How Does Math Build a House?

by Jeannette Babiak, Lou Peterson, Bill Schiesler

Introduction

Anchor Video

Concept Map

Project Calendar

Lesson Plans

Letter to Parents

Assessments

Resources

Modifications

Grant

How Math Builds a House Grant Proposal

 

Project Directors:  Jeannette Babiak, Lou Peterson, Bill Schiesler

Total Budget:  $2,517.57

 

 

     The need for students to experience mathematics in a contextualized way is becoming more apparent as student ability to apply mathematics in real-life situations is critically deficient.  Our project integrates the use of mathematics with the real-life task of designing and building a house.  Throughout this unit, students have the opportunity to design a home within given parameters such as budget, family size and cost of living, among others.  Students will utilize math concepts from Algebra and Geometry to develop and implement their design. 

     Speakers from the community will visit the classroom to give students feedback on their work.  Guest speakers include a mortgage banker, architect and a home builder.  Students will participate in a field trip to a Habitat for Humanity home build site, to gain first-hand interaction with various facets of building and the people involved in this type of project.

     At the end of the unit, students will evaluate the impact of this project on their perspective of mathematics and the real world.

Project Description

 

     The project will begin with the students thinking creatively, without restrictions, about the type of house that they would like to have built. Once they have something in mind, the students will work in groups of three to form a master plan. Students then are restricted to a budget and must also consider various factors that affect the decision of where to build the house.

     When students have decided where to place the house and have considered the budget, they will then begin to work on a blueprint using SketchUp in the computer lab. Students will have a deadline on this blueprint so that students will be ready for an Architect to come examine their work. The Architect will give students some basic ideas in a lecture and then give groups individual suggestions. Students will then assimilate the suggestions into their blueprints.

     Now students will have to work out flooring and painting costs for their house, while trying to maximize their budget. Students will progress to choosing appliances, plumbing, and types of heating and cooling. Once students have made all of these budgetary decisions, they may want to revise their blueprint so can free up money for areas they found lacking. Students, who have extra time, will add decorations such as artwork and tessellated wallpaper or flooring.

Once all projects have been finished then there will a formal evaluation of the project and there will be peer voting for awards such as, most creative, best decorated, etc.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Rationale

 

Students lack interest in learning mathematics because they don’t believe math affects them. Our project will show students how math is important in everyday life.  Students will improve their interpersonal, mathematical and problem solving skills, while working in groups and with professional members of the community to learn “How math builds a house.”

One of the primary needs for sustaining life is shelter.  Everyone has a place they call home.  Students will engage in discovering how math was used to build their home.  They will calculate perimeter and area in order to find the amount of material needed for different aspects of construction (paint, flooring, etc).  Students will find different volumes and surface areas to make decisions about materials, appliances fixtures and the basic design and how things will fit into designated spaces.  Students will also engage in scaling and proportion while drawing their floor plan and building the model of their house.

Students will interact with professionals from their community by inviting architects, contractors, and engineers to visit the classroom and share their expertise.  This exposes students to different professions that use higher levels of mathematics that might encourage students to learn more.

Students will also be involved in a daylong field trip in which they will visit and work on a local Habitat for Humanity site.  This will give the students an opportunity to use the skills they have learned while also giving back to their community.  This experience is a real world application that includes a chance to volunteer and learn about service. 

Through this project, students will develop an increased belief in their ability to do math, improve their proficiency with group interactions and communications skills. As students become more confident in their mathematical abilities, they may be more likely to be open to continuing their math education, which will benefit us all.

 

 

 

 

 

 

 

 

Potential Impact

 

Every year each teacher will have a hundred students or more in his or her collective classes.  Each of these students will be positively impacted by the project “How does math build a house?”  The will gain communication and negotiation skills while working with their group of peers to meet each goal.  By learning more about different careers that are available in mathematics, there is the potential that these students may become interested in these roles.  This could eventually impact any one that is affected by their future jobs.  The students will also impact their community when they volunteer at Habitat for Humanity as part of their project assignment.  This service project could possibly stimulate the students to volunteer in the future and as the possibility to affect thousands.  Each year this project is taught, a hundred more students are turned on to giving of themselves while also using math to build a home for someone who needs one.  This is impact.

