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Candy Bar Wrapper Enlargement Project

Grade 7Math5 days

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The "Candy Bar Wrapper Enlargement Project" for Grade 7 math students focuses on applying ratio and proportion concepts to design enlarged models of candy bar wrappers. Through activities like the Candy Wrapper Detective Challenge and Wrapper Enlargement Workshop, students learn to compute unit rates, scale objects, and solve multistep ratio problems. The project integrates mathematical concepts with creative tasks, encouraging reflective thinking through journals and emphasizing collaborative learning, aligning with standards CCSS.MATH.7.RP.1 and CCSS.MATH.7.RP.3.

RatiosProportionsUnit RatesScalingCreative DesignMathematicsCollaboration

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Inquiry Framework

Question Framework

Driving Question

The overarching question that guides the entire project.How can you apply ratio and proportion concepts to design an enlarged model of a candy bar wrapper?

Essential Questions

Supporting questions that break down major concepts.

How do unit rates apply to real-world situations?
What strategies can we use to solve ratio and rate problems?
How can mathematical concepts be used to plan, design, and execute a detailed artistic project?

Standards & Learning Goals

Learning Goals

By the end of this project, students will be able to:

Students will understand and apply the concept of unit rates in enlarging real-world objects such as candy bar wrappers.
Students will develop the ability to solve complex ratio and proportion problems, including those involving scaling and geometric transformations.
Students will demonstrate the ability to integrate mathematical concepts in designing and executing a detailed artistic project.
Students will gain experience in planning and organizing mathematical processes in creative projects.

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: The project involves computing unit rates to scale the candy bar wrapper proportionally.

CCSS.MATH.7.RP.3

Primary

Use proportional relationships to solve multistep ratio and percent problems.Reason: Students will be required to use proportional relationships to accurately enlarge the candy bar wrapper, solving multistep ratio problems.

Entry Events

Events that will be used to introduce the project to students

Candy Wrapper Detective Challenge

Students become detectives as they try to solve the mystery of a mixed-up candy wrapper shipment. Each student receives a tiny piece of a candy wrapper and must scale it up to identify which brand it belongs to. This challenges students' understanding of scaling, ratios, and proportions.

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Portfolio Activities

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

Activity 1

Scaling Secrets: The Ratio Riddle

In this activity, students will learn the foundational concept of scaling and ratios by examining everyday items and scaling their dimensions up or down. This foundational activity will prepare them for enlarging the candy wrapper.

Steps

Here is some basic scaffolding to help students complete the activity.

1. Begin with a short review of what ratios are, using pictures of simple geometric shapes that vary in size.

2. Provide students with different small objects like erasers or small books and have them measure the dimensions.

3. Instruct students to scale up these objects by creating a proportional drawing that is double and triple the size of the original.

4. Discuss the calculations involved in determining these new dimensions and how unit rates are used.

Final Product

What students will submit as the final product of the activityProportional drawings of everyday objects increased to double and triple their original size.

Alignment

How this activity aligns with the learning objectives & standardsAligns with CCSS.MATH.7.RP.1 by teaching students to compute unit rates and understand ratios through practical examples.

Activity 2

Wrapper Enlargement Workshop

Students will directly apply their understanding of ratios and proportions to scale up their piece of candy wrapper to determine which brand the piece belongs to.

Steps

Here is some basic scaffolding to help students complete the activity.

1. Students analyze their piece of the candy wrapper, identifying colors and dimensions.

2. Calculate the scaling factor needed to enlarge the wrapper to a standard size candy bar.

3. Use graph paper to draw and color the wrapper using the scaling factor calculated.

4. Check calculations by comparing scaled image sizes and shapes to ensure they match known candy bar sizes.

Final Product

What students will submit as the final product of the activityEnlarged, accurately proportioned drawings of a piece of a candy wrapper, matched to a known brand.

Alignment

How this activity aligns with the learning objectives & standardsCovers CCSS.MATH.7.RP.3 by requiring students to apply proportional relationships to scale up the wrapper and solve the mystery.

Activity 3

Rate and Ratio Reflections: Math Journal

Following the practical activities, students reflect on the relationships between ratios, rates, and scaling in real-world applications through a math journal.

Steps

Here is some basic scaffolding to help students complete the activity.

1. Students write a journal entry about what they found challenging or easy about using proportions in the candy wrapper enlargement activity.

2. They relate their learning to real-world applications, such as architectural scaling or graphic design, using research or examples.

