Created byMUTHAMMA KOTERA SOMANNA

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Discount Designer: Math Store Project

Grade 6Math2 days

In this project, 6th-grade students become 'Discount Designers' by applying their math skills to create a store that strategically uses discounts to attract customers and maximize savings. Students convert between fractions, decimals, and percentages to calculate discounts and sale prices. They then design a store layout and develop discount strategies, explaining the math behind each approach and its benefits. This project allows students to apply mathematical concepts to real-world scenarios, enhancing their understanding of discounts from both consumer and business perspectives.

DiscountsFractionsDecimalsPercentagesStore DesignFinancial LiteracyReal-World Application

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Inquiry Framework

Question Framework

Driving Question

The overarching question that guides the entire project.How can we strategically use the mathematics of discounts to design a successful store that attracts customers and maximizes their savings?

Essential Questions

Supporting questions that break down major concepts.

How can we represent discounts using fractions, decimals, and percentages?
How do you calculate the sale price after a discount is applied?
How can discounts be used to attract customers to a store?
How do you determine the actual savings from a discount?
How do different types of discounts impact the final price differently?

Standards & Learning Goals

Learning Goals

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

Students will be able to convert between fractions, decimals, and percentages.
Students will be able to calculate discounts and sale prices.
Students will be able to apply discounts to real-world scenarios.
Students will be able to design a store layout.
Students will be able to use discounts to attract customers.

Entry Events

Events that will be used to introduce the project to students

IRL Discount Simulation

Transform the classroom into a mock store with everyday items marked with prices. Students receive a limited 'budget' and must maximize their purchases using various discounts (fractions, decimals, percentages), experiencing the direct impact of mathematical skills on their spending power.

The Mystery Shopper Challenge

A local business owner presents a challenge: their store's discount system is losing money. Students become 'mystery shoppers,' analyzing receipts and identifying errors to propose a better discount strategy, sparking interest in real-world applications of percentages.

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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

Fraction Frenzy: Discount Edition

Students begin by converting common fractions into percentages and decimals, which are frequently used in discount scenarios. This activity reinforces the foundational skill of understanding the relationships between these numerical forms, which is crucial for calculating discounts.

Steps

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

1. List common fractions (1/2, 1/4, 1/3, 2/3, 3/4) and their corresponding percentages.

2. Convert each fraction to a decimal.

3. Explain how each representation (fraction, decimal, percentage) is used in real-world discount scenarios.

Final Product

What students will submit as the final product of the activityA conversion table displaying fractions, decimals, and percentages with explanations of their use in discount scenarios.

Alignment

How this activity aligns with the learning objectives & standardsLearning Goal: Students will be able to convert between fractions, decimals, and percentages. Standard: Find percentage from fraction and decimal.

Activity 2

The Discount Decoder

In this activity, students will calculate the actual discount amount and the final sale price after a discount is applied. They will use various methods to ensure accuracy and understanding of the math involved.

Steps

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

1. Choose an item with an original price.

2. Apply a discount percentage to the original price (e.g., 20% off).

3. Calculate the discount amount and the final sale price.

4. Repeat with different items and discount percentages.

Final Product

What students will submit as the final product of the activityA worksheet showing the original price, discount percentage, discount amount, and final sale price for various items.

Alignment

How this activity aligns with the learning objectives & standardsLearning Goal: Students will be able to calculate discounts and sale prices. Standard: Apply to real life situation.

Activity 3

Design Your Dream Store

Students design their own store, including the layout and the types of discounts they will offer. This activity encourages them to apply their knowledge of discounts to attract customers.

Steps

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

1. Decide on the type of store (clothing, electronics, books, etc.).

2. Create a store layout, including sections for different types of products.

3. Plan various discount strategies to attract customers (e.g., percentage off, buy-one-get-one).

4. Explain the math behind each discount strategy and how it benefits both the customer and the store.

Final Product

What students will submit as the final product of the activityA store layout design with a detailed description of the discount strategies and their mathematical basis.

Alignment

How this activity aligns with the learning objectives & standardsLearning Goal: Students will be able to design a store layout and use discounts to attract customers. Standard: Apply to real life situation.

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Rubric & Reflection

Portfolio Rubric

Grading criteria for assessing the overall project portfolio

Discount Designer Portfolio Rubric

Category 1

Fraction, Decimal, and Percentage Conversion

Demonstrates the ability to accurately convert between fractions, decimals, and percentages, and explain their relevance in discount scenarios.

Criterion 1

Accuracy of Conversions

Reflects precision in converting fractions to decimals and percentages and vice versa.

