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Exploring the Intersection of Mathematics and Real-World Applications

This internal assessment allows you to investigate a topic related to mathematics that interests you, focusing on how mathematical concepts apply to various real-world situations. You will explore the influence of technology on mathematical development, the ethical implications of mathematical applications, and the universal nature of mathematics across cultures. Your project will be graded on communication, presentation, personal engagement, reflection, and mathematical understanding, culminating in a final report and presentation. Choose a topic that reflects your curiosity and engage deeply with the world of mathematics.

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Exploring the Intersection of Mathematics and Real-World Applications

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  1. Internal Assessment (Portfolio) Changes 2014! New Name: “Exploration” You choose the topic Investigate something related to math interesting to you. Only 1 required for the diploma.

  2. Group 5 (Mathematics) AIMS (Focus) • Apply and transfer skills to alternative situations, to other areas of knowledge and to future developments • Appreciate how developments in technology and mathematics have influenced each other. • Appreciate the moral, social and ethical implications arising from the work of mathematicians and the applications of mathematics.

  3. Group 5 (Mathematics) AIMS • Appreciate the international dimension in mathematics through an awareness of the universality of mathematics and its multicultural and historical perspectives. • Appreciate the contribution of mathematics to other disciplines, and as a particular “area of knowledge” in the TOK course.

  4. Topic Stimuli (Starting Points) Some examples are: Sports Water Internet Music Chemistry Diet Codes e Dance Business Physics Cell Phones Aviation Economics Sustainability Food Games Info Technology

  5. Sample Mind Map for Stimuli Water

  6. Mathematics Overall Grade Distribution Standard Level • Paper 1 – No Calculator Short Response – 40% • Paper 2 – Calculator Short Response – 40% • Internal Assessment (New for 2014) – 20% Higher Level • Paper 1 – No Calculator Short Response – 30% • Paper 2 – Calculator Short Response – 30% • Paper 3 – Special Topics Calculator – 20% • Internal Assessment (New for 2014) – 20%

  7. Internal Assessment Criteria • Criterion A – Communication (4 Points) • Criterion B – Mathematical Presentation (3 Points) • Criterion C – Personal Engagement (4 Points) • Criterion D – Reflection (3 Points) • Criterion E – Mathematics (6 Points) • Total Points Possible – 20 Points

  8. General Guidelines • Work individually – Can use same stimuli but must have different area of focus. • Recommended length 6-12 pages • Work to be completed over a 2 year period. • Junior year – a topic and preliminary research should be completed. • Senior year – a rough draft turned in 1st quarter and a final draft/presentation completed by early 3rd quarter. • Presentation will be reviewed by a math teacher committee during a set timeframe within your testing year.

  9. Things to do this year!! • Choose a topic! • Create a mind map for your topic • Choose your top 2 choices based on your mind map. • Turn in your mind map and top 2 choices to your math teacher by February 28, 2013 • Pick your final topic and choose a title! • Turn in your final topic and your title to your math teacher on April 19, 2013. Type on a separate sheet of paper. Include your name, math teacher, final topic, the title of your project, and a brief summary of the focus of your project.

  10. Good Luck! Talk to your math teacher if you need assistance!

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