Within the first week of school I will ask my class to become independent contractors. I need to hire a team to tile the shower in my bathroom. Teams will complete to win the contracting job. In order to win the bid proposals must include area of space to be tiled, cost of tiles, list of other materials needed, cost of other materials, cost of labor, timeline to have tiling job complete, and total cost to have shower tiled. Throughout designing the proposal, students must examine the process of tiling a shower wall, justify their choices in materials, and investigate the cost of labor for this type of work. Along the way, students will visit home improvement stores or their websites to look for materials and compare costs, search the web for reliable instructions on how to tile, and investigate the going labor rate for home improvement contractors either online or through interviews. Students will create an informative and persuasive sales pitch to the other students who will act as the client. Their presentations will vary depending on interest. Groups might use PowerPoint, Prezi, Keynote, Glogster, or Vuvox. A rubric will explicate key learning outcomes. I expect this project to last one week. Students will work on it three times in class and outside of class. The following one of two days will be presentation days.

Framework
4. Q: Using one core concept, what real life contexts and other subjects can be incorporated?
A: Area
Theatre: set design
Visual Art: surface area

5. Q: Incorporate Bloom’s Taxonomy to push past rote learning.
A: Examine the process of tiling a shower wall. Justify your choices in materials. Design a proposal to bid for tiling job. Investigate the cost of labor and formulate a method for how you will charge for labor.

6. Q: Authentic interactions and 21st century skills
A: Collaboration within team. Use the internet to locate "How to" videos or tutorials, home improvement websites, and labor costs for local contractors. Create a presentation with PowerPoint, Prezi, Keynote, Glogster, or Vuvox. Compare product info to determine best product. Determine if websites are reliable. Talk with Home Depot or Lowes employees to learn about which materials are best and why.

7. Q: Students’ interests?
A: Competition for best proposal. Students will be the judge. Remodeling is common anyone's home.

NCTM Standards 1. Numbers and Operations Compute fluently and make reasonable estimates
judge the reasonableness of numerical computations and their results.

2. Geometry Use visualization, spatial reasoning, and geometric modeling to solve problems
draw and construct representations of two- and three-dimensional geometric objects using a variety of tools
use geometric ideas to solve problems in, and gain insights into, other disciplines and other areas of interest such as art and architecture

3. Measurement Understand measurable attributes of objects and the units, systems, and processes of measurement
make decisions about units and scales that are appropriate for problem situations involving measurement Apply appropriate techniques, tools, and formulas to determine measurements
understand and use formulas for the area, surface area, and volume of geometric figures, including cones, spheres, and cylinders

4. Problem Solving Instructional programs from prekindergarten through grade 12should enable all students to—

Build new mathematical knowledge through problem solving

Solve problems that arise in mathematics and in other contexts

Apply and adapt a variety of appropriate strategies to solve problems

Monitor and reflect on the process of mathematical problem solving

5. Reasoning and Proof

Recognize reasoning and proof as fundamental aspects of mathematics

Make and investigate mathematical conjectures

Develop and evaluate mathematical arguments and proofs

Select and use various types of reasoning and methods of proof

6. Communication

Organize and consolidate their mathematical thinking through communication

Communicate their mathematical thinking coherently and clearly to peers, teachers, and others

Analyze and evaluate the mathematical thinking and strategies of others;

Use the language of mathematics to express mathematical ideas precisely.

7. Connections

Recognize and use connections among mathematical ideas

Understand how mathematical ideas interconnect and build on one another to produce a coherent whole

Recognize and apply mathematics in contexts outside of mathematics

8. Representation

Create and use representations to organize, record, and communicate mathematical ideas

Select, apply, and translate among mathematical representations to solve problems

Use representations to model and interpret physical, social, and mathematical phenomena

iste National Education Technology Standards for Students (NETS-S)

1

Creativity and Innovation

Students demonstrate creative thinking, construct knowledge, and develop innovative products and processes using technology. Students:

a. apply existing knowledge to generate new ideas, products, or processes.

2

Communication and Collaboration

Students use digital media and environments to communicate and work collaboratively, including at a distance, to support individual learning and contribute to the learning of others. Students:

a. interact, collaborate, and publish with peers, experts, or others employing a variety of digital environments and media. b. communicate information and ideas effectively to multiple audiences using a variety of media and formats. d.contribute to project teams to produce original works or solve problems.

3

Research and Information Fluency

Students apply digital tools to gather, evaluate, and use information. Students:

a. plan strategies to guide inquiry. b. locate, organize, analyze, evaluate, synthesize, and ethically use information from a variety of sources and media. c. evaluate and select information sources and digital tools based on the appropriateness to specific tasks. d. process data and report results.

4

Critical Thinking, Problem Solving, and Decision Making

Students use critical thinking skills to plan and conduct research, manage projects, solve problems, and make informed decisions using appropriate digital tools and resources. Students:

a. identify and define authentic problems and significant questions for investigation. b. plan and manage activities to develop a solution or complete a project. c. collect and analyze data to identify solutions and/or make informed decisions. d. use multiple processes and diverse perspectives to explore alternative solutions.

5

Digital Citizenship

Students understand human, cultural, and societal issues related to technology and practice legal and ethical behavior. Students:

a. advocate and practice safe, legal, and responsible use of information and technology. b. exhibit a positive attitude toward using technology that supports collaboration, learning, and productivity. c. demonstrate personal responsibility for lifelong learning. d. exhibit leadership for digital citizenship.