3. Discuss in small groups how different rates or proportions are used in various careers and industries.

4. Conclude the journals with personal notes on how the activity impacted their understanding of math.

Final Product

What students will submit as the final product of the activityA reflective math journal entry that discusses the candy wrapper project and relates it to real-world ratio and rate applications.

Alignment

How this activity aligns with the learning objectives & standardsSupports CCSS.MATH.7.RP.1 and CCSS.MATH.7.RP.3 by encouraging meta-cognition and application of math concepts to broader contexts.

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Rubric & Reflection

Portfolio Rubric

Grading criteria for assessing the overall project portfolio

Grade 7 Math Portfolio Rubric: Ratio and Proportion Mastery

Category 1

Mathematical Computation and Application

Evaluates students' ability to accurately compute unit rates and apply proportional relationships to scaling tasks.

Criterion 1

Accuracy of Unit Rate Calculations

Assesses students' precision in computing unit rates associated with object dimensions.

Exemplary

4 Points

Calculations are consistently accurate with innovative problem-solving methods applied.

Proficient

3 Points

Most calculations are accurate and appropriate methods are used consistently.

Developing

2 Points

Some accurate calculations; occasionally inconsistent methods or errors present.

Beginning

1 Points

Frequent calculation errors and struggles with appropriate methods.

Criterion 2

Proportional Reasoning

Measures students' proficiency in applying proportional relationships to solve scaling problems.

Exemplary

4 Points

Demonstrates a comprehensive grasp of proportional reasoning with creative solutions.

Proficient

3 Points

Displays solid understanding and correct application of proportional reasoning.

Developing

2 Points

Basic understanding with occasional errors in proportional application.

Beginning

1 Points

Limited understanding of proportional relationships and frequent errors.

Category 2

Creative Project Execution

Assesses how well students integrate mathematical concepts into their creative work and the quality of their project execution.

Criterion 1

Quality of Enlarged Wrapper

Evaluates the accuracy, creativity, and detail in the enlarged candy wrapper project.

Exemplary

4 Points

The enlarged wrapper is highly accurate, creative, and meticulously detailed across all elements.

Proficient

3 Points

Wrapper is generally accurate with some creative elements; minor detail inconsistencies.

Developing

2 Points

Basic execution with noticeable inconsistencies; limited creative detail.

Beginning

1 Points

Inaccurate scaling and minimal creativity; details are largely overlooked.

Criterion 2

Integration of Mathematical Concepts

Assesses how well mathematical concepts are understood and applied to the creative project work.

Exemplary

4 Points

Demonstrates exceptional insight and innovative application of math concepts in the project.

Proficient

3 Points

Good grasp of mathematical concepts with appropriate application in the project.

Developing

2 Points

Basic application of math concepts with some errors or misconceptions.

Beginning

1 Points

Struggles to integrate math concepts; frequent misunderstandings.

Category 3

Reflective Thinking and Collaboration

Measures students' reflective thinking about their learning process and their ability to collaborate effectively.

Criterion 1

Depth of Reflection in Math Journal

Evaluates the insightfulness and depth of reflection within students' math journals.

Exemplary

4 Points

Reflections provide comprehensive insights and clearly relate learning to broader contexts.

Proficient

3 Points

Reflections show clear links between project learning and real-world applications.

Developing

2 Points

Basic reflections with limited connections to broader contexts; some areas superficial.

Beginning

1 Points

Reflections are surface-level with little connection to broader learning contexts.

Criterion 2

Collaboration and Communication

Assesses students' ability to work together and communicate ideas effectively during group activities.

Exemplary

4 Points

Demonstrates leadership and effectively facilitates group collaboration and communication.

Proficient

3 Points

Contributes effectively and communicates ideas clearly among group members.

Developing

2 Points

Participates in group work but with limited communication or cooperation.

Beginning

1 Points

Rarely contributes to group efforts and struggles with communication.

Reflection Prompts

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

Question 1

Reflect on how you applied the concept of unit rates and proportional relationships in the candy wrapper enlargement project. What steps did you find challenging or easy, and why?

Text

Required

Question 2

On a scale of 1 to 5, how confident do you feel about using ratios and proportions in real-world scenarios after completing this project?

Scale

Optional

Question 3

Which mathematical concept did you find most useful when enlarging the candy wrapper, and how might this concept be applied in other subjects or real-world situations?

Multiple choice

Optional

Options

Unit rates

Proportional relationships

Scaling factors

Geometric transformations

Question 4

Reflect on the collaboration aspects of the project. How did working with classmates during the candy wrapper enlargement influence your learning experience?

Text

Required