Goofy Golf Ball Performance Assessment

The Goofy Golf Ball

A Geometry PBL

Company Name Group Members: Leader:

THE SITUATION

You and your team are members of a large golf ball manufacturing company in Costa Rica! Your responsibility is to create a new package to sell their golf balls in the best possible packaging. Your challenge is to design 3 different golf ball packages that are cost-effective and functional, but that also are attractive and interesting to potential customers.

Your design team will decide on 3 different 3-D shapes for the package you would like to design. You will use your knowledge of surface area, volume, and other geometry skills to help make the best decision as a group. You also need to consider the artistic side of the design, such as color, shape, logos, etc.

You and your team will create a 5-minute presentation which explains each 3D shape that you chose, the mathematics used in the creation of the package, and the artistic side of the design.

You will pitch your 3 golf ball package designs to the company’s board of directors (Mr. Danny and some guest judges) through a virtual meeting, and each member of the group must be part of the presentation.

GUIDELINES

o Read, understand, and follow all Rubrics & Expectations

o Create 3 possible package designs

o Complete the Design #1 Planner o Identify the Volume & Surface Area of the

package


package


package

o Complete the Cost Analysis o Deduce the cost of designing the package o Describe the artistic side of the design and why

it is important to you and the customer

o Complete the Presentation Planning Sheet o Draft the writing piece o Revise/edit writing with a teammate o Publish writing in electronic format o Create your presentation

o Present to the board of directors

o Create a 3-D model of your package design

EXPECTATIONS

o Attentive listening o Active learning o Active and equal participation from all group

members o Use all planning pages o Follow all rubrics o Know and meet deadlines o Best effort from everyone

Design #1 Planner

A standard golf ball has a diameter of 4.2 cm, which means it has a radius of 2.1 cm. Think about the type of shape you want to make your package. How many levels of golf balls will you include? What will be the length, width, and height of your 3-D shape? Use an app like notability to draw the illustrations below. You may also insert a picture of a hand-drawn illustration done on paper. Label the length, width, and height on your drawing. Remember to make your package a little bit wider than the edge of the golf ball so it can fit inside with a little room to spare.

3-D Perspective Illustration

View from Above

View from Side

View from Other Side

Net of the 3-D shape

What is the name of the 3-D shape will you use for

this design?

Total number of golf balls per package:

How many golf balls will fit on the first level of the base?

Calculate the length & width of the package based on the size of the golf balls:

Remember to make your package a little bit wider than the edge of the golf ball so it can fit inside with a little room to spare.

How many levels of golf balls will fit in your package?

Calculate the height of the package based on the size of the golf balls:

Remember to make your package a little bit taller than the edge of the golf ball so it can fit inside with a little room to spare.

Volume: Step-by-step calculation of your 3-D shape starting

with the formula.

Surface Area: Step-by-step calculation of your 3-D shape starting

with the formula.

Design #2 Planner

A standard golf ball has a diameter of 4.2 cm, which means it has a radius of 2.1 cm. Think about the type of shape you want to make your package. How many levels of golf balls will you include? What will be the length, width, and height of your 3-D shape? Use an app like notability to draw the illustrations below. You may also insert a picture of a hand-drawn illustration done on paper. Label the length, width, and height on your drawing. Remember to make your package a little bit wider than the edge of the golf ball so it can fit inside with a little room to spare.


View from Above

View from Side




this design?









with the formula.


with the formula.

Design #3 Planner

A standard golf ball has a diameter of 4.2 cm, which means it has a radius of 2.1 cm. Think about the type of shape you want to make your package. How many levels of golf balls will you include? What will be the length, width, and height of your 3-D shape? Use an app like notability to draw the illustrations below. You may also insert a picture of a hand-drawn illustration done on paper. Label the length, width, and height on your drawing. Remember to make your package a little bit wider than the edge of the golf ball so it can fit inside with a little room to spare. All final calculations should be rounded to the nearest tenth of a centimeter.


View from Above

View from Side




this design?









with the formula.


with the formula.

Design, Logo, & Cost of Packaging

This page will be used to plan the artistic design aspect behind the packaging. Your company name should be featured as well as a creative logo or image to represent your company. Remember you want your package to be appealing to the customer and generate a lot of sales for your company.

Draw a picture of your company logo:

What words, if any, will you include on the packaging to market your product?

