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4th, 5th Grades  Project 1 week

Perimeter City Builders

Matthew S
Updated
CCSS.Math.Content.4.MD.A.3
CCSS.Math.Content.4.MD.A.2
CCSS.Math.Content.4.G.A.1
CCSS.Math.Content.5.MD.C.4
CCSS.Math.Practice.MP1
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Purpose

Students design and build a cityscape that answers the question of how to use area and perimeter wisely to fit homes, parks, and roads on a city block. Through hands-on planning, measuring, drawing, and revising, they apply area and perimeter in meaningful ways while also using lines, angles, and measurement ideas to solve realistic design problems. The work builds collaboration, communication, and problem-solving as teams make decisions and explain their choices. The finished townscapes are displayed in the hallway so other students can view how math shapes community design.

Learning goals

Students will apply area and perimeter to design a city block that fits homes, parks, and roads within clear space constraints and explain how their measurements support their choices. They will draw and label rectangles, points, line segments, rays, angles, and parallel and perpendicular lines to create an accurate townscape layout, and some groups can extend their designs by measuring simple building volume with unit cubes. Students will solve real-world measurement problems involving distance, time, money, or materials as they plan their cityscape, revise designs when problems arise, and justify their thinking. They will collaborate to make design decisions, communicate their ideas in a hallway exhibition for other students, and reflect on how their work answers the essential question.

Standards
  • [Common Core] CCSS.Math.Content.4.MD.A.3 - Apply the area and perimeter formulas for rectangles in real world and mathematical problems.
  • [Common Core] CCSS.Math.Content.4.MD.A.2 - Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.
  • [Common Core] CCSS.Math.Content.4.G.A.1 - Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
  • [Common Core] CCSS.Math.Content.5.MD.C.4 - Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.
  • [Common Core] CCSS.Math.Practice.MP1 - Make sense of problems and persevere in solving them.
Competencies
  • Critical Thinking & Problem Solving - Students consider a variety of innovative approaches to address and understand complex questions that are authentic and important to their communities.
  • Effective Communication - Students practice listening to understand, communicating with empathy, and share their learning through exhibiting, presenting and reflecting on their work.
  • Collaboration - Students co-design projects with peers, exercise shared-decision making, strengthen relational agency, resolve conflict, and assume leadership roles.
  • Content Expertise - Students develop key competencies, skills, and dispositions with ample opportunities to apply knowledge and engage in work that matters to them.
  • Academic Mindset - Students establish a sense of place, identity, and belonging to increase self-efficacy while engaging in critical reflection and action.

Products

Students will create a scaled planning sheet with labeled rectangles for homes, parks, and roads, showing area, perimeter, and key lines and angles used in their design. They will build a final cityscape or townscape model or poster that includes measured spaces, written math justifications, and for 5th graders, simple volume features such as cube-based buildings. Throughout the week, teams will produce sketch drafts, measurement diagrams, and short problem-solving notes that document revisions and decisions. The finished projects will be displayed in the hallway with brief presentation cards so other students can view how each city block uses area and perimeter wisely.

Launch

Turn the classroom into a “city planning office” by posting a messy city block map with missing measurements, overcrowded spaces, and unsafe road layouts, then ask teams to act as planners who must fix it. Give students grid paper, string, rulers, and building cutouts to quickly test how area and perimeter affect where homes, parks, and roads can fit, while noticing lines, angles, and parallel streets. End with a short gallery walk of draft ideas and introduce the challenge: design a cityscape or townscape that uses area and perimeter wisely and will be displayed in the hallway for other students.

Exhibition

Students can mount their cityscape or townscape designs in a hallway gallery walk for other classes to visit, with each display labeled to show the area and perimeter of homes, parks, and roads. Add short student-written designer notes or QR-linked audio explanations describing how they used measurement choices wisely and solved design challenges. Invite visiting students to leave feedback or “city planner” questions on sticky notes, so teams can respond and reflect on their decisions.