In this video lesson, students learn how to convert fractions into repeating decimals and how to visually represent them. The teacher explains the concept using examples and a number line, demonstrating that repeating decimals only have...

In this video, students learn how to represent fractions as a sum of unit fractions using a number line. The video explains that fractions represent exact numbers on a number line, and demonstrates how to divide the distance between 0...

In this lesson, students will learn how to sort quadrilaterals by grouping them based on their shared attributes. They will explore concepts such as parallel sides, square corners, and sides of equal length.

The second moment of area (or moment of inertia of area) about the x or y axis can be found using the integral of y^2 dA and x^2 dA respectively. The larger the moment of inertia, the greater resistance to bending / rotation.

The bar is purely rotating about the pin support. However, we can view this phenomenon as simultaneously rotating about the center of mass while the center of mass is moving in a circular path. This means we have to include both the...

In this video, the teacher explains how to find the perimeter of a rectangle using an algorithm. They clarify the difference between area and perimeter, introduce the concept of variables, and demonstrate how to use the formula for...

This video explains how to add negative numbers by using a number line. It demonstrates that adding negative numbers is similar to adding positive numbers, as both involve moving in the same direction on the number line. The video also...

How big do you think our solar system is? Up until Pluto? A bit beyond? How big can other solar systems get?

A formal proof of the parallel axis theorem. It's really useful for finding moments of inertia of composite objects and also objects which aren't rotating around the center of mass.

Zach Star demonstrates a surprising topological proof - you can always cut three objects in half with a single plane

In this lesson we continue to use what we have learned about solving Uniformly Accelerated Motion (UAM) problems. This problem is more complicated because it involves two, interconnected parts.

Planetary orbits are elliptical because gravitational interaction over time changes the delicate balance of mass, velocity and distance from the star which otherwise keeps planetary orbit circular. For a very long time, from Ptolemy to...

This video is a lecture presentation on experiments to find the speed of waves on water. The presenter demonstrates the use of a Ripple tank to determine the speed of waves traveling across the surface of shallow water. The equipment...

👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the...

Orbax and Pepper demonstrate and attempt the Mentos bottle rocket/car experiment. This video can be used as a step-by-step guide to help students create their own experiment.

Here is a practice FRQ from the 2005 AP Micro exam. Try it on your own and then go over the answers.

This video is a lecture on how to measure the distance traveled by an object using its velocity-time graph. The concept of the area under the velocity-time graph representing distance is explained, and examples are provided to...

In this video, students learn how to determine the units for their answers when using formulas. The teacher explains the importance of including units in calculations and highlights common mistakes. Through examples involving volume,...

It explains the derivation of formula to obtain the distance between two points in space. It also provides some solved examples on computing the distance between two points.

This is a lecture video on moments, which explains what a moment is and how to calculate the moment of a force. The video uses various examples to illustrate the concept of moments and how they are affected by the magnitude and direction...

In this video, the teacher explains how to find the solutions to a system of equations by graphing them and looking for points of intersection. They demonstrate that a system of equations can have one, more than one, or no solutions,...

In this video, students will learn how to find the total number of same-sized squares in a rectangle by dividing it into rows and columns. The video demonstrates different methods to count the squares, either by counting each square...

How to solve a word problem using vectors

Here I calculate the second moment of area (moment of inertia) for an I beam. The easiest way to do this is to find the moment of inertia of each of the rectangles about the I beams centroid (note you'll have to use the parallel axis...