Deep Freeze Survival: A Negative Number Challenge
Created byEmily Guy
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Deep Freeze Survival: A Negative Number Challenge

Grade 6Math1 days
3.0 (1 rating)
In "Deep Freeze Survival: A Negative Number Challenge," 6th-grade students apply their understanding of negative numbers to create a survival plan for a sudden ice age. Students track temperatures in Arctic locations, manage resources with a survival budget, and solve math problems related to temperature and resource allocation. This project enhances their ability to perform calculations with negative numbers and apply these concepts to real-world survival scenarios, using skills in temperature tracking, resource management, and problem-solving.
Negative NumbersTemperature TrackingResource ManagementSurvival BudgetArctic TemperaturesMath Calculations
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Inquiry Framework

Question Framework

Driving Question

The overarching question that guides the entire project.How can we use our understanding of negative numbers to develop a survival plan that addresses the challenges of a sudden ice age?

Essential Questions

Supporting questions that break down major concepts.
  • How can negative numbers represent real-world situations like temperature?
  • How do you perform calculations with negative numbers?
  • How can we use math to plan and budget resources in a survival scenario?
  • How do we use negative numbers to track changes in temperature over time?

Standards & Learning Goals

Learning Goals

By the end of this project, students will be able to:
  • Understand the meaning and use of negative numbers in real-world contexts.
  • Perform calculations (addition, subtraction, multiplication, division) with negative numbers.
  • Apply negative number concepts to solve problems related to temperature and resource management in a survival scenario.
  • Use negative numbers to track changes in temperature over time.

Entry Events

Events that will be used to introduce the project to students

The Mysterious Frozen Artifact

A news report details the discovery of a strange artifact encased in ice, baffling scientists. Students must use negative number temperature data to hypothesize the artifact's origin and the conditions of its freezing, sparking an investigation into extreme cold and survival.
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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

Arctic Adventure: Temperature Tracker

Students will begin their survival journey by understanding how negative numbers represent temperature changes. They will track and record daily temperature fluctuations in different Arctic locations, providing a foundation for understanding extreme cold.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Research and select three Arctic locations to monitor.
2. Find the daily high and low temperatures for each location over a 7-day period. Record these temperatures, including the negative values, in a table.
3. Calculate the average daily temperature for each location by adding the high and low temperatures and dividing by two.
4. Create a line graph to visually represent the temperature changes in each location over the week. Use different colors for each location and clearly label the axes.

Final Product

What students will submit as the final product of the activityA detailed temperature tracking report, including a table of daily high and low temperatures, calculated average temperatures, and a line graph illustrating temperature changes in three Arctic locations.

Alignment

How this activity aligns with the learning objectives & standardsLearning Goal: Understand the meaning and use of negative numbers in real-world contexts. Use negative numbers to track changes in temperature over time.
Activity 2

Survival Budget: The Resource Allocator

In this activity, students apply their knowledge of negative numbers to manage resources in a survival scenario. They will create a budget, accounting for expenses (negative numbers) and available supplies (positive numbers), to ensure their survival for a set period.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Imagine you have a limited amount of supplies for the ice age survival. List all available resources (food, water, fuel, medicine) and assign a numerical value (positive) to each, representing the quantity.
2. Identify the daily requirements for each resource to survive (e.g., food, water, fuel). Assign a negative value to each requirement, representing the daily consumption.
3. Create a balanced budget. Calculate how long the resources will last by dividing the total amount of each resource by the daily consumption rate (positive number divided by negative number).
4. Adjust your budget to extend your survival time. Find ways to reduce consumption (negative numbers) or increase resources (positive numbers). Recalculate the survival time with the adjusted values.

Final Product

What students will submit as the final product of the activityA comprehensive survival budget that outlines available resources, daily requirements, consumption rates, and the projected survival time, along with strategies to extend survival.

Alignment

How this activity aligns with the learning objectives & standardsLearning Goal: Apply negative number concepts to solve problems related to temperature and resource management in a survival scenario. Perform calculations (addition, subtraction, multiplication, division) with negative numbers.
Activity 3

Ice Age Calculations: The Temperature Puzzle

This activity focuses on performing calculations with negative numbers in the context of the ice age. Students will solve various math problems involving temperature changes, resource allocation, and other survival-related scenarios.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Create a series of math problems related to the survival scenario. These problems should involve addition, subtraction, multiplication, and division of negative numbers. Examples: 'The temperature drops from -15°C to -28°C. What is the temperature difference?' or 'You have 50 units of food, and you consume 3 units each day. After how many days will you have 2 units left?'
2. Solve each math problem, showing all steps of the calculation. Pay careful attention to the rules for operating with negative numbers.
3. Check your answers. Make sure your calculations are correct and your solutions make sense in the context of the survival scenario.
4. Explain the meaning of each answer in the context of the survival scenario. What does the temperature difference mean for your survival? How does the resource consumption affect your plans?

Final Product

What students will submit as the final product of the activityA set of solved math problems with detailed calculations and explanations of the answers in the context of the ice age survival scenario.

Alignment

How this activity aligns with the learning objectives & standardsLearning Goal: Perform calculations (addition, subtraction, multiplication, division) with negative numbers. Apply negative number concepts to solve problems related to temperature and resource management in a survival scenario.
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Rubric & Reflection

Portfolio Rubric

Grading criteria for assessing the overall project portfolio

Deep Freeze Survival Challenge: Arctic Adventure Temperature Tracker Rubric

Category 1

Data Collection & Organization

Accuracy and clarity in collecting, recording, and organizing temperature data for the selected Arctic locations.
Criterion 1

Temperature Data Accuracy

Accuracy of recorded high and low temperatures for each Arctic location over the 7-day period.

