Enlarge Candy Wrapper: Proportions in Action
Created byKristine Humphreys
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Enlarge Candy Wrapper: Proportions in Action

Grade 7Math6 days
This project engages 7th-grade students in the practical application of proportional relationships for enlarging a candy bar wrapper. Throughout the project, students explore mathematical concepts such as unit rates, ratios, and proportions to accurately scale objects. They also incorporate design considerations to maintain brand integrity and proportional accuracy. Hands-on activities and collaboration help students solve real-world scaling challenges while enhancing their understanding of mathematical principles and design skills.
Proportional RelationshipsScalingRatiosCandy Wrapper DesignMathematical MethodsReal-World ApplicationsDesign Challenges
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Inquiry Framework

Question Framework

Driving Question

The overarching question that guides the entire project.How can we use proportional relationships and mathematical methods to accurately enlarge a full-size candy bar wrapper, while understanding the challenges that may arise in the process?

Essential Questions

Supporting questions that break down major concepts.
  • What is a proportional relationship and how does it apply to scaling objects?
  • How do you determine the proportionality constant between different sized objects?
  • What mathematical methods can be used to enlarge an object proportionally?
  • How does understanding proportions help in real-world applications like resizing images or creating scale models?
  • What are the potential challenges when enlarging an object proportionally and how can they be addressed?

Standards & Learning Goals

Learning Goals

By the end of this project, students will be able to:
  • Understand and apply the concept of proportional relationships to real-world scenarios.
  • Learn how to calculate and use proportionality constants to resize objects accurately.
  • Use mathematical methods, such as ratios and proportions, to enlarge objects keeping their dimensions proportional.
  • Apply knowledge of proportions to solve problems related to scaling in various contexts, such as image resizing and model building.
  • Identify and overcome challenges related to proportional enlargement of objects.

Common Core Standards

CCSS.MATH.7.RP.1
Primary
Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.Reason: This standard directly relates to the computation of unit rates and ratios necessary for proportional scaling of objects, which is a core part of the project.
CCSS.MATH.7.RP.3
Primary
Use proportional relationships to solve multistep ratio and percent problems.Reason: Solving multistep ratio problems is essential for accurately enlarging the candy bar wrapper, which aligns with the project's learning goals.

Entry Events

Events that will be used to introduce the project to students

Candy Wrapper Design Challenge

Introduce the project by having students redesign a candy bar wrapper for a new, oversized version of the candy. They must consider branding as well as the mathematical scaling of the original wrapper, encouraging creativity alongside technical calculations.
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Portfolio Activities

Portfolio Activities

These activities progressively build towards your learning goals, with each submission contributing to the student's final portfolio.
Activity 1

Ratios and Proportions Exploration

Students begin by investigating the fundamentals of ratios and proportions, understanding how these concepts apply to everyday situations, including scaling and resizing.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Introduce the concept of ratios and proportions using simple, relatable examples like recipes or speed.
2. Work in pairs to solve basic ratio problems, emphasizing the significance of proportionality constants.
3. Discuss how these skills are applicable in enlarging objects such as candy bar wrappers.

Final Product

What students will submit as the final product of the activityA worksheet where students solve initial ratio problems and reflect on their understanding.

Alignment

How this activity aligns with the learning objectives & standardsAligns with CCSS.MATH.7.RP.1 by focusing on computation of unit rates and understanding ratios.
Activity 2

Candy Wrapper Blueprint

Students create a blueprint for the enlarged candy wrapper, using their knowledge of proportions and scale drawings to maintain accuracy.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Measure the original candy wrapper and record dimensions.
2. Calculate the desired scale factor for the enlargement.
3. Apply the scale factor to each dimension of the original wrapper to determine the new, enlarged size.
4. Create a scale drawing of the new candy wrapper.

Final Product

What students will submit as the final product of the activityA detailed blueprint or scale drawing of the enlarged candy wrapper.

Alignment

How this activity aligns with the learning objectives & standardsAligns with CCSS.MATH.7.RP.3 by solving multistep ratio problems through the scaling process.
Activity 3

Design and Brand Exploration

In pairs, students choose the brand design for their enlarged candy wrapper, considering how the size affects design elements and text readability.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Analyze current candy bar wrapper designs and discuss elements like color, text, and imagery.
2. Consider how these elements need to change when scaling up to maintain design integrity.
3. Draft a design plan that incorporates these elements effectively with the new proportions.

Final Product

What students will submit as the final product of the activityA draft design for the enlarged wrapper, featuring adjusted elements for the new size.