Surprise! Costa Rica just implemented a new tax for businesses to help generate income due to the fiscal deficit. All packaging companies are now required to pay a tax of 3 colones per square centimeter of surface area. Use the space below to calculate the total cost of the tax per package for your company.

Presentation Planning Sheet Audience: Board of Directors Each group member will be part of the virtual board of directors meeting. The group leader will be in charge of collecting each design from each group member and putting it all together into the app of your choosing for the presentation. Who is the group leader? _______________________________________________________________ Which app are you going to use? _________________________________________________________ Introduction: Discuss your purpose as a design team working for the Goofy Golf Ball company. Each slide should contain the following information: Copy and paste pictures of the design. What shape did you create? How many balls does it hold? Are there any interesting aspects to the design? What are the volume and surface area and how did you calculate them? Write which student will be presenting each design. Design 1: _____________ Design 2: _____________ Design 3: _____________ Closing: Briefly thank the board members for their time, and make your final remarks.

Construction of 3-D Model Each group member will construct a physical 3-D model of one of your designs. Based on the results of your presentation, the board of directors will assign which group member will construct which design.

Group Member:_______________________________ Design #_____________________________ Group Member:_______________________________ Design #_____________________________ Group Member:_______________________________ Design #_____________________________

Criterion B: Investigating Patterns

Level The student is able to: Task-Specific Clarification

1-2 Apply, with teacher support, mathematical problem-solving techniques to recognize simple patterns. State predictions consistent with simple patterns

Seldom selects and applies correct patterns of calculating volume and surface area of 3-D figures. Seldom describes patterns as relationships in 3-D figures.

3-4

Apply mathematical problem-solving techniques to recognize patterns. Suggest how these patterns work.

Sometimes selects and applies correct patterns of calculating volume and surface area of 3-D figures. Sometimes describes patterns as relationships in 3-D figures.

5-6

Apply mathematical problem-solving techniques to recognize patterns. Suggest relationships or general rules consistent with findings. Verify whether patterns work for another example.

Usually selects and applies correct patterns of calculating volume and surface area of 3-D figures. Usually describes patterns as relationships in 3-D figures. Sometimes verifies the use of related patterns in other 3-D models.

7-8

Select and apply mathematical problem-solving techniques to recognize patterns. Describe patterns as relationships or general rules consistent with correct findings. Verify whether patterns work for other examples.

Consistently selects and applies correct patterns of calculating volume and surface area of 3-D figures. Correctly describes patterns as relationships in 3-D figures. Verifies the use of related patterns in other 3-D models.

Criterion D: Applying Mathematics in Real-life Contexts

Level The student is able to: Task-Specific Clarification

1–2 Identify some of the elements of the authentic real-life situation. Apply mathematical strategies to find a solution to the authentic real-life situation, with limited success.

Few measurements of the geometric figures are correct. Few correct calculations are shown on the work page.

3–4

Identify the relevant elements of the authentic real-life situation. Apply mathematical strategies to reach a solution to the authentic real-life situation. State, but not always correctly, whether the solution makes sense in the context of the authentic real-life situation.

Some measurements of the geometric figures are correct. Some correct calculations are shown on the work page. Explains, with some success, to the teacher how the student was able to arrive to the solution. Minimally describes how different geometric figures are used in the way we construct buildings and living spaces.

5–6

Identify the relevant elements of the authentic real-life situation. Select adequate mathematical strategies to model the authentic real-life situation. Apply the selected mathematical strategies to reach a valid solution to the authentic real-life situation. Describe the degree of accuracy of the solution. State correctly whether the solution makes sense in the context of the authentic real-life situation.

Most measurements of the geometric figures are correct. Most correct calculations are shown on the work page. Explains adequately to the teacher how the student was able to arrive to the solution. Mostly describes how different geometric figures are used in the way we construct buildings and living spaces.

7–8

Identify the relevant elements of the authentic real-life situation. Select adequate mathematical strategies to model the authentic real-life situation. Apply the selected mathematical strategies to reach a correct solution to the authentic real-life situation. Explain the degree of accuracy of the solution. Describe correctly whether the solution makes sense in the context of the authentic real-life situation.

All measurements of the geometric figures are correct. All correct calculations are shown on the work page. Explains correctly to the teacher how the student was able to arrive to the solution. Effectively describes how different geometric figures are used in the way we construct buildings and living spaces.

Documents

Goofy Golf Ball Performance Assessment