Scaling the Parade: A Macy’s Balloon Float Design Challenge
Inquiry Framework
Question Framework
Driving Question
The overarching question that guides the entire project.How can we, as parade engineers, design and build a scaled balloon float that safely navigates New York City streets while staying within our project budget?Essential Questions
Supporting questions that break down major concepts.- How does "scale" help us create a mini version of a large object while keeping its proportions the same?
- How can we use addition and subtraction of decimals or whole numbers to ensure we don't exceed our parade budget?
- How do we use measurement tools and units to make sure our float can safely navigate through the "city street" requirements?
- How does calculating the area and perimeter of our float's base help us plan the space we need?
- How can we use mathematical reasoning to decide which materials to buy when we have limited funds?
Standards & Learning Goals
Learning Goals
By the end of this project, students will be able to:- Calculate the total cost of materials and manage a project budget using addition and subtraction of multi-digit numbers and decimals.
- Apply scale factors to convert real-world measurements (e.g., city street widths) into a scaled model for the balloon float.
- Use measurement tools to accurately determine the length, width, and height of the float prototype within specified constraints.
- Calculate the area and perimeter of the float's base to ensure it fits the "parade route" dimensions provided in the project brief.
- Apply the engineering design process to prototype, test, and iterate on a float design that meets all mathematical and physical constraints.
Common Core State Standards (Math)
Next Generation Science Standards (NGSS)
Entry Events
Events that will be used to introduce the project to studentsThe Studio 72 Rescue Mission
Students are shown a series of 'Rejected Designs' from a fictional parade committee that failed because they were either 'too expensive to fly' or 'too wide for the tunnel.' Students are tasked as 'Fixer Engineers' to use their math skills to adjust the dimensions and budgets of these failures to make them parade-ready.The Broadway Bottleneck Challenge
Students receive an 'urgent memo' from the Macy's Logistics Team explaining that new construction on 6th Avenue has narrowed the parade route. Students must watch a video of a balloon snagging on a building and then use 'street blueprints' to determine if their proposed float designs will mathematically clear the new, tighter urban obstacles.Portfolio Activities
Portfolio Activities
These activities progressively build towards your learning goals, with each submission contributing to the student's final portfolio.The Parade Pocketbook: Budgeting for Brilliance
Before building, every engineer needs to know what they can afford. In this activity, students are given a fixed 'Parade Grant' (budget) of $500 (fictional currency). They are provided with a 'Material Catalog' that lists the costs of items like balloons, structural rods, fabrics, and adhesives. Students must select their materials and perform the necessary calculations to ensure they don't overspend, while also ensuring they have enough supplies to complete their vision.Steps
Here is some basic scaffolding to help students complete the activity.Final Product
What students will submit as the final product of the activityA completed 'Project Expense Ledger' that lists all chosen materials, their unit costs, the total cost for each item, and the remaining balance of the budget.Alignment
How this activity aligns with the learning objectives & standardsAligns with CCSS.MATH.CONTENT.4.MD.A.2 (using four operations to solve money problems) and CCSS.MATH.CONTENT.4.NBT.B.4 (fluently adding and subtracting multi-digit whole numbers).The Shrink-Ray Lab: Mastering the Scale
To make a mini-float, students must understand how real-world sizes translate to model sizes. Students will be given the 'Real World' dimensions of a famous parade float (e.g., 50 feet tall and 30 feet wide). Using a scale factor (e.g., 1 inch = 5 feet), students will use division and multiplication to calculate what the dimensions of their mini-model should be to represent the real float accurately.Steps
Here is some basic scaffolding to help students complete the activity.Final Product
What students will submit as the final product of the activityA 'Scale Conversion Chart' that displays real-world measurements alongside their scaled-down model equivalents.Alignment
How this activity aligns with the learning objectives & standardsAligns with CCSS.MATH.CONTENT.4.OA.A.3 (solving multistep word problems) and CCSS.MATH.CONTENT.4.MD.A.2 (expressing measurements in terms of smaller units).The Broadway Blueprint: Mapping the Footprint
Now that students know how big their float will be, they must ensure it actually fits on the street! Students will design the 'base' or 'chassis' of their float. They will draw a top-down blueprint on grid paper. To ensure it can clear the 'Broadway Bottleneck' (the narrowest part of the parade route), they must calculate the perimeter and the area of their float's base to guarantee it won't hit any buildings or obstacles.Steps
Here is some basic scaffolding to help students complete the activity.Final Product
What students will submit as the final product of the activityA technical 'Broadway Blueprint' drawn to scale on grid paper, including labeled calculations for Area and Perimeter.Alignment
How this activity aligns with the learning objectives & standardsAligns with CCSS.MATH.CONTENT.4.MD.A.3 (applying area and perimeter formulas for rectangles).Mission: Float Launch - Prototype Assembly
It’s time to build! In this final activity, students use their 'purchased' materials and their 'blueprints' to construct the 3D mini-float. As they build, they must use rulers and measuring tapes to ensure that their physical model matches the mathematical calculations from their blueprints. If the physical model is too wide or tall, they must 're-engineer' and adjust their math to solve the problem.Steps
Here is some basic scaffolding to help students complete the activity.Final Product
What students will submit as the final product of the activityA completed 3D Mini Balloon Float prototype, ready for the class parade, accompanied by a 'Final Inspection Report' confirming all measurements match the blueprints.Alignment
How this activity aligns with the learning objectives & standardsAligns with 3-5-ETS1-1 (defining a design problem with constraints) and CCSS.MATH.CONTENT.4.MD.A.2 (using measurement tools).Rubric & Reflection
Portfolio Rubric
Grading criteria for assessing the overall project portfolioThe Parade Engineer’s Master Assessment Rubric
Category 1: Financial Literacy & Operations (4.MD.A.2, 4.NBT.B.4)
Evaluates the student's ability to manage project funds and use mathematical operations to solve real-world money problems.Fiscal Accuracy and Budgeting
Accuracy of calculations using addition and subtraction of multi-digit numbers/decimals within the $500 budget constraint.
