Exponential Growth to the Moon
Start thinking about exponential functions with this estimation and stacking challenge.
Where will a cannonball land after firing? How does a harmonograph create art? How can logarithm scales help us represent the universe? Through motivating questions and interactive graphing, you’ll learn pre-calculus without relying on memorization.
By the end of this course, you’ll have mastered the foundational skills for working with exponential equations, logarithms, conic sections, and parametric equations.
Get a start with exponential growth and logarithms.
It gets large (or small) faster than you might think!
Keep on doubling!
What happens when you change the base of an exponential?
Get some practice algebraically and graphically transforming exponents.
Learn some of the money-related applications of exponents.
Invert exponentials to get these.
Get started with the basic ideas behind logarithms.
Practice the application of log scales.
What does a log look like when you graph it?
Add, subtract and multiply with logarithms.
Strengthen your logarithm arithmetic skills with some problem solving.
Learn and apply a special formula that changes the base of the logarithm.
Solve for x when a logarithm is involved.
Look at some special applications of the logarithm.
Slice a cone and open a whole new class of curves.
Strengthen your intuition for conic sections and the parabola as a special case of conic slices.
Practice moving circles around the coordinate plane.
Stretch circles into ellipses and understand the relationship between an ellipse's foci and its function.
Learn another way to define a parabolic curve using a focus point and directrix line.
What happens when mirrors are shaped like parabolas?
Cut a cone vertically to get this strange set of conic sections.
Separate the horizontal and the vertical.
Describe motion with equations.
Use two equations to track a point on a line.
Unleash more parametric power to hurl objects through the air.
Join conic sections with parametric equations and preview trigonometry along the way.