Created byVictoria Charity

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Place Value Game: Million Dollar Design

Grade 5Math1 days

In this project, fifth-grade students design a board game to teach others about place value, comparing and ordering numbers. Students will create a place value chart, brainstorm game mechanics, design a game board, and write a rulebook. The game should incorporate number comparison challenges to reinforce place value concepts.

Place ValueBoard Game DesignNumber ComparisonGame MechanicsRulebookMath

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Inquiry Framework

Question Framework

Driving Question

The overarching question that guides the entire project.How can we design a fun and engaging board game that teaches others how the position of a digit affects its value and how place value is used to compare and order numbers?

Essential Questions

Supporting questions that break down major concepts.

How does the position of a digit affect its value?
How can place value be used to compare and order numbers?
How can a game be designed to reinforce understanding of place value?

Standards & Learning Goals

Learning Goals

By the end of this project, students will be able to:

Identify the place value of digits up to 10 million.
Compare and order numbers based on place value.
Design a board game that reinforces place value concepts.

Entry Events

Events that will be used to introduce the project to students

The Mystery Check

A mysterious, oversized check arrives, made out for an astronomical amount. The digits are clear, but the written amount is smudged. Students must use their place value knowledge to determine if the check is legitimate and how much it's worth, sparking a discussion about real-world finances.

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Portfolio Activities

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

Activity 1

Place Value Chart Builders

Students create a place value chart to reinforce understanding of place values up to 10 million. This chart will be used as a reference throughout the game design process.

Steps

Here is some basic scaffolding to help students complete the activity.

1. Draw a table with columns labeled: Ones, Tens, Hundreds, Thousands, Ten Thousands, Hundred Thousands, Millions, Ten Millions.

2. In each column, write the numerical value (e.g., 1, 10, 100, 1000, etc.).

3. Beneath each numerical value, provide an example of a number that falls into that place value (e.g., for Thousands, you could write 3,456).

Final Product

What students will submit as the final product of the activityA completed place value chart, labeled from ones to ten millions, with examples of numbers in each place value.

Alignment

How this activity aligns with the learning objectives & standardsIdentify the place value of digits up to 10 million (ones, tens, hundreds, thousands, ten thousand, hundred thousand, and millions).

Activity 2

Game Mechanic Brainstorm

Students brainstorm game mechanics that utilize place value concepts. They will explore different ways players can earn points or move forward based on their understanding of place value.

Steps

Here is some basic scaffolding to help students complete the activity.

1. Discuss different types of board games and how they work (e.g., roll and move, trivia, strategy).

2. Brainstorm ways place value can be incorporated into a game (e.g., answering place value questions to move spaces, earning points based on correctly identifying place values in a number).

3. Write down at least three different game mechanics that use place value, explaining the rules and how it reinforces place value understanding.

Final Product

What students will submit as the final product of the activityA list of at least three game mechanics that incorporate place value, with a brief explanation of how each mechanic works.

Alignment

How this activity aligns with the learning objectives & standardsIdentify the place value of digits up to 10 million (ones, tens, hundreds, thousands, ten thousand, hundred thousand, and millions). Design a board game that reinforces place value concepts.

Activity 3

Board Design Blueprint

Students create the game board, including spaces, pathways, and any special features that incorporate place value challenges or rewards.

Steps

Here is some basic scaffolding to help students complete the activity.

1. Sketch a basic game board layout, including a starting point, ending point, and a pathway for players to follow.

2. Designate certain spaces as place value challenge spaces, where players must answer a question or complete a task related to place value.

3. Add special features like shortcuts, roadblocks, or bonus spaces that utilize place value concepts.

4. Finalize the game board design, adding color, illustrations, and clear labels for each space.

Final Product

What students will submit as the final product of the activityA complete game board design, either drawn on paper or created digitally, with labeled spaces and clear pathways.

Alignment

How this activity aligns with the learning objectives & standardsIdentify the place value of digits up to 10 million. Compare and order numbers based on place value. Design a board game that reinforces place value concepts.

Activity 4

Rulebook Refinement

Students write a comprehensive rulebook for their board game, including the objective of the game, how to play, and how to win. They refine the game rules to ensure clarity, fairness, and engagement.

Steps

Here is some basic scaffolding to help students complete the activity.

1. Write a brief introduction explaining the objective of the game.

2. Describe the game components (e.g., game board, cards, dice, player pieces).

3. Explain how to set up the game before starting.

4. Provide step-by-step instructions on how to play the game, including how to move, draw cards, answer questions, and use special features.

