Equation Quest: Solve and Conquer!

7th Grade Project 4 weeks

Equation Quest: Solve and Conquer!

Christina K

CCSS.Math.Content.7.EE.B.4

CCSS.Math.Content.7.NS.A.3

CCSS.Math.Content.7.EE.B.3

CCSS.Math.Content.7.EE.A.1

CCSS.Math.Content.7.EE.A.2

+ 1 more

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Purpose

The purpose of this project is to deepen students' understanding of equations and inequalities by connecting them to real-world scenarios through an engaging, hands-on community service project. Students will take on the roles of problem solvers and planners, applying mathematical concepts to design and implement events like a School Garden Initiative or Healthy Snack Stand, directly addressing community needs. This initiative encourages critical thinking and nurtures students' ability to make innovative connections between mathematical learning and meaningful community involvement.

Learning goals

Students will learn to apply equations and inequalities to real-world scenarios, focusing on community service projects. They will develop skills in problem-solving and critical thinking by designing and analyzing mathematical models related to budget constraints and resource allocation. Through collaborative activities, students will refine their ability to translate verbal descriptions into algebraic expressions, while the use of peer feedback will enhance their understanding and adaptability. By the end of the project, students will confidently articulate the role of mathematics in planning and executing successful community initiatives.

Standards

[Common Core] CCSS.Math.Content.7.EE.B.4 - Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
[Common Core] CCSS.Math.Content.7.NS.A.3 - Solve real-world and mathematical problems involving the four operations with rational numbers.
[Common Core] CCSS.Math.Content.7.EE.B.3 - Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.
[Common Core] CCSS.Math.Content.7.EE.A.1 - Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
[Common Core] CCSS.Math.Content.7.EE.A.2 - Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.

Competencies

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

Students will collaboratively plan and execute a 'School Garden Initiative', using equations to design the layout and calculate resource needs, culminating in a community showcase event. OR students will organize a 'Charity Sports Event', applying inequalities to determine schedules and logistics and then presenting their outcomes at an in-house exhibition. OR students will implement a 'Healthy Snack Stand' project where students use their budgeting equations to manage inventory, showcasing their process during a school fundraising exhibition. These projects offer an opportunity for practical application and community engagement, encapsulating their newfound mathematical skills.

Launch

Kick off the project with an interactive 'Mathematical Escape Room' event where students work in teams to solve equations and inequalities that unlock key elements of organizing a community service project, such as budgeting, scheduling, and resource allocation. This engaging activity will immediately set the context for how mathematical concepts translate into real-world applications, energizing students with a hands-on challenge that introduces the skills they will develop over the course of the project.

Exhibition

Students will host a showcase event where they can present their community service project proposals featuring mathematical models. During the exhibition, they will demonstrate their understanding by explaining how equations and inequalities were used to predict outcomes and allocate resources. Attendees, including school principals, teachers, and community members, can engage with students through interactive stations highlighting different aspects of their projects, such as the school garden initiative and charity sports event planning.

Learning Journey

Ask

Students will explore real-world community issues to identify a specific problem they care about, define the mathematical concepts needed to address it, and outline constraints they must work within over the next three days.

Days 1 - 3

Constraints and Concepts Mapping

Activity 45m

Problem Statement Drafting

Activity 60m

Mathematical Concepts and Constraints Outline Presentation

Assessment

Imagine

Students will collaboratively brainstorm and draft multiple equations and inequalities representing different community needs and constraints, engaging in discussions to explore imaginative solutions for their community-focused project.

Days 3 - 5

45 min over capacity (120 min available across 3 days)

Community Project Brainstorming Workshop

Activity 90m

Equation Draft Peer Review

Deliverable 30m

Interactive Feedback Forum

Deliverable 45m

Plan

Students will formulate and outline a detailed community service project plan, translating their solution ideas into equations and inequalities to predict outcomes and allocate resources effectively, readying them for the creation phase.

Days 5 - 7

Refining Mathematical Models

Activity 45m

Peer Feedback Session

Deliverable 45m

Mathematical Planning Report

Assessment

Create

Students will use equations and inequalities to build a prototype plan for their chosen community service project, apply rational number operations to ensure feasibility and alignment with initial ideas, and document their progress in reflective journals.

Days 7 - 9

Equation and Inequality Workshops

Activity 60m

Peer Feedback Session on Prototype Plans

Deliverable 60m

Reflective Journal Submission

Assessment

Test

Students will conduct tests on their community service project proposals by applying and solving equations and inequalities to validate the feasibility of budget, resource allocation, and timelines, ensuring accuracy and practicality of their plans.

Days 9 - 11

Peer Review: Budget and Timeline Drafts

Deliverable 45m

Interactive Inequality Problem Solving

Activity 45m

Timeline Validation Presentation

Assessment

Budget Feasibility Analysis

Assessment

Improve

Students will collaboratively analyze feedback on their project proposals, refine their equations and inequalities to enhance accuracy and relevance, and iteratively test adjustments to improve the overall viability and impact of their community service project plans.

Days 11 - 13

105 min over capacity (120 min available across 3 days)

Iterative Model Revision Session

Activity 90m

Peer Feedback Workshop

Deliverable 60m

Analytical Strategies Discussion

Activity 45m

Self-Reflection Journals

Deliverable 30m

Share

Students will present their community project proposals using equations and inequalities, share insights gained throughout the learning journey, and reflect on the application of mathematical solutions in real-world contexts during an exhibition event with peers and teachers.

Days 13 - 14

25 min over capacity (80 min available across 2 days)

Reflective Journal Workshop

Deliverable 45m

Interactive Exhibit Rehearsal

Activity 60m

Reflective Journal Entry

Assessment

Plan

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Equation Quest: Solve and Conquer!

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