Skip to main content
lesson
543 Downloads
Write a review
beta
EdBrAIn It
EdBrAIn uses AI to customize lesson resources for your students’ needs.

Teach the Math of Space Travel with Hidden Figures: Orbits and Conic Sections

Share

Share On Facebook
Share On Twitter
Share On Pinterest
Share On LinkedIn
Email
Grade Level Grades 10-12, Higher Education, Adult Education
Resource Type Activity, Handout, Lesson Plan, Media
Standards Alignment
Common Core State Standards, Next Generation Science Standards

About This Lesson

Check out this fun science and math lesson that uses Disney's Hidden Figures to support learning!

This lesson gives students the opportunity to strengthen their skills in both calculating orbits and managing huge numbers.

Mathematics is at the heart of the film Hidden Figures. It is mathematics that supports the ambitions of the three principal characters, mathematics that fills their days in West Computing, and mathematics that brings John Glenn and later astronauts back from their missions. Calculating orbits was particularly important, and so was the ability to handle immensely large numbers in a manageable way.

This lesson begins with an investigation of calculations that involve exponents, and from there leads students to apply those rules to calculations involving large numbers. Students will see the need for scientific notation when dealing with astronomical distances and develop an intuitive understanding of the notation through several mental arithmetic exercises. Exponential arithmetic and scientific notation are together in the same lesson in order to highlight the connections between the two.

The first part of the lesson is a sequence of problems that lead the students through some (but not all) of the calculation rules for exponential expressions. Scientific notation is nominally a middle school standard in most schools. However, discomfort with exponents, and in particular with scientific notation, is widespread at all ages.

The second part of the lesson is designed as a “from firstprinciples” investigation of ellipses and how they relate to German mathematician and astronomer Johannes Kepler’s first and second laws. The goal in many cases is not to construct a mathematical proof of the claims made, but only to examine why they might be reasonable.  The problems in part two are designed for class discussion, with the students presenting their own work and critiquing that of others.

It’s amazing that some shapes you can draw on a piece of paper are able to describe the motion of planets through space with unerring accuracy. We hope this lesson can help you convey how amazing and exciting that is to your students!

This includes 2 handouts:

  1. Problems on Scientific Notation
  2. Problems on Conic Sections  

This lesson features a class discussion activity. We recommend the Journeys in Film Group Discussion Facilitation Guidelines to support these discussions.

Learn more about teaching with Hidden Figures across the curriculum with the Journeys in Film Hidden Figures Curriculum Guide.

Resources

Files

External resources
Videos
Hidden Figures | Teaser Trailer [HD] | 20th Century FOX
Remote video URL

Standards

Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.
Know and apply the properties of integer exponents to generate equivalent numerical expressions.
Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.
Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
Analyze and interpret data to determine scale properties of objects in the solar system.

Reviews

Write A Review

Be the first to submit a review!

Advertisement