Fraction Fairy Tale Remix: A Mathematical Adventure
Inquiry Framework
Question Framework
Driving Question
The overarching question that guides the entire project.How can we reimagine classic fairy tales by using fractional math to solve problems and change the story's outcome?Essential Questions
Supporting questions that break down major concepts.- How can fractions be used to represent characters or elements within a story?
- How can multiplication and division of fractions be applied to solve problems that arise in the fairy tale?
- How does changing the fractions in a story alter the outcome or moral of the fairy tale?
- In what real-world scenarios might you use fraction multiplication and division to solve a problem?
- How can you rewrite a fairy tale to incorporate fractional math problems that are relevant and engaging?
Standards & Learning Goals
Learning Goals
By the end of this project, students will be able to:- Students will be able to rewrite fairy tales incorporating fractional math problems.
- Students will be able to solve real-world problems using multiplication and division of fractions.
- Students will be able to represent characters and elements within a story using fractions.
- Students will be able to understand how changing fractions in a story alters the outcome.
Common Core Standards
Entry Events
Events that will be used to introduce the project to studentsThe Princess's Fractioned Inheritance
A princess must divide her kingdom's resources amongst her siblings using fractions, but the fractions are causing disputes and unrest. Students step in as royal advisors to fairly distribute land, gold, and magical artifacts, ensuring peace and prosperity.Portfolio Activities
Portfolio Activities
These activities progressively build towards your learning goals, with each submission contributing to the student's final portfolio.Real-World Fraction Application
Students will create a real-world scenario where the multiplication and division of fractions are used to solve a practical problem. This will reinforce the idea that fractional math is relevant beyond the realm of fairy tales.Steps
Here is some basic scaffolding to help students complete the activity.Final Product
What students will submit as the final product of the activityA real-world problem scenario, a fractional math problem, its solution, and an explanation of its relevance to the chosen scenario.Alignment
How this activity aligns with the learning objectives & standardsAddresses the learning goal of solving real-world problems using multiplication and division of fractions. Aligns with standard 6.NF.A.1 by solving word problems involving fractions with unlike denominators.Fractional Character Creation
Students will start by brainstorming traditional fairy tale characters and assigning fractional values to represent aspects of their personality, abilities, or possessions. This sets the stage for incorporating these fractions into the fairy tale's plot.Steps
Here is some basic scaffolding to help students complete the activity.Final Product
What students will submit as the final product of the activityA character portfolio with fractional representations and descriptions for at least five fairy tale characters.Alignment
How this activity aligns with the learning objectives & standardsAddresses the learning goal of representing characters and elements within a story using fractions.Rubric & Reflection
Portfolio Rubric
Grading criteria for assessing the overall project portfolioFractional Fairy Tale Portfolio Rubric
Real-World Fraction Application
Evaluates the student's ability to create and solve a real-world problem involving the multiplication or division of fractions and explain its relevance.Problem Scenario
Clarity and realism of the created real-world scenario.
Exemplary
4 PointsThe scenario is highly realistic, clearly presented, and creatively integrates the need for fractional math.
Proficient
3 PointsThe scenario is realistic and clearly presented, demonstrating a good understanding of a real-world context where fractions are used.
Developing
2 PointsThe scenario is somewhat realistic but lacks clarity or detail in explaining the real-world context.
Beginning
1 PointsThe scenario is unrealistic, unclear, or does not effectively demonstrate a real-world context.
Math Problem & Solution
Accuracy and completeness of the fractional math problem and its solution.
Exemplary
4 PointsThe fractional math problem is accurately formulated, challenging, and solved correctly with all steps shown clearly and logically.
Proficient
3 PointsThe fractional math problem is accurately formulated and solved correctly with most steps shown clearly.
Developing
2 PointsThe fractional math problem contains minor errors in formulation or solution, and some steps may be missing.
Beginning
1 PointsThe fractional math problem is significantly flawed, unsolved, or contains major errors.
Relevance Explanation
Quality of the explanation connecting the math problem to the real-world scenario.
Exemplary
4 PointsThe explanation thoroughly and insightfully connects the mathematical solution to the real-world scenario, demonstrating a deep understanding of its practical application.
Proficient
3 PointsThe explanation clearly connects the mathematical solution to the real-world scenario, demonstrating a good understanding of its practical application.
Developing
2 PointsThe explanation makes a connection between the mathematical solution and the real-world scenario, but the connection is superficial or unclear.
Beginning
1 PointsThe explanation fails to connect the mathematical solution to the real-world scenario, or the connection is missing altogether.
Fractional Character Creation
Assesses the student's ability to represent fairy tale characters with fractional values that reflect their attributes and explain the significance of these fractions.Character Selection & Attributes
Appropriateness and variety of chosen fairy tale characters and their attributes.
Exemplary
4 PointsChooses a diverse range of relevant fairy tale characters and identifies key attributes that are highly suitable for fractional representation, demonstrating insightful understanding.
Proficient
3 PointsChooses relevant fairy tale characters and identifies key attributes that are suitable for fractional representation, demonstrating good understanding.
Developing
2 PointsChooses fairy tale characters, but the identified attributes are not always suitable for fractional representation or lack clear connection.
Beginning
1 PointsChooses inappropriate or irrelevant fairy tale characters, and the identified attributes are vague or missing.
Fractional Representation
Accuracy and meaningfulness of the assigned fractional values.
Exemplary
4 PointsAssigns precise and meaningful fractional values that accurately represent the character's attributes, adding depth and nuance to their portrayal.
Proficient
3 PointsAssigns appropriate fractional values that represent the character's attributes, demonstrating a good understanding of fractional concepts.
Developing
2 PointsAssigns fractional values that are somewhat arbitrary or do not clearly reflect the character's attributes.
Beginning
1 PointsAssigns fractional values that are inaccurate, meaningless, or do not relate to the character's attributes.
Description & Significance
Quality of the character descriptions and explanation of the fractional significance.
Exemplary
4 PointsProvides detailed and insightful character descriptions, clearly articulating the significance of the assigned fractional values and their impact on the character's role in the story.
Proficient
3 PointsProvides clear character descriptions, explaining the significance of the assigned fractional values and their impact on the character.
Developing
2 PointsProvides basic character descriptions but struggles to explain the significance of the assigned fractional values.
Beginning
1 PointsProvides incomplete or vague character descriptions with little to no explanation of the assigned fractional values.