Playground Design Challenge: Math in Motion
Created byHayley Genthner
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Playground Design Challenge: Math in Motion

Grade 2Math5 days
In this project, second-grade students take on the role of playground designers tasked with redesigning their school's broken playground. Using their knowledge of addition, subtraction, and place value, students must choose equipment, calculate costs, and stay within a budget. The project culminates in a presentation of their playground design, showcasing their understanding of mathematical concepts and real-world problem-solving skills. Students will also reflect on their design choices and the challenges they faced during the project.
Playground DesignAdditionSubtractionBudgetingPlace ValueProblem-SolvingReal-World Application
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Inquiry Framework

Question Framework

Driving Question

The overarching question that guides the entire project.How can we design a playground that is fun, safe, and within budget, using our knowledge of addition, subtraction, and place value to calculate costs and materials?

Essential Questions

Supporting questions that break down major concepts.
  • How can we use addition and subtraction to plan our playground?
  • How does understanding place value help us calculate the cost and materials for the playground?
  • How can we represent our playground design and its costs effectively?

Standards & Learning Goals

Learning Goals

By the end of this project, students will be able to:
  • Apply addition and subtraction within 1000 to calculate playground costs.
  • Use place value understanding to determine the quantity of resources.
  • Design a playground plan, accounting for budget and resource constraints.

Common Core Standards

2.NBT.B.7
Primary
Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds.Reason: Directly involves addition and subtraction within 1000, which aligns with the project's focus on calculating costs and materials.

Entry Events

Events that will be used to introduce the project to students

The Broken Playground

The current school playground is falling apart! The principal tasks your class with redesigning it. Students must assess the damage, propose new equipment, and calculate costs, all while adhering to a strict budget using their math skills.
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Portfolio Activities

Portfolio Activities

These activities progressively build towards your learning goals, with each submission contributing to the student's final portfolio.
Activity 1

Playground Inventory Ace

Students begin by assessing the current state of the 'broken' playground. They will count and categorize existing equipment, noting what needs replacement or repair. This activity introduces them to the real-world application of their math skills.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Visit the existing playground with a clipboard and worksheet.
2. Count and record the number of swings, slides, benches, etc.
3. Note any equipment that is broken or needs repair.
4. Categorize equipment by type (e.g., swinging, sliding, climbing).

Final Product

What students will submit as the final product of the activityA detailed inventory list of the current playground equipment, with notes on its condition.

Alignment

How this activity aligns with the learning objectives & standardsCovers 2.NBT.B.7 by setting the stage for subtraction (removing broken equipment) and addition (adding new equipment).
Activity 2

Dream Playground Blueprint

Students brainstorm their ideal playground. They will sketch their design, including various equipment and features they want to incorporate. This activity encourages creativity while grounding it in the context of the project.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Brainstorm playground equipment ideas (slides, swings, climbing structures, etc.).
2. Sketch a design of their dream playground on paper.
3. Label each piece of equipment in their design.
4. Estimate the space needed for each piece of equipment.

Final Product

What students will submit as the final product of the activityA colorful blueprint of their dream playground design, labeled with equipment names.

Alignment

How this activity aligns with the learning objectives & standardsPrepares students for applying addition and subtraction by visualizing the components of their playground design.
Activity 3

Equipment Cost Calculator

Students research the cost of different playground equipment. They will use catalogs or online resources to find prices and calculate the total cost of their dream playground. This activity directly applies addition skills within 1000.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Provide students with a catalog or access to online resources featuring playground equipment and prices.
2. Students select equipment from their blueprint and find the corresponding prices.
3. Students use addition to calculate the total cost of their selected equipment.
4. Record the cost of each item and the total cost in a table.

Final Product

What students will submit as the final product of the activityA detailed cost breakdown of their dream playground, including individual item prices and the total cost.

Alignment

How this activity aligns with the learning objectives & standardsDirectly aligns with 2.NBT.B.7 by requiring students to add within 1000 to calculate the total cost of the playground equipment.
Activity 4

Budget Balancing Act

Students are given a budget for the playground project. They must revise their initial design to fit within the budget, making choices about which equipment to include or exclude based on cost. This activity reinforces both addition and subtraction skills.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Present students with a budget for the playground project (e.g., $800).
2. Compare the total cost of their dream playground with the given budget.
3. If the cost exceeds the budget, students must remove or substitute equipment to lower the total cost.
4. Recalculate the total cost after making changes, ensuring it fits within the budget.

Final Product

What students will submit as the final product of the activityA revised playground design and cost breakdown that fits within the given budget, showing which equipment was chosen and why.

Alignment

How this activity aligns with the learning objectives & standardsDirectly aligns with 2.NBT.B.7 by requiring students to add and subtract within 1000 to manage the playground budget effectively.
Activity 5

Presentation of Plans

Students present their final playground designs to the class, explaining their choices and how they stayed within budget. This activity enhances their communication skills and reinforces their understanding of the mathematical concepts involved.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Prepare a short presentation explaining their playground design and cost breakdown.
2. Explain why they chose specific equipment and how they managed to stay within budget.
3. Present their design to the class.
4. Answer questions from classmates and the teacher about their design and budget.

Final Product

What students will submit as the final product of the activityA presentation showcasing their playground design, cost breakdown, and justification for their choices.