6

Technology Operations and Concepts

Students demonstrate a sound understanding of technology concepts, systems, and operations. Students:

a. understand and use technology systems. b. select and use applications effectively and productively. c. troubleshoot systems and applications. d. transfer current knowledge to learning of new technologies.

Evidence of Understanding
Students will create and present a proposal for their company to tile my bathroom shower. In order to win the bid proposals must include area of space to be tiled, cost of tiles, list of other materials needed, cost of other materials, cost of labor, timeline to have tiling job complete, and total cost to have shower tiled.

Project Theme or Challenge
Each group is an independent contracting company and they are completing to win the bid for my bathroom tiling job.

Introduction to Project
Students ask parents if they have had something remodeled in their house and how they choose the contractor. Show a picture of rooted wall if I don’t tile my shower wall. Show pictures of my shower.

## Project Sketch #1 Tile My Bathroom Shower

11th grade Algebra 2 class

Within the first week of school I will ask my class to become independent contractors. I need to hire a team to tile the shower in my bathroom. Teams will complete to win the contracting job. In order to win the bid proposals must include area of space to be tiled, cost of tiles, list of other materials needed, cost of other materials, cost of labor, timeline to have tiling job complete, and total cost to have shower tiled. Throughout designing the proposal, students must examine the process of tiling a shower wall, justify their choices in materials, and investigate the cost of labor for this type of work. Along the way, students will visit home improvement stores or their websites to look for materials and compare costs, search the web for reliable instructions on how to tile, and investigate the going labor rate for home improvement contractors either online or through interviews. Students will create an informative and persuasive sales pitch to the other students who will act as the client. Their presentations will vary depending on interest. Groups might use PowerPoint, Prezi, Keynote, Glogster, or Vuvox. A rubric will explicate key learning outcomes. I expect this project to last one week. Students will work on it three times in class and outside of class. The following one of two days will be presentation days.

Framework4. Q: Using one core concept, what real life contexts and other subjects can be incorporated?

A: Area

Theatre: set design

Visual Art: surface area

5. Q: Incorporate Bloom’s Taxonomy to push past rote learning.

A: Examine the process of tiling a shower wall. Justify your choices in materials. Design a proposal to bid for tiling job. Investigate the cost of labor and formulate a method for how you will charge for labor.

6. Q: Authentic interactions and 21st century skills

A: Collaboration within team. Use the internet to locate "How to" videos or tutorials, home improvement websites, and labor costs for local contractors. Create a presentation with PowerPoint, Prezi, Keynote, Glogster, or Vuvox. Compare product info to determine best product. Determine if websites are reliable. Talk with Home Depot or Lowes employees to learn about which materials are best and why.

7. Q: Students’ interests?

A: Competition for best proposal. Students will be the judge. Remodeling is common anyone's home.

8. Q: Learning dispositions

A: Curiosity, cooperation, persistence, courage, self directedness, ambition

NCTM Standards1. Numbers and OperationsCompute fluently and make reasonable estimatesjudge the reasonableness of numerical computations and their results.

2. GeometryUse visualization, spatial reasoning, and geometric modeling to solve problemsdraw and construct representations of two- and three-dimensional geometric objects using a variety of tools

use geometric ideas to solve problems in, and gain insights into, other disciplines and other areas of interest such as art and architecture

3. MeasurementUnderstand measurable attributes of objects and the units, systems, and processes of measurementmake decisions about units and scales that are appropriate for problem situations involving measurement

Apply appropriate techniques, tools, and formulas to determine measurementsunderstand and use formulas for the area, surface area, and volume of geometric figures, including cones, spheres, and cylinders

4. Problem SolvingInstructional programs from prekindergarten through grade 12should enable all students to—5. Reasoning and Proof6. Communication7. Connections8. Representationiste National Education Technology Standards for Students (NETS-S)1Creativity and Innovation2Communication and Collaborationb. communicate information and ideas effectively to multiple audiences using a variety of media and formats.

d.contribute to project teams to produce original works or solve problems.

3Research and Information Fluencyb. locate, organize, analyze, evaluate, synthesize, and ethically use information from a variety of sources and media.

c. evaluate and select information sources and digital tools based on the appropriateness to specific tasks.

d. process data and report results.

4Critical Thinking, Problem Solving, and Decision Makingb. plan and manage activities to develop a solution or complete a project.

c. collect and analyze data to identify solutions and/or make informed decisions.

d. use multiple processes and diverse perspectives to explore alternative solutions.

5Digital Citizenshipb. exhibit a positive attitude toward using technology that supports collaboration, learning, and productivity.

c. demonstrate personal responsibility for lifelong learning.

d. exhibit leadership for digital citizenship.

6Technology Operations and Conceptsb. select and use applications effectively and productively.

c. troubleshoot systems and applications.

d. transfer current knowledge to learning of new technologies.

Evidence of UnderstandingStudents will create and present a proposal for their company to tile my bathroom shower. In order to win the bid proposals must include area of space to be tiled, cost of tiles, list of other materials needed, cost of other materials, cost of labor, timeline to have tiling job complete, and total cost to have shower tiled.

Project Theme or ChallengeEach group is an independent contracting company and they are completing to win the bid for my bathroom tiling job.

Introduction to ProjectStudents ask parents if they have had something remodeled in their house and how they choose the contractor. Show a picture of rooted wall if I don’t tile my shower wall. Show pictures of my shower.

Slide show