Dilate a Mini Park on the coordinate plane using a scale factor of 2! Students apply the rule (x, y) → (2x, 2y) to enlarge multiple park structures and watch the scaled map appear as they enter correct coordinates. A hands-on way to explore similarity, scale factors, and dilations in 8th-grade geometry.
🗺️Scale Map Challenge – Dilation on the Coordinate Plane (Interactive & Auto-Graded)
Bring dilations to life with this real-world Mini Park Design Challenge!
Students act as junior city planners tasked with enlarging a park blueprint for a display board. Using a scale factor of 2, learners apply the dilation rule (x, y) → (2x, 2y) to enlarge multiple park structures—including a square pond, rectangular playground, hexagonal picnic area, triangular flower garden, and the entire park boundary.
As students enter each dilated coordinate, the enlarged version of that shape automatically appears on the graph, creating a highly visual and engaging learning experience. The worksheet reinforces proportional reasoning, similarity, scale factors, and the geometric meaning of dilation. Perfect for Grade 8 Geometry and fully aligned to CCSS 8.G.A.3.
When randomization is enabled, each student receives a unique version of the Mini Park. The shapes stay the same, but their entire positions shift randomly along the x- or y-axis—ensuring students get individualized maps while practicing the same skills. This prevents copying and encourages original thinking without altering the structure of the activity.
Give your students a memorable, visually rich experience with dilations as they scale a real park map—coordinate by coordinate!
Students will use dilations on the coordinate plane to enlarge multiple geometric figures using a common scale factor and center of dilation. They will apply the rule (x, y) → (k x, k y) to generate new coordinates, compare original and scaled figures, and explain that dilations create similar figures by preserving angle measures and proportional side lengths.
If you enable randomization, each student will receive a unique version of the Mini Park. All shapes - the playground, picnic area, flower garden, and park boundary—will stay the same size and shape, but the entire park layout will shift to a different position on the coordinate plane. The coordinates of every point will change accordingly, ensuring that each student works with a different map while practicing the same dilation skills. This prevents copying and creates a personalized learning experience for every learner.
💡 Tip: When assigning this activity to your classroom, you can optionally enable randomization to give each student a unique version of the problems. When you re-assign the same worksheet, each student will get a new set of questions, helping them master the content through repeated practice.
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
All 8.G.A.3 activities →More interactive, auto-graded activities on the same standards and topics.
-Turn the Pythagorean theorem into a treasure hunt. In this story-driven Grade 8 lab, students decode a navigator's secret map, measure a hidden island, repair a ship, and triangulate buried treasure. Five auto-graded activities, ~4-5 class periods, covering 8.G.A.3, 8.G.B.6, 8.G.B.7, and 8.G.B.8. Run it right after introducing the theorem.
Students read 20 fun statements and choose the ones that describe them. For each, they find the matching point on a graph and enter its coordinates. As they do, a unique shape forms on the coordinate plane. This back-to-school activity falls under Geometry and helps students practice plotting points while expressing themselves.
Turn the distance formula into something students can see. On an interactive coordinate grid, students read two points, build the horizontal and vertical legs, and watch a right triangle form before applying the Pythagorean Theorem to find the distance. Ten auto-graded problems progress from clean whole-number triangles to mixed-quadrant challenges. Aligned to 8.G.B.8.
Step into the role of a construction engineer! In this hands-on geometry lab, students estimate costs for concrete, flooring, painting, HVAC, roofing, landscaping, and more using real-world floor plans. Covers area, volume, surface area, and unit conversions. Auto-graded and perfect for 7th grade classrooms.
Rotate shapes on the coordinate plane to discover how orientation changes while size and shape stay the same. In this interactive worksheet, students apply rotation rules for 90°, 180°, and 270° turns about the origin, record new coordinates, and visualize that rotations create congruent figures.
Estimate metal strap bracing for a house by analyzing a floor plan and using the Pythagorean Theorem. Students measure exterior wall lengths, calculate diagonal brace lengths, and compute total material needed. A hands-on, real-world construction task that strengthens geometry and problem-solving skills.