Exemplary
4 PointsAll calculations are error-free; the ledger is meticulously organized with innovative cost-saving choices; remaining balance is calculated perfectly.
Proficient
3 PointsCalculations are accurate with no more than one minor error; stay within the $500 budget; ledger is clearly organized and complete.
Developing
2 PointsSome calculation errors present; budget may be slightly exceeded or the ledger is missing key itemized details.
Beginning
1 PointsSignificant errors in addition/subtraction; budget is significantly exceeded; ledger is incomplete or disorganized.
Numerical Operations Fluency
Fluency in using the standard algorithm for multi-step material cost problems and remaining balance.
Exemplary
4 PointsDemonstrates advanced fluency; uses mental math or efficient strategies to verify totals; provides clear evidence of checking work.
Proficient
3 PointsConsistently uses the standard algorithm correctly to manage multi-step material costs and subtraction.
Developing
2 PointsAttempts the standard algorithm but shows inconsistent execution in multi-step problems.
Beginning
1 PointsStruggles to apply the standard algorithm; requires significant teacher support to manage multi-step operations.
Category 2: Proportional Reasoning & Scaling (4.OA.A.3, 4.MD.A.2)
Assesses the student's ability to use scale factors and multiplicative reasoning to translate measurements.Proportional Scaling Accuracy
Application of the 1 inch = 5 feet scale factor to convert real-world dimensions into model dimensions accurately.
Exemplary
4 PointsAll conversions are perfectly accurate; student can explain the relationship between the real-world size and the model size fluently.
Proficient
3 PointsMost conversions are accurate; the scale factor is applied correctly across height, width, and length.
Developing
2 PointsScale factor is applied inconsistently; some model dimensions do not logically match the real-world data provided.
Beginning
1 PointsScale factor is misunderstood; conversions are incorrect or missing, resulting in an out-of-proportion model.
Category 3: Geometric Modeling & Spatial Planning (4.MD.A.3)
Evaluates the use of geometric formulas and technical drawing to plan spatial requirements.Area and Perimeter Application
Correct application of Area (L x W) and Perimeter (2L + 2W) formulas to the float's rectangular base.
Exemplary
4 PointsFormulas are applied with 100% accuracy; student optimizes the base size to maximize area while staying within strict clearance limits.
Proficient
3 PointsArea and perimeter are calculated correctly; blueprint matches the scaled dimensions from Activity 2.
Developing
2 PointsFormulas are present but contain calculation errors; perimeter and area might be confused with one another.
Beginning
1 PointsMinimal understanding of area or perimeter formulas; calculations are missing or irrelevant to the blueprint.
Blueprint Precision
The technical drawing on grid paper accurately represents the calculated dimensions and clearances.
Exemplary
4 PointsBlueprint is professional, drawn exactly to scale on grid paper with all labels and clearances clearly marked.
Proficient
3 PointsBlueprint is clearly drawn to scale; dimensions are labeled correctly and reflect the 'Broadway Bottleneck' constraints.
Developing
2 PointsBlueprint is drawn but lacks precision; scale is not consistently applied to the grid lines.
Beginning
1 PointsDrawing is disorganized; does not reflect scaled dimensions or grid paper constraints.
Category 4: Engineering Design & Iteration (3-5-ETS1-1)
Assesses the student's ability to build a physical prototype based on data and iterate through challenges.Prototype Fidelity and Testing
The physical 3D model reflects the mathematical plans and passes the clearance tests.
Exemplary
4 PointsThe physical model is a perfect 3D representation of the blueprint; passes all clearance tests with room to spare; construction is high quality.
Proficient
3 PointsThe model matches the blueprint dimensions within a reasonable margin of error; successfully passes the clearance tunnel test.
Developing
2 PointsModel is built but varies significantly from the blueprint dimensions; struggles to pass the clearance test without modifications.
Beginning
1 PointsModel does not reflect the math/blueprints; fails clearance tests; construction is incomplete.
Engineering Iteration and Problem Solving
The ability to identify errors and adjust the design or math when constraints are not met.
Exemplary
4 PointsActively identifies design flaws; documents mathematical adjustments clearly; shows a high degree of persistence and problem-solving.
Proficient
3 PointsRecognizes when the model is over-budget or over-size and makes necessary adjustments to meet criteria.
Developing
2 PointsRequires prompting to identify errors; adjustments are made but may not fully solve the constraint problem.
Beginning
1 PointsDoes not attempt to iterate or fix errors; gives up when mathematical or physical constraints are not met.