5. Clearly state the rules for winning the game.

6. Review and revise the rulebook to ensure clarity and completeness.

Final Product

What students will submit as the final product of the activityA complete rulebook for the board game, including clear and concise instructions on how to play and win.

Alignment

Activity 5

Number Comparison Card Creation

Students design game cards that require players to compare and order numbers based on place value. These cards will challenge players to apply their knowledge of place value in a competitive setting.

Steps

Here is some basic scaffolding to help students complete the activity.

1. Create questions that ask players to compare two numbers and identify which is larger or smaller based on place value (e.g., Which is greater: 456,789 or 465,789?).

2. Develop challenges where players must order a set of numbers from least to greatest or greatest to least.

3. Write each question or challenge on a separate card, ensuring the answers are clearly indicated on the back.

Final Product

What students will submit as the final product of the activityA set of 10 game cards with questions or challenges that require players to compare and order numbers based on place value.

Alignment

How this activity aligns with the learning objectives & standardsCompare and order numbers based on place value. Design a board game that reinforces place value concepts.

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Rubric & Reflection

Portfolio Rubric

Grading criteria for assessing the overall project portfolio

Place Value Board Game Design Rubric

Category 1

Place Value Chart Construction

Assesses the student's ability to accurately represent and organize place values in a chart.

Criterion 1

Place Value Accuracy

Accuracy of place value identification and representation

Exemplary

4 Points

Chart is complete, accurate, and clearly represents place values from ones to ten millions with appropriate numerical values and examples.

Proficient

3 Points

Chart is mostly accurate and represents place values from ones to ten millions with correct numerical values and relevant examples.

Developing

2 Points

Chart has some inaccuracies or omissions in representing place values or providing examples.

Beginning

1 Points

Chart is incomplete or contains significant inaccuracies, demonstrating a limited understanding of place value.

Criterion 2

Clarity and Organization

Clarity and organization of the chart for easy understanding

Exemplary

4 Points

Chart is exceptionally clear, well-organized, and easy to understand, with effective use of labels and spacing.

Proficient

3 Points

Chart is clear, well-organized, and easy to understand, with appropriate use of labels and spacing.

Developing

2 Points

Chart is somewhat organized but may lack clarity in labeling or spacing, making it slightly difficult to understand.

Beginning

1 Points

Chart is disorganized, unclear, and difficult to understand, with poor labeling and spacing.

Category 2

Game Mechanic Brainstorming

Evaluates the student's ability to generate creative and practical game mechanics that reinforce place value.

Criterion 1

Relevance and Feasibility

Relevance and feasibility of game mechanics to place value concepts

Exemplary

4 Points

All game mechanics are highly relevant, feasible, and creatively integrate place value concepts in an engaging way.

Proficient

3 Points

Most game mechanics are relevant, feasible, and integrate place value concepts effectively.

Developing

2 Points

Some game mechanics are relevant but may lack feasibility or clear integration of place value concepts.

Beginning

1 Points

Game mechanics are largely irrelevant, infeasible, or demonstrate a limited understanding of place value concepts.

Criterion 2

Variety and Originality

Variety and originality of game mechanics

Exemplary

4 Points

Demonstrates a wide variety of highly original and innovative game mechanics.

Proficient

3 Points

Demonstrates a good variety of game mechanics with some originality.

Developing

2 Points

Demonstrates a limited variety of game mechanics with little originality.

Beginning

1 Points

Demonstrates a lack of variety and originality in game mechanics.

Criterion 3

Clarity of Explanations

Clarity of explanations for each game mechanic

Exemplary

4 Points

Explanations are exceptionally clear, concise, and easy to understand, with detailed rules and examples.

Proficient

3 Points

Explanations are clear, concise, and easy to understand, with sufficient rules and examples.

Developing

2 Points

Explanations are somewhat unclear or incomplete, with limited rules or examples.

Beginning

1 Points

Explanations are unclear, confusing, or missing essential details.

Category 3

Board Design Assessment

Assesses the student's ability to design a functional and engaging game board that incorporates place value concepts.

Criterion 1

Place Value Integration

Integration of place value concepts into the game board design

Exemplary

4 Points

The game board design seamlessly integrates place value challenges and rewards in a creative and engaging manner.

Proficient

3 Points

The game board design effectively integrates place value challenges and rewards.

Developing

2 Points

The game board design includes some place value challenges or rewards, but integration may be limited.

Beginning

1 Points

The game board design lacks clear integration of place value concepts.

