Unit 5Relationships within Triangles 

WHY DO WE NEED TO LEARN THIS?
... because if you want to be an architect, builder or engineer, you'll need to understand this... Lecture7:
The Elements of Coplanar Force Resolution 

Lesson/Objective  Supplemental Lessons  Online Practice  Homework 
51
Midsegments of Triangles Objectives: To use properties of midsegments to solve problems ESSENTIAL
UNDERSTANDING: There are TWO special relationships between the
midsegment of a triangle and the third side of the triangle 

LESSON QUIZ 
hw #51 Due Fri Dec 7 pg 288289 #16, 1929 Odd (Optional Challenge #4648) 
52
Perpendicular and Angle Bisectors Objectives: To use properties of perpendicular bisectors and angle bisectors ESSENTIAL
UNDERSTANDING: There is a special relationship between the
points on a perpendicular bisector and the endpoints of the segment AND
there is a special relationship between the points on an angle bisector
and the sides of an angle. 

LESSON QUIZ 
hw #52 Due Tues Dec 11 Read Section 52 pg 296298 #110, 1622, 2931 
53
Bisectors in Triangles Objectives: To identify properties of perpendicular bisectors and angle bisectors ESSENTIAL
UNDERSTANDING: For ANY triangle, certain sets of lines are
always concurrent. Two of these sets of lines are the perpendicular
bisectors of the triangle's three sides and the bisectors of the
triangle's three sides. 
VIDEO TUTORS 
hw #53 Due Thurs Dec 13 pg 305307 #16 All, #729 Odd (Optional Challenge #3032)


54
Medians and Altitudes Objectives: To identify properties of medians and altitudes of a triangle ESSENTIAL
UNDERSTANDING: A triangle's three medians are always concurrent
AND a triangle's three altitudes are always concurrent.

VIDEO TUTORS 
LESSON QUIZ 
hw #54 Due Mon
Dec 17 pg 312314 #113 All, #1523 Odd, 29,30,35

UNIT 5 QUIZ on Sections 51 thru 54: Mon, Dec 17th 

55
Indirect Proof
Objectives: To use indirect reasoning to write proofs ESSENTIAL UNDERSTANDING: You can use indirect reasoning as ANOTHER METHOD of proof. It is sometimes called proof by contradiction.

LESSON QUIZ 
hw #55 Due Weds Dec 19 pg 319321 #49 (remember to start each phrase with the words "Assume temporarily..." #14,15,22,23,29 pg 323 #117 Odd 

56
Inequalities in One Triangle
Objectives: To use inequalities involving angles and sides of triangles ESSENTIAL
UNDERSTANDING: The
angles and sides of a triangle have special relationships that involve
inequalities.

LESSON QUIZ 
hw #57 Due Weds, Jan 2 pg 328 #15 ALL, #731 Odd, 37, 43 

57
Inequalities in Two Triangles Objectives: To apply inequalities in two triangles ESSENTIAL
UNDERSTANDING:
In triangles that have two pairs of congruent
sides, there is a relationship between the included angles and the third
pair of sides.

hw #57 Due Friday Jan 4th pg 336338 #110 ALL, 1123 Odd Suggested Chapter 5 Review 

UNIT 5 REVIEW  CHAPTER TEST 

UNIT 5 TEST: Tuesday, January 8th, 2013 