Carnival Planners: A Multiplication and Division Project
Created byVictoria Galizio
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Carnival Planners: A Multiplication and Division Project

Grade 3Math3 days
In this project, third-grade students use multiplication and division to plan a school carnival, addressing how math ensures a fun and fair experience. Students calculate costs and revenues for games using multiplication and divide tasks to ensure fair participation. The project culminates in a report with recommendations to improve the carnival's fairness and enjoyment, supported by mathematical analysis.
MultiplicationDivisionCarnival PlanningFairnessTask AssignmentRevenue EstimationProblem-Solving
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Inquiry Framework

Question Framework

Driving Question

The overarching question that guides the entire project.How can we use multiplication and division to plan a school carnival that is both fun and fair for everyone involved?

Essential Questions

Supporting questions that break down major concepts.
  • How can multiplication help us plan for the carnival games and prizes?
  • How can division help us make sure everyone has a chance to help?
  • How can we use math to make sure the carnival is fun and fair for everyone?

Standards & Learning Goals

Learning Goals

By the end of this project, students will be able to:
  • Use multiplication to calculate costs/revenue for the carnival.
  • Use division to share tasks and resources fairly.
  • Apply math skills to ensure the carnival is fun and fair.

Entry Events

Events that will be used to introduce the project to students

Mystery of the Missing Carnival Tickets

The class arrives to find the carnival tickets are 'missing'! A frantic note from the principal says the carnival can't happen without them. Students must solve multiplication and division problems (clues) to find the hidden tickets and save the carnival.
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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

Carnival Blueprint: Multiplication Station

Students begin by brainstorming carnival game ideas and estimating the costs and potential revenue for each. This activity focuses on applying multiplication to real-world carnival planning.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Brainstorm a list of possible carnival games (e.g., ring toss, beanbag throw, face painting).
2. Estimate the cost of materials for each game (e.g., prizes, paint, rings).
3. Estimate the revenue each game could generate based on ticket sales. Each ticket costs $1.
4. Use multiplication to calculate the total cost and potential revenue for each game. For example, if one game needs 50 prizes and each prize costs $2, then the total cost will be 50 x $2 = $100.

Final Product

What students will submit as the final product of the activityA detailed blueprint of each carnival game, including cost and potential revenue calculations using multiplication.

Alignment

How this activity aligns with the learning objectives & standardsLearning Goal: Use multiplication to calculate costs/revenue for the carnival. Standard: Multiplication
Activity 2

Division of Labor: Fair Share Task Assignment

Students explore how division can be used to fairly assign tasks and resources for the carnival. They learn to divide responsibilities equally among team members, ensuring everyone has a chance to contribute.

Steps

Here is some basic scaffolding to help students complete the activity.
1. List all the tasks needed to run the carnival (e.g., setting up games, selling tickets, managing prizes).
2. Determine the number of students available to help with these tasks.
3. Use division to assign tasks fairly. For example, if there are 20 students and 5 tasks, each task needs 20 / 5 = 4 students.
4. Create a task assignment chart to ensure that each student has a clearly defined role.

Final Product

What students will submit as the final product of the activityA task assignment chart demonstrating how division ensures fair distribution of responsibilities.

Alignment

How this activity aligns with the learning objectives & standardsLearning Goal: Use division to share tasks and resources fairly. Standard: Division
Activity 3

Fun and Fair Analysis: Ensuring Carnival Enjoyment

Students analyze different aspects of the carnival to ensure it is fun and fair for everyone. They will use their math skills to evaluate game fairness, ticket pricing, and prize distribution, making recommendations for improvements.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Evaluate the fairness of each carnival game. Is there an equal chance for everyone to win?
2. Review the ticket pricing. Is it affordable for all students?
3. Assess the prize distribution. Are prizes awarded fairly based on game difficulty?
4. Use math to propose changes to make the carnival more enjoyable and equitable. For example, adjust the difficulty of a game to increase the winning percentage.

Final Product

What students will submit as the final product of the activityA report with recommendations on how to improve the carnival's fairness and enjoyment, using mathematical analysis to support their suggestions.

Alignment

How this activity aligns with the learning objectives & standardsLearning Goal: Apply math skills to ensure the carnival is fun and fair. Standard: Multiplication and Division
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Rubric & Reflection

Portfolio Rubric

Grading criteria for assessing the overall project portfolio

Carnival Planning Portfolio Rubric

Category 1

Multiplication: Carnival Blueprint

Evaluates the student's ability to use multiplication to calculate costs and potential revenue for carnival games.
Criterion 1

Cost Calculation Accuracy

Accuracy in calculating the total costs for each carnival game using multiplication.

Exemplary
4 Points

Calculations are accurate, and all costs are accounted for with clear explanations.

Proficient
3 Points

Calculations are mostly accurate, with minor errors or omissions. Explanations are present.

