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All grades  Project 2 weeks

Rocket Science: Quadratic Trajectories Unleashed!

Eduardo R
Mar 19, 2025
Updated May 20, 2026
CCSS.Math.Content.HSA-REI.B.4
CCSS.Math.Content.HSA-CED.A.1
CCSS.Math.Content.HSF-BF.A.1
CCSS.Math.Content.HSF-IF.B.4
CCSS.Math.Content.HSF-IF.C.7
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Purpose

Students will investigate the driving question, How can we use quadratic equations to accurately predict the flight path and landing point of a water bottle rocket? By designing, building, and launching a water bottle rocket, they will collect flight data and use it to create and test a quadratic model of the rocket’s trajectory. This learning experience connects algebra to a visible, real-world event as students calculate maximum height, time to reach the vertex, and landing point using graphs, equations, and technology. Through collaboration, critique, revision, and public sharing in a digital portfolio and gallery walk, students will strengthen mathematical reasoning and communication.

Learning goals

How can we use quadratic equations to accurately predict the flight path and landing point of a water bottle rocket? Students will apply quadratic functions to model rocket flight data, create equations from real measurements, and solve for key features such as maximum height, time to reach the vertex, and intercepts. They will use graphing technology to compare predicted and actual trajectories, evaluate the accuracy of their models, and revise their calculations based on peer and teacher feedback. Through engineering, data analysis, and presentation tasks, students will strengthen collaboration, mathematical reasoning, and clear communication in a digital portfolio and gallery walk.

Standards
  • [] CCSS.Math.Content.HSA-REI.B.4 - Solve quadratic equations in one variable.
  • [] CCSS.Math.Content.HSA-CED.A.1 - Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
  • [] CCSS.Math.Content.HSF-BF.A.1 - Write a function that describes a relationship between two quantities
  • [] CCSS.Math.Content.HSF-IF.B.4 - For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.
  • [] CCSS.Math.Content.HSF-IF.C.7 - Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

Products

Students will investigate the driving question, How can we use quadratic equations to accurately predict the flight path and landing point of a water bottle rocket? Throughout the project, they will create a water bottle rocket, flight-data tables, hand-drawn and digital graphs, quadratic equations, and revised trajectory models based on critique at a mid-project checkpoint. By the end, each team will complete a digital portfolio that includes predictions, launch data, calculations for maximum height and time to reach it, graphs, reflections, and a written or recorded explanation of their model’s accuracy. They will also prepare a poster display for the Rocket Trajectory Gallery Walk and rocket launch showcase so peers and teachers can examine their equations, graphs, and conclusions.

Launch

Students will begin with a Launch Day Simulation, taking on roles such as engineers, data analysts, and launch controllers as they plan and carry out a mock rocket launch. The driving question, “How can we use quadratic equations to accurately predict the flight path and landing point of a water bottle rocket?” frames the experience and gives teams a clear purpose for their work. As teams make predictions, review sample flight data, and discuss what information they will need from a real launch, they build shared background knowledge and excitement for designing, testing, and analyzing their own rockets.

Exhibition

Students will host a Rocket Trajectory Gallery Walk in the classroom or school hall, centered on the driving question: How can we use quadratic equations to accurately predict the flight path and landing point of a water bottle rocket? Each exhibit will feature a digital portfolio on a poster with the rocket design, launch data, quadratic equation, graph, and analysis of maximum height, time to vertex, and landing point. Peers, teachers, and families can circulate, ask questions, and compare how different models matched the actual flights.

Plan
By Phase By Day Calendar
Launch Question & Plan Analyze & Present Showcase
Launch
Students will enter the project through a role-based rocket launch simulation, examine sample flight evidence, and generate initial investigable questions about how a water bottle rocket’s height changes over time.
Day 1
🚀 Launch Day Simulation
Launch 45m
No activities have been added to this phase yet.

Edit Phase

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Question & Plan
Students will investigate a puzzling rocket-flight pattern, refine a testable question and hypothesis about rocket height over time, and create a clear plan for collecting and analyzing launch data with a quadratic model before the full investigation begins.
Days 2 - 4
🛰️ Sample Flight Pattern Sort
Knowledge/Skill Building 40m
❓ Rocket Question and Method Draft
Project Work 50m
📋 Launch Plan Checkpoint
Assessment 45m
No activities have been added to this phase yet.

Edit Phase

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Analyze & Present
Students will organize launch evidence, build and test quadratic trajectory models, interpret key graph features, and prepare evidence-based claims about the accuracy and limits of their rocket analysis before the final showcase.
Days 5 - 7
📊 Clean Rocket Data Tables
Knowledge/Skill Building 40m
📈 Graph Quadratic Flight Paths
Project Work 45m
🗣️ Critique Trajectory Claims
Deliverable 45m
No activities have been added to this phase yet.

Edit Phase

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Showcase
Students will present their completed water bottle rocket trajectory analyses in a Rocket Trajectory Gallery Walk and showcase, defend how their quadratic models predict maximum height and landing point, and reflect on the accuracy and limits of their conclusions using evidence from their data, graphs, and equations.
Day 8
🚀 Rocket Trajectory Gallery Walk
Assessment 45m
No activities have been added to this phase yet.

Edit Phase

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Launch Days 1–1
Day 1
🚀 Launch Day Simulation
Launch 45m
Question & Plan Days 2–4
Day 2
🛰️ Sample Flight Pattern Sort
Knowledge/Skill Building 40m
Day 3
❓ Rocket Question and Method Draft
Project Work 50m
Day 4
📋 Launch Plan Checkpoint
Assessment 45m
Analyze & Present Days 5–7
Day 5
📊 Clean Rocket Data Tables
Knowledge/Skill Building 40m
Day 6
📈 Graph Quadratic Flight Paths
Project Work 45m
Day 7
🗣️ Critique Trajectory Claims
Deliverable 45m
Showcase Days 8–8
Day 8
🚀 Rocket Trajectory Gallery Walk
Assessment 45m

March 2026

Mon
Tue
Wed
Thu
Fri
16 Day 1
Launch
🚀 Launch Day Simulation
17 Day 2
Question & Plan
🛰️ Sample Flight Pattern Sort
18 Day 3
❓ Rocket Question and Method Draft
19 Day 4
📋 Launch Plan Checkpoint
23 Day 5
Analyze & Present
📊 Clean Rocket Data Tables
24 Day 6
📈 Graph Quadratic Flight Paths
25 Day 7
🗣️ Critique Trajectory Claims
26 Day 8
Showcase
🚀 Rocket Trajectory Gallery Walk
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