Area and Perimeter

Introduction

Congratulations!  You and your partner have been hired to design a dream house.

Task

To get ready for this special assignment, you and your partner must be sure that you have the skills that you, the architects, will need. A solid understanding of area and perimeter is required. Once you show mastery through classwork, you will design and draw the floor plan for your dream house. Then you will determine what type of flooring you need to suit certain rooms and how much fencing you will need to go around your yard to make sure your dog doesn't get away while you're at school. Your final product will be a floor plan of your dream house.

Process

At the computer:

Click on Area Explorer

  1. Read the directions carefully.
  2. Practise finding the area of several figures.
  3. Copy your favourite figure on graph paper. Label its area. 

Go to Perimeter Explorer

  1. Read everything CAREFULLY.
  2. Practise finding the perimeter of several figures.
  3. Copy your favourite figure on graph paper. Label its perimeter. 

Go to House Design

  1. Watch and assist the builders as they work out the perimeter and area of the rooms in Anna's house.

Still need a little more practice? Head to Perimeter and Area

  1. Carefully read the explanations and instructions.
  2. Complete Level 1 of the Perimeter and Area questions.

Fast Finisher? Feeling confident? Click on the Zoo Challenge or Party Challenge.

 

Congratulations! You are now an official Dream Designer Architect! 

At home:

  • Measure the length and width of your bedroom and one other room in your house.  Record your measurements to the nearest metre. (You are welcome to borrow a tape measure from school if you need!)
  • Calculate the area and perimeter of the 2 rooms you measured.

In the classroom with your partner:

Planning and designing:

  1. Compare the measurements you gathered at home.
  2. Make a list of the rooms you would need to include in your dream house.
  3. List the extra rooms you would like to include in your dream house.
  4. Draw a rough sketch of your floor plan, considering where certain rooms would be placed. Your house will need to be on one level and no larger than 400 square metres.
  5. Consider which rooms would need to be larger than others. Be able to justify why.
  6. Show and discuss your plan with one other pair and Mrs Allum.

Designing and making:

  1. Once you are happy with your plan, draw your design on 1cm grid paper. Remember (1cm = 1m). 
  2. Include one room that has an area of 12 square metres and another room that has a perimeter of 14 metres.
  3. Colour code your rooms to show those which would need carpet and those needing another type of flooring (eg. tiles).
  4. Calculate the area of each room that would need carpet. Add these together to find the total area of carpet needed.
  5. Draw a fence around the backyard. Work out how much fencing you will need by working out the perimeter.

Going a step further:

  1. Investigate how much carpet costs in order to work out the expense of placing carpet in the rooms of your house.
  2. Investigate the cost of fencing and work out the total price of your building your backyard's fence.
Evaluation

Sharing your design

Share your design with the class. Be prepared for your teacher to ask you questions about the process of creating your design and your thinking along the way. 

Evaluating others' designs

Stick your design on the display board. On a post it note, write "2 Stars and a Wish" for another group's design. Post it on their work.

Reflecting on your design

If you were to complete this task again:

What would you keep?

What would you try?

What might you change?

Conclusion

CONGRATULATIONS again! You have used your knowledge of measurement, area and perimeter to design your very own dream house.  You have also used your artistic ability to share it with your classmates. 

Who knows? This may be the beginning of a new career...

Credits

Images:

http://ericmnestor.com/wp-content/uploads/2013/02/Thinking.jpg

http://4.bp.blogspot.com/-oDRF-fyiyok/TjHKIg8EmLI/AAAAAAAAAaM/qK3SwM_DGJc/s400/post-it+note.jpg

http://cdn.designhome.pics/design/www.cedardesigns.com/house-plans/top-house-plans/architectural/Floor-Plans/heron.jpg

https://hellopretty.co.za/sites/hellopretty.co.za/files/styles/product_large_680x454/public/products/awesomeness.jpg?itok=2wUAC_Q_

Sites:

http://www.shodor.org/interactivate/activities/AreaExplorer/

http://www.shodor.org/interactivate/activities/PerimeterExplorer/

http://www.learnalberta.ca/content/mesg/html/math6web/index.html?page=lessons&lesson=m6lessonshell12.swf%20

http://www.mathplayground.com/PartyDesigner/PartyDesigner.html

http://mrnussbaum.com/zoo-play/

Design:

https://www.createwebquest.com/

I did not create this idea, I merely adjusted the activities to fit the needs of my students.

Teacher Page

This Problem Based Learning Activity is designed for students to work in pairs at their own pace. The teacher's primary role is to facilitate and guide students as they work through the project, asking questions so students are aware of the thinking process along the way. Prior to undertaking this project students should have achieved sufficient skills and knowledge in the concepts of length, area, perimeter, addition and multiplication.