M5-L3 Arctic sea ice and mathematic

ECOSMART CONCEPTUAL MAP

Arctic sea ice and mathematic

Purpose/ Learning objective

Intersecting objectives

ECO-SMART

Facilitation

Arctic sea ice and mathematic

Ideas for follow-up

Resources required

Source/The day of the lesson: Materials & Class prep.

Implementation

ECOSMART CONCEPTUAL MAP

Arctic sea ice and mathematic

Arctic sea ice and mathematic

Purpose/ Learning objective

Intersecting objectives

• 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

Facilitation

Ideas for follow-up

Resources required

Source/The day of the lesson: Materials & Class prep.

Implementation

ECOSMART CONCEPTUAL MAP

Arctic sea ice and mathematic

Arctic sea ice and mathematic

Purpose/ Learning objective

Intersecting objectives

• 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

Facilitation

Ideas for follow-up

Resources required

Source/The day of the lesson: Materials & Class prep.

Implementation

ECOSMART CONCEPTUAL MAP

Arctic sea ice and mathematic

Arctic sea ice and mathematic

Purpose/ Learning objective

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.

This can be accessed at:

Intersecting objectives

Facilitation

Ideas for follow-up

Resources required

Source/The day of the lesson: Materials & Class prep.

Implementation

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

ECOSMART CONCEPTUAL MAP

Arctic sea ice and mathematic

Arctic sea ice and mathematic

Purpose/ Learning objective

1. Discuss further

Use the visualization, ‘Charctic Interactive Sea Ice Graph’ from NSIDC to encourage discussion amongst your students about the changes in theextent of Arctic Sea Ice from the years 1979-2020. Discuss how thesechanges could be the result of changes in the Earth’s climate in recent times.These can be accessed at: 2. Topic introduction and discussionUse the teaching module, ‘Differentiation: definition and basic derivative rules’ by Khan Academy, to introduce the concept of derivatives anddifferentiation. 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: 3. Develop the topic further Use the teaching module, ‘Derivatives and the shape of a graph’ by OpenStaxTM, Rice University, to explain to your students how related rates can be compared using derivatives. Use the sub-sections within the tool to explain various mathematical concepts for determining maxima/minima values, roots, and inflection points in the derivative function graph. This can be accessed at:

Intersecting objectives

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

Facilitation

Ideas for follow-up

Resources required

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

Source/The day of the lesson: Materials & Class prep.

Implementation

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

ECOSMART CONCEPTUAL MAP

Arctic sea ice and mathematic

Arctic sea ice and mathematic

Purpose/ Learning objective

Intersecting objectives

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

Facilitation

https://smile.oregonstate.edu/lesson/tracking-ice-arctic-sea-ice-and-mathematics-curriculum

Ideas for follow-up

Resources required

Source/The day of the lesson: Materials & Class prep.

Implementation

ECOSMART CONCEPTUAL MAP

Arctic sea ice and mathematic

Arctic sea ice and mathematic

Purpose/ Learning objective

All the teaching tools in our collated list are owned by the corresponding creators/authors/organizations as listed on their websites. Please view the individual copyright and ownership details for each tool by following the individual links provided. We have selected and analyzed the tools that align with the overall objective of our project and have provided the corresponding links. We do not claim ownership of or responsibility/liability for any of the listed tools. 1. Teaching Module; ‘Differentiation: definition and basic derivative rules’ Developed by Khan Academy 2. Teaching Module; ‘Derivatives and the Shape of a Graph’ Provided by OpenStaxTM, Rice University. 3. Classroom Activity; ‘Arctic Sea Ice’ Provided by Sustainability Math by Thomas J. Pfaff, Professor of Mathematics, Ithaca College, USA. 4. Reading; ‘Polynomials and their Derivatives’ By Donald Byrd, Indiana University Informatics. 5. Visualization; ‘Charctic Interactive Sea Ice Graph’ From National Snow and Ice Data Center (NSIDC)

Intersecting objectives

Facilitation

Ideas for follow-up

Resources required

Source/The day of the lesson: Materials & Class prep.

Implementation

Instructions step by step

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. Thus, the use of this lesson plan allows you to integrate the teaching of a climate science topic with a core topic in Mathematics

Purpose/ Learning objective

Intersecting objectives

Step 1

20 min

Facilitation

01

Ideas for follow-up

30 min

Step 2

02

Resources required

Step 3

10 min

03

Source/The day of the lesson: Materials & Class prep.

ECOSMART CONCEPTUAL MAP

Step 4

30 min

Implementation

04