Hello class. Here is our first class video that will help you find the area and perimeter of a complex figure. This is my first attempt at a home video, so please excuse the background. I hope that you can use this video to better understand how to apply your skills to more complex figures.

Hello Students,

Here is our first class Podcast. I hope that you find it helpful in thinking about Perimeter and Area.

http://angelabrodiegarrett.podbean.com/mf/web/7ct8me/podcast2.mp3

Vocabulary Review Video

Here is the vocabulary review in a video format. I still suggest that you download and review the PowerPoint that is linked below. This is secondary way to view and study the course vocabulary. Please use the format that best works for you.

Geometry Vocabulary Review

To succeed in this class you will need to have a working knowledge of the important vocabulary words in Geometry. Knowing the definition of vocabulary words quickly and automatically will help you to understand and answer question more quickly and with greater understanding. This week I would like you to take time to review the vocabulary flash card presentation. There will be a quiz on these important words at the end of the week, so be sure to go back and review as often as you can to ensure that you will be successful.

The link below will take you to the Flash Card Presentation.

Geometry Vocabulary Flash Cards

If you need any further clarification on any of the vocabulary words please feel free to contact me directly or post a comment on the blog, and other students may be able to assist you.

Class Resources

I have created a PowerPoint Presentation that will be a single vessel for all of the resources that will be used in our course.

Here is a link to the Presentation. Please be sure to check back with the presentation on a regular basis as I will be adding resources as they become available and needed for our class.

Online Course Resources Presentation

I hope that you will find the resources helpful.

Online Video Resources 2

Here is the second video that we will use as a resource for our online course.

Online Video Resources 1

Here is the first video that we will be using as a resource for our online course.

Area of Complex Shapes- Lesson 1

Area and Perimeter of Complex Figures

State Standards Addressed:

The content standard that this lesson will address will be taken from the fourth grade mathematics standards. The class is designed to be an extra support element for students in grades 4 through 6. Due to the review and support nature of the class the standards addressed may be below the grade level of individual students, but are relevant to the content of the course.

4^th Grade

Algebra and Functions

1.0 Students use and interpret variables, mathematical symbols, and properties to write and simplify expressions and sentences:

1.1 Use letters, boxes, or other symbols to stand for any number in simple expressions or equations (e.g., demonstrate an understanding and the use of the concept of a variable).

Measurement and Geometry

1.0 Students understand perimeter and area:

1.4 Understand and use formulas to solve problems involving perimeters and areas of rectangles and squares. Use those formulas to find the areas of more complex figures by dividing the figures into basic shapes.

Content Standards can be found in full detail on pages 16 and 17 of the Mathematics Content Standards for California Public Schools.

Introduction:

Knowing how to calculate area is a very important skill for all students to learn. Now that we have covered and learned how to find the area of basic quadrilaterals, area= length x width, we are going to learn how to apply this skill to more complex figures. 

In many real world applications our shapes will not be perfect squares and rectangles. In this lesson we will be taking our understanding of calculating area and applying it to more complex polygons.

A basic polygon is typically a square or a rectangle. The formula for calculating the area of these shapes is A=L x W.

For this basic polygon our formula to calculate the area would be A= L x W. For this figure our length is 5 in. and our width is 7 in. So our formula would be A= 5in x 7in, or A=35in^2.                                

W= 7 in              L= 5 in

           

But what if the shape that you wanted to calculate the area of was not a basic square or rectangle? We are going to learn how to apply our newly learned skills to complex shapes. By the end of the lesson you will be able to calculate the area of a shape like this one with no problems.

Task/Process:

For this lesson you will be asked to work both individually and in a pair.

Each individual will watch and respond to a video on how to calculate the area of complex figures. In your response please discuss what you learned from the video and what you still are unclear about. After posting your response to the video read through and respond to 2 classmates posts. Your responses should be relevant and if possible you should address issues that they are still having with the concepts.

Along with the discussion you will be working in groups of 2, you will create a short power point presentation similar to the teacher created one linked here: Finding the Perimeter and Area of Complex Figures.

Your presentation should follow the progression of the teacher presentation. You and your partner must create a complex figure, find and label all the sides and lengths on the figure, and calculate the perimeter and the area of the figure. You will be graded on your detail explanation of the steps needed in order to complete the problem. You may choose to complete the problem together or you may choose two figures and complete them individually. Even if you choose to do two problems both partners should check the work and the calculations on the entire presentation. One grade will be given for the group. 

 Resources:

To complete these assignments there are some videos that you will need to watch.

To view the technological components you will need to have access to you tube, an internet image search, and Microsoft Power Point.

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      The video to watch is Area of Complex Figures-Finding Missing Lengths (#3 and #4)      

      You can access them here:

Area of Complex Figures-Addition Method (#3)

Area of Complex Figures-Finding Missing Lengths (#4)

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      The power point example can be viewed here:

§  Finding the Perimeter and Area of Complex Figures

      For your power point you will need to access an internet search engine to find your complex figure for your power point presentation. To aid your search I suggest these search terms: perimeter and area of complex figures. After doing your search choose a figure that does not already have the problem worked out and copy and paste the image into your presentation. Please include the website link for your image so that I may look at your source.

