Rocket Science: Quadratic Trajectories Unleashed!

8th, 9th Grades Project 2 weeks

Rocket Science: Quadratic Trajectories Unleashed!

Eduardo Reyes

CCSS.Math.Content.HSA-CED.A.1

CCSS.Math.Content.HSA-REI.B.4

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 embark on an engaging journey to explore quadratic functions through the thrilling experience of launching water bottle rockets. By designing, constructing, and launching their rockets, they will gather and analyze flight data to create precise quadratic models of the trajectory. This project connects mathematical concepts to real-world applications, enhancing students' understanding of quadratic equations. Through collaboration and reflection, students will refine their analytical skills and showcase their work in a digital portfolio.

Learning goals

Students will deepen their understanding of quadratic functions by applying them to predict and analyze the flight path of a water bottle rocket. They will refine their skills in data collection and analysis, using graphing technology to interpret and compare predicted and actual trajectories. Through collaborative roles and reflective discussions, students will sharpen their problem-solving and critical thinking abilities while effectively communicating their findings.

Standards

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.HSA-REI.B.4 - Solve quadratic equations in one variable.
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 construct a water bottle rocket and collect flight data to create a comprehensive trajectory model using quadratic equations. They will compile their findings, including initial predictions, collected data, and reflections, into a digital portfolio titled "To the Skies!" This portfolio will be showcased in a 'Rocket Trajectory Gallery Walk,' where students present their work, including graphs and equations, on posters for peers and teachers to explore.

Launch

Students will participate in a 'Launch Day Simulation,' where they take on roles such as engineers, data analysts, and launch controllers to plan and execute a rocket launch. This immersive role-play will introduce the project and engage students with real-world applications of quadratic functions. The activity will set the stage for hands-on learning and collaboration, highlighting the skills necessary for designing and launching their water bottle rockets.

Exhibition

Students will host a 'Rocket Trajectory Gallery Walk,' displaying their digital portfolios on posters throughout the classroom or school hall. Each exhibit will feature graphs, equations, and analyses of their rocket's flight path, allowing peers, teachers, and visitors to engage with the students' work. This interactive exhibition encourages dialogue and feedback, fostering a deeper understanding of the quadratic models used in their projects.

Plan

Week 1	Day 1	Day 2	Day 3	Day 4
Activities	Project Introduction - Begin with the 'Launch Day Simulation,' where students role-play as engineers and data analysts to plan a rocket launch, immersing them in real-world applications of quadratic functions (25 min) Brainstorming Session - Students discuss and list potential variables affecting rocket trajectory and predict outcomes using quadratic equations (20 min)	Rocket Design Workshop - Students design and sketch their water bottle rockets, considering factors that might affect the flight path, guided by principles of quadratic functions (30 min) Material Collection and Preparation - Students gather materials and begin constructing their rockets, ensuring they understand how design choices relate to quadratic predictions (15 min)	Rocket Construction - Continue assembling the water bottle rockets, ensuring structural integrity and design accuracy (25 min) Flight Prediction Calculations - Students use quadratic equations to predict the rocket's maximum height and time to reach it, documenting their calculations in preparation for launch (20 min)	Launch Day Preparation - Finalize rocket construction and conduct pre-launch checks, ensuring readiness for data collection (20 min) Data Collection Setup - Students set up equipment and plan for recording flight data, including time of flight and maximum height, to verify predictions against actual results (25 min)
Deliverables	1. Digital portfolio entry with initial predictions about the rocket's flight path 2. Completed notes and sketches from the 'Launch Day Simulation' role-play activity 3. Preliminary quadratic equations derived from hypothetical flight data provided during the simulation
Preparation	1. Gather materials for water bottle rocket construction, including bottles, fins, nozzles, and launch pads 2. Prepare graphing technology or software for students to use in plotting trajectories 3. Create role-play cards and hypothetical flight data for 'Launch Day Simulation' activity 4. Organize the classroom space to facilitate role-play and group discussions 5. Provide access to resources on quadratic functions and related real-world applications

Week 2	Day 1	Day 2	Day 3	Day 4
Activities	Rocket Launch Preparation - Students finalize rocket designs, ensuring all components are ready for launch, focusing on the balance and aerodynamics of their water bottle rockets. (20 min) Launch Simulation - Conduct a mock launch in the classroom, where students practice roles as engineers and data analysts, refining their understanding of launch protocols and data collection methods. (25 min)	Rocket Launch Day - Students launch their water bottle rockets outdoors, collect flight data such as maximum height and time of flight, and document observations using video and notes. (45 min)	Data Analysis Session - Students use graphing technology to plot their rocket's trajectory, highlighting key features such as vertex and intercepts, and compare these with their predicted models. (25 min) Critique and Revision - Mid-project checkpoint where students present preliminary findings and receive feedback to refine their calculations and trajectory models. (20 min)	Reflection Discussion - Students participate in a group discussion to share insights and compare actual rocket flight paths with predictions, fostering critical thinking and reflection. (20 min) Digital Portfolio Creation - Students compile launch data, analysis, and reflections into a digital portfolio, preparing for the 'Rocket Trajectory Gallery Walk' exhibition. (25 min)
Deliverables	1. Digital Portfolios - Students will submit their digital portfolios, including refined quadratic models, graphs, and reflections on their learning experiences. 2. Rocket Trajectory Gallery Walk - Students will participate in the exhibition, displaying their posters and engaging with peers and teachers to showcase their work.
Preparation	1. Gather graphing calculators or computers with graphing software available for student use. 2. Provide poster materials such as chart paper, markers, and printing resources for students to create visual displays. 3. Set up the classroom or designated area for the Rocket Trajectory Gallery Walk, ensuring sufficient space for all students' exhibits and facilitating smooth movement and interaction. 4. Ensure access to digital tools for compiling and organizing data and reflections in the digital portfolio.