Exemplary

4 Points

All conversions are accurate and demonstrate a sophisticated understanding of the relationships between fractions, decimals, and percentages.

Proficient

3 Points

Most conversions are accurate, with only minor errors, demonstrating a good understanding of the relationships between fractions, decimals, and percentages.

Developing

2 Points

Some conversions are accurate, but there are noticeable errors, indicating a partial understanding of the relationships between fractions, decimals, and percentages.

Beginning

1 Points

Few conversions are accurate, with significant errors, indicating a limited understanding of the relationships between fractions, decimals, and percentages.

Criterion 2

Explanation of Relevance

Explains how fractions, decimals, and percentages are used in real-world discount scenarios.

Exemplary

4 Points

Provides a comprehensive and insightful explanation of how fractions, decimals, and percentages are used in a variety of discount scenarios, demonstrating a deep understanding of their practical applications.

Proficient

3 Points

Provides a clear explanation of how fractions, decimals, and percentages are used in common discount scenarios, demonstrating a good understanding of their practical applications.

Developing

2 Points

Provides a basic explanation of how fractions, decimals, and percentages are used in discount scenarios, but the explanation lacks detail or clarity.

Beginning

1 Points

Provides a limited or unclear explanation of how fractions, decimals, and percentages are used in discount scenarios, indicating a limited understanding of their practical applications.

Category 2

Discount Calculation

Demonstrates the ability to accurately calculate discounts and sale prices using various methods.

Criterion 1

Accuracy of Calculations

Reflects precision in calculating discount amounts and final sale prices.

Exemplary

4 Points

All discount calculations are accurate and demonstrate a sophisticated understanding of the mathematical processes involved.

Proficient

3 Points

Most discount calculations are accurate, with only minor errors, demonstrating a good understanding of the mathematical processes involved.

Developing

2 Points

Some discount calculations are accurate, but there are noticeable errors, indicating a partial understanding of the mathematical processes involved.

Beginning

1 Points

Few discount calculations are accurate, with significant errors, indicating a limited understanding of the mathematical processes involved.

Criterion 2

Use of Methods

Effectively uses different methods to calculate discounts and verify accuracy.

Exemplary

4 Points

Uses multiple methods to calculate discounts and verify accuracy, demonstrating a deep understanding of different calculation strategies.

Proficient

3 Points

Uses appropriate methods to calculate discounts and verifies accuracy, demonstrating a good understanding of calculation strategies.

Developing

2 Points

Uses a method to calculate discounts, but there is limited evidence of verifying accuracy.

Beginning

1 Points

Struggles to use a method to calculate discounts or verify accuracy.

Category 3

Store Design and Discount Strategy

Effectively designs a store layout and plans discount strategies to attract customers, explaining the mathematical basis of each strategy.

Criterion 1

Store Layout Design

Clarity and organization of the store layout, including sections for different products.

Exemplary

4 Points

The store layout is exceptionally clear, well-organized, and creatively designed to enhance the customer experience.

Proficient

3 Points

The store layout is clear, well-organized, and functional, with logical sections for different products.

Developing

2 Points

The store layout is somewhat organized, but there may be areas that lack clarity or logical flow.

Beginning

1 Points

The store layout is disorganized and lacks clarity, making it difficult to understand the arrangement of products.

Criterion 2

Discount Strategy and Explanation

Effectiveness and mathematical basis of the planned discount strategies.

Exemplary

4 Points

Presents innovative and well-justified discount strategies with a comprehensive explanation of their mathematical basis and benefits for both the customer and the store.

Proficient

3 Points

Presents effective discount strategies with a clear explanation of their mathematical basis and benefits for both the customer and the store.

Developing

2 Points

Presents some discount strategies, but the explanation of their mathematical basis and benefits is limited or unclear.

Beginning

1 Points

Presents few or ineffective discount strategies with little or no explanation of their mathematical basis or benefits.

Reflection Prompts

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

Question 1

How did your understanding of the relationship between fractions, decimals, and percentages evolve throughout this project?

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Question 2

In what ways did calculating discounts in 'The Discount Decoder' activity help you better understand real-world shopping scenarios?

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Question 3

What was the most challenging aspect of designing your own store, and how did you use mathematical concepts to overcome that challenge?

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Question 4

How effective do you think your discount strategies would be in attracting customers to your store? Explain your reasoning.

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Question 5

To what extent do you agree with the statement: 'Understanding the mathematics of discounts is essential for both consumers and business owners'?

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