Alignment

How this activity aligns with the learning objectives & standardsAlthough this is more art-focused, the discussion and adjustments link back to proportions studied in CCSS.MATH.7.RP.1.
Activity 4

Creating the Enlarged Wrapper Prototype

Students use their blueprints and design drafts to construct a physical model of the oversized candy wrapper.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Gather materials such as poster paper, markers, and rulers.
2. Enlarge the wrapper using measurements and design elements previously drafted.
3. Ensure the proportionality is maintained in the final prototype.
4. Review and refine the prototype based on peer feedback.

Final Product

What students will submit as the final product of the activityA physical prototype of the enlarged candy wrapper, adhering to calculated proportions.

Alignment

How this activity aligns with the learning objectives & standardsThis hands-on activity reinforces understanding and application of CCSS.MATH.7.RP.3 by bringing multistep ratios to life.
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Rubric & Reflection

Portfolio Rubric

Grading criteria for assessing the overall project portfolio

Candy Wrapper Enlargement Project Rubric

Category 1

Understanding of Proportional Relationships

Evaluates students' understanding of ratios and proportions and their application to scaling objects.
Criterion 1

Conceptual Understanding

Measures the depth of knowledge regarding proportional relationships and their implications in scaling objects.

Exemplary
4 Points

Shows a sophisticated understanding of proportions, accurately explaining concepts and applying them correctly in various scenarios, including real-world applications.

Proficient
3 Points

Demonstrates a thorough understanding of proportions with clear and mostly correct application in multiple contexts.

Developing
2 Points

Exhibits an emerging understanding of proportions, though application may be inconsistent or partially correct.

Beginning
1 Points

Shows minimal understanding of proportions and struggles to apply concepts correctly.

Criterion 2

Application of Ratios and Proportions

Evaluates the accuracy and effectiveness of applying ratios and proportions to scale objects.

Exemplary
4 Points

Accurately applies ratios and proportions to scale objects with precision and addresses potential challenges innovatively.

Proficient
3 Points

Applies ratios and proportions accurately in most cases, with few errors, and addresses challenges adequately.

Developing
2 Points

Applies ratios and proportions with some accuracy but often demonstrates errors or incomplete reasoning.

Beginning
1 Points

Struggles to apply ratios and proportions accurately, with frequent errors and limited reasoning.

Category 2

Design and Creativity

Assesses the student's ability to integrate creative design elements while maintaining proportional accuracy.
Criterion 1

Integration of Design Elements

Measures how well students incorporate design elements in an enlarged format while maintaining proportions.

Exemplary
4 Points

Seamlessly integrates design elements that enhance the appearance and coherence of the enlarged wrapper, while maintaining proportional accuracy.

Proficient
3 Points

Successfully integrates most design elements, ensuring proportional accuracy and overall coherence in the enlarged wrapper.

Developing
2 Points

Incorporates some design elements but may partially compromise proportional accuracy or coherence.

Beginning
1 Points

Has difficulty integrating design elements effectively, with significant issues in proportional accuracy.

Category 3

Final Product Quality and Refinement

Evaluates the completion and refinement of the final enlarged wrapper product, focusing on accuracy and creativity.
Criterion 1

Prototype Accuracy and Presentation

Measures the precision of the enlargement and the quality of final presentation including audience feedback.

Exemplary
4 Points

Delivers a highly accurate and meticulously crafted prototype that reflects careful planning and refinement, taking feedback constructively.

Proficient
3 Points

Creates a well-executed and mostly accurate prototype, with some evidence of refinement based on feedback.

Developing
2 Points

Produces a prototype that demonstrates some accuracy but needs further refinement and attention to detail.

Beginning
1 Points

The prototype shows significant inaccuracies and minimal evidence of refinement or response to feedback.

Reflection Prompts

End-of-project reflection questions to get students to think about their learning
Question 1

Reflect on the steps you took to enlarge the candy bar wrapper proportionally. What challenges did you face and how did you overcome them?

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Required
Question 2

How confident do you feel about using proportions and ratios in real-world applications after completing this project?

Scale
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Question 3

What was the most surprising thing you learned about proportions while working on the candy wrapper project?

Text
Optional
Question 4

Which mathematical method did you find most effective for maintaining the proportionality of the candy wrapper design? Why?

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Required
Question 5

If you were to redesign a product in the future, how would you apply what you've learned about proportion and design?

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Optional
Question 6

Rate how well you think you maintained design elements and branding in the enlarged candy wrapper, while adhering to mathematical proportions.

Scale
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