 

 

 

 

 

 

Evaluation Plan

     The success of this project depends entirely on how it impacts student perceptions of mathematics.  Most students traditionally think of mathematics as an isolated subject, with few connections to real-world applications.  If students are able to see that mathematics played a crucial role in solving real-world problems throughout their project, then we can consider the unit a success.  Students will be asked to evaluate their perspectives on mathematics prior to the beginning of the project and then again at the end of the unit.  Their responses will be gathered and evaluated to determine the project’s success.

 

 

 

 

 

 

 

 

 

 

 

 

Project Calendar

 

Week 1

Day 1 - Introduction to unit and unit project.  Assign group budgets.

Day 2 – Computer lab day: exploring resources for project.

Day 3 – Guest Speaker: Mortgage Banker.  

Day 4 – Lesson:  Review of scale drawings and proportions. Day 5 – Library day: blue print and house plan exploration.  Cost of living, weather and crime research.

 

Week 2

Day 1 – Lesson:  Review of Pythagorean Theorem.

Day 2 – Lesson:  Review perimeter and area.  Area of irregular lots.

Day 3 – Lesson:  Shapes on the coordinate grid.  Placing house footprint on lot.

Day 4 – Lesson:  Introduction to surface area and volume.

Day 5 – Computer lab day:  Exploring area and volume with applet.

 

Week 3

Day 1 – Lesson:  Surface area and volume continued.

Day 2 – Work day:  Finding surface area of wall space and floor space for paint and flooring costs.  Finding perimeter of trim.

Day 3 – Lesson:  Surface area and volume continued.

Day 4 – Work day:  Finding volume of rooms and other areas.

Day 5 – Guest Speaker:  Architect.

 

Week 4

Day 1 – Computer lab day:  Find pricing for HVAC systems, appliances, toilets, tubs, sinks.

Day 2 – Lesson:  Transformations, day 1

Day 3 – Lesson:  Transformations, day 2

Day 4 – Lesson:  Transformations, day 3

Day 5 – Work day:  Make final changes to house plans.

 

Week 5

Day 1 – Lesson:  Tessellations – incorporating artwork.

Day 2 – Work day:  Incorporating tessellations into tiling patterns for home.

Day 3 – Work day:  Final budget reviews.  Any room for luxury upgrades?

Day 4 – Computer lab day:  Microsoft Excel  (summaries of areas, material costs)

Day 5 – Guest Speaker:  Home Builder.

Week 6

Day 1 - Computer lab day:  Final floor plan drawings.

Day 2 - Computer lab day:  Groups work on written report.

Day 3 - Work day:  Groups work on scale model, brochure, Day 4 – Student Presentations

Day 5 – Student Presentations

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Budget

Item Description

 

Unit Price

Quantitiy

Total

SketchUp(3-year site license)

$30.00

30

$900.00

Balsa wood(Package of 25,1/16"x6"x36")

$82.50

6

$495.00

Corrugated cardboard(36"x48")

$1.72

100

$172.00

Exacto knives

 

$4.80

30

$140.00

Cutting boards(1/4"x9"x12")

$13.99

30

$419.00

Carpenter's interior wood glue(1 Gallon)

$17.49

3

$52.47

Carpenter's interior wood glue(16 oz.)

$5.49

10

$54.90

Protractors

 

$1.99

30

$59.70

Rulers

 

 

$1.69

30

$50.70

Graph paper(500 count)

$5.95

4

$23.80

Consultant Fee(Architect)

 

 

$150.00

 

 

 

 

 

 

Total

 

 

 

 

$2,517.57

 

 

 

 

 

 

Contribution by School

 

 

 

Computer lab

 

 

 

 

Microsoft excel

 

 

 

 

Microsoft World

 

 

 

 

Microsoft Publisher

 

 

 

 

Internet connection

 

 

 

 

Class set of calculators

 

 

 

 

 

 

 

 

 

All prices are are discounted for educational and bulk rates when available.

 

 

 

 

 

 

 

Jeannette Babiak

 

6427 Ruxton Ln

Austin, Texas 78749

 

Phone:  (512) 913-4754

Email:  jbabiak@austin.rr.com

 

 

Education

 

The University of Texas at Austin

  • June 1998 – B.A., Psychology with a special interest in Child and Adolescent Psychology.
  • Currently seeking Secondary Mathematics Teaching Certification through UTeach program.

  

 

Teaching Experience

 

Crockett High School, Fall 2005.  Taught three fifty minute lessons on consecutive days in a ninth-grade Pre-AP Algebra I Honors class.

