Unit 6

Polygons and Quadrilaterals

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Measurement
ESSENTIAL QUESTION - How can you find the sum of the measures of polygon angles?

  • The formula for the angle measures of a polygon will be derived using diagonals

Reasoning and Proof
ESSENTIAL QUESTION - How can you classify quadrilaterals?

  • Students will use the properties of parallel and perpendicular lines and diagonals to classify quadrilaterals

  • Students will use coordinate geometry to classify special parallelograms

Coordinate Geometry
ESSENTIAL QUESTION - How can you use coordinate geometry to prove general relationships?

  • Students will examine slope and segment length in the coordinate plane

  • Students will use the distance formula in the coordinate plane 

Lesson/Objective Supplemental Lessons On-line Practice Homework
6-1  The Polygon Angle-Sum Theorems

Objectives:  To find the sum of the measures of the interior angles of a polygon. To find the sum of the measures of the exterior angles of a polygon. 

ESSENTIAL UNDERSTANDING: The sum of the angle measures of a polygon depends upon the number of sides the polygon has.

 


VIDEO TUTORS

Applying the Polygon Angle-Sum Theorem

Applying the Exterior Angle-Sum Theorem

 


LESSON QUIZ

hw #6-1 Due Tues Jan 8

#1-6 All
#7-39 Odd

6-2  Properties of Parallelograms

Objectives:  To use relationships among sides and angles of parallelograms. To use relationships among diagonals of parallelograms.

ESSENTIAL UNDERSTANDING: Parallelograms have special properties regarding their sides angles, and diagonals.

 


VIDEO TUTORS

Finding unknown values in parallelograms involving the sides

Finding unknown values in parallelograms involving diagonals

 


LESSON QUIZ
hw #6-2 Due Thurs Jan 10

pg 363-66
#1-8 All
#9-43 Odd
#49-53 Odd

The proofs #33,35,37 are shorties... quit whining!!

And make #44 a challenge problem, OK?!

6-3  Proving That A Quadrilateral Is a Parallelogram

Objective:  To determine whether a quadrilateral is a parallelogram.

ESSENTIAL UNDERSTANDING: If a quadrilateral's sides, angles, and diagonals have certain properties, it can be shown that the quadrilateral is a parallelogram.


VIDEO TUTORS

Proving a quadrilateral is a parallelogram

 


LESSON QUIZ
hw #6-3 Due Mon Jan 14

pg 372-74
#1-6 All
#9-27 Odd, #28,33,35

For fun, you should be able to do #36-44 fairly easily, but only if you have extra time

 

 
6-4 Properties of Rhombuses, Rectangles, and Squares

Objective: To define and classify special types of parallelograms. To use the properties of diagonals of rhombuses and rectangles. 

ESSENTIAL UNDERSTANDING: The special parallelograms (rhombus, rectangle and square) have basic properties of their sides, angles, and diagonals that help identify them.

 

6-5  Conditions for Rhombuses, Rectangles, and Squares

Objective: To determine whether a parallelogram is a rhombus or rectangle.

ESSENTIAL UNDERSTANDING:


VIDEO TUTORS

Using diagonals of rhombuses

Using diagonals of rectangles

 


LESSON QUIZ

DOUBLE UP!!

hw #6-4 Due Fri Wed Jan 16

pg 379-82
#1-6 All, #9-15 Odd, #21,23
#28-37 All, #43,45


hw #6-5 Due Wed Jan 16
pg 386-88
#1-13 All, #17-23 Odd, 24

 

6-6  Trapezoids and Kites

Objective: To verify and use properties of trapezoids and kites

ESSENTIAL UNDERSTANDING: The angles, sides and diagonals of a trapezoid have special properties.


VIDEO TUTORS

Classifying quadrilaterals

Using properties of trapezoids

Using properties of kites

 


LESSON QUIZ
hw #6-6 Due Fri Jan 18
pg 393-97
#1-6 All
#7-23 Odd
#25-26, 29,33,35
#39-44, 55

and Mid-Chapter Review #1-infinity

UNIT 6 QUIZ on Sections 6-1 thru 6-6:  Friday, Jan 18th

6-7  Polygons in the Coordinate Plane

Objective: To classify polygons in the coordinate plane

ESSENTIAL UNDERSTANDING:

 

VIDEO TUTORS

Classifying quadrilaterals using the coordinate plane


LESSON QUIZ
hw #6-7 Due 

LET'S GET RADICAL!!
pg 399 #1-15 Odd

pg 403-06
#1-4 All
#5-19 Odd. 25-33 Odd

PRE-READ 6-8, 6-9
 

6-8  Applying Coordinate Geometry

Objective: To name coordinates of special figures by using their properties.

ESSENTIAL UNDERSTANDING: Variables can be used to name the coordinates of a figure in the coordinate plane. This allows relationships to be shown to be true for a general case.

 


VIDEO TUTOR

Naming coordinates of special figures

 

  Suggested HW

hw #6-8 Due 
pg 409-412 
#1-12 All
#17, 19, 22

hw #6-9 Due 
pg 416-418 
#1-5 All
#7-17 Odd
#23, 25, and if you're really feelin' groovy #27

 

6-9  Proofs Using Coordinate Geometry

Objective: To prove theorems using figures in the coordinate plane.

ESSENTIAL UNDERSTANDING: Variables can be used to name the coordinates of a figure in the coordinate plane. This allows relationships to be shown to be true for a general case.
 


VIDEO TUTORS

Proving theorems using figures in the coordinate plane


LESSON QUIZ
UNIT 6 REVIEW      
UNIT 6 TEST:  TBA

MID-TERM: TBA

HAPPY MID-TERMS, EVERYONE!!