Rubric/ Grading:

Discussion Rubric

Category	Description	Points
Initial Response	Student clearly responded to the video. Student touched on both required aspects of the discussion.	10 points
Response to Peers	Student posted two additional posts to peer submissions. Responses were relevant and meaningful.	5 points for each response
	Total Points Possible	20 points

Power Point Rubric

Multimedia Project : Area of Complex Figures Presentation
Teacher Name: Ms. Brodie
Student Name:     ________________________________________
CATEGORY	5	4	3	2
Design	Makes excellent use of font, color, graphics, effects, etc. to enhance the presentation.	Makes good use of font, color, graphics, effects, etc. to enhance to presentation.	Makes use of font, color, graphics, effects, etc. but occasionally these detract from the presentation content.	Use of font, color, graphics, effects etc. but these often distract from the presentaion content.
Requirements	All requirements are met and exceeded.	All requirements are met.	One requirement was not completely met.	More than one requirement was not completely met.
Content	Covers topic in-depth with details and examples. Subject knowledge is excellent.	Includes essential knowledge about the topic. Subject knowledge appears to be good.	Includes essential information about the topic but there are 1-2 factual errors.	Content is minimal OR there are several factual errors.
Organization	Content is well organized using headings or bulleted lists to group related material.	Uses headings or bulleted lists to organize, but the overall organization of topics appears flawed.	Content is logically organized for the most part.	There was no clear or logical organizational structure, just lots of facts.
Mechanics	No misspellings or grammatical errors.	Three or fewer misspellings and/or mechanical errors.	Four misspellings and/or grammatical errors.	More than 4 errors in spelling or grammar.
Total Points:     /25

Conclusion:

At the end of this assignment you should feel more confident in your area and perimeter skills. We have taken our basic skills and learned to apply them to more complex and difficult problems. In this lesson you have learned that problems will typically take multiple steps that must be organized properly to successfully reach an answer. From this lesson you should be able to correctly find the answer to any complex area problem. If you do not yet feel fully confident in your new skills it is alright. Keep practicing and please feel free to contact me with any questions or issues that I can clarify. As an additional tool to keep practicing and sharpening your skills visit this site, it will allow you to practice finding area in a fun and easy way WWW.ixl.com it is great for extra practice.

Class Overview

Geometry Support

4^th – 6^th Grade

Instructor: Ms. Angela Brodie

Email: Angela.Brodie@sbcusd.k12.ca.us

Phone Number: 909-728-1147

Course Description

This is an online course designed as a supplemental element for 4^th through 6^th grade students that are learning or need extra support in the area of geometry. This course will cover basic elements of geometry. The class will focus on the elements of measurement, perimeter, area, and volume. Students will cover basic polygons and move into applying their skills to complex shapes.   

Intended Learners

Students that will benefit most from this course are students that are in need of extra support in geometry. Students in this course must have a basic understanding of mathematical processes and need more practice and instruction in geometry. Students must have access to the online portal after school and at home.

Duration

This course is designed to be completed in one 4 week session. The course will include four units with one unit being covered each week. The course dates will vary based on your schools track calender. Please reference the district calenders. Traditional tracks will begin before spring break and resume after students return. 2012-2013 School Year Calender

Course Goals

This course will teach students to identify different parts of shapes including length, width, and height. Skills will be applied to the formulas for perimeter, area, and volume. This course will build on skills taught, and will improve student understanding of geometric shapes and properties. At the end of the course students will have a strong grasp on mathematic formulas and processes needed to determine perimeter, area, and volume of basic and complex polygons.

Learner Objectives

Upon the completion of the Geometry Support course, students will be able to:

·         Measure and label lengths of two dimensional shapes

·         Use the proper formula to correctly calculate perimeter

·         Use the proper formula to correctly calculate area

·         Identify and label the length width and height of three dimensional figures.

·          Use the proper formula to correctly calculate volume

·         Apply knowledge of perimeter, area, and volume to basic and complex shapes

Hello Students

Hello students and parents and welcome to Geometry Support Online. Let me begin by saying that I am so happy that you have taken this opportunity to further your geometry skills. 

My name is Ms. Brodie and I am based in Oak Hills, CA. I am an elementary school teacher in the San Bernardino City Unified School District. My credential is in Multiple Subjects K-6 education. I have a concentration and a second credential in Mathematics. I have worked for the school district for the past 3 years in a number of different capacities. I have spent most of these 3 years as a support teacher with a focus on small group instruction and intervention.

I am recently married and enjoying every minute of it. I do not have any children of my own yet but consider all of my students my kids. I love teaching and am looking forward to this new experience of online learning.  

Math is my passion and I particularly love geometry. I enjoy teaching math and helping students to realize that it is important and usable in their everyday lives.

I am here for you, so if you have any questions or concerns please feel free to contact me. My contact information can be found on the syllabus. I know that this class is going to be great and I am looking forward to getting started.