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8th Grade Mathematics Project-based Learning

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Will Hardy

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Mathematics in Real Life: Designing a Budget-Friendly Vacation

5- Nine Elements of PB Leraning

1- Summary

2- Description of Learners

6- Assessment plan

3- ISTE Standards

4- Technology/ Material List

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In this project-based learning experience, students will explore mathematical concepts through planning a vacation within a budget, and applying their math skills to real-life scenarios.

Summary

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Individuality: Each student has unique interests, strengths, and areas for improvement. The project-based learning approach can align with these differences by offering choices and flexibility in tasks.
Technologically Proficient: 8th graders are typically comfortable using technology in their learning process. They often have experience with digital tools and can navigate online resources efficiently.
Mathematical Proficiency: Students at this level have developed foundational mathematical skills and are capable of handling more complex concepts like linear equations, functions, and problem-solving strategies.

Characteristics:

Grade: 8thAge: Typically 13 to 14

Description of Learners

Standards

1. Standard MS.CCR.M.8.EE.8Description: Analyze and solve pairs of simultaneous linear equations.Integration: Encourage students to represent different expenses of the vacation as variables.2. Standard MS.CCR.M.8.F.4Description: Construct a function to model a linear relationship between two quantities.Integration: Students can create linear functions to model relationships between the quantity of a certain expense.

State Standards (MS):

1. Standard: 1cDescription: Students use technology to seek feedback that informs and improves their practice and to demonstrate their learning in a variety of ways.Integration: Students can utilize digital tools to gather feedback on their vacation plans, such as peer reviews using collaborative platforms or feedback forms through online surveys. 2. Standard: 5a Description: Students use technology to gather, evaluate, and use information. Integration: Emphasize the use of technology for research purposes, guiding students to evaluate the reliability of online sources when gathering information for their vacation plans.
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ISTE Standards:

Technology Integration: Research: Students will use the internet to gather information on travel costs, accommodations, and activities. Spreadsheet Software: They will utilize software like Google Sheets or Microsoft Excel to organize and calculate their budget plans. Presentation: Digital platforms like PowerPoint or Google Slides will be used for the final presentations.
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Students: Computers or tablets, internet access, spreadsheet software (e.g., Google Sheets, Microsoft Excel)
Teacher: Projector, computer, whiteboard, access to budgeting templates, and math software.

Technology and material list

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  • Anchor: Introduce the project through a real-life scenario video or presentation, highlighting the importance of budgeting and mathematical calculations in planning a vacation.
  • Task: Students will design a vacation plan within a given budget constraint, considering factors like travel expenses, accommodations, activities, and meals.
  • Directions: Detailed guidelines will be provided via a digital handout and explained in class through examples and step-by-step instructions.
  • Student Choices: Students will have the freedom to select their destination, accommodations, and activities while staying within the assigned budget.
  • Student Inquiry: Research on travel costs, accommodations, and activities will be encouraged, fostering independent investigation.
  • Collaboration and Teamwork: Collaborative groups will be formed to share ideas, discuss strategies, and assist each other in problem-solving.
  • Teacher Coaching and Feedback: Regular check-ins, Q&A sessions, and feedback loops will be conducted to guide students in their mathematical calculations and budgeting.
  • Student Reflection: Students will reflect on their decision-making process, challenges faced, and strategies used in staying within budget constraints.
  • Public Presentation: Students will present their vacation plans, explaining their mathematical calculations and rationale for their choices.

Nine Elements of Project-based Learning

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  • Budgeting Accuracy and Mathematical Calculations (25%)
  • Creativity and Thoughtful Selection of Vacation Components (20%)
  • Adherence to Budget Constraints (20%)
  • Collaboration and Teamwork within the Group (15%)
  • Reflection and Self-Assessment (10%)
  • Presentation Quality and Clarity (10%)
Final Grade Calculation: Total points earned out of 100%.

Assessment Plan