Calculus Expert
Use the Quadratic Formula to Find Roots of the Function
Get to the root of the problem with an instructive lesson! Learners find the roots of a function using the quadratic formula. A video shows the process and includes an explanation of the substitution steps.
Calculus Expert
How to Remember the Unit Circle
Seeing structure in the patterns is key to understanding the unit circle, and it takes time to become comfortable with those relationships. The video gives learners access to repeated instruction to allow time to develop those...
Calculus Expert
Hyperbolic Identities
Step into the mathematical hyperbolic chamber! Use a video to show a proof of a hyperbolic equation using hyperbolic identities. Learners see the application of identities and practice simplification.
Calculus Expert
Polynomial Long Division for Rational Functions
Long division is back and better than ever! A math video looks at the process of dividing rational expressions using the long division algorithm. The instructor works through the steps of dividing polynomials that result in a...
Calculus Expert
Finding the Linear Function Given Two Points on its Inverse
Linear functions just never go away! Given two points on the inverse of a function, mathematicians find the equation of the original function using a linear model. The lesson captures the importance of understanding the properties...
Calculus Expert
How to Find the Inverse of a Function
Watch a function stand on its head. Reflect a function to create its inverse and then find the inverse equation algebraically. An instructional video demonstrates how to connect the graphical and algebraic process.
Calculus Expert
Using Transformations to Sketch a Graph
Watch as a function becomes transformed one step at a time. The instructor begins with a parent function and analyzes the transformations applied to it. She methodically applies each one with a new graph until reaching the complete...
Calculus Expert
Describing Transformations Algebraically
Working with functions is transformational! An illustrative video explains the basics of the six algebraic transformations. The instructor uses function notation and provides an example of each.
Calculus Expert
Composite Functions
Make nesting dolls out of functions! An educational video describes the steps to creating a composite of three functions.
Calculus Expert
Combinations of Functions and Their Domains
We add numbers, so why not functions? A math video explains the process of combining functions using addition, subtraction, multiplication, and division. The instructor then finds the domain for each new function.
Calculus Expert
Least Squares Line
How does the calculator find a regression line? Don't leave your pupils wondering! The video goes through the process of calculating a regression line algebraically. The example uses a data set and use the formula for calculating...
Calculus Expert
Sketching a Graph from a Story Problem
One of the beauties of mathematics is the ability to take words and turn them into symbols. The lesson uses a graph to tell a story, and translates a description of water changing temperatures into a graph. The instructor then reviews...
Calculus Expert
Modeling the Equation of a Piecewise Defined Function from Its Graph
Build a function from pieces of other functions. Learners observe how to write a piecewise function from its graph with an instructive video. The video uses all notation and vocabulary related to piecewise functions, as well as...
Calculus Expert
How to Find the Center and Radius of a Circle
Working with conic sections is algebraically intense. Use this video to remind learners of the process of writing a conic in standard form to aid in finding its key features. It explains the steps to writing a circle equation in standard...
Calculus Expert
Sketch the Graph of a Parabola
How many ways can you graph a quadratic? The video shows two approaches to graphing a quadratic expression that is initially in standard form. The first method finds the vertex using -b/2a. The second approach is to find (h,k).
Calculus Expert
Equation of the Line in Slope-Intercept Form
Do your learners prefer slope-intercept form when writing linear equations? The previous video in a series completes the same problems using point-slope form. This time, the instructor completes the problems using slope-intercept...
Calculus Expert
Equation of a Line in Point-Slope Form
Do your pupils claim they've forgotten how to write the equation of a line? Instead of reteaching, use this video as their review. It explains how to write the linear equation given a slope and a point, two points, and a point and a...
Calculus Expert
Determining if a Function is Even, Odd, or Neither
Numbers are even and odd, but did you know functions can be too? The lesson shows the process of determining an even or odd function algebraically. It uses polynomial examples and shows an example of each type.
Calculus Expert
Equation Modeling
Do your learners tend to skip the word problems? Use a video to increase their confidence. It walks them through a volume/cost problem and writing the model in terms of just one variable.
Calculus Expert
How to Classify Functions
By the time pupils get to upper-level math courses, they have experience with many different types of functions. How do they keep them all straight? The lesson classifies functions into their types and breaks down those types into...
Calculus Expert
Completing the Square of a Quadratic Function
Don't be a square — learn to complete one! The instructor uses the general vertex form of the quadratic function to solve for the constants a, h, and k. Then, pupils can write the function in vertex form. The lesson follows a video on...
Calculus Expert
Use Laws of Logarithms to Simplify a Logarithmic Function
You don't want to risk breaking the Laws of Logarithms! The video instructor explains the steps to using laws to condense a logarithmic expression and evaluate the result. The lesson is a continuation of videos in a series of 29.
Calculus Expert
Determine Whether a Function is 1 to 1
Do you want to play a little one-to-one? Learn to determine algebraically if a function is one-to-one. Work through two examples using the video as a guide.
Calculus Expert
Sketch the Graph of a Circle
Feel like you're going in circles? The fifteenth lesson in a series of 29 videos gives pupils a resource for writing equations of circles in standard form. Once in standard form, the instructor graphs the circle.