Students will design a "dreamhouse" for a classmate, integrating mathematical concepts of area, perimeter, and measurement. Through this project, they will apply real-world skills in economics to calculate construction costs, fostering critical thinking and problem-solving. This hands-on experience encourages self-directed learning and academic mindset development as students collaborate, reflect, and adapt their designs to meet specific needs and budgets.
Learning goals
Students will design a dreamhouse for a classmate, applying mathematical concepts of area and perimeter to create a blueprint that meets specific needs and budgets. They will use customary units to calculate costs, integrating economics to determine the feasibility of their designs. Through self-directed learning, students will reflect on their progress, utilize feedback, and adjust their plans accordingly. They will develop an academic mindset by establishing a sense of identity and belonging within the project, fostering self-efficacy. Critical thinking and problem-solving skills will be honed as students explore various innovative approaches to address complex questions related to architecture and budgeting.
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.MD.C.6 - Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.
Competencies
Self Directed Learning - Students use teacher and peer feedback and self-reflection to monitor and direct their own learning while building self knowledge both in and out of the classroom.
Academic Mindset - Students establish a sense of place, identity, and belonging to increase self-efficacy while engaging in critical reflection and action.
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.
Products
Throughout the project, students will create detailed blueprints of their "dreamhouse" designs, incorporating accurate measurements of area and perimeter. They will also develop a budget proposal that includes the costs of materials and construction, demonstrating their understanding of economic principles. By the end of the project, students will present their designs and budget plans in a mock real estate showcase, using persuasive communication skills to explain how their designs meet specific needs and budgets.
Launch
Begin the project by inviting students to imagine their dream house and sketch a rough design on paper. Host a virtual tour of unique homes around the world, highlighting how architects use math in their designs. Encourage students to discuss what features they would include in their dream house and why, fostering a sense of identity and belonging. This activity sets the stage for understanding the real-world application of area, perimeter, and economic considerations in home design.
Exhibition
At the end of the project, students will present their "dreamhouse" designs to classmates and invited guests, such as parents or school staff, in a gallery walk format. Each student will display their house plans, including calculations for area, perimeter, and estimated building costs, alongside a brief explanation of their design choices. Attendees will have the opportunity to ask questions and provide feedback, allowing students to engage in meaningful dialogue about their mathematical and creative processes. This exhibition will celebrate students' learning and creativity, fostering a sense of accomplishment and community connection.
