Math project Introduction and Goals Bulk materials are materials sold by weight or volume For example, a landscaper may buy a 20 lb bag of grass seed or a cubic yard of gravel For this project, you will design a storage site where bulk materials are stored in conical piles First you'll research characteristics of several bulk materials Then you'll design your storage site and perform calculations based on the characteristics of your materials Finally, you'll reflect on various aspects of the project Project Instructions Use the Internet to find the angles of repose for 6 bulk materials you can store in conical piles Do not use the same materials that are in the sample project Note that the sample project uses only 5 materials Your project needs 6 materials Do not choose materials whose angle of repose is 0 Do not choose materials that all have the same angle of repose Try for a variety of angles If you are given a range, use the middle of the range Tip In the search bar, enter the phrase angle of repose bulk materials chart Find the densities of the materials you chose You may find them on the same page as you found the angles of repose, or you may need to do another search If you are given a range, use the middle of the range Tip In the search bar, enter the phrase densities of bulk materials List densities in lb ft3 (pounds per cubic foot ) You may need to convert some densities Convert kilograms per cubic meter to pounds per cubic foot by multiplying by 0 062 ( x kg m3) (0 062) y lb ft3 Convert pounds per cubic yard to pounds per cubic foot by multiplying by 0 037 ( x lbs yard3) (0 037) y lb ft3 Tip If you find an unknown density, do an Internet search for the conversion For example, if you type 5 grams per cubic centimeter to pounds per cubic foot into most search engines, you'll get this answer (5 grams) per (cubic centimeter) 312 139803 pounds per (cubic foot) Open your presentation, and follow the directions to complete the Research slides Project Writing Before you begin writing, complete the Practice Test, a computer scored, ungraded assessment You'll practice working with angles and cones skills essential to completing your project Reach out to your teacher with any questions you have after taking this Practice Test Follow the directions in the presentation to complete each Writing slide On the Site Map slides, design and describe your storage site Use the SiteMap ggb file to draw your design On the Calculations slides, determine the maximum possible height, volume, and weight for each pile of materials in your design Then discuss how a specific customer order can be delivered efficiently Tip When you want to find the maximum possible height of a pile, sketch a cross section of the cone labeled with its height, radius, and angle of repose On the Model slide, choose a scale for a model of your storage site and describe how to use the scale to find areas and volumes Assume maximum amounts of materials are stocked Do not use the same scale as the sample project Project Reflection Look back over the Writing slides in your presentation Follow the directions in the presentation to complete the Reflection slide Submission Confirm that your presentation contains all your work Materials table and source information Site map and table with the center and radius of each pile Table with maximum heights, volumes, and weights, and description of order delivery Discussion involving the scale of a model and how the scale can be used to find measures on the model Your reflection Here is the template f fSite Map Map Directions QMWNE After you read the directions, delete or drag them off the slide so you have enough room for your map Replace Map with a screenshot of your site map Draw circles to outline the greatest possible base of each pile of material Label each pile Include an ofce that has between 200 f t2 and 300 ft2 of space Allow at least a 15 ft pathway for vehicles to access each pile as well as the ofce Label the vehicle entrance to the site You can make the piles the same size or different sizes Writing Site Map Coordinates Material Center Radius (ft) 991 43 93 53 I I Directions 1 List each of your materials For each, give the coordinates on the map that locate the center of the base of the pile Then give the radius of the base of that pile on the actual site Writing Material Limits Material Maximum Height Maximum Volume Maximum (ft) (1'6) Weight (11)) 1 2 3 4 5 6 Directions 1 Again, list each of your materials For each, list these measurements Maximum possible height of the pile Maximum possible volume of the pile Maximum possible weight of the material in the pile 2 Round heights to the nearest tenth of a foot, volumes to the nearest cubic foot, and weights to the nearest pound Use 3 14 for 313 f fWriting Reection Discussion Directions 1 Replace Discussion with a discussion that addresses TWO of the following Compare the angles of repose and densities of a few of the materials you chose Explain why the comparisons make sense Pick two of the materials you chose and explain how you would redesign your site if you decided to store those two materials only What would be the greatest possible heights of the piles Explain Your storage site design did not have any retaining walls around the piles Discuss pros and cons of building retaining walls around each pile of material ln what other elds would it be useful to know the angle of repose for given materials Explain Remember, you may delete or remove this directions box offrscreen to give you more room to write

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Math project Introduction and Goals Bulk materials are materials sold by weight or volume. For example, a landscaper may buy a 20 lb bag of

Math project

Introduction and Goals

Bulk materials are materials sold by weight or volume. For example, a landscaper may buy a 20 lb bag of grass seed or a cubic yard of gravel.

