These pages are dedicated to the teachers in I-MATH. In this course, the teachers each create a project for their students. The following is a project completed by one of our I-MATH teachers.

DESCRIPTION:

In this project, you and your group members will work together in coming up with creating & drawing your own city/town. You will use what you have learned in the last couple chapters and incorporate it into this project. At the end of the project your group will do a presentation on what you have created.

TASKS:

1. Come up with a name for the town you will be creating/drawing

2. Think of the approximate size of the town as far as population and geographical size.

3. Create a drawing of a map which includes any stores, streets, supermarkets, schools, clubs, homes, churches, parks, etc. that you would want to have in your town. Be sure to think of all the possible places that any town needs in order to survive. You may want to start with a rough sketch before you work on your final drawing.

4. A written paper which describes: (You should have three seperate paragraphs. Report should be about a page in length.)

a. A brief description of where your town/city. Some things to consider would be population size, where is it located, types of jobs, schools, etc. (10 points)

b. Describe how your group came up with the city/town name and how you came about the decisions on what to include in your town/city. (10 points)

c. What you liked or disliked about the project? How did you and your group members come up with your decisions? Was it difficult to make group decisions? What you would do the next time if could change things?

(5 points)

HOW YOU WILL BE GRADED?

1. Participation:10 points

2. Writen Paper: 30 points

3. Drawings of Your City/Town: 30 points

Creativity

Neatness

Use of Geometry Concepts

4. Presentation of your City/Town:30 points

TOTAL: 100 points

DIRECTIONS: You are trying to re-do your bathroom shower. You plan to put in new ceramic tiles to replace the old damaged shower walls. Given the dimensions of the shower walls, you will have to calculate the number of tiles needed & the total cost of the ceramic tiles.

Scenario:

1. The three walls have dimensions of 9 ft long by 5 ft. high and two walls which are 4 ft long by 5 ft high.

Wall #1 Wall #2 Wall #3

2. The ceramic tiles comes in a shape of a square of two sizes: 4 in. x 4 in or 5 in. x 5 in.

3. The cost of the ceramic tiles are $0.25 per tile for the 4 in. by 4 in. tiles. The cost of the 5 in. by 5 in tiles cost $0.30.

Answer the following questions. Be sure to show your work or credit will not be given. (20 points)

1. Convert the length of the tile walls into inches. This will help you determine how many tiles you will need.

2. Figure out how many ceramic tiles will be needed for the 4 in. by 4 in. tiles and the 5 in. by 5 in. tiles.

3. Calculate the total cost or the tiles you will need for the 4 x 4 in. tiles and the 5 x 5 in. tiles.

4. If tax was 4%, what would be the total cost for the 4 x 4 in. tiles and the 5 x 5 in. tiles.

5. Which ceramic tile is a better buy? How much would you save?

How you will be graded?

Computations to Questions 1-5: 20 points

Written Report which includes the following: 20 points

a. Statement of Problem

b. Solution and decision to the problem

c. How your group went about solving this problem? Be specific.

d. What other expenses might there be in doing this home improvement project?

e. What are some other jobs or real life situations in which you feel you may use conversions? Be specific and explain in detail.

Drawing of a design of your ceramic tile:10 points

a. Creativity

b. Neatness

Participation:10 points

Total Possible: 60 points

DIRECTIONS: In groups of 3 of 4, your task will be to figure out how much paint is required to paint the classroom given the dimensions of the various objects on the walls of this class. Also, you will create and decorate your own drawing of the class by adding any other features to them. Use color to add to your drawing. Show your work to get full credit. Be careful, some objects appear more than once on one wall.

Finding the Area (20 points)

A. Front Wall_______________

Clock______________

Speaker_______________

Chalkboard______________

Total Area to be Painted______________

B. Back Wall_______________

Fan (2)______________

Bulletin Board (2)_______________

Poster_______________

Total Area to be Painted______________

C. Left Wall_______________

Windows (8)_______________

Bookshelf (2)_______________

File Cabinets (2)_______________

Total Area to be Painted_______________

D. Right Wall_______________

Door_______________

Cabinet (2______________

Bookshelf_______________

Window (4)_______________

Total Area to be Painted_______________

II. Questions: Don't forget to label your answers! Show Work! (40 points total)

1. What is the total area to be painted on all four walls? (in feet) (4 points)

2. Assuming that 1 gallon of paint can cover 200 square feet, how many gallons of paint will you need? (4 points)

3. One gallon of paint costs $19.99 each.

a. How much money would you spend buying paint? (3 points)

b. How much would it cost if there was 4% tax? (3 points)

4. You find a deal that says "2 pack of 1 gallon paint costs $29.99

a. How much will it cost in the cheapest possible method to paint all four walls? Do not include tax! Explain your answer. (3 points)

b. How much would you save by buying 2 pack gallons of paint for $29.99 vs. 1 gallon buckets of paint for $19.99? Do not include tax? (3 points)

5. What are some other possible costs (equipment, materials, etc) that have not been accounted for in this activity that would be needed to complete this project? Write a paragraph stating what you think would have added to the final cost of painting this classroom? (4 points)

6. Assuming that a person can paint at a speed of 250 sq. feet in one hour, how many hours would it take a person to complete this job? (3 points)

7. a. What other tasks could cause this job to take longer? (3 points)

b. What do you believe would be a reasonable time frame to finish this task? Explain. (3 points)

c. Do you think that one person could complete this job on his/her own? Explain. (3 points)

8. What other things in the real world might you use area and perimeter formulas? List at least 5 things. (4 points)

III. Your third task is to create your drawing of your own classroom. You should enlarge the picture I have of the class so at least one wall covers a full page. Use color and be creative on what you may want to include in the classrom walls. (30 points)

IV. Your group will then present your project to the rest of the class. See grading sheet for more detail. (20 points)

Grading Sheet for Painting the Classroom Project

Decorating Your Own Class-Make a larger drawing of all four walls and decorate the classroom with colors or anything else you may want.

