Account Information for MrA
Ryan Andersen
K-12 Teacher
Synthetic Division
(Advanced Algebra)
A quick review of long polynomial division, and an explanation of synthetic division. This is a quicker, easier way to...
Repeating Decimals
(Algebra)
An explanation of how to change a repeating decimal to a fraction without a calculator. Three different examples are included.
Change of Base
(Trig / Pre Calc)
An explanation of how bases (ie: Base 10, Base 2 / Binary) work, how to convert between bases, and how...
Completing the Square
(Algebra)
A coherent explanation of Completing the Square in a way that makes sense and you can follow. Also, an example...
Introduction to Derivatives
(Calculus)
A quick introduction to derivatives for the student having trouble understanding the concept of a derivative. An explanation of how...
Intro to Slope
(Algebra)
An introduction to slope. What slope means, how to find the slope of a line, and how to find slope...
Equations for Lines
(Algebra)
An explanation of point-slope and standard forms for lines. Also, an explanation of how to get to point-slope form from...
Graphing Standard Form
(Algebra)
Graphing a standard form line as well as writing equations for a line that goes through two points.
Graphing Lines
(Algebra)
Graphing linear equations for real-life situations and finding intercepts. Also, more practice graphing lines in standard form and point-slope form.
Parallel / Perpendicular Lines
(Algebra)
How to determine whether lines are parallel or perpendicular and how to write parallel / perpendicular equations.
Factoring Integers
(Algebra)
A review of factoring integers and finding greatest common factor and an introduction to factoring polynomials.
Factoring by Grouping
(Algebra)
Taking out the greatest common factor from polynomials and factoring by grouping.
Factoring Trinomials
(Algebra)
A straight-forward way to factor any trinomial. Rewriting a trinomial and factoring it by grouping. Also, factoring a trinomial using...
Factoring Differences of Squares
(Algebra)
Factoring difference of square polynomials, including a way to multiply large numbers with mental math. Also, more factoring trinomial practice.
Factoring Perfect Squares
(Algebra)
How to recognize / factor perfect square trinomials. Also, what to look for to find a perfect square trinomial, and...
Solving polynomial equations
(Algebra)
Solving polynomial equations by factoring, using the zero product property.
Writing Equations
(Algebra)
Writing equations based on real-life situations. Also, solving these equations.
Graphing Linear Equations
(Algebra)
Determining if an equation is linear. How to graph a linear equation using a table.
Functions
(Algebra)
What is a function? What are some examples of functions? How do you determine if something is a function? What...
Introduction to Induction
(Beyond Calculus)
An introduction to the art of proving by induction. A list of steps to follow in order to prove something...
Non-Euclidean Geometries
(Beyond Calculus)
An explanation of Euclid's five postulates -- and an especially in-depth explanation of Euclid's 5th postulate (the parallel postulate). An...
Pascal's Triangle
(Playing with Numbers)
An explanation of what Pascal's Triangle is, how it is formed, and several different patterns inside of the triangle. Very...
Exponents
(Algebra)
An introduction to monomials, rules of exponents, simplifying monomials / polynomials. Also, proofs of some rules of exponents.
Scientific Notation
(Algebra)
A simple explanation of how to convert between decimal notation and scientific notation. Several examples of converting both ways.
Introduction to Polynomials
(Algebra)
An introduction to polynomials. What is a polynomial? What are the names of different polynomials?
Adding and Subtracting Polynomials
(Algebra)
How to add and subtract polynomials with several examples.
Multiplying a Polynomial by a Monomial
(Algebra)
How to multiply a polynomial by a monomial using the distributive property and the rules of exponents.
Multiplying Polynomials
(Algebra)
Several approaches to multiplying polynomials. Distributing, foiling, long multiplication, and using Punnett Squares are described as ways to multiply polynomials.
Special polynomial products
(Algebra)
How to recognize / find special products with polynomials.
Types of Proofs
(Beyond Calculus)
A brief introduction to several types of proofs and simple examples of each type. Several proofs of each type are...
Unit Circle
(Trig / Pre Calc)
An introduction to the unit circle and unit circle trigonometry. How does traditional trigonometry apply to the unit circle? Also,...
Simplifying Monomials
(Algebra)
Example problems for simplifying monomial expressions using the rules of exponents.
Fun with Pi
(Playing with Numbers)
A video discussing pi. This video talks about what pi is, how to calculate pi, where pi is found, and...
Angles
(Geometry)
Learn what an angle is and how to estimate degree measures. Also, learn about acute, obtuse, right, supplementary, complementary, and...
Area Formulas
(Geometry)
Learn about formulas for the area of shapes. Understand why those formulas work as well as how to use them.
Box and Whisker
(Statistics)
Statistics lesson for learning how to make a box and whisker plot from some data. Finding minimum, maximum, median, and...
Coordinate Geometry
(Geometry)
Learn how to find the area of several shapes on a coordinate plane.
Coordinates
(Algebra)
Learn how to plot points and how to name points in the Cartesian coordinate plane.
Correlation
(Statistics)
Learn what it means for two variables or items to be correlated. Also, learn about correlation and causation and how...
Mean, median, and mode
(Statistics)
Learn how to find the mean, median, and mode of data sets. Also, learn the difference between them and why...
Negative Numbers
(Algebra)
Learn how to use negative numbers, especially as they pertain to variables. They are taught using the idea of opposites...
One Variable Inequalities
(Algebra)
Learn how to solve and graph inequalities with only one variable. Learn when to flip the inequality sign and graph...
Opposites and the Distributive Property
(Algebra)
Learn what it means to have the opposite of a number or a variable, and learn how to distribute expressions...
Stem and Leaf Plots
(Statistics)
Learn how to make a stem and leaf plot and a histogram. Stem and leaf plots are very useful in...
Modeling Problem Situations
(Algebra)
Modeling problem situations with equations. Learn how to take a word problem and write an equation to solve it. Also,...
Using Reciprocals
(Algebra)
Learn what a reciprocal is and how to use them to solve equations.
Rewriting Formulas
(Algebra)
Learn how to solve a formula or equation for a specific variable.
Rotations
(Geometry)
Learn how to determine the amount and direction of rotations of geometric figures. Also, learn about rotational symmetry.
Solving with variables on both sides
(Algebra)
Learn how to solve equations with variables on both sides. Use algebraic reasoning and visual models to learn what it...
Translations
(Geometry)
Learn the basics of what a translation is and how to translate figure on the coordinate plane and just in...
Variables in graphs
(Algebra)
Learn the basics of what an independent variable is, what a dependent variable is, and what difference it makes when...