Alignment

How this activity aligns with the learning objectives & standardsReinforces 2.NBT.B.7 by requiring students to explain their addition and subtraction strategies in a real-world context.
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Rubric & Reflection

Portfolio Rubric

Grading criteria for assessing the overall project portfolio

Playground Design Project Rubric

Category 1

Mathematical Accuracy

This category assesses the accuracy of calculations and the correct application of mathematical concepts related to addition, subtraction, and place value.
Criterion 1

Addition and Subtraction

Accuracy in adding and subtracting costs and quantities related to playground equipment.

Exemplary
4 Points

All addition and subtraction calculations are accurate and clearly presented with detailed steps. Demonstrates a thorough understanding of mathematical concepts.

Proficient
3 Points

Most addition and subtraction calculations are accurate. Minor errors may be present, but the overall understanding of mathematical concepts is evident.

Developing
2 Points

Some addition and subtraction calculations are accurate, but there are noticeable errors. Demonstrates a basic understanding of mathematical concepts.

Beginning
1 Points

Addition and subtraction calculations contain significant errors. Struggles to apply mathematical concepts accurately.

Criterion 2

Budget Management

Effective management of the playground budget, including adjustments to stay within the allocated amount.

Exemplary
4 Points

Demonstrates excellent budget management skills by creating a design that is within budget and strategically choosing equipment. Shows a clear understanding of cost-benefit analysis.

Proficient
3 Points

Effectively manages the budget and makes reasonable adjustments to stay within the allocated amount. A good understanding of cost is demonstrated.

Developing
2 Points

Attempts to manage the budget, but struggles to stay within the allocated amount. Adjustments may be insufficient or not well-justified.

Beginning
1 Points

Fails to manage the budget effectively and significantly exceeds the allocated amount. Little or no attempt is made to adjust the design based on cost.

Category 2

Design and Creativity

This category assesses the creativity, feasibility, and overall quality of the playground design.
Criterion 1

Playground Design

The overall design of the playground, including the selection and arrangement of equipment.

Exemplary
4 Points

The playground design is highly creative, innovative, and well-organized. It includes a variety of equipment that promotes different types of play and is logically arranged. The design reflects a deep understanding of playground design principles.

Proficient
3 Points

The playground design is creative and well-organized. It includes a variety of equipment and is logically arranged. The design reflects a good understanding of playground design principles.

Developing
2 Points

The playground design shows some creativity but may lack organization. The selection of equipment may be limited, and the arrangement may not be logical. The design demonstrates a basic understanding of playground design principles.

Beginning
1 Points

The playground design lacks creativity and organization. The selection of equipment is limited, and the arrangement is illogical. The design shows little to no understanding of playground design principles.

Criterion 2

Presentation Clarity

Clarity and organization of the presentation, including visual aids and explanations.

Exemplary
4 Points

The presentation is exceptionally clear, well-organized, and engaging. Visual aids are used effectively to enhance understanding. The student confidently explains their design choices and budget management strategies.

Proficient
3 Points

The presentation is clear, well-organized, and engaging. Visual aids are used effectively. The student explains their design choices and budget management strategies.

Developing
2 Points

The presentation is somewhat clear and organized, but there may be areas that are confusing or lack detail. Visual aids may be limited or not used effectively. The student attempts to explain their design choices and budget management strategies.

Beginning
1 Points

The presentation is unclear, disorganized, and difficult to follow. Visual aids are lacking. The student struggles to explain their design choices and budget management strategies.

Category 3

Real-World Application

Demonstrates an understanding of real-world constraints and considerations in playground design.
Criterion 1

Justification of Choices

Explanation and justification of the equipment choices based on budget, safety, and play value.

Exemplary
4 Points

Provides a comprehensive and insightful justification for all equipment choices, considering budget, safety, play value, and accessibility. Demonstrates a strong understanding of real-world considerations.

Proficient
3 Points

Provides a clear justification for most equipment choices, considering budget, safety, and play value. Demonstrates a good understanding of real-world considerations.

Developing
2 Points

Provides some justification for equipment choices, but the reasoning may be incomplete or unclear. Demonstrates a basic understanding of real-world considerations.

Beginning
1 Points

Provides little to no justification for equipment choices. Demonstrates a limited understanding of real-world considerations.

Criterion 2

Problem-Solving

Ability to solve problems and make informed decisions when faced with budget constraints or design challenges.

Exemplary
4 Points

Demonstrates exceptional problem-solving skills by creatively addressing budget constraints and design challenges. Proposes innovative solutions and makes well-informed decisions that enhance the overall playground design.

Proficient
3 Points

Demonstrates effective problem-solving skills by addressing budget constraints and design challenges. Proposes reasonable solutions and makes informed decisions.

Developing
2 Points

Attempts to solve problems related to budget constraints and design challenges, but the solutions may be incomplete or not well-reasoned. Requires some guidance.

Beginning
1 Points

Struggles to solve problems related to budget constraints and design challenges. Requires significant guidance and support.

Reflection Prompts

End-of-project reflection questions to get students to think about their learning
Question 1

What was the most challenging part of designing the playground and staying within budget?

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Question 2

How did your understanding of addition and subtraction help you make decisions about the playground design?

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Question 3

If you could redesign the playground again, what would you do differently?

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Question 4

How confident are you in your ability to add and subtract within 1000 after completing this project?

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Question 5

Which piece of equipment did you have to remove or change to stay within budget, and why?

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