
Garden Geometry Art: Design and Calculate
Inquiry Framework
Question Framework
Driving Question
The overarching question that guides the entire project.How can we effectively utilize geometric concepts to design a visually appealing and functional garden layout?Essential Questions
Supporting questions that break down major concepts.- How can different shapes be used to design a garden?
- What is the relationship between shape, area, and perimeter in garden layout design?
- How do you calculate the area and perimeter of shapes in a garden layout?
- How does geometry influence art and design specifically in the context of gardening?
- How can mathematical calculations help in creating effective and visually appealing garden designs?
Standards & Learning Goals
Learning Goals
By the end of this project, students will be able to:- Students will be able to identify and classify different geometric shapes and explain their properties.
- Students will calculate the area and perimeter of various shapes to understand their dimensions in a real-world garden context.
- Students will apply geometric concepts to create a functional and aesthetically pleasing garden layout.
- Students will explore the relationship between shapes, area, and perimeter, and how these concepts apply to garden design.
- Students will integrate mathematical calculations with artistic design principles to create a visually appealing garden plan.
Common Core Standards
Entry Events
Events that will be used to introduce the project to studentsVirtual Garden Tour
Begin with a captivating virtual tour of famous gardens around the world highlighting their unique geometric patterns. As students marvel at global garden designs, they are tasked with uncovering how geometry is used across cultures to create aesthetically pleasing spaces, prompting them to think about how they can incorporate these ideas into their own projects.Portfolio Activities
Portfolio Activities
These activities progressively build towards your learning goals, with each submission contributing to the student's final portfolio.Shape Hunting Safari
Students embark on a fun exploration to identify and classify different geometric shapes in their surroundings, both in and out of the classroom. This sets the baseline for understanding shape properties, which is crucial for designing garden layouts.Steps
Here is some basic scaffolding to help students complete the activity.Final Product
What students will submit as the final product of the activityA portfolio of sketches highlighting identified geometric shapes with their classified properties.Alignment
How this activity aligns with the learning objectives & standardsAligns with CCSS.MATH.CONTENT.4.G.A.1 by teaching students to classify shapes by properties of their lines and angles.Perimeter Pathfinders
Students learn to calculate the perimeter of garden paths by using actual measurements and applying formulas, which is the foundation for planning pathways in their own garden designs.Steps
Here is some basic scaffolding to help students complete the activity.Final Product
What students will submit as the final product of the activityA set of calculated perimeters for real-world spaces, documented in their project journals.Alignment
How this activity aligns with the learning objectives & standardsAligns with CCSS.MATH.CONTENT.4.MD.A.3 by applying perimeter formulas in real-world situations.Area Architects
Students develop the skill of calculating area by designing simple garden plots on graph paper, reinforcing their grasp of area calculation for their garden project.Steps
Here is some basic scaffolding to help students complete the activity.Final Product
What students will submit as the final product of the activityGraph paper designs of garden plots with detailed area calculations for each section.Alignment
How this activity aligns with the learning objectives & standardsAligns with CCSS.MATH.CONTENT.4.MD.A.3 by teaching area calculations using real-world applications.Garden Grid Designers
Students blend their knowledge of shapes, area, and perimeter to create a garden layout, considering both functionality and aesthetics, on a large grid paper.Steps
Here is some basic scaffolding to help students complete the activity.Final Product
What students will submit as the final product of the activityA comprehensive garden layout plan on large grid paper that includes calculations of area and perimeter for each section, annotated with design notes.Alignment
How this activity aligns with the learning objectives & standardsIntegrates CCSS.MATH.CONTENT.4.G.A.1 and CCSS.MATH.CONTENT.4.MD.A.3 by requiring students to draw and classify shapes, and apply formulas for area and perimeter in a comprehensive design project.Rubric & Reflection
Portfolio Rubric
Grading criteria for assessing the overall project portfolioGarden Geometry Design Rubric
Geometric Understanding
Evaluates the student's ability to recognize and classify geometric shapes, and apply these concepts in a practical setting.Shape Recognition
Ability to identify and classify geometric shapes by their properties such as sides and angles.
Exemplary
4 PointsAccurately identifies and classifies all geometric shapes, demonstrating comprehensive understanding of their properties.
Proficient
3 PointsCorrectly identifies and classifies most geometric shapes, showing a thorough understanding of their properties.
Developing
2 PointsIdentifies and classifies some geometric shapes with partial understanding of their properties.
Beginning
1 PointsStruggles to identify and classify geometric shapes, showing limited understanding of their properties.
Application of Geometric Concepts
Ability to apply geometric concepts effectively in real-world contexts, such as garden design.
Exemplary
4 PointsApplies geometric concepts innovatively and effectively, enhancing the practical and aesthetic aspects of the garden design.
Proficient
3 PointsApplies geometric concepts appropriately in garden design, contributing to practical and aesthetic outcomes.
Developing
2 PointsApplies some geometric concepts with inconsistency, impacting the garden design's practicality and aesthetics.
Beginning
1 PointsStruggles to apply geometric concepts, with minimal impact on the garden design.
Mathematical Calculation
Assesses the student's ability to accurately calculate area and perimeter as part of their garden layout design.Area Calculation
Accuracy in calculating the area of various shapes within the garden design.
Exemplary
4 PointsCalculates area with precision and accuracy across all shapes, demonstrating a deep understanding of the formulas used.
Proficient
3 PointsCalculates area accurately for most shapes, demonstrating a good understanding of the formulas.
Developing
2 PointsCalculates area with partial accuracy, showing some understanding of the formulas.
Beginning
1 PointsStruggles with area calculation, showing minimal understanding of the formulas.
Perimeter Calculation
Accuracy in calculating the perimeter of various sections in the garden layout.
Exemplary
4 PointsCalculates perimeter with precision and accuracy for all sections, demonstrating mastery of the formulas used.
Proficient
3 PointsCalculates perimeter accurately for most sections, demonstrating a solid understanding of the formulas.
Developing
2 PointsCalculates perimeter with some accuracy, indicating a developing understanding of the formulas.
Beginning
1 PointsStruggles with perimeter calculation, demonstrating limited understanding of the formulas.
Design Creativity and Aesthetics
Evaluates the creativity and aesthetic appeal of the garden design.Innovative Design
Creativity in combining geometric shapes to create a unique and functional garden layout.
Exemplary
4 PointsPresents a highly innovative and visually appealing garden layout that creatively uses geometric shapes.
Proficient
3 PointsPresents a visually appealing garden layout with effective use of geometric shapes.
Developing
2 PointsPresents a garden layout with some creativity and visual appeal, showing basic use of geometric shapes.
Beginning
1 PointsPresents a garden layout with limited creativity and visual appeal, showing minimal use of geometric shapes.
Aesthetic Integration
Ability to integrate functionality with aesthetic principles in the garden design.
Exemplary
4 PointsSuccessfully integrates functionality and visual appeal, creating a balanced and attractive garden design.
Proficient
3 PointsIntegrates functionality and aesthetics effectively in the garden design.
Developing
2 PointsShows partial integration of functionality and aesthetics, affecting the garden design's effectiveness.
Beginning
1 PointsStruggles to integrate functionality and aesthetics, limiting the effectiveness of the garden design.