Criterion 2

Layout Clarity and Functionality

Clarity and functionality of the game board layout

Exemplary

4 Points

The game board layout is exceptionally clear, functional, and visually appealing, with well-defined pathways and spaces.

Proficient

3 Points

The game board layout is clear, functional, and visually appealing, with well-defined pathways and spaces.

Developing

2 Points

The game board layout is somewhat functional but may lack clarity or visual appeal.

Beginning

1 Points

The game board layout is unclear, non-functional, and lacks visual appeal.

Criterion 3

Special Features Creativity

Creativity and originality of special features

Exemplary

4 Points

Special features are highly creative, original, and enhance the game's engagement and learning potential.

Proficient

3 Points

Special features are creative and enhance the game's engagement and learning potential.

Developing

2 Points

Special features are present but may lack creativity or impact on engagement.

Beginning

1 Points

Special features are missing or ineffective.

Category 4

Rulebook Assessment

Evaluates the student's ability to create a comprehensive and understandable rulebook for their board game.

Criterion 1

Rulebook Completeness

Completeness and accuracy of rulebook sections

Exemplary

4 Points

All sections of the rulebook are complete, accurate, and well-organized, covering all aspects of the game.

Proficient

3 Points

Most sections of the rulebook are complete, accurate, and well-organized, covering most aspects of the game.

Developing

2 Points

Some sections of the rulebook are incomplete or inaccurate, missing key aspects of the game.

Beginning

1 Points

The rulebook is largely incomplete, inaccurate, and fails to adequately explain the game.

Criterion 2

Instructional Clarity

Clarity and conciseness of instructions

Exemplary

4 Points

Instructions are exceptionally clear, concise, and easy to follow, leaving no room for ambiguity.

Proficient

3 Points

Instructions are clear, concise, and easy to follow, with minimal ambiguity.

Developing

2 Points

Instructions are somewhat unclear or verbose, leading to some ambiguity.

Beginning

1 Points

Instructions are unclear, confusing, and difficult to follow.

Criterion 3

Rulebook Organization

Logical flow and organization of the rulebook

Exemplary

4 Points

The rulebook is logically organized and flows seamlessly, making it easy for players to learn and understand the game.

Proficient

3 Points

The rulebook is well-organized and flows logically, facilitating player understanding.

Developing

2 Points

The rulebook is somewhat disorganized, hindering player understanding.

Beginning

1 Points

The rulebook is disorganized and lacks logical flow, making it difficult for players to understand the game.

Category 5

Number Comparison Card Assessment

Assesses the student's ability to create accurate and challenging number comparison cards for the game.

Criterion 1

Number Comparison Accuracy

Accuracy of number comparisons and ordering on the cards

Exemplary

4 Points

All number comparisons and ordering on the cards are completely accurate and demonstrate a deep understanding of place value.

Proficient

3 Points

Most number comparisons and ordering on the cards are accurate and demonstrate a good understanding of place value.

Developing

2 Points

Some number comparisons or ordering on the cards contain errors or demonstrate a limited understanding of place value.

Beginning

1 Points

Number comparisons and ordering on the cards contain significant errors and demonstrate a poor understanding of place value.

Criterion 2

Challenge Variety

Variety and complexity of number comparison challenges

Exemplary

4 Points

The cards present a wide variety of complex and challenging number comparison scenarios.

Proficient

3 Points

The cards present a good variety of moderately challenging number comparison scenarios.

Developing

2 Points

The cards present a limited variety of simple number comparison scenarios.

Beginning

1 Points

The cards lack variety and present overly simplistic or repetitive number comparison scenarios.

Criterion 3

Instructional Clarity

Clarity and conciseness of card instructions

Exemplary

4 Points

Instructions on the cards are exceptionally clear, concise, and easy to understand.

Proficient

3 Points

Instructions on the cards are clear, concise, and easy to understand.

Developing

2 Points

Instructions on the cards are somewhat unclear or verbose.

Beginning

1 Points

Instructions on the cards are unclear, confusing, or missing.

Reflection Prompts

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

Question 1

How did designing a board game help you better understand place value?

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Required

Question 2

What was the most challenging aspect of designing your place value board game?

Text

Required

Question 3

If you could improve one aspect of your game to better teach place value, what would it be?

Text

Required

Question 4

To what extent do you agree that games can be effective tools for learning math concepts?

Scale

Required

Question 5

Which game mechanic did you like using the most, and why?

Multiple choice

Required

Options

Number comparison challenges

Ordering numbers challenges

Place value identification questions