect)
                        OE is congruent to OE    (reflexive)
                        triangle JOE is congruent to triangle KOE   (SAS)
                        JE is congruent to KE   (CPCTC)
      This statement contradicts that JE is not congruent to KE
      So the assumption is wrong, therefore OE does not bisect angle JOK

Algebra 10-12 assignment; 12/16

Geometry assignment; 12/16

We continued working on triangle inequalities today by exploring the way that two triangle inequalities work.  We went over the Hinge Theorem today by showing how both the SSS and SAS inequality theorems work.  We did several sample problems together before the students then got to work on their homework during the last part of the period.


Assignment:  section 6-5;  page 230  CE  #1-8 all;  page 231  WE  #1-8 all;  page 233   Self Test 2;  #1-9 all


Our chapter 6 review will take place tomorrow.  Our chapter 6 test is scheduled for Thursday, Dec. 18th.

Geometry assignment; 12/15

We went through section 6-4 today in class, discussing inequalities in a single triangle.  We related the size of the angles to the sides opposite them, and vice versa.  We also spent time going over the range of sizes that a side lengths can be in a triangle.  The students then got a start on their homework before the end of the period.


Assignment:  Triangle Inequality worksheet

Algebra 10-12 assignment; 12/15

We started chapter 9 today, as we are going to go a little out of order to be able to finish up a particular topic before Christmas break.  We will work on the first part of chapter 9 this week, which has a good breaking point in the middle.

We focused on how to work with set notation today and demonstrated how to write both roster notation and set builder notation from a statement or a set of numbers.  We also worked on finding the intersection and union of two different sets.

Assignment:  page 403;  #1-28 all

Geometry assignment; 12/12

We went over the homework and then went through a few more indirect proofs together in class.  The students then got started on their take-home quiz in class before leaving.


Assignment:  Chapter 6 take-home quiz

Algebra 10-12 assignment; 12/12

We went over our entry task today as a final review before the test on Chapter 5 -- Polynomials.

the students took the test and then worked on an extra credit worksheet once they finished.


Assignment:  extra credit worksheet on polynomials

Geometry assignment; 12/11

I was at a district meeting today, so the students went over the homework with the sub and then began work on a review packet that I gave them.  This packet is due on Monday, but they were able to get the bulk of it done in class today.


Assignment:  Chapter 1-5 review packet   (due Monday, Dec. 15)

Algebra 10-12 assignment; 12/11

We went over our entry task and homework today before getting started on a review sheet for the polynomials test tomorrow.  The students worked on the review sheet the entire period and got feedback on their answers as they went.


Assignment:  Polynomials review sheet

Geometry assignment; 12/10

We introduced the concept of indirect proofs today by showing the students the 4-step process of how these proofs work.  We went through several examples together, as indirect proofs are quite different from the direct proofs we have been using throughout the year.

Assignment:  section 6-3;  page 215,  CE #1-7 all
                                               page 216;   WE  #1-5 all;  #7-10 all

Algebra 10-12 assignment; 12/10

We continued our work with polynomials today by showing how to work problems that involve (2 x 3) and (3 x 3) multiplication grids.  These binomial-trinomial problems and trinomial-trinomial problems need to be broken down into smaller steps in order to be solved.  We went through several examples together before the students got started on their homework.


Assignment:  section 5-11;  page 251;  #2-8 even;  #1-16 even;  #25-32 all

Geometry assignment; 12/9

We continued our work with triangle inequalities today by taking a look at inverses and contrapositives.  These terms were added on to what we had learned earlier in the year when dealing with if....then statements and converses.  We went over several examples together, and also demonstrated how Venn diagrams can be used to answer these types of inequality problems.


Assignment:  conditional forms worksheet  (#2-16 evens)  +  section 6-2 in book;  page 211;  #11-12

Algebra 10-12 assignment; 12/9

We continued working with multiplying polynomials today by showing how to take a couple of shorts cuts in our work.  Multiplying the sum and difference of the same two terms allows a shortcut that we modeled with several problems together.  We also showed how to multiply binomial squares using the foil method.  The pattern observed when collecting like terms can also be used as a shortcut in doing these problems.  


Assignment:  Section 5-10;   page 247 ;  #2-38 even;  #53-64 all

Algebra 10-12 assignment; 12/8

The students got their quizzes from Friday back today.  Quiz corrections are due by Thursday for those students who would like to improve their grade.

We began the process of learning how to multiply polynomials today.  We went over two of the first types of problems that the students will face and then introduced the FOIL method of multiplying polynomials.  This method will be used several times throughout the rest of the year, so it is an important one to know and be able to use well.

Assignment:  section 5-9;  page 242-243;  #1-53 odd;  skip #35, 37

Geometry assignment; 12/8

We began the shortest chapter in our book today -- chapter 6.  We will complete this chapter before Christmas break.  The first topic dealt with inequalities in geometry and introduced the concept of a proof involving inequalities.  We went through several examples as a class together before the students worked on their homework assignment during the last part of the period.