DIRECTIONS: Your job as an interior decorator is to best organize the room with all of the following furniture items. The area measure of each furniture item is given in centimeters. Be creative when making your design. Add color to enhance your design.

1. Lamp Table: 4 cm2

2. Sofa: 12 cm2

3. Coffee Table:10 cm2

4. End Tables (2):2 cm2 each

5. Computer Desk: 2 cm2

6. Bookcase: 12 cm2

7. Big Screen TV: 8 cm

8. Stereo: 14 cm2

9. Arm Chair (2): 9 cm2 each 10. Pool Table: 36 cm2 1

10. Plant Stands (2): 4 cm2 each

11. Computer Chair:

What's the Big Idea?

Your goal is to set up the family room in a comfortable and practical way that would provide the maximum amount of walk space for the room The furniture items can be designed in any polygonal shape as long as each furniture's area remains the same. For example: the bookcase (area=12 cm2) can be 3 x 4, or 2 x 6, or 12 x 1, or a polygon measuring 12 cm2.A sample is attached to give you an idea.

Let's Give it a Try!

Use two copies of the family room grid (20 x 17) to explore the many different ways to design the room You'll use one grid to design the furniture and the other grid to set up the room.

Here are some things to think about as you devise your plan... (Answer these questions)

1. What is the total area of the family room? (in cm2 and ft2)

2. What is the total area of all the furniture items put together?

3. How can you design the computer chair so that it is shaped not like a square? (Remember to keep the area to exactly 4 cm2)

4. If you design the pool table (area= 36 cm2) in a 3 x 12 shape, would its perimeter be larger, smaller, or equal to a shape of 4 x 9 or even 6 x 6? Would this concept be important to setting up your family room? Why or why not?

5. If you had to pack up the Big Screen TV (height of 4 ft), what size packing box would you need to get? What would the volume (length x width x height) of the box be? Would the volume depend on how you designed the area of the TV?

Results: Write your answer in paragraph form.

1. After you finish designing your furniture and arranging the family room, explain what you did to complete your task.

2. What worked and what didn't work?

3. What is the total area available for walking space?

4. How did the concepts of area and perimeter help you? How can you use this concept in the future?

DIRECTIONS: Pretend you have won $25,000 tax free to finance a dream bedroom. You may purchase clothes to fill your closet. You must spend the $25,000 on items of your choice. All the items must fit in a 25 ft by 25 ft bedroom.

Students will:

Use newspaper ads, catalogs, internet, or store quotes to find items to design their bedroom.

Record purchases and itemize costs, keeping a running total.

Draw a scale model of their bedroom, making sure that all items will fit in the room

Find a solution that comes close to $25, 000 but not exceeding this amount.

Construct their dream bedroom using various resource materials.

Guidelines to follow:

1. You will ignore sales tax. The money is tax free.

2. Your goal is to spend as much of the $25,000.

3. Allow lots of time to work on this project---$25,000 is a great deal of money to spend.

4. Your $25,000 Dream Bedroom Tally Sheet must be neat and organized. It should be accurate and should show effort. You may need more than one tally sheet.

5. A scale model of your bedroom showing the location of your purchases must be included with a clipping, drawing, or description of each item.

6. Your construction of your bedroom should be a scaled version of the actual size bedroom which is 25 ft by 25 ft. Dream Bedroom Contest Grading Sheet

Scale Drawing(Floor Plan): 50 Points

• Accuracy of drawing:10 Points

• Color: 10 Points

• Neatness: 10 Points

• Organization:10 Points

• Creativity:10 Points

Bedroom Tally Sheet: 60 Points

• Sources Cited/Description:10 Points

• Neatness/Organizatio: 20 Points

• Accuracy of amount spent: 20 Points

• Budget close to alloted amount:10 Points

Constructed Model of Bedroom: 100 Points

• Accurate comparison to floor plan: 40 Points

• Neatness/Organization: 20 Points

• Use of various resources: 10 Points

• Uniqueness: 20 Points

• Performance compared to class:10 Points

Reflection of Project (1-2 pages): 40 Points

• Questions Answered: 20 Points

• Brief Description of Bedroom: 20 Points

Total Possible: 250 Points

Reflection Upon Project

Reflect on the following...

1. Give a brief description of your bedroom. What you bought and why you bought it? Why you designed it the way you did?

2. What do you feel was the most difficult part about completing this project?

3. What did you enjoy most about this project?

4. What did you learn from this project?

5. What would you do better if you could make changes the next time?

6. What could Mr. Kawamura have done to make this project better? Be honest.

---

Teacher Summary and Reflections

---

Back to Table of Contents

---