Perimeter Quest: Build Your Geometry World

Learning Goals & Products

Learning Goals

Students will be able to define rectangles in classroom-space plans using area and perimeter as measurable criteria and constraints.

Students will be able to calculate area and perimeter of rectangular spaces from measurements in real-world classroom, garden, or playground designs.

Students will be able to compare multiple rectangular design ideas for an equitable learning space using a simple decision matrix.

Students will be able to create a scaled map and blueprint of a classroom learning space with accurate labels, dimensions, and layout.

Students will be able to test and revise a physical model or blueprint of an ideal learning space using feedback and measurement data.

Students will be able to justify design choices for a classroom space using area, perimeter, and user needs.

Students will be able to communicate their final design process and improvements through sketches, labels, presentation, and spoken reflection.

Products

individual

Personal Area-and-Perimeter Design Notebook with Scaled Classroom Plan

Each student will produce an individual notebook showing at least three different rectangular design ideas, a decision matrix, calculations, and one revised scaled plan for an equitable learning space. The notebook proves personal mastery of area, perimeter, and design reasoning before the team selects a final direction.

team

Revised Classroom Blueprint Model for the Blueprint Expo

Teams will build a physical model or blueprint of an ideal learning space, test it, revise it once using data and feedback, and present evidence of performance, trade-offs, and limitations at the expo. The final design will be a 3d model of their classroom and must reflect ideas from team members’ individual notebooks.

Rubric

Competency Progression Rubric Competency-first rubric

Category	Learning Goal	Stage 1	Stage 2	Stage 3	Stage 4
Deeper Learning Competencies	Effective Communication	I can share my ideas clearly about my learning-space design by using labels and simple sentences on my map/model (what I built and why it helps learners) I can listen to teammates during planning and respond respectfully to their suggestions using kind, specific words.	I can explain how area and perimeter helped shape my design choices using math terms (area, perimeter, rectangle) in my sketches and calculations I can communicate with empathy during critiques by asking clarifying questions, restating a peer’s idea fairly, and using feedback to improve my work.	I can present my design thinking step-by-step, connecting my measurements, scale, and space features to fairness and usefulness for learners I can collaborate during gallery walks and feedback sessions by comparing ideas, disagreeing respectfully, and reaching shared decisions about revisions that strengthen the final model and materials list.	I can deliver a clear, organized presentation at the Blueprint Expo that includes my evidence (measurements, area/perimeter reasoning, scale accuracy) and a spoken reflection of growth I can engage in respectful, empathetic communication with diverse partners by using their feedback to make thoughtful revisions and explain how my thinking and collaboration improved over time.
Deeper Learning Competencies	Critical Thinking & Problem Solving	I can use area and perimeter formulas to find answers for rectangles in my design tasks and I explain which measurements I used I can describe a simple problem I’m solving (for example, how to represent a space) and try one possible design adjustment based on evidence from my measurements.	I can apply area and perimeter formulas for rectangles to compare design options and choose the one that best fits my learning-space goal I can justify my choice by citing my calculations and explain how a specific feedback comment or measurement mismatch leads me to revise my plan.	I can use area and perimeter together to troubleshoot inconsistencies between my scaled map and the real classroom space I can propose multiple design strategies (e.g., changing dimensions or layout) and select the most equitable, useful option, explaining my reasoning with accurate calculations and references to feedback.	I can independently refine my learning-space model by connecting area, perimeter, and scale to solve complex real-world design problems I can evaluate trade-offs across fairness, usefulness, and accuracy, revise my plan in a purposeful way, and clearly explain how my solutions and critiques show my problem-solving growth.
Deeper Learning Competencies	Collaboration	I can work with my team to share materials and take turns measuring or sketching a rectangular space, while listening to teammates’ ideas during our design discussions I can treat others with respect and include everyone’s input when we make simple decisions.	I can coordinate with my team to divide tasks (measuring, calculating area/perimeter, drawing a scaled map, and listing materials) and explain my part clearly I can use teammates’ feedback from gallery walks to make one specific revision to our plan, while staying respectful and helping the team stay on track.	I can co-design our learning-space model by proposing and justifying design choices using area and perimeter relationships for rectangles I can collaborate in ways that solve problems (for example, if we disagree about scale or measurements) and incorporate multiple teammate suggestions to improve accuracy and fairness.	I can lead collaborative revision by building on teammates’ ideas, modeling effective communication, and helping the team reach shared decisions about scale, measurements, and equitable space use I can treat differences as strengths, contribute thoughtfully to conflict resolution, and show through our revised drawings, calculations, and presentation notes how our teamwork improved the final blueprint.
Deeper Learning Competencies	Content Expertise	I can use area and perimeter formulas for rectangles to solve problems about a real learning space, showing my work with correct units and labels I can measure (or use given measurements) and plug them into the formulas accurately in my sketches and calculations.	I can apply area and perimeter formulas for rectangles to design and explain parts of my learning-space model, making calculations that match the measurements I took I can check my results and fix small errors using feedback so my design choices are based on math, not guesses.	I can use area and perimeter calculations to compare multiple rectangle layout options for my model and choose the most useful and fair space I can revise my scaled map and calculations when feedback shows my measurements, scale, or labels don’t accurately represent the classroom or playground.	I can independently create and revise a scaled rectangle design that uses area and perimeter to support equitable learning for everyone, clearly connecting math to design decisions I can strengthen my final blueprint by integrating feedback from others, accurately matching measurements to the scale and explaining how my calculations guide improvements.
Deeper Learning Competencies	Academic Mindset	I can explain what I notice and wonder about using area and perimeter in a learning-space design, and I can try a first solution by measuring and recording my rectangle’s values with support from my team and rubric.	I can use feedback to revise my measurements, calculations, or scale and describe what I changed and why; I can also show respect for others’ ideas while making decisions that support an equitable learning space.	I can take responsibility for improving my scaled map and model by checking my work against area/perimeter formulas and the scaled plan; I can persist through challenges and thoughtfully incorporate partner/guest feedback into my project folder.	I can independently lead my own revision cycle—setting a goal, testing and correcting my measurements and scale accuracy, and justifying my design choices with fairness in mind; I can reflect on how my thinking grew and how treating others with respect strengthened our collaboration.