Perimeter and AreaPerimeter and Area

Let the fun begin!Let the fun begin!

Summer 2003Summer 2003 Betsy Bellinger and Stacey Spillman Betsy Bellinger and Stacey Spillman 22

Why do I need to know Why do I need to know this???this???

To find out the size of your footTo find out the size of your foot To find out how long a bracelet would To find out how long a bracelet would

need to be to fit your wristneed to be to fit your wrist To find out how much carpet you would To find out how much carpet you would

need for your houseneed for your house To measure the distance you walk your To measure the distance you walk your

dog around your blockdog around your block

What is perimeter? What is perimeter?

The distance around a geometric The distance around a geometric figurefigure

Formula for perimeter Formula for perimeter of a squareof a square

P=4sP=4s

OROR

Just add all the sides togetherJust add all the sides together

YOUR CHOICE!!YOUR CHOICE!!

Let’s try it!Let’s try it!

If one side of a square measures If one side of a square measures 8 inches, what is the perimeter of 8 inches, what is the perimeter of

the square? the square?

Answer:Answer:

32 inches32 inches

Did you get it right?Did you get it right?

Formula for perimeter Formula for perimeter of a rectangleof a rectangle

P = 2L + 2W P = 2L + 2W

OROR

Just add all the sides togetherJust add all the sides together

YOUR CHOICE!!YOUR CHOICE!!

Let’s try it!Let’s try it!

Find the perimeter of the rectangle Find the perimeter of the rectangle above.above.

Answer:Answer:

18 units18 units

Don’t forget to label!Don’t forget to label!

Now let’s talk about Now let’s talk about area…area…

What is area?What is area?

The number of square units The number of square units needed to cover a surfaceneeded to cover a surface

Formula for the area of Formula for the area of a square or rectanglea square or rectangle

A= L x WA= L x W

Let’s try it!Let’s try it!

Find the area of the rectangle Find the area of the rectangle above.above.

Answer:Answer:

27 square cm27 square cm

How did you do?How did you do?

Did you remember to label?Did you remember to label?

Let’s sum things up…Let’s sum things up…

What did you learn today?What did you learn today?

Summer 2003Summer 2003 Betsy Bellinger and Stacey Spillman Betsy Bellinger and Stacey Spillman 1616

Helpful Math Websites

For Students http://mathgoodies.com This is a helpful website with

interactive lessons, homework help and worksheets for extrapractice.

http://www.funbrain.com Lots of fun math games are featuredon this site.

http://www.glencoe.com This site corresponds with our mathtext book. You can do review quizzes for specific chapters, playinteractive games, and get study guides to help you prepare forchapter tests.

http://www.aaamath.com There are hundreds of practicepages and homework help as well as math games on this site

http://www.purplemath.com/ This is a great algebra resourcewith lessons and homework help.

http://aplusmath.com Play games, test your math skills withflashcards, create practice worksheets or get help with yourhomework on this site.

http://www.math.com/ This site contains lots of math lessonsand interactive practice to help you review skills.

http://practicalmoneyskills.com/index.php Learn real life moneymanagement skills through games and activities on this site.

http://mathforum.org This is an excellent site for you to learnmath tips and tricks, practice problem solving, and find links toother math sites.

http://wwww.funbrain.com/cgi-bin/getskill.cgi?A1=gba&A2=11This site has interactive quizzes/games that students to use to practicebasic skills such as multiplication, division, perimeter and area, etc.

Teacher websitesTeacher websites

http://www.field-trips.org/trips.htmhttp://www.field-trips.org/trips.htm

Links to online field trips (has one for pi)

http://http://www.funbrain.comwww.funbrain.com//

http://http://www.barrysclipart.comwww.barrysclipart.com//

clipart available for teacher use

http://http://www.webdiner.comwww.webdiner.com//

tutorial about how to create your own web site

http://http://mathforum.org/powmathforum.org/pow//

Problems of the week

http://www.Scholastic.com/http://www.Scholastic.com/

Lesson plans and online activities

www.aaamath.comwww.aaamath.com

Basic Math Skills and step by step tutorials

http://www.curiousmath.com/http://www.curiousmath.com/

offbeat lesson plans that could be used as attention grabbers to enhance lessons

www.mathgoodies.com

This has lesson plans and printables

www.teachervision.com

This site has lesson plans, printables, and helpful short articles.

www.inspiringteachers.comwww.inspiringteachers.com

This is a great site for resources and inspiration, especially for new teachers.

http://www.teachers.net/http://www.teachers.net/

This site has articles and lesson plans for all grade levels and content areas.

http://www.4teachers.org/http://www.4teachers.org/

This is an all-in-one site that includes lesson plans, rubric-creators, printables, and gives the teacher access to set up a classroom calendar with daily assignments.

