# M5-L3 Arctic sea ice and mathematic

Eco-Smart Schools

Created on February 24, 2022

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Arctic sea ice and mathematic

ECO-SMART

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Arctic sea ice and mathematic

ECOSMART CONCEPTUAL MAP

- learn about derivatives and their application in comparing rates
- understand the derivative function graph and related terms such as extrema, roots, and inflection points
- use function graphs to observe changes in rates of melting and the extent of Arctic Sea Ice in given datasets

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Arctic sea ice and mathematic

Arctic sea ice and mathematic

ECOSMART CONCEPTUAL MAP

ECOSMART CONCEPTUAL MAP

- Describe the impacts of these changing climatic conditions
- Prepare a poster, brochure, infographic, video, etc that is one adaptation strategy from an economic, social and environmental perspective

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Arctic sea ice and mathematic

Arctic sea ice and mathematic

ECOSMART CONCEPTUAL MAP

Expand understanding

- Use the reading "Polynomials and Their Derivatives: Polynomials, Critical Points, and Inflection Points" by Donald Byrd, Indiana University.
- Informatics to repeat mathematical concepts that will be applied in the following activity.
- Using the 'Arctic Sea Ice' classroom activity from Thomas J. Pfaff, Professor of Mathematics, Ithaca College, USA, Sustainability Math, have your students practice derivatives, polynomial differentiation, and derivatives using datasets from National. Snow and Ice Data Center (NSIDC). This class event includes three datasets on Arctic Sea Ice coverage in conjunction with NSIDC's observations from 1980 to 2017. This data is provided in an Excel spreadsheet. The classroom activity also includes a Word document with instructions on how to use different mathematical methods on the data provided. Invite your students to download the Excel file (with the dataset) and the Word document (containing instructions for using the dataset and a set of questions for analyzing the dataset).
- Continue the classroom activity and encourage your students to answer the questions by applying their understanding of the graph of functions, maximum/minima, root, and inflection points.

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Arctic sea ice and mathematic

Arctic sea ice and mathematic

http://sustainabilitymath.org/calculus-materials/#

- Discuss further

extent of Arctic Sea Ice from the years 1979-2020. Discuss how these

changes could be the result of changes in the Earth’s climate in recent times.

These can be accessed at:

Use the teaching module, ‘Differentiation: definition and basic derivative rules’ by Khan Academy, to introduce the concept of derivatives and

differentiation. Navigate to the sub-sections within the module to explain derivative rules, the power rule, and how to differentiate polynomials.

Use the in-built practice exercises and quizzes to evaluate your students’ understanding of the topics.

This can be accessed at:

ECOSMART CONCEPTUAL MAP

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Arctic sea ice and mathematic

Arctic sea ice and mathematic

https://nsidc.org/arcticseaicenews/charctic-interactive-sea-ice-graph/

https://openstax.org/books/calculus-volume-1/pages/4-5-derivatives-and-the-shape-of-a-graph

https://www.khanacademy.org/math/ap-calculus-bc/bc-differentiation-1-new

ECOSMART CONCEPTUAL MAP

https://www.khanacademy.org/math/ap-calculus-bc/bc-differentiation-1-new

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Arctic sea ice and mathematic

Arctic sea ice and mathematic

ECOSMART CONCEPTUAL MAP

1. Teaching Module; ‘Differentiation: definition and basic derivative rules’

2. Teaching Module; ‘Derivatives and the Shape of a Graph’

3. Classroom Activity; ‘Arctic Sea Ice’

4. Reading; ‘Polynomials and their Derivatives’

5. Visualization; ‘Charctic Interactive Sea Ice Graph’ From National Snow and Ice Data Center (NSIDC)

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Arctic sea ice and mathematic

Arctic sea ice and mathematic

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20 min

ECOSMART CONCEPTUAL MAP

**Step 1**

**Step 2**

30 min

**Step 3**

10 min

**Step 4**

30 min

Instructions step by step

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Arctic sea ice and mathematic

This lesson plan will allow you to teach introductory derivatives, polynomial differentiation, and the application of derivatives. The lesson plan includes a hands-on computer-based classroom activity to be conducted on datasets of Arctic Ice Data (1980-2017). This activity includes a set of inquiry-based questions that will enable your students to apply their understanding of sixth degree polynomial differentiation, maxima/minima values, finding roots and inflection points.

Use this lesson plan to help your students find answers to:

• What are derivatives and their functions?

• Using an example, describe polynomial differentiation.

• Is the extent of the Arctic Sea Ice decreasing since 1980?

• Has the speed of melting of Arctic Sea Ice changed from 1980- 2017?

• Discuss the Ice Albedo Feedback and Global Warming to explain the differences in rates of melting of and extent of Arctic Sea Ice over the past four decades.

**1 ^{st} Teaching Module (20 min)**

A teaching module to explain the basics of derivatives, derivative rules, and differentiation.

This can be accessed at:

https://www.khanacademy.org/math/ap-calculus-bc/bc-differentiation-1-new

**2 ^{nd} Teaching Module (20 min)**

A teaching module to explain the application of derivatives in comparing rates in differentiation and aspects of the function graph.

This can be accessed at:

https://openstax.org/books/calculus-volume-1/pages/4-5-derivatives-and-the-shape-of-a-graph

A pre-activity reading can be accessed at:

1 Contents //homes.sice.indiana.edu/donbyrd/Teach/Math/Polynomials+atives.pdf

**Classroom Activity (20 min)**

A classroom activity to apply understanding of differential rates using datasets of Arctic Sea Ice Data (1980-2017).

This can be accessed at: http://sustainabilitymath.org/calculus-materials/

**Visualization (5 min)**

An interactive visualization of changes in the extent of Arctic Sea Ice from 1979-2020.

This can be accessed at: https://nsidc.org/arcticseaicenews/charctic-interactive-sea-ice-graph/

Suggested questions/assignments for learning evaluation (5 min)

- What are derivatives and their functions?
- Using an example, describe polynomial differentiation
- Is the extent of the Arctic Sea Ice decreasing since 1980?
- Has the speed of melting of Arctic Sea Ice changed from 1980- 2017?
- Discuss the Ice Albedo Feedback and Global Warming to explain the differences in rates of melting of and extent of Arctic Sea Ice over the past four decades.

Here is a step-by-step guide to using this lesson plan in the classroom/laboratory. We have suggested these steps as a possible plan of action.

You may customize the lesson plan according to your preferences and requirements.