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Triangles and Congruence - Part 2

Triangles and Congruence - Part 2

Author: Crystal Kirch
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Tutorial

ACTIVITY #1

WHOLE CLASS 

  • Introduction to the compass kit 
  • safety
  • taking care of kits 
  • troubleshooting problems with the compass (lead)

ACTIVITY #2

IPOD ACTIVITY - Page 38 - top half

ACTIVITY #3

CALL MRS. KIRCH OVER TO DISCUSS

  • How many tries did it take you?
  • How accurate is your picture?
  • What's the hardest part?

ACTIVITY #4

IPOD ACTIVITY - Page 38 - bottom half

ACTIVITY #5

CALL MRS. KIRCH OVER TO DISCUSS

  • Recite steps for drawing a triangle given 3 sides
  • What acronym can we give this? 

ACTIVITY #6

IPOD ACTIVITY - page 39-40

ACTIVITY #7

CALL MRS. KIRCH OVER TO DISCUSS

  • What questions do you have about constructing SSS?
  • Why was triangle #7 impossible?
  • What can we conclude about drawing triangles given 3 sides?  Under what circumstances will the triangle be impossible?

ACTIVITY #8

COMPLETE PW 4.12 AND THEN CHECK YOUR ANSWERS BELOW

 

#1-10 - Use the patterns you saw to decide.  Include a 1 sentence explanation
#11-14 - Use your compass, ruler, and pencil to construct

 

 

 

ACTIVITY #9

IPOD ACTIVITY - page 41
*Need colored set of 7 triangles for each group of 2 or 4

ACTIVITY #10

CALL MRS. KIRCH OVER TO DISCUSS

  • Check labels on all 7 triangles

ACTIVITY #11

IPOD ACTIVITY - page 42

ACTIVITY #12

CALL MRS. KIRCH OVER TO DISCUSS

  • What did you notice about the categories when divided into scalene, isosceles, and equilateral?
  • What did you notice about the categories when divided into acute, obtuse, and right?
  • What are Google's definitions of all 6?
  • Which two couldn't be drawn from the chart?
  • Go over how to mark sides and angles correctly as congruent. 

ACTIVITY #13

COMPLETE PW 4.13 AND THEN CHECK YOUR ANSWERS BELOW

#15-24 make sure you have two descriptive words for each problem

ACTIVITY #14

IPOD ACTIVITY - page 44-45

ACTIVITY #15

CALL MRS. KIRCH OVER TO DISCUSS

  • What were your 3 observations?
  • Which ones did you list under the "confusing" section that we need to go over? 

ACTIVITY #16

COMPLETE PW4.14 AND THEN CHECK YOUR ANSWERS BELOW

#25-29 use your conclusions from the linguine activity.  Include a 1 sentence explanation with each answer.

#30-34 make sure you have two descriptive words for each problem

 

ACTIVITY #17

IPOD ACTIVITY - page 46

ACTIVITY #18

CALL MRS. KIRCH OVER TO DISCUSS

  • What were the possibilities you came up with?

ACTIVITY #19

IPOD ACTIVITY - page 47

ACTIVITY #20

CALL MRS. KIRCH OVER TO DISCUSS

  • Check the 5 drawings
  • What transformations did you use?  Show me
  • KEY IDEA: If you are given ________, the triangles will always be __________ to each other no matter which way you draw them.

ACTIVITY #21

COMPLETE PW4.15 AND THEN CHECK YOUR ANSWERS BELOW

#35-49  Your reason will either be SSS or something else.  

*It is only congruent (right now) if you find SSS.  

**Remember that VERTICAL ANGLES are congruent, and if two triangles share a side, that side is congruent.

 

ACTIVITY #22

IPOD ACTIVITY - page 48

ACTIVITY #23

CALL MRS. KIRCH OVER TO DISCUSS

  • What triangle(s) did you draw?
  • What is different about this construction from SSS (#2)
  • Did everyone draw the same triangle?  If not, what does this mean? (#3)
  • Summarize the two big things we've learned so far this unit. (#4)

ACTIVITY #24

IPOD ACTIVITY - page 49-50

ACTIVITY #25

CALL MRS. KIRCH OVER TO DISCUSS

  • How many triangles did you draw?  Show me
  • Are the triangles in #1 and #5 congruent?  Why or why  not?  Show me.

ACTIVITY #26

COMPLETE PW 4.16 AND THEN CHECK YOUR ANSWERS BELOW

#50-61 use what you remember from before break (Supplementary, Complementary, Angles in a Triangle, Vertical Angles, Exterior Angles) to answer the questions.

ACTIVITY #27

PAGE 51-52 (TBD)

ACTIVITY #28

COMPLETE PW 4.17 AND THEN CHECK YOUR ANSWERS BELOW

#62-73 Your reason will either be SSS, SAS, ASA/AAS, or ***/SSA  It is only congruent  if you find SSS, ASA/AAS, or SAS.  Remember that VERTICAL ANGLES are congruent, and if two triangles share a side, that side is congruent.

ACTIVITY #29

PAGE 55-56

This is a partner/group practice problem solving test.  Read carefully, discuss, and call me over if you need help.

ACTIVITY #30

CALL MRS. KIRCH OVER TO DISCUSS

  • Is Adeline correct?
  • Is Suzie correct?
  • Is Wally correct?

ACTIVITY #31

Triangles and Congruence Skills Test #2 Review (Version 1)

ACTIVITY #32

PAGE 57

This is a partner/group practice problem solving test.  Read carefully, discuss, and call me over if you need help.
 

DIRECTIONS: Decide if the pairs of triangles described can be congruent or not.  Write a reason for your answer.

ACTIVITY #33

CALL MRS. KIRCH OVER TO DISCUSS

  • Which ones were "no"?
  • Which ones were "yes"?
  • What was your answer for #5?  Why?

ACTIVITY #34

Triangles and Congruence Skills Test #2 Review (Version 2)

ACTIVITY #35

PAGE 59-60

This is a partner/group practice problem solving test.  Read carefully, discuss, and call me over if you need help.
 

PLEASE NOTE:  This is a sample "proof" from 2 students about Card 5 from the page 57 activity.  Refer to your notes from that activity while discussing

ACTIVITY #36

CALL MRS. KIRCH OVER TO DISCUSS

  • Do you agree with Jorge, Kieran, or neither?  Explain.

ACTIVITY #37

Triangles and Congruence Skills Test #2 Review (Version 3)

ACTIVITY #38

PAGE 61-62

This is a partner/group practice problem solving test.  Read carefully, discuss, and call me over if you need help.

ACTIVITY #39

CALL MRS. KIRCH OVER TO DISCUSS

  • Is Ben correct?
  • Is Sanjay correct?
  • Is Max correct?

ACTIVITY #40

Triangles and Congruence Skills Test #2 Review (Version 4)