Taking a percentage of a number.
Roller coasters projects are frequently used in middle and high school physics classes to illustrate the principle of conservation of mechanical energy. Potential energy transforms to kinetic energy and vice versa, with gravity being the driving force during the entire process. Even though friction force is mentioned, it is rarely considered in the velocity calculations along the coasters’ paths. In this high school lesson, the friction force is considered in the process. Using basic calculus and the work-energy theorem for non-conservative forces, the friction along a curved path is quantified, and the cart’s velocity along this path is predicted. This activity and its associated lesson are designed for AP Calculus. Practice problems/answers, a PowerPoint® presentation and student notes are provided.
Solving systems of equations with substitution.
Terms coefficients and exponents in a polynomial
Testing Solutions for a System of Inequalities
Testing a solution for a system of equations
Testing if a relationship is a function
This video is from the Khan Academy subject of Math on the topic of Algebra and it covers Thinking about multiple solutions to a system of equations.
A Third Example of Graphing a Rational Function
Three Equation Application Problem
Two-Step Equations
Solving Inequalities
This video is from the Khan Academy subject of Math on the topic of Algebra and it covers Understanding Function Notation Example 1).
This video is from the Khan Academy subject of Math on the topic of Algebra and it covers Understanding Function Notation Example 2).
This video is from the Khan Academy subject of Math on the topic of Algebra and it covers Understanding Function Notation Example 3).
What unit vectors are and how to construct them
Using Multiple Logarithm Properties to Simplify
This video is from the Khan Academy subject of Math on the topic of Algebra and it covers Using a system of equations to find the price of apples and oranges.
This video is from the Khan Academy subject of Math on the topic of Algebra and it covers Using expressions to understand relationships.
Introduction and examples of variables, expressions and equations