Exemplary
4 Points

All temperature data is accurate and precisely recorded for all locations and days. Demonstrates meticulous attention to detail.

Proficient
3 Points

Most temperature data is accurate with only minor errors or omissions. Demonstrates good attention to detail.

Developing
2 Points

Some temperature data is inaccurate or missing, impacting the overall understanding of temperature changes. Requires closer attention to detail.

Beginning
1 Points

Significant temperature data is inaccurate or missing, making it difficult to understand temperature changes. Needs substantial improvement in data collection.

Criterion 2

Data Table Clarity

Clarity and organization of the temperature data table, including appropriate labels and units.

Exemplary
4 Points

The data table is exceptionally clear, well-organized, and easy to read, with precise labels and units for all entries. Enhances understanding of the data.

Proficient
3 Points

The data table is clear, well-organized, and easy to read, with appropriate labels and units. Facilitates understanding of the data.

Developing
2 Points

The data table is somewhat organized but may lack clarity in labels or units, making it slightly difficult to interpret the data. Requires improvements in presentation.

Beginning
1 Points

The data table is poorly organized, lacks clear labels and units, and is difficult to read, hindering the understanding of the data. Needs significant improvement in organization and presentation.

Category 2

Data Analysis & Representation

Effectiveness in calculating average daily temperatures and creating a line graph to visualize temperature changes.
Criterion 1

Average Temperature Calculation

Accuracy in calculating the average daily temperature for each location.

Exemplary
4 Points

All average daily temperatures are calculated accurately and demonstrate a sophisticated understanding of operations with negative numbers.

Proficient
3 Points

Most average daily temperatures are calculated accurately with only minor errors. Demonstrates a good understanding of operations with negative numbers.

Developing
2 Points

Some average daily temperatures are calculated inaccurately, indicating a partial understanding of operations with negative numbers. Requires review of calculation methods.

Beginning
1 Points

Many average daily temperatures are calculated inaccurately, revealing a limited understanding of operations with negative numbers. Needs significant support in understanding calculations.

Criterion 2

Line Graph Visualization

Clarity and effectiveness of the line graph in representing temperature changes over time.

Exemplary
4 Points

The line graph is exceptionally clear, visually appealing, and effectively represents temperature changes with accurate labels, scales, and distinct color-coding for each location. Demonstrates advanced data visualization skills.

Proficient
3 Points

The line graph is clear, well-labeled, and effectively represents temperature changes with appropriate scales and color-coding. Demonstrates effective data visualization skills.

Developing
2 Points

The line graph is somewhat clear but may lack accurate labels, scales, or color-coding, making it slightly difficult to interpret temperature changes. Requires improvements in graph design.

Beginning
1 Points

The line graph is poorly constructed, lacks clear labels, scales, and color-coding, and is difficult to interpret, hindering the understanding of temperature changes. Needs significant improvement in graph construction and presentation.

Category 3

Interpretation & Application

Ability to interpret the temperature data and apply it to understand the challenges of surviving in extreme cold.
Criterion 1

Temperature Trend Analysis

Analysis of temperature trends and patterns observed in the data.

Exemplary
4 Points

Provides a sophisticated analysis of temperature trends, identifying patterns and drawing insightful conclusions about the challenges of survival in extreme cold. Demonstrates advanced analytical skills.

Proficient
3 Points

Provides a thorough analysis of temperature trends, identifying patterns and drawing logical conclusions about the challenges of survival in extreme cold. Demonstrates effective analytical skills.

Developing
2 Points

Provides a basic analysis of temperature trends but may miss key patterns or draw superficial conclusions about the challenges of survival in extreme cold. Requires further development of analytical skills.

Beginning
1 Points

Provides a limited analysis of temperature trends, failing to identify key patterns or draw meaningful conclusions about the challenges of survival in extreme cold. Needs significant support in developing analytical skills.

Criterion 2

Real-World Application

Application of temperature data to real-world survival scenarios and decision-making.

Exemplary
4 Points

Applies temperature data innovatively to propose effective survival strategies, demonstrating a deep understanding of the impact of extreme cold on survival. Shows exceptional critical thinking.

Proficient
3 Points

Applies temperature data appropriately to suggest practical survival strategies, demonstrating a solid understanding of the impact of extreme cold on survival. Shows effective critical thinking.

Developing
2 Points

Attempts to apply temperature data to survival scenarios but may offer limited or less practical strategies, indicating a partial understanding of the impact of extreme cold on survival. Requires further exploration of real-world applications.

Beginning
1 Points

Struggles to apply temperature data to survival scenarios, demonstrating a limited understanding of the impact of extreme cold on survival. Needs significant support in connecting data to real-world applications.

Reflection Prompts

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

How did your understanding of negative numbers evolve as you worked through the Deep Freeze Survival Challenge?

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Question 2

Which activity (Arctic Adventure, Survival Budget, Ice Age Calculations) was most helpful in understanding negative numbers?

Multiple choice
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Options
Arctic Adventure: Temperature Tracker
Survival Budget: The Resource Allocator
Ice Age Calculations: The Temperature Puzzle
Question 3

How confident are you in using negative numbers to solve real-world problems?

Scale
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Question 4

What was the most challenging aspect of using negative numbers in the survival plan?

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Question 5

If you were to face a real survival scenario requiring negative number calculations, what would you do differently based on what you learned?

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