For this project, you will design a storage site where bulk materials are stored in conical piles.

First you'll research characteristics of several bulk materials. Then you'll design your storage site and perform calculations based on the characteristics of your materials. Finally, you'll reflect on various aspects of the project.

Project Instructions

Use the Internet to find the angles of repose for 6 bulk materials you can store in conical piles.
Do not use the same materials that are in the sample project. Note that the sample project uses only 5 materials. Your project needs 6 materials.
Do not choose materials whose angle of repose is 0.
Do not choose materials that all have the same angle of repose. Try for a variety of angles.
If you are given a range, use the middle of the range.
Tip: In the search bar, enter the phrase angle of repose bulk materials chart.
Find the densities of the materials you chose. You may find them on the same page as you found the angles of repose, or you may need to do another search.

If you are given a range, use the middle of the range.
Tip: In the search bar, enter the phrase densities of bulk materials.
List densities in lb/ft3 (pounds per cubic foot.) You may need to convert some densities.
Convert kilograms per cubic meter to pounds per cubic foot by multiplying by 0.062:
(x kg/m3) ? (0.062) = y lb/ft3
Convert pounds per cubic yard to pounds per cubic foot by multiplying by 0.037:
(x lbs/yard3) ? (0.037) = y lb/ft3
Tip: If you find an unknown density, do an Internet search for the conversion. For example, if you type "5 grams per cubic centimeter to pounds per cubic foot" into most search engines, you'll get this answer:
(5 grams) per (cubic centimeter) = 312.139803 pounds per (cubic foot)

Open your presentation, and follow the directions to complete the Research slides.

Project Writing

Before you begin writing, complete the Practice Test, a computer-scored, ungraded assessment. You'll practice working with angles and cones?skills essential to completing your project. Reach out to your teacher with any questions you have after taking this Practice Test.
Follow the directions in the presentation to complete each Writing slide.

On the Site Map slides, design and describe your storage site. Use the SiteMap.ggb file to draw your design.
On the Calculations slides, determine the maximum possible height, volume, and weight for each pile of materials in your design. Then discuss how a specific customer order can be delivered efficiently.
Tip: When you want to find the maximum possible height of a pile, sketch a cross section of the cone labeled with its height, radius, and angle of repose.
On the Model slide, choose a scale for a model of your storage site and describe how to use the scale to find areas and volumes. Assume maximum amounts of materials are stocked. Do not use the same scale as the sample project.

Project Reflection

Look back over the Writing slides in your presentation. Follow the directions in the presentation to complete the Reflection slide.

Submission

Confirm that your presentation contains all your work:

Materials table and source information
Site map and table with the center and radius of each pile
Table with maximum heights, volumes, and weights, and description of order delivery
Discussion involving the scale of a model and how the scale can be used to find measures on the model
Your reflection

Here is the template

\f\fSite Map [Map] Directions QMWNE After you read the directions, delete or drag them off the slide so you have enough room for your map. Replace [Map] with a screenshot of your site map. Draw circles to outline the greatest possible base of each pile of material. Label each pile. Include an ofce that has between 200 f t2 and 300 ft2 of space. Allow at least a 15 ft pathway for vehicles to access each pile as well as the ofce. Label the vehicle entrance to the site. You can make the piles the same size or different sizes. Writing: Site Map Coordinates Material Center Radius (ft) 991.43.93.53? I I Directions 1. List each of your materials. For each, give the coordinates on the map that locate the center of the base of the pile. Then give the radius of the base of that pile on the actual site. Writing: Material Limits Material Maximum Height Maximum Volume Maximum (ft) (1'6) Weight (11)) 1. 2. 3. 4. 5. 6. Directions 1. Again, list each of your materials. For each, list these measurements: Maximum possible height of the pile Maximum possible volume of the pile Maximum possible weight of the material in the pile 2. Round heights to the nearest tenth of a foot, volumes to the nearest cubic foot, and weights to the nearest pound Use 3.14 for 313. \f\fWriting: Reection [Discussion] Directions: 1. Replace [Discussion] with a discussion that addresses TWO of the following. Compare the angles of repose and densities of a few of the materials you chose. Explain why the comparisons make sense. Pick two of the materials you chose and explain how you would redesign your site if you decided to store those two materials only. What would be the greatest possible heights of the piles? Explain Your storage site design did not have any retaining walls around the piles. Discuss pros and cons of building retaining walls around each pile of material. ln what other elds would it be useful to know the angle of repose for given materials? Explain. Remember, you may delete or remove this directions box offrscreen to give you more room to write