 

McNeil High School, Fall 2005.  Taught two hour and a half lessons in a ninth grade regular Algebra classroom.

 

Crockett High School.  Spring 2005.  Team taught three fifty minute lessons on consecutive days in a mixed-grade Geometry class.  Team taught a fourth fifty minute lesson in the same mixed-grade Geometry class.

 

Kealing Middle School.  Fall 2004.  Team taught three single-day, fifty minute lessons in an eighth grade Algebra I Honors class.   

 

 

Work Experience

 

Teaching Assistant                     Aug. 2005 – Present

UTeach Program at the University of Texas at Austin

Responsible for assisting professor and students with in-class activities.  Responsible for grading homework assignments and laboratory assignments.

 

Child Protective Services Specialist  Jul. 1997 – Feb. 1999

Texas Department of Protective and Regulatory Services

Served as a conservatorship caseworker for abused and neglected children who were in the custody of the State of Texas.

 

Administrative Assistant              Jun. 1995 – Jul. 1996

BRON Research

Processed flood certifications for a flood compliance consulting firm.  Performed data entry, filing, telephone customer service, faxing, and quality control functions.

 

 

Office Manager                                  Oct. 1992 – Mar. 1996

Clyde Bennett and Associates

Performed as the sole individual responsible for running the day to day business affairs of a small computer consulting firm.  Implemented paper and paperless filing systems; responsible for accounts receivable (including billing and collections), accounts payable (including business tax reporting), and payroll (including payroll tax reporting); responsible for purchasing of inventory; customer service duties; performed some customer training on PC applications; prepared customer proposals and quotations.

 

Administrative / Clerical Assistant      Sep. 1993 – Jan. 1994

Alffran International, Inc.

Provided administrative support for an overseas water purification engineering company.  Organized technical equipment information and entered it into a database.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Lou Peterson

 

2800 Bartons Bluff Ln #601

Austin, Texas 78746

 

Phone:  (254) 931-5028

Email:  loup@mail.utexas.edu

 

 

Education

 

The University of Texas at Austin

  • June 2001 – B.S., Radio/Television/Film with a special interest in Business
  • Currently seeking Secondary Mathematics Teaching Certification through UTeach program.

  

 

Teaching Experience

 

Crockett High School, Spring 2005.  Taught three fifty-minute lessons on consecutive days in a ninth-grade Geometry Honors class.

 

McNeil High School, Fall 2005.  Taught two hour and a half lessons in a ninth grade regular Algebra classroom.

 

Ridgeview Middle School.  Spring 2005-Fall 2005. Taught weekly hour long lessons on Mathematics and Science topics to Eighth grade Girlstart club.

Porter Middle School.  Fall 2004.  Team taught three single-day, fifty minute lessons in an seventh grade mathematics class.   

 

 

Work Experience

 

Girlstart Team Leader             Feb. 2005 – Present

UTeach Internship through the University of Texas at Austin

Responsible for leading an eighth grade Girlstart club weekly at Ridgeview Middle School.

www.girlstart.org

 

Server                            Aug. 1998 – Present

Chuy’s Hula Hut

Restaurant responsibilities, customer service

 

Junior Sales Executive            Sept. 2002– Aug. 2004

Matchframe Video in Burbank,CA

Worked in the sales area of a high volume post production company.  Incharge of billing and quoting rates for clients as well as overseeing the post porduction process of each project.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

William Schiesler

11929A Sunhillow Bend

Austin, TX 78758

512-837-9714

willbds@yahoo.com

 

Education

 

Spring 2003 – present: Currently seeking  B.S. in Mathematics with a secondary teaching option at The University of Texas.

 

 

Teaching Experience

 

Spring 2003:  Blanton Elementary School (Austin, TX)

 Team-taught three 50 minute 3rd  grade math lessons.

 

Spring 2003:  Martin Middle School (Austin, TX)

 Team-taught three 50 minute 6th grade honors math lessons.

 

Spring 2004:  Crocket High School (Austin, TX)

 Team-taught two three day geometry AP lessons.

 

Fall 2005:  Dripping Springs High School (Dripping Springs, TX)

 Taught two one day Algebra II lessons.

 

 

Work experience

 

Fall 1997-present: Server/Manager - Mesa Rosa Mexican Restaurant, Austin TX

Duties include overseeing restaurant staff, customer service, opening or closing restaurant, assisting with scheduling, assisting with private parties and general restaurant preparation.