Tangram Lesson planTangram Lesson planENGAGE:

-Hold up a set of tangrams and ask the students if they can name each individual shape.

-Does anyone know what it is called when you put all of these shapes together in a set?

-Read the Grandfather Tang book aloud to the class, asking guided questions throughout.

-What did you learn from this story?

EXPLORE:

-Hand out manipulatives to explore on their own for 5-10 minutes.

-Show an example on the overhead of using the tangrams to create a shape from an

outlined puzzle, emphasizing that ALL shapes must be used and fit perfectly inside

the pattern.

-Hand out patterns/pictures for students to use to create their tangram picture.

-Walk around the room to encourage and monitor students.

-Tell students to trade patterns with a neighbor when they have completed their picture.

EXPLAIN:

-What does this activity have to do with math?

-How can this activity help you strengthen your math skills?

-What math skills did you use to create your picture?

-Have students take turns showing their finished picture to the class and share the strategy they used to solve the puzzle.

EXTEND:

-Take the class to the writing lab and have them use the interactive website http://matti.usu.edu/nlvm/nav/category_g_3_t_3.html to manipulate tangrams on

the internet to create prescribed shapes.

EVALUATE:

-Participation

-Staying on-task

-Students will write a one-paragraph reflection about what they learned in this

lesson, their reaction to the lesson, and an idea about how they can use skills

enforced in this lesson in real life.

Tangram websitesTangram websites

TANGRAM WEBSITESTANGRAM WEBSITES

www.tangram.i-p.com/www.tangram.i-p.com/

(Interactive)

www.mathsyear2000.org/games/Tangram/www.mathsyear2000.org/games/Tangram/

(Interactive)

www.enchantedlearning.com/crafts/chinesenewyear/tangram/www.enchantedlearning.com/crafts/chinesenewyear/tangram/

(Description of tangrams, guide on constructing own set, introduction to tangrams)

www.tangrams.ca/www.tangrams.ca/

(History, interactive, guide on constructing own set)

http://matti.usu.edu/nlvm/nav/category_g_3_t_3.htmlhttp://matti.usu.edu/nlvm/nav/category_g_3_t_3.html

(GREAT interactive, easy to use)

Polygon Graphic OrganizerPolygon Graphic Organizer

Main Idea

Solving Equations

One Step Equations

Undo operation by

doing the opposite

Don't forget the twins!

Isolate the variable

Equations with variables on both sides

First combine the variables so they are on

one side

Undo the constants

Divide or multiply to isolate the

variable

Summer 2003Summer 2003 Betsy Bellinger and Stacey Spillman Betsy Bellinger and Stacey Spillman 2121

Perimeter and Area SpreadsheetPerimeter and Area Spreadsheet PERIMETERPERIMETER

ItemItem LengthLength WidthWidth PerimeterPerimeter Unit of MeasureUnit of Measure ConversionConversion doordoor 77 44 2222 ft.ft. 7 yds 1 ft.7 yds 1 ft. textbooktextbook 1212 77 3838 in.in. 3 ft. 2 in. 3 ft. 2 in. top of desktop of desk 2222 1616 7676 in.in. 6 ft. 4 in. 6 ft. 4 in. spiral notebookspiral notebook 1212 66 3636 in.in. 3 ft.3 ft. calculatorcalculator 66 44 2020 in.in. 1 ft. 8 in. 1 ft. 8 in. windowwindow 66 55 2222 ft.ft. 7 yds 1 ft. 7 yds 1 ft. tile in floortile in floor 1212 1212 4848 in.in. 4 ft. 4 ft. wall tilewall tile 1212 55 3434 in. in. 2 ft. 10 in. 2 ft. 10 in. posterposter 55 33 1616 ft.ft. 5 yds. 1 ft. 5 yds. 1 ft.

AREAAREA

ItemItem LengthLength WidthWidth AreaArea Unit of MeasureUnit of Measure ConversionConversion

doordoor 77 44 2828 ft.ft. 9 yds. 1 ft. 9 yds. 1 ft. textbooktextbook 1212 77 8484 in.in. 7 ft. 7 ft. top of desktop of desk 2222 1616 352352 in.in. 29 ft. 4 in. 29 ft. 4 in. spiral notebookspiral notebook 1212 66 7272 in.in. 6 ft. 6 ft.

calculatorcalculator 66 44 2424 in.in. 2 ft.2 ft. windowwindow 66 55 3030 ft.ft. 10 yds.10 yds. tile in floortile in floor 1212 1212 144144 in.in. 12 ft. 12 ft. wall tilewall tile 1212 55 6060 in. in. 5 ft. 5 ft. posterposter 55 33 1515 ft.ft. 5 yds. 5 yds.

Reflection: From this project I learned the formulas for perimeter and area. I had a chance to practice measuring Reflection: From this project I learned the formulas for perimeter and area. I had a chance to practice measuring different objects. different objects.