Developing
2 Points

Calculations contain significant errors, and some costs are missing. Explanations are incomplete.

Beginning
1 Points

Calculations are largely inaccurate, and many costs are not accounted for. No explanations are provided.

Criterion 2

Revenue Estimation

Realism and justification of revenue estimates for each game based on multiplication.

Exemplary
4 Points

Provides realistic revenue estimates with clear justification based on the number of tickets and price per ticket.

Proficient
3 Points

Provides revenue estimates with reasonable justification but may have minor inconsistencies.

Developing
2 Points

Provides revenue estimates but lacks sufficient justification or demonstrates inconsistencies.

Beginning
1 Points

Provides unrealistic revenue estimates with no justification.

Criterion 3

Blueprint Clarity

Clarity and organization of the game blueprints, including detailed cost and revenue information.

Exemplary
4 Points

Blueprint is exceptionally clear, well-organized, and includes all necessary cost and revenue details. Easy to understand and implement.

Proficient
3 Points

Blueprint is clear, well-organized, and includes most of the necessary cost and revenue details.

Developing
2 Points

Blueprint is somewhat disorganized, and some cost or revenue details are missing.

Beginning
1 Points

Blueprint is unclear, disorganized, and lacks essential cost and revenue details.

Category 2

Division: Fair Share Task Assignment

Evaluates the student's ability to use division to fairly assign tasks and resources for the carnival.
Criterion 1

Task Identification

Completeness in identifying all tasks needed to run the carnival.

Exemplary
4 Points

Identifies all necessary tasks to run the carnival efficiently.

Proficient
3 Points

Identifies most of the necessary tasks, with only minor omissions.

Developing
2 Points

Identifies some of the necessary tasks, but several key tasks are missing.

Beginning
1 Points

Identifies very few of the necessary tasks.

Criterion 2

Fair Task Assignment

Effectiveness of using division to assign tasks fairly among students.

Exemplary
4 Points

Uses division effectively to ensure tasks are assigned fairly and equally, maximizing student involvement.

Proficient
3 Points

Uses division to assign tasks, with minor imbalances in workload distribution.

Developing
2 Points

Attempts to use division, but the task assignments are uneven and unfair.

Beginning
1 Points

Does not use division effectively, and task assignments are highly unequal.

Criterion 3

Task Assignment Chart

Clarity and organization of the task assignment chart.

Exemplary
4 Points

Task assignment chart is exceptionally clear, well-organized, and easy to understand, showing each student's role and responsibilities.

Proficient
3 Points

Task assignment chart is clear and organized, showing most student roles and responsibilities.

Developing
2 Points

Task assignment chart is somewhat disorganized, and some student roles or responsibilities are unclear.

Beginning
1 Points

Task assignment chart is unclear, disorganized, and difficult to understand.

Category 3

Fun and Fair Analysis: Carnival Enjoyment

Evaluates the student's analysis of the carnival's fairness and enjoyment, using math to propose improvements.
Criterion 1

Fairness Evaluation

Thoroughness in evaluating the fairness of games, ticket pricing, and prize distribution.

Exemplary
4 Points

Provides a comprehensive evaluation of game fairness, ticket pricing, and prize distribution, identifying potential inequities.

Proficient
3 Points

Evaluates game fairness, ticket pricing, and prize distribution, with some consideration of potential inequities.

Developing
2 Points

Evaluates some aspects of fairness but misses key areas of potential inequity.

Beginning
1 Points

Provides a superficial evaluation of fairness with little or no consideration of potential inequities.

Criterion 2

Mathematical Justification

Use of math to support recommendations for improving fairness and enjoyment.

Exemplary
4 Points

Uses math effectively to justify all recommendations for improving fairness and enjoyment, showing clear calculations and reasoning.

Proficient
3 Points

Uses math to justify most recommendations for improving fairness and enjoyment, with minor gaps in reasoning.

Developing
2 Points

Attempts to use math, but the justification for recommendations is weak or unclear.

Beginning
1 Points

Provides recommendations without any mathematical justification.

Criterion 3

Recommendation Quality

Practicality and potential impact of recommendations on improving the carnival's fairness and enjoyment.

Exemplary
4 Points

Provides highly practical and impactful recommendations that significantly improve the carnival's fairness and enjoyment. Demonstrates innovation and deep understanding.

Proficient
3 Points

Provides practical recommendations that improve the carnival's fairness and enjoyment.

Developing
2 Points

Provides recommendations that have limited impact on the carnival's fairness and enjoyment.

Beginning
1 Points

Provides impractical or irrelevant recommendations.

Reflection Prompts

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

How did using multiplication and division help you make the carnival plan more organized and fair?

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Question 2

What was the most challenging part of planning the carnival, and how did you use math to solve it?

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Question 3

If you could plan the carnival again, what is one thing you would change to make it even better or fairer, and how would math help you do that?

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