👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...

In this introductory free-fall acceleration problem we analyze a video of a medicine ball being dropped to determine the final velocity and the time in free-fall. Included are three common mistakes students make. "Why include mistakes?"...

Part II of The Scientific Revolution explores the latter half of this movement and the gradual acceptance of scientific truth. This fascinating period of history chronicles European society's emergence from church domination that...

Solutions to Problem 7.

We all know what numbers are 1, 2, 3, 4, 5, …. Including negative numbers -1, -2, -3, -4, -5, ... But did you know that mathematicians classify numbers into different types… into a number system. Let’s start at the top with real numbers....

Solutions to Problem 32.

Solutions to Problem 28.

In this last video on measurement of segments we will go over 2 challenging examples involving congruent segments and plenty of algebra to solve.

Solutions to Problem 21.

A quadratic function can be written in general form or in vertex form. But given a quadratic function in one of these forms, how can we convert to the other form? This lecture shows how conversion formulas between these two forms can be...

In This Episode, Tyler Teaches Us About HOW COMPANIES SHOULD USE SOCIAL MEDIA

Solutions to Problem 3.

In This Episode, Tyler Teaches Us About The Area of a Triangle - Geometry

👉 Learn how to determine the differentiability of a function. A function is said to be differentiable if the derivative exists at each point in its domain. To check the differentiability of a function, we first check that the function is...

Solutions to Problem 31.

When Gauss-Jordan elimination transforms a matrix representing an inconsistent system of linear equations to reduced row-echelon form, a matrix row containing all zero coefficient entries and a non-zero constant entry is produced,...

If a term raised to a power is enclosed in parentheses and then raised to another power, this expression can be simplified using the rules of multiplying exponents.

Introduction to Quadratics

👉 Learn how to reflect points and a figure over a line of symmetry. Sometimes the line of symmetry will be a random line or it can be represented by the x or y-axis. Either way when reflecting a point and or figure over the line of...

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.

Although the Greeks initially thought all numeric qualities could be represented by the ratio of two integers, i.e. rational numbers, we now know that not all numbers are rational. How do we know this?

In This Episode, Tyler Teaches Us About How to Insert Text, Shapes, and Lines in GOOGLE SLIDES

Any natural number can be decomposed into a product of prime factors. Prime factorization is fundamental to many arithmetic operations involving fractions.

This lesson builds on what we learned about position as a function of time graphs. We start with velocity as a function of time graphs, determine what the motion would look like and then draw position and acceleration as a function of...