Assignments

The Sextant: Math Solved the Longitude Problem

Collections

Applet Collections

Title Description
NCTM Illuminations This collection of interactive applets is aimed for math teachers and students. It explores various K-12 math concepts.
Nrich Interactive Resources This collection of interactive applets is aimed for enriching the typical secondary education lessons. There are applets for primary and seconday students. It explores various K-12 math concepts.
The Math Learning Center This collection of interactive applets is aimed for student exploration. They have many applets that give students the tools necessary to explore specific math concepts. Examples of concepts talked about are: fractions, time, patterns, money, and many more. This collection is aimed for students in grades K-8.
National Library of Virtual Manipulatives This collection covers numbers and operations, geometry, measurements, algebra, and data analysis and probability. It goes from grades prek-12. The applets are accessed through a link and they are not open access. Teachers would have to purchase the software for the rights to use them in the classroom.
Math Ed Applets Math Ed applet collection has algebra, functions, arithmetic, geometry, virtual manipulatives, and other applets. These are mainly expanding on the concepts from classes and are not purely instructional, they are more exploratory. The applets seem to be created using GeoGebra. The applets are open access and can be used by anyone.

Applets

Title Description
3D Sextant This applet provides a 3D perspective of a sextant. The visual allows manipulations including adjusting the angle of the arm. In addition to basic viewing, if you select the labels on the different parts of the sextant, you can read a small description about what that part does. It was created by Claude AI with prompting from Laurel.
Sextant Simulator This applet focuses on estimating angles. This is related to navigation because a lot of navigation is being able to see and estimate angles. It is important to have a sense for angles to be able to reason about the angles you are measuring with a sextant. This applet was created by NRICH.
Sextant Simulator This applet gives students the ability to practice lining up the sun and the horizon using the arm. It shows the angle in degrees and arc-minutes. This applet was created by Claude AI with prompting from Laurel.
Soccer Angles This applet steps students through the different angles that a soccer player may need to use. It has manipulatives at different intervals in the explanation that steps students through the problem. This applet was created by Math Ed Applets.
Globe with Angles This interactive graphic allows students to explore the different angles that are used when calculating the longitude of a ship. This applet was created by Claude AI with prompting from Laurel.

Resources

Title TypeDescription
Coordinately website Coordinately has an article that talks about the sextant. It uses the concepts behind the sextant to explain how it works. This includes an explanation of the double reflection principle and its applications.
Science Museum website Science Museum covers the history of nautical navigation, specifically the longitude problem. It goes into the ways people were navigating and the perils they had to avoid. Following the evolution of measurement instruments, it goes into the way in which sextants and chronometers were invented and used.
NOAA website National Oceanic and Atmospheric Administration (NOAA) created a webpage that talks about the differences between longitude and latitude. It has very helpful diagrams that highlight the way they were created and how they are measured.
TedED video This TedED video talks about how math guides ships and what math is behind the navigations. It is focused mainly on informing what was used and why versus how it was used. It is more for overall historical context without diving into the way the math works.
Map Men video Map Men talk about the longitude problem and how the sextant helped with this. They go into previous ways of nautical navigation and their limitations. The video deeply discusses the aspects of navigation that makes not knowing your longitude especially dangerous.
Sextant Tutorial: The Principles of the Sextant video This video covers the indepth workings of a sextant, from design to purpose.
Casual Navigation website This article is stepping through the basics of what a sextant is and how it works. It goes over what they are used for with various visuals and other references.
Applet applet This website has an activity where you can practice sailing and taking the measurements of the stars and other celestial bodies to locate your longitude. It is created by the Smithsonian Museum.
Trigonometry in Navigation website This article goes over the basic trigonometry that is used in navigation. It goes in depth in spherical trigonometry and other aspects of sine and cosine functions in regard to the different celestial bodies being measured.