Lesson Plan

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Area, Perimeter, and the Smartboard

Objective:  Students will be able to use technology to prove that rectangles with the same perimeter can have different areas.

Standards:

Standards for Mathematical Practice

2. Reason abstractly and quantitatively.

In grades 3-5 mathematically proficient students will:

·      represent a situation symbolically

·      create a coherent representation of the problem

4. Model with mathematics.

In grades 3-5 mathematically proficient students will:

·      identify important quantities in a practical situation and model the situation using such tools as manipulatives, diagrams, two-way tables, graphs or pictures

5. Use appropriate tools strategically.

In grades 3-5 mathematically proficient students will:

·      use technological tools to explore and deepen their understanding of concepts

Standards  for Mathematical Content

3.MD.10. Solve real-world and mathematical problems involving perimeters of polygons, including:

• exhibiting rectangles with the same perimeter and different areas,

Materials:

            Smartboard with the Notebook software

            Internet connection

            Paper with question

Procedure:

            Give the pre-test before you start.

Pre-Test

What is area?

What is perimeter?

Do shapes that have the same area have the same perimeter?

 Are you able to do the following things on the Smartboard:

           

	I don’t know how	I might be able to do it	I know I can do it and can show you right now
Use the shape tool
Use the infinite clone tool
Write in a different color
Use fill with color tool
Use the internet
Find graph paper

           

Lesson:

Discuss some instances where someone might want to know the area or perimeter of something. 

Present this problem:  Show a rectangle that has a perimeter of 16.   What is the area?

Show on the following tools, how to do this.  Make the rectangle a color and the outline of it a different color.  (Outline it with the pen in another color.) Make sure to label the length of the sides and write the area and perimeter.   After demonstrating, let kids try it out with different areas.  These can be done at one time or split into several sessions, depending on your students’ attention spans. 

           

1.    Shape and infinite clone tool.

2.    Fill with color tool. 

3.    Graph paper

4.    Demonstrate using the internet on Smartboard

5.    Demonstrate the National Library of Virtual Manipulatives

Go to k-2, geometry, geoboard and pattern blocks.

Pass out to each student copies of the problem/rubric page below.  Then introduce the problem.  Go over the planning page and rubric. 

Give Post Test (same as pre-test) and compare with the Pre-Test

Name ___________________________

Someone has hired you to design a pen for a dog. You are given 24 feet of fencing.   The dog owner would like three options to choose from.   Create a visual showing three different choices using one of the suggested tools.  Clearly label the sides and the perimeter and area.  Use color to show which is the area and which is the perimeter. 

Which one do you think the dog owner will choose?

_________________________________________________________________________________________

_________________________________________________________________________________________

Why?   _________________________________________________________________________________

_________________________________________________________________________________________

What score from the rubric would you give yourself?  ___________

	3	2	1
Symbolize	Arrays clearly, with use of color, symbolize area and perimeter of rectangular pen	One or two things changed would make the array clearly symbolize a rectangular pen.	Arrays do not use color and/or it’s not clear how they relate to rectangular pens.
Tool	Adept use of chosen tool to show arrays	Seems unsure of how tool works	Does not know how tool works.
Answer graphic	Correctly shows 3 different arrays that have a perimeter of 24 with different areas.	Correctly shows two different arrays that  have a perimeter of 24 and different area	Less than two of the arrays have a perimeter of 24 and differing areas
AnswerWritten	One pen is chosen and reasonable explanation is given as why it may be chosen	Either one pen is not chosen or reason is not explained clearly.	Question not addressed

Planning Page

Tool I am going to use:

            Notebook software- shape tool and infinite cloner

            Notebook software- graph paper

            National Library of Virtual Manipulatives- pattern blocks

            National Library of Virtual Manipulatives- geoboard

  Check off the following steps as you complete them. 

1.     Read over the rubric.  Ask questions if you have any,

2.     Make a plan of which tool you are going to use and how you plan to do it..  Share plan with Ms. Massin (can be written or verbal plan)

3.     Create your first pen.  Save your project.

4.      Check it against the rubric. 

5.     Share and discuss with Ms. Massin

6.     Create you next two pens.  Save your project.

7.     Share with a partner and ask for any questions or suggestions. 

8.     Make a final check with the rubric , make any needed changes, and give yourself a score.

9.     Share with Ms. Massin

Someone has hired you to design a pen for a dog. You are given 24 feet of fencing.   The dog owner would like three options to choose from.   Create a visual showing three different choices using one of the suggested tools.  Clearly label the sides and the perimeter and area.  Use color to show which is the area and which is the perimeter.  Which one do you think the dog owner will choose?  Why?

Give students a copy of the rubric to look at as they do their project. 

Also give these instructions, on paper.  Tell them to make a check mark after each step when they finish it.

10. Make a plan of which tool you are going to use and how you plan to do it..  Share plan with Ms. Massin (can be written or verbal plan)

11. Create your first pen.  Save your project.

12.  Check it against the rubric. 

13. Share with Ms. Massin

14. Create you next two pens.  Save your project.

15. Share with a partner and ask for any questions or suggestions. 

16. Make a final check with the rubric and share with Ms. Massin

Rubric:

	3	2	1
Symbolize	Arrays clearly, with use of color, symbolize area and perimeter of rectangular pen	One or two things changed would make the array clearly symbolize a rectangular pen.	Arrays do not use color and/or it’s not clear how they relate to rectangular pens.
Tool	Adept use of chosen tool to show arrays	Seems unsure of how tool works	Does not know how tool works.
Answer graphic	Correctly shows 3 different arrays that have a perimeter of 24 with different areas.	Correctly shows two different arrays that  have a perimeter of 24 and different area	Less than two of the arrays have a perimeter of 24 and differing areas
Answer Written	One pen is chosen and reasonable explanation is given as why it may be chosen	Either one pen is not chosen or reason is not explained clearly.	Question not addressed