Chapter 6 Quadrilaterals

Pg. 318

Conceptual Objective (CO):

YAY! New shapes!!!

In this chapter we explore Quadrilaterals. What is a Quadrilateral?

LATIN: QUAD – FourLATER – Side

Chapter 6 Quadrilaterals

Pg. 318

Conceptual Objective (CO): Quadrilateral is the general definition of ANY four-sided figure.

The broad category of Quadrilateral is further broken down into subcategories of 4-sided shapes.

ParallelogramRectangleSquareRhombusTrapezoid

Each of these Quadrilaterals is bestowed with particular characteristics.

Chapter 6 Quadrilaterals

Pg. 318

Conceptual Objective (CO): ParallelogramRectangleSquareRhombusTrapezoid

These shapes will have some unique characteristics and several common characteristics. I highly recommend staring a new chart and keeping track of the similarities and differences.

Section 6-1 Polygons Pg. 322

Conceptual Objective #1 (CO):

This section gives us the vocabulary of POLYGONS.

A Polygon is when your parrot escapes.

No of course not…Polygons are the basic straight edged shapes you already know.

Section 6-1 Polygons Pg. 322

Conceptual Objective #2:

The Interior Angles of a Quadrilateral Theorem.

HOMEWORK 6-1

Pg. 325: #12-30, 37 – 45 ODD

Section 6-2/6-3 PARALLELOGRAMS

Pg. 330, Pg. 338

C.O.: These two sections go together quite well.

In 6-2 we define the characteristics of a Parallelogram.

In 6-3 we evaluate whether those definitions apply to a Quadrilateral in order to prove whether it is a Parallelogram.

In other words, in 6-3 we find out if a Quadrilateral has any of the characteristics defined in 6-2, and if so we can say the Quadrilateral is a ParallelogramQuadrilateral is a Parallelogram.

Section 6-2/6-3 PARALLELOGRAMS

Pg. 330, Pg. 338

C.O.: Let’s think back…have we ever seen this pattern before? Has there been a time when we define the characteristics of “parallel-ness” in one section, and then in the next section we evaluate whether those definitions apply in order to prove Parallelosity?

Why yes, Mr. Kelley we have! As I recall, this same pattern occurred inSection 3-3 AND 3-4!”

Section 6-2/6-3 PARALLELOGRAMS

Pg. 330, Pg. 338

DITI:

6-2 GSP Sketch

6-3 GSP Sketch

Quick Check 6-1 thru 6-3

Parallelogram Proofs Worksheet – in Groups of 5.

Split your Group into two Sub-groups .

Each Sub-group does half the problems, then explains each proof to the other Sub-group.

Section 6-4 Rectangles

Pg. 347

Rectangle Example Problems

Rectangle Reteaching handout w/answers

DITI: Rectangle GSP sketches

HOMEWORK 6-2/6-3/6-4

Pg. 333: #1, 20-25, 27-37 ODD, 55, 57

Pg 342: #9-19, 31, 37

Rectangles Practice WS - ODDS

WARM UP

Try this puppy!

Section 6-4 Rhombi, Rectangles and Squares

Pg. 347

C.O.: In this section we define three special Parallelograms and note their unique properties.

Please read thru the section.

See Definitions Rhombi, Rectangles and Squares on the top of page 347. Please note the Venn diagram. This is yet another way to organize data, specifically sets that overlap.

Also see the various corollaries and Theorems on pp 348-349

Section 6-4 Squares and Rhombi

Pg. 347

DITI: More GSP sketches

Rhombi and Squares Reteaching handout w/answers

HOMEWORK 6-4

Pg. 351: #12-21 ALL, 45, 52

Rhombi and Squares Practice WS – ODDS

Study for Quiz on 6-1 thru 6-4 (Rectangles only in 6-4)

Section 6-5 Trapezoids and Kites

Pg. 356

C.O.: In this section we define a Trapezoid and note its properties; we define a Kite and note its properties.

DITI #1: See Definition of a Trapezoid at the top of pg. 356. Note the definition of an Isosceles Trapezoid there too.

Theorems 6-14 - 6-16 apply to Isosceles Trapezoids onlyonly.

Theorem 6-17 is for ANYANY Trapezoid.

Section 6-5 Trapezoids and Kites

Pg. 356

DITI: Trapezoid GSP sketches

Section 6-5 Trapezoids and Kites

Pg. 356

DITI #2: See Definition of a Kite at the top of pg. 358.

Read Theorems 6-18 and 6-19.

HOMEWORK 6-5

PG 359: #10-18, 22-24, 28-33, 36, 37

Section 6-6/6-7

We have a Test on Chapter 6 on Friday 2/18.

In class today you will work on the last two sections of the chapter. Work in groups according to the directions.

During class, when you have the opportunity to discuss your work with your classmates, you should work on the pages of the handouts as indicated in the instructions on the next few pages. If you finish all of your in class work then feel free to start the homework.

ALL OF THE PAGES are due as homework on the day of the test.

I should be here Wednesday to help answer any questions and review.

Section 6-6 Special Quadrilaterals

(Summarizing Properties of Quadrilaterals)

Pg. 364

You have studied 7 different quadrilaterals. In this section you will hone your skills in:

1.Distinguishing the shapes based on given information2.Proving quadrilaterals as one of the 7 shapes

Section 6-6 Special Quadrilaterals

(Summarizing Properties of Quadrilaterals)

Pg. 364

I have given you a 6-6 handout. The first two pages are to be done in class. The last two pages are homework.

ALL OF IT is Homework due the day of the test.

Remember, while you are doing your work concentrate on Distinguishing the shapes based Distinguishing the shapes based on given information on given information and Proving quadrilaterals Proving quadrilaterals as one of the 7 shapesas one of the 7 shapes

Section 6-7 Areas of Triangles and

Quadrilaterals Pg. 372

You have studied 7 different quadrilaterals. Now we will explore how to find the Area of each.

I have given you a 6-7 handout. The first two pages are to be done in class. The last page is homework.

ALL OF IT is Homework due the day of the test.

Section 6-7 Areas of Triangles and

Quadrilaterals Pg. 372

On the first page of the 6-7 handout, as you count to find the area, think about how each shape is a combination of squares, rectangles, and triangles and try to predict the formula for each.

On the second page, read each Postulate or Thm. Translate each sentence into a Formula (where

possible). Then check in the book to make sure you wrote each one correctly.