Scale Drawings PBL Project — Design Your Dream Bedroom | 7th Grade Math 7.G.A.1

⭐ SCALE DRAWINGS PBL PROJECT — DREAM BEDROOM BLUEPRINT | GRADE 7 MATH

Make scale drawings memorable with this 53-page Project-Based Learning unit aligned to CCSS 7.G.A.1. Instead of practicing scale factors only through isolated worksheets, students step into the role of junior interior designers and apply scale drawing, measurement, proportional reasoning, area, and real-world cost calculations through a multi-day bedroom design challenge.

Across 5 days, students analyze architectural blueprints, select furniture using real-world dimensions, create a scaled floor plan, reproduce the drawing at a new scale, explore the k² area relationship, calculate paint and flooring costs, and present and defend their mathematical decisions in a gallery walk.

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📘 **Teacher Introduction — 2 Pages** Standards alignment, learning targets, essential/driving questions, and formative assessment guidance.

🗓️ **5-Day Pacing Guide — 2 Pages** Daily mini-lessons, applied work, wrap-ups, and a materials checklist.

🧩 **Differentiation Guide — 2 Pages** Three scale tiers with scaffolding, extension, and ELL strategies.

📗 **Student Project Packet — 12 Pages** Day 1–5 worksheets, vocabulary, worked examples, furniture-selection charts, drawing workspace, cost calculator, presentation planner, and self-reflection.

🪑 **Editable Furniture Catalog — 2 Pages** 20 furniture items with real-world dimensions, top-view icons, and category summary.

📐 **3 Grid Paper Versions — 3 Pages** • Modified: 1" = 1' • On-Level: ½" = 1' • Challenge: ¼" = 1'

📊 **4-Criterion Analytic Rubric — 2 Pages** Scale Accuracy, Calculations, Design Quality, and Presentation, with four performance levels and a scoring sheet.

📝 **Solutions & Answer Key — 8 Pages** Conversion charts, area analysis, cost solutions, two full student exemplars, an 8-common-errors table, and a reteaching protocol.

⭐ **Cover + Review Request — 2 Pages**

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**Day 1 — Read & Analyze Blueprints** Students read and analyze real architectural-style blueprints.

**Day 2 — Select Furniture** Students use the 20-item editable furniture catalog and work with real-world dimensions.

**Day 3 — Create the Scale Drawing** Students draft their own bedroom floor plan using differentiated grid paper.

**Day 4 — Reproduce at a New Scale** Students reproduce their drawing at a different scale and explore the relationship between scale factor and area.

**Day 5 — Calculate Costs & Present** Students calculate paint and flooring costs based on area, then present and defend their mathematical reasoning during a gallery walk.

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• Solve problems involving scale drawings

• Calculate actual lengths and areas from scale drawings

• Reproduce a scale drawing at a different scale

• Apply proportional relationships to scale factors

• Use area calculations in real-world contexts

• Solve multi-step cost problems

• Model and communicate mathematical reasoning

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**CCSS 7.G.A.1** — Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

**CCSS 7.RP.A.2** — Recognize and represent proportional relationships, including understanding the scale factor as a constant of proportionality.

**CCSS 7.EE.B.3** — Solve multi-step real-life problems with rational numbers, including the cost-calculation extension.

**Mathematical Practices:** MP.1, MP.2, MP.4, MP.5, and MP.6 are embedded throughout the project.

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Three grid-paper versions provide different levels of challenge while targeting the same standard:

**Modified — 1" = 1'** Scale factor 1/12; intended for students needing additional support.

**On-Level — ½" = 1'** Scale factor 1/24; designed for grade-level 7th graders.

**Challenge — ¼" = 1'** Scale factor 1/48; designed for advanced students and early finishers.

The unit also includes ELL sentence frames, scaffolding strategies, extension ideas, and a reteaching/re-do protocol.

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• Print at 100% scale rather than "fit to page" so grid measurements remain accurate

• Student pages are designed to print cleanly on a standard printer

• Editable furniture catalog allows teachers to swap in items students can measure themselves

• No additional preparation required beyond printing and assembling the materials

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• 7th grade math classrooms

• 8th grade scale-drawing review or remediation

• Math intervention and special education using the Modified tier

• Homeschool multi-day applied math projects

• Gifted and enrichment programs using the Challenge tier

• Cross-curricular math connections with architecture, interior design, and CTE

📁 FILE FORMAT

• 1 PDF • 53 pages • Printable • Vector-quality graphics • Embedded fonts • UM Printables branding throughout

⚠️ LICENSE & COPYRIGHT

© UM Printables. Single-classroom license. Additional licenses are available at a discount for colleagues. The resource may not be uploaded to the internet, shared drives, or public websites without written permission.