math connections with the real world

Math Connections with the Real World 6-week Course

By joining any of NatureGlo’s 1-year memberships, you’ll gain access to:

1). Video lessons taught by Gloria Brooks aka NatureGlo.

2). Course content Slideshow with accompanying study guide downloads per lesson.

3).  Web resources, project and activity ideas and external resource videos enhancing the class content.

4). Teacher feedback for any comments, questions or work you leave a link to in each lesson’s comments box.


Access to this course and more for as little as $22/month with a 1-year membership.

Course Information

Estimated Time: There are 7 lessons and it's suggested that students complete 1 lesson per week, but this can be flexible according to student needs and schedules.


Course Instructor

Gloria Brooks Gloria Brooks Author

Lesson #1 – Introduction & History of the Golden Ratio and the Fibonacci Numbers

Lesson #2 – The Golden Number & Fibonacci in Art, Architecture & Nature

Lesson #3 – The Fibonacci Numbers in Nature

Lesson #4 – The History & the Golden Ratio of the Great Pyramid

Lesson #5 – Phi & Quasicrystals

Lesson #6 – The Mathematics of Music

Student Certificate of Completion and Review for this Class

  • (Maslan) My favorite part of the story is when Thutmose had the vision where the Sphinx talked to him.
    (Atticus) I thought it was interesting that a prince of a large civilization would rather go hunting then participate in big festival.

    • Atticus, it was great practice and first attempt! Nice work on the five-pointed star! It’s understandable that the Golden ratio gauge would be off being made out of cardboard. If you’re really interested in studying this further, I’d suggest making the Golden ratio gauge with the following materials. The aim, of course, would be to create a more accurate one.

      1). Try using a strong, thick tagboard (like Shoo Rayner’s) from a craft store. It should be thick but not nearly as thick as the cardboard. Alternatively, if you have a cutting tool to saw into popsicle sticks (easily found and cheap), you could use those and they’d be stronger.
      2). Cutting knife (like Shoo’s)
      3). Cutting board.

      The more you practice with accurate tools, the better and more accurate your results will be. But certainly, as your learning to do these projects, first attempts are typically not perfect. Thank you for sharing your work and being willing to try the projects and not being afraid to make mistakes! Not being afraid to make mistakes while learning is a great quality you have! Some students are afraid to try for fear of failure. Failures are the stepping stones towards success. Awesome work! Keep going!

      Here are some videos to help you with creating angles and one on how to create a right angle:
      Using a protractor with Khan Academy:
      How to Create a 90-degree angle:

  • (Atticus) I thought the fact that all the numbers add and divide into each other was very cool.
    (Maslan) I thought the fact that the square of each Fibonacci number plus the square of the next number always equals a different Fibonacci number was interesting.

    • Atticus and Maslan, thanks for posting! Fibonacci numbers are truly amazing. There are so many different kinds of computations you can do to play with them. It makes learning math pretty fun, especially their connections with the beautiful natural world. These numbers were a HUGE inspiration for getting me outdoors looking for them! What excited me the most about them, is that numbers aren’t just found in a textbook or calculator but throughout the sciences and the natural world.

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