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Chapter 8 - Similar Polygons!

Vocabulary:  Due Tuesday, February 5

 

1.

Ratio

4.

Extremes

7.

Geometric mean

10.

Dilation

2.

Slope

5.

Means

8.

Arithmetic mean

11.

Reduction

3.

Proportions

6.

Mean proportional

9.

Similar

12.

Similar Polygons

 

 

 

 

 

 

 

 

Postulates:                   

  •  Write out the AAA postulate.
 

Theorems:                   

  •  Write out and prove theorems 59-67.
Constructions: 
  • Mean Proportional (page 674)
  • Fourth Proportional (page 675)
  • Dilations

Memorize the squares of 1 – 25…i.e. 1²=1, 2²=4, 3²=9…252=625  (Quiz at the end of the chapter over these!)

Syllabus:  
Wednesday, January 30  

                 8.1        Ratio and Proportion
Objectives:      By the end of the hour, you will be able to:

  • Recognize and work with ratios and proportions

  • State and apply the product and ratio theorems

  • Calculate geometric means/mean proportionals and arithmetic means

Homework:        page 330-331 (14,18-21,24-27)  (make sure that you can also do problems 3, 4, 6-9, 11 - 13, 15, and 17)
 

Thursday, January 31                     8.2        Similarity
Objectives:              By the end of the hour, you will be able to:
  • state and identify the characteristics of similar figures

  • determine the length of sides of similar figures

Homework:      page 336-338 (4-6,8-17)
 

Friday, February 1  - No School  - Snow Day!
 

Monday, February 4                    8.1 - 8.2        Similarity
Objectives:              By the end of the hour, you will be able to:
  • construct a mean proportional

  • construct a fourth proportional

Homework: 

  • Vocabulary
  • Construct the mean proportional of 3 and 12
  • Construct the 4th proportional of 6, 8, and 7.5
  • Page 331 # 22
  • page 338 # 18

Model Airplane Problem Due:  Wednesday, Feb. 6

Tuesday, February 5

                8.3        Proving Triangles Similar

Objectives:      By the end of the hour, you will be able to:

  • state and use several methods to prove triangles similar

QUIZ over 8.1-8.2                      
Vocabulary and HIH due today!

Homework:      Read and take notes on section 8-3 – Be able to write all of the ways to prove similar triangles and do page 341-344 (3-7,11,17-20,22)
 

Wednesday, February 6                 8.4       Congruent and Proportions in Similar Triangles

        Objectives:      By the end of the hour, you will be able to:

  • establish the congruence of angles

  • establish the proportionality of segments

Homework:      page 348-350 (6,8-10,13,14,18-20)

Thursday, February 7


Quiz 8.1 - 8.4

 

 

Friday, February 8                   8.5        Three Theorems Involving Proportions

        Objectives:      By the end of the hour, you will be able to:

  • state and apply three theorems which are used to determine proportionality

Homework:      page 355-356 (3,4,6,8,14,20,21,29,30,34)

Monday, February 11                 Mirror/Shadow Lab - download the worksheet

Homework:      Practice Test – (Optional problems on Page 361-365 (2-5,7,8,10 - 16,19,20,25-30)  

Tuesday, February 12 - No School - Lincoln's Birthday

Wednesday, February 13                Mirror/Shadow Lab - download the worksheet
 

 

  Thursday,  February 14

Review for Test

Mirror/Shadow Lab Due today
Review for the Exam

Friday, February 15

 CHAPTER 8 TEST

        Hope you have Memorized the squares of 1 – 25…i.e. 1²=1, 2²=4, 3²=9…252=625 for tomorrow's quiz!

 

Monday, February 18

                       Start Chapter 9

        SQUARES QUIZ

 

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This Page was Updated:
02/14/2010 02:45 PM

 

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Nancy Powell
BHS Lead Teacher - Math

© Copyright, 2009 Nancy Powell
BHS Mathematics Department