Suggested ages – 12 and up
Course Access – up to 1 year after enrollment.
Live Class start/end dates – Tuesdays, January 16 – February 20, 2018, 11 to 12 pm Central
Live Course Duration – Six weeks with six 1-hour live classes
Pre-recorded video lessons for those who can’t join us live or prefer recordings.
View the live class schedule by clicking on the Live Class Schedule (calendar) tab here or at the top of this web page.
In Math Connections with the Real World, we study the history of the golden ratio (1.618…), a famous proportion of beauty found in art, architecture, and nature, and the Fibonacci number series (1,1,2,3,5,8,13…). We will explore where these numbers can be found, since ancient times, in nature, art, architecture and more!
Students are invited to complete either six small projects (1 per lesson) using the provided lesson Projects & Activities web resources or come up with their own projects. Small lesson projects can include completing each lesson’s journal template and the two lapbooks offered in this course. Students can also complete one large project for the entire course.
During this 6-week course, it’s suggested that learners complete one lesson per week either independently, with parental guidance or by taking my live class when available. Some students may take longer than 6 weeks to complete the content which is fine. If your learner is taking the class only by recording, each lesson has pre-recorded lesson videos.
If your learner is joining me for one of my seasonal live classes, they can attend all of my live classes and still have access to the pre-recorded lessons for review and or for use if they miss any of the live classes.
Topics covered in Math Connections with the Real World:
Lesson #1 – Introduction & History of the Golden Ratio and Fibonacci Numbers
Lesson #2 – The Golden Ratio & Fibonacci in Art, Architecture & Nature
Lesson #3 – Fibonacci Numbers – Flower Petals, Seed heads and More!
Lesson #4 – History & Golden Ratio of the Great Pyramid of Egypt
Lesson #5 – Quasicrystals & the Golden Ratio
Lesson #6 – The Mathematics of Music
Each lesson includes:
- 6 one-hour live online classes
- Pre-recorded video lessons for those who can’t join us live or to use for review.
- 1 Slideshow lesson I teach from
- 1 study guide complimenting the Slideshow content
- 1 or more links to the MathArt Virtual Library about that lesson’s topic. The links include web resources, project and activity ideas, downloads and YouTube videos enhancing the topic taught.
- Two of the lessons also include lapbook templates which can be cut out and either used in a lapbook fashion as cutouts and glued into manilla folders or with the cutouts affixed inside of the student’s MathArt journal.
- 1 digital achievement badge
Each study guide includes:
- Slideshow interaction questions
- Journal template (some lessons may have more than one template)
- A parental scoring rubric for student projects or activities
- 1 quiz (the same quiz can be taken on an automated service called Quizlet)
- 1 answer key for the Slideshow interaction questions and the quiz.
- Blank journal labeled MathArt: Math Connections with the Real World
- A mechanical pencil with lead and a good eraser or a pencil with a good eraser.
- Optional: colored pencils for making each week’s sketches in the provided journal templates.
- Optional: Camera with video capabilities for photographing and videoing student work to share as links from a family or personal blog. Links can then be shared in the comments section of this course for the instructor and student body to view.
- A faithful wireless Internet connection.
What students can do per lesson:
- Fill out the study guide as I go through the live presentation or take notes in a blank notebook for this class.
- Complete a journal template about their favorite topic per lesson.
- Do a student chosen project or activity per lesson or one larger project to share with the class at the end of the 3-week session.
- Earn one cool digital achievement badge after completing each lesson.
Class begins with a Slideshow presentation. Students can fill out the study guide questions as I go through the presentation. All of the answers are found in the Slideshow. After the Slideshow, there is student/teacher discussion and Q & A about the topic. We browse together through the website of resources. During the live classes, I show videos enhancing the lesson. Students taking the lessons by recording, after they view the recording, will be directed to a web resource link to view additional lesson enhancing YouTube videos. Students can choose a project or experiment to complete outside of the live or recorded class experience. They can optionally post a link to their work in the comments section for kind student and teacher feedback.
Live or Recorded Class – One-time Payment
This is a one-time payment to purchase this course.
Introduction & History of the Golden Ratio and the Fibonacci Numbers
Main Lesson Downloads & Videos with NatureGlo
This is an introductory lesson to the Golden number and the Fibonacci number serious found prevalently in nature, art and architecture.
The Golden Number & Fibonacci in Art, Architecture & Nature
Main Lesson Downloads & Videos with NatureGlo
Our introduction to the Golden number and the Fibonacci number series continues with a focus on a historical timeline.
The Fibonacci Numbers in Nature
Downloads & Main Lesson Videos with NatureGlo
In this lesson, we look at the amazing connections the Fibonacci numbers have with the natural world.
The History & the Golden Ratio of the Great Pyramid
Lesson #4 – The History & the Golden Ratio of the Great Pyramid
In this lesson, we will have a brief history of the Great Pyramids of Egypt with a focus on the Great Pyramid of Giza and it’s relationship with the Golden ratio.
Phi & Quasicrystals
Lesson #5 – Phi & Quasicrystals
We learn about the discovery of quasicrystals and their discoverer, Dan Schectman and their relationship to phi. Quasicrystals are materials with unusual atomic structures including 5, 8, 10 and 12-fold symmetries believed impossible in science before they were discovered through electron microscope diffraction by Dan Schectman in 1982.