Introduction
You are moving into a brand new home! All desgined by you. This is where your family will live for many years, so you must make sure everything is perfect for your love ones. The wife, Sally, wants a chef's kitchen and it must be painted the perfect shade of gray. The husband, Shawn, needs a grand "man cave." Sarah, your teenage daughter, has to have a vanity room inside of her bathroom. Samuel, your son, wants to build his own playground outside. Lastly, you all are expecting a new edition to the family and need to create a nursery for soon to be, Shannon. Make your home your own, afterall, it is for you!
Be Creative!
Task
Are you ready to begin?! Wait! You don't want your family to be upset with you because you got everything all wrong. Let's make sure you are up to the challenge ahead and refresh your skills. You must login to your CK12 Account and complete the practice questions. You may use the videos for each topic to assist you. Each person in your group must complete before moving forward. Submit your scores when complete.
Click here for a quick review of area.
Click here for a quick review of volume.
Click here for a quick review of surface area.
One more thing! Decide which team members will be responsible forthe following roles.
Speaker
- Only member that can ask the teacher questions, must report back to the group.
- Presents the final product.
Leader/Helper
- Keep your team mates on task.
- Be encouraging.
- Assist any of your team mates that need a hand.
Recorder
- Responsible for all writing.
Material Manager/Time Keeper
- Retrieve and return all materials needed.
- Keep your team mates on task.
- Keep track of the time your team has to work.
Process
Step 1: Go to Illustrated Dictionary write the definition and draw an example for each of the following vocabulary terms. You may use a posterboard for this step. One poster per group.
- area
- circle
- cube
- cylinder
- polygon
- quadrilateral
- rectangular prism
- surface area
- three-dimensional (3D)
- triangle
- two-dimensional (2D)
- volume
Step 2: Print the Formula Chart and fill in with the correct area, volume, and surface area formulas for each shape. If a formula does not apply to a specific shape put an X in the box. You may use MathWords to find the formulas. Turn in when complete.
Now you're ready to design!
Step 3: Your house will be one story. The dimensions of the house are as follows:
- length = 54 feet
- width = 30 feet
- height = 9 feet
On your poster draw the dimensions using the scale, 2 inches = 6 feet. (You will only be able to draw the length and width)
Be sure to include on your poster a legend that explains the scale used.
Your home must include 4 bedrooms, 3 bathrooms, living room, dining room, and kitchen. It is up to your group how large or small each room will be. Print and update your Group Activity Sheet with the dimensions of each room.
Step 4: Flooring
The budget for flooring is $12,000.00. Go to Lowe's and pick out your flooring for each room. Remember you're on a budget, so you don't want to get too much or too little materials.
RULES! The bathrooms must have tile flooring. The kitchen may have tile, laminate, or hardwood flooring, but not carpet. The bedrooms, living room, and dining room may be either laminate, hardwood, or carpet, but not tile.
Step 5: Sally's Kitchen
Sally would like her kitchen to be a beautiful gray color of paint. However, Sally only has $70.00 to spend on paint, since she is wanting the most modern appliances. Go to Home Depot and find a gray paint that Sally can afford and will cover her entire kitchen. Your container size must be one gallon. Under the Product Review tab you will find how many square feet one gallon of paint will cover.
NOTE: Sally does not want to paint the ceiling gray, ONLY the walls.
Head back to Home Depot fo the kitchen appliances. Sally's must haves in her kitchen are a refrigerator, stove, dishwasher, and an island. Find the dimensions of these items you would like to have. Will all of these items fit in your kitchen?
Step 6: Shawn's Man Cave
To have the best "Man Cave" on the block Shawn wants to build an entertainment center from ceiling to floor and wall to wall. Answer the following questions on your Group Activity Sheet.
How many feet must the vertical panels be?
How many feet must the horizontal panels be?
Draw your entertainment center in the Group Activity Sheet Packet. Be sure to include your measurments and scale.
However you decide to design your entertainment center be sure to leave enough area empty to fit a 65 inch flat screen TV from Best Buy.
What is the area of the space that is left for the TV?
Step 7: Sarah's Vanity Room
Sarah wants the entire vanity room painted including the ceiling. It is up to your team to decide what color Sarah's vanity room will be. Take another trip to Home Depot for Sarah. Sarah would like the largest circular mirror possible on the wall in front of her vanity desk. Search Overstock for a mirror best for Sarah. Also, Sarah would like the perfect rug to match her vanity room. Here you will find many rugs to choose from.
Step 8: Samuel's Playground
Outside in the backyard Samuel has to have the best playground in the neighborhood. Shawn has already purchased the eight wood panels to consturct the playground. Samuel will need another four panels to complete the structure. Samuel wants his playground to be in the shape of a rectangular prism. To start Samuel has four wood panels that are 8 feet. He places wood panels that are 6 feet between the 8 foot panels. Samuel wants his playground to have a volume of 336 cubic feet.
How many feet must the other four wood panels be?
Samuel wants to create a design on the back frame of his playground. He wants four triangles in the rectangle, two right triangles and two isosceles triangles. The base for the right triangles will be 3 feet. The base for the isosceles triangles will be 5 feet. Answer the following questions of your Group Activity Sheet in The Playground section.
How many feet must the three wood panels be to create the triangles?
What is the area of the right triangles?
What is the area of the isosceles triangles?
Great! Now you're ready to put in your swings and slides. On your poster complete Samuel's playground with some swings and slides, maybe even some monkey bars.
Step 9: Shannon's Nursery
To be fully prepared for the arrival of your newborn you will need to find the perfect nursery furniture collection. Find a collection that will fit all pieces, comfortably, in the nursery. Your neighboor told you that Babies' R Us has the best nursery furniture.
Step 10: Swimming Pool
If your're going to have the best house on the block you'll need a swimming pool. To be the best you need to stand out. We're not going the traditional route for a pool. Your pool will be in the shape of a cylinder. Your swimming pool must have a width of 10.5 feet from edge to edge of the pool. Draw your swimming pool in the back yard. Still use your scale.
How many feet deep do you want your pool to be?
How much water will it take to fill up your pool?
YOUR FAMILY IS ALL READY TO MOVE IN! WELCOME TO THE BEST HOUSE ON THE BLOCK!
YOU'VE WORKED EXTREMELY HARD. CONGRATULATIONS!!
Lastly......
Complete the survey of what you've learned.
Complete the survey of how your team worked together.
Evaluation
Login to Socrative. Use the code Q2NJQJMF5. Complete Area, Surface Area, and Volume quiz.
EVALUATION RUBRIC
Quiz: Area, Surface Area, and Volume. ___/40 points
Definitions ___/20 points
- Clear definitions
- Drawing example
Formula Sheet ___/20 points
- Correct formula for each shape.
Group Activity Sheet ___/50 points
Posterboard ___/40 points
- Neat, colorful, easy to follow.
- Scale
- Measurments
Self Survey ___/15 points
Team Survey ___/15 points
Total Score ___/200 points
Conclusion
Hopefully you and your team have successfully completed the task, asked questions along the way, and now have a deeper understanding of area, surface area, and volume. Through this process it is my hope that you learned how you will apply geometry formulas in real life!
Teacher Page
7.G.B.6 Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right-prisms.
In this WebQuest, students will develop an in-depth understanding of area, volume, and surface area of 2D and 3D shapes as they design a house.