Goal of Todays Class

1
Goal of Todays Class

• Work on Components of a Lesson Plan for Middle
  School Students
• Engagement
• Factors related to the Instructional Procedures

2
Overview of Lesson Activity

• Given a fixed perimeter for a rectangular region,
  what dimensions would maximize the enclosed area
  minimize the enclosed area?

3
Focus Standards

• 5M-E6 Describe how a change in the linear
  dimension of an object affects its perimeter,
  area, and volume.
• 3M-P1 PO3 Describe a real world situation that is
  depicted by a given graph.
• Teachers plan and design effective learning
  environments and experiences supported by
  technology.

4
PerimeterArea Review

• Perimeter and area on a Geoboard
• How are perimeter and area related.
• Virtual Geoboard

5
The Problem

• Helen is going to fence off a rectangular garden
  in her back yard. She has 40 feet of fence in 1
  foot segments.
• What different sizes of gardens are possible?
  Which size would enclose the largest area? The
  smallest area?

6
Task 1

• Create a Word.doc of an engagement section for a
  lesson plan built around the task of solving this
  problem
• Save that doc to the
• CLCC 211 Class Zambo
• Remember to have your name in the file name.

7
Task 1 continued Engagement

• Purpose
• To capture students interest and motivate them
  to learn
• To set the context for the math that is to follow
• Contains (for our purposes)
• Dialogue (in italics)
• Stage Directions

8
Sharing Engagement Ideas
9
Task 2

• Create a spreadsheet that enables you to
• Enter a set perimeter for a rectangular region
• Enter a variety of widths
• And then
• Calculates the length
• Calculates the area
• Graphs the results

10
Question

• Do you think the typical middle school student
  would be able to produce this type of spreadsheet
  on their own?
• Given it is unlikely that most would be able to,
  how could you enable them to do the analysis
  using a spreadsheet?

11
Answer

• Provide them with a template.
• A spreadsheet created by you that they only need
  to enter data into.
• A TEMPLATE
• Go to MyASU-EED 380-Lesson Plan

12
How to Use the Template

• Adjust (if necessary) the perimeter by changing
  the value in the top row.
• Enter a series of numbers for the width starting
  with zero and ending when the length equals zero.
• Adjust the length of the spreadsheet by dragging
  down or clearing excess rows.
• Click on Chart 1 to see a graph of the results.

13
Task 3

• Use the spreadsheet to solve the problem.
• Helen is going to fence off a rectangular garden
  in her back yard. She has 40 feet of fence in 1
  foot segments.
• What different sizes of gardens are possible?
  Which shape would enclose the largest area? The
  smallest area?

14
Solutions
15
Task 4

• Go to the discussion board for this course in
  myASU (yourASU)
• Respond to the question about the graph of the
  data.
• After you have read several responses, choose two
  you think are good questions and add them to your
  file in the folder
• CLCC211 Class Zambo

16
Graph Questions
17
For Next Week

• For next week, I would like you to complete a
  lesson plan for the activity we have been
  discussing today.
• Use the standards and the problem from the
  Powerpoint.
• Use the engagement that you have already written
• Incorporate your questions about the graph into
  the procedures section.