Assignment:  section 6-1;  page 205;  CE  #1-12 all, 17-19 all
                                           page 206;  WE   #1-4 all, 6, 7

Geometry assignment; 12/5

After turning in the chapter 5 review sheet, the students took the chapter 5 test in class today.  Once the test was done, students were given the option of working on an extra credit assignment.


Assignment:  none;  extra credit option

Algebra 10-12 assignment; 12/5

We went over a quick review of adding and subtracting of polynomials with our entry task today in class before taking the quiz on adding and subtracting polynomials.  Once the students finished their quiz, they got started working on their assignment.

Assignment:  adding and subtracting polynomials worksheet  #2-30 even

Geometry assignment; 12/4

We went over a quick review together of the different types of quadrilaterals we studied this chapter.  This chart that we made can be a helpful study tool for the test tomorrow.  We also went through one parallelogram proof together, as there will be one of these types of proofs on the test tomorrow.  The students then got started on their review assignment in preparation for the test.

Assignment:  Chapter 5 review sheet


Chapter 5 Review Sheet Answers

Trapezoid Section

1.  16
2.  17
3.  4
4.  8
5.  2
6.  78
7.  63, 117
8.  72, 108
9.  13
10.  15
11.  65, 115, 115
12.  angle B, angle CFE, angle DEF
13.  10, 15
14.  6, 18
15.  12
16.  24, 12
17.  2x ,  x = 1.2

Special Parallelograms Section

1.  true
2.  false
3.  False
4.  false
5.  false
6.  false

7.  rectangle
8.  rhombus
9.  rhombus
10.  square
11.  rhombus

12.  17
13.  15.5
14.  17
15.  70, 40
16.  35
17.  90
18.  90
19.  55
20.  70
21.  110

22.  25
23.  9
24.  18

25.  13, 13
26.  17, 8.5
27.  45, 90

Algebra 10-12 assignment; 12/4

We continued our work with polynomials today by introducing how to subtract polynomials.  We found the additive inverse of each polynomial and then used it to clear the parentheses before adding the terms together.  Subtraction is really just adding the inverse.  We went over 3-4 problems together before getting started on our homework assignment.


Assignment:  Section 5-8;  page 238-239;  #1-20 all  (skip #10);  25-37 odd;  45-51 all

Geometry assignment; 12/3

We went over the final section of chapter 5 today by taking a look at trapezoids and their properties.  We went over the definition of a trapezoid and what are the special characteristics of an isosceles trapezoid.  We then did several calculation problems to find the angles inside a trapezoid and the midsegment / bases of trapezoids.


Assignment:   Trapezoids worksheet +  section 5-5;  page 192-93;  WE #6-11

Algebra 10-12 assignment; 12/3

We began working on operations with polynomials today and used a couple of different methods to accomplish the task.  The task was addition of polynomials and we went over how to do that using mental math and also by using columns when the problems became more complex.  We went over several examples together before the students got started on their assignment.


Assignment:  section 5-7;  page 233-235;  #5-24 all, 40-44 all

Geometry assignment; 12/2

We continued our work with special parallelograms today, working through several examples that dealt with rectangles and the right triangles that they contain.  We also did a few sample problems with the rhombus.  The students then got started on their assignment.


Assignment:  Special Parallelograms worksheet

Algebra 10-12 assignment; 12/2

We continued our introduction to polynomials today working on degrees of polynomials and putting them in descending order with respect to a specific variable.  The students also saw how to evaluate polynomials and work to get an answer when a number is provided to plug in.

The students then got started on their assignment during the 2nd half of the period.


Assignment:  Section 5-6;  page 225;  #42-47 all;  page 2290-230;  #1-12 all; 15-33 odd; 44-49 all

Geometry assignment; 12/1

We continued our study of parallelograms today by taking a look at some special cases of parallelograms in the form of rectangles, rhombuses, and squares.  The special cases involve a few different properties that allow shortcuts to be taken in various calculation problems.  We went over several of these types of problems together before the students got started on their assignment.


We will finish up Chapter 5 on Wednesday of this week.  We will look to review on Thursday and then take a test on Chapter 5 on Friday, Dec. 5.


assignment:  section 5-4;  page 186 CE #1-4 all;  page 187;  WE  #1-19 all

Algebra 10-12 assignment; 12/1

We got back from the long Thanksgiving weekend today and began working on polynomials.  We went through a lesson that involved several of the vocabulary terms necessary to work with polynomials  (terms, coefficients, monomial, binomial, trinomial, etc.).  We also did some additional complex problems that involve combining like terms.  The students got started on their assignment during the 2nd part of the period.


Assignment:  section 5-5;  page 224-225;  #2-24 even, #25-40 all, #57-62 all