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Properties of Parallelograms

Grade Focus
Grade 9, Grade 10, Grade 11, Grade 12
Age Level
14, 15, 16, 17
Subject
Math
Technology Integration Activity
Digital Ethics, Discovering the Internet, Imaging, Online Safety, PowerPoint Presentations, Video Productions
Estimated Time of Completion
1.5-2 hours
Author: Christopher AuthenticatedPublicUser Last modified: 05/01/2010

Properties of Parallelograms

Downloads for this lesson plan

Warm-Up

Introduction

This lesson explores the special properties of parallelograms.

Prerequisite Experience

The students must know and be able to use properties of parallel lines cut by a transversal (consecutive interior angles are supplementary and alternate interior angles are congruent).  The students must know and be able to solve an equation for a given variable.  The students must know and be able to locate information and decide if it is worthy and legitimate based on criteria established by the instructor.

Teacher Prep Time

1-2 hours;

Materials include:

Warm-up (attached), an assignment document with instructions and guiding question(s), survey of true/false anticipatory guide, Laptops or Computer Lab, necessary software, Web 2.0 accounts (eduglogsters, wikispaces, toondoo, prezi, animoto-30 seconds of video for free), SharePoint (or other online collaborative tool,i.e. wiggio.com), Internet access

To protect students and the discussion threads, it is recommended the teacher load student email addresses (gmail accounts) into the Web 2.0 accounts and restrict access. The Web 2.0 tools are optional, but will allow more creative ways for students to "show what they know."

The teacher may find that a discussion thread or Web 2.0 collaborative tool is not necessary for the lesson.  This is true and would cut significant prep time.  However, if the teacher takes the time to create all the accounts and load the information (with parent approval and instructing the students on Internet safety) for this lesson, then successive lessons throughout the school year will be enhanced, and the prep time will be reduced later.

 

Project

The students will create a parallelogram in a program of their choice.  They will also create the skeleton of a flow chart or Venn Diagram for Quadrilaterals, as the parallelogram is the first they will study.

Assessment/Grading

Digital Product, Discussion Thread

Time Management Tips

Use the provided survey, LiveBinder, and attached Warm-Up.

During class, the lesson will move quickly.  The students will gather the information quickly from the Internet.  The teacher should facilitate making connections between the assignment and the information they find, then coach the organization process.  Students who are better organized with thoughts and ideas will create better digital products.  The create phase of the lesson will take the bulk of time.

Save discussion, elaboration, extension, etc. for the discussion thread completed outside of classroom time.  If students do not finish, ensure they are held accountable for creating and uploading to the online collaborative environment before the next lesson.

The lesson moves fast...there are many moving parts. 

Lesson Plan Details

Engage

The warm-up is a lead-in to the activity for the lesson.  It should include two or three of the questions posted to a polleverywhere.com website for students to text in their answers.

 

An anticipatory guide of true/false will be posted as a surveymokey survey, in which the students will use laptops (or Internet capable cell phones) to complete. 

 

Copy/paste survey URL: http://www.surveymonkey.com/s/56GTXBG

 

Explore

Following the anticipatory survey, the students will explore the following questions using the resource of their choice:

What properties of parallelograms make this quadrilateral unique? 

What would constructing one diagonal in a parallelogram create? Why? How do you know this?

The students will use LiveBinder to assist with where to look.  There is a Properties of Parallelograms tab with several subtabs to assist students with navigating the web.  It is recommended the teacher select and bookmark their preferred websites through a sharing site like LiveBinder.  However, the teacher can save time by searching the below LiveBinder and using for the lesson.

Copy/Paste URL: http://livebinders.com/edit?id=8123

Access Key: Stallion1 

Explain

Students will create a digital product to outline and explain to others the six special properties of parallelograms.  The products might range from a graphic organizer created on Microsoft Word (or Open Office), to a PowerPoint presentation (or Open Office), to a Glog, a Toondoo, a Prezi, or an Animoto movie. 

Elaborate

The students will harness synthesis (making connections) and creativity (digital products) to elaborate on their findings and the six properties.  The teacher's expectations for elaboration should be exercised here. 

In a collaborative, small group environment, students will share their products and have the opportunity to explain: 1. their product, 2. what they learned, and 3. how they could use this to apply to other shapes.

Evaluate

The students will post their findings and products to SharePoint (a web-based sharing site with controlled access).  This will afford them the opportunity to collaborate with other students.  Collaboration should be established through the creativity of the teacher.  For example, a Skype video conference can be done with another class (in the building or in the district) of the same subject (Geometry) or another class of a lower grade level.  When middle school mathematics explores quadrilaterals, the high school students can use their products to share with the middle schoolers and discuss via Skype.  Another example would be to create a discussion thread (perhaps posting the question: Which property of a parallelogram is the most important?  Why do you feel this way?).

Extend

In addition to the check for understanding homework assignment, students will have access to a discussion board on wikispaces to pose questions for homework help.  There will also be a discussion thread requirement on wikispaces to identify any parallelograms they see on a daily basis, what properties led them to classify the examples as parallelograms, and if there are any "special" parallelograms (hopefully, this last prompt will begin a dialogue about rectangles and squares).  Wikispaces.com is used by the author, the teacher should use discretion on a blog space.