Curated Video
Determining Rational X Intercepts of Quadratic Functions through Factoring
In this video, the teacher explains how to determine the number of rational x-intercepts in the graph of a quadratic function by examining the method used to factor the function. The video also clarifies the difference between rational...
Curated Video
Converting Unit Fractions to Repeating Decimals
This lesson covers the concept of rational numbers, terminating decimals, and common misunderstandings when dividing. The teacher demonstrates the conversion process with examples of 1/3 and 1/6, and also explains how to represent...
Zach Star
The Math Major (Part 2)
This video continues on from part 1 and covers pure math concepts such as abstract algebra, real analysis, and topology. Those classes have less obvious real world applications than those discussed in the previous video and are much more...
Why U
Pre-Algebra 32 - Irrational Numbers
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?
Curated Video
Adding Rational Numbers: Algorithms and Number Lines
This video clarifies that rational numbers include integers and demonstrates the rules for adding numbers with like signs and different signs. Through examples and visual representations on a number line, students learn how to determine...
Brian McLogan
Classifying real numbers, -1.876
👉 Learn how to classify numbers. We will classify numbers as real, imaginary, rational, and irrational.
Brian McLogan
Classifying real numbers
👉 Learn how to classify numbers. We will classify numbers as real, imaginary, rational, and irrational.
Brian McLogan
How to use the quadratic formula to solve a quadratic equation
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Brian McLogan
Algebra 2 - Why do we rationalize the denominator with complex numbers, (6 + 8i)/9i
In this video tutorial I show you how to divide complex numbers. Since complex numbers have an imaginary part which we cannot divide into other numbers we rewrite the expression by multiplying by i or the conjugate on the denominator or...
Flipping Physics
Defining Pi for Physics
Pi is defined as the ratio of the circumference of a circle to its diameter. A frisbee is used to show the definition of pi. The units for pi, radians, are discussed. The conversion factor between revolutions, degrees, and radians is...
Brian McLogan
Learning to Find All of the Zeros of a Polynomial
👉 Learn how to find all the zeros of a polynomial. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a polynomial are the values...
Why U
Pre-Algebra 33 - Real Numbers
There are an infinite number of rational numbers, but there are infinitely more irrational numbers. Neither type of number can represent every type of numeric quantity. By combining the rational and irrational numbers into the real...
Curated Video
Adding and Subtracting Rational and Irrational Numbers
This video explains how to predict the result of adding and subtracting rational and irrational numbers by looking at general cases algebraically. It covers the definitions of rational and irrational numbers and emphasizes that adding...
Brian McLogan
Given a Polynomial Function Find All of the Zeros
👉 Learn how to find all the zeros of a polynomial that cannot be easily factored. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros...
Brian McLogan
Solve an equation using the square root method
👉Learn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Brian McLogan
Ordering from least to greatest
👉 Learn how to classify numbers. We will classify numbers as real, imaginary, rational, and irrational.
Brian McLogan
How to evaluate a radical of a perfect square rational number ex 6, root(1/25)
👉 Learn how to find the square root of rational numbers. To find the square root of a rational number, we first express the rational number as the square root of the numerator divided by the square root of the denominator and simplify....
Brian McLogan
Graphing logarithmic equations
👉 Learn all about graphing natural logarithmic functions. A logarithmic function is a function with logarithms in them. A natural logarithmic function (ln function) is a logarithmic function to the base of e. The graph of the parent...
Brian McLogan
Simplifying the root of a rational number
👉 Learn how to find the square root of rational numbers. To find the square root of a rational number, we first express the rational number as the square root of the numerator divided by the square root of the denominator and simplify....
Curated Video
Simplifying Square Roots with Physical Models
In this video, the teacher explains how to simplify square roots by using physical models and the Pythagorean theorem. They demonstrate how to calculate the length of a square root by finding the area of squares and splitting them into...
Brian McLogan
Dividing a integer by a radical
👉 Lean how to divide rational expressions with a radical in the denominator. To divide rational expressions with a radical in the denominator, we rationalize the denominator by multiplying both the numerator and denominator by the...
Brian McLogan
Given a point find the six trigonometric functions of the angle
👉 Learn all about evaluating trigonometric functions with triangles. In this playlist, we will learn how to evaluate, sine, cosine, tangent, cotangent, secant, and cosecant when given the sides of a triangle. If we have missing sides we...
Curated Video
How to Write Terminating and Repeating Decimals as Fractions
In this video lesson we will learn how to write terminating and repeating decimals as fractions. We will discover that a terminating decimal is a number the "ends". We will write the terminating decimal as a fraction while reviewing...
Curated Video
Understanding Closure Property: Sets of Numbers
Closure refers to the property of a set of numbers and operations where performing those operations on any two elements of the set always results in another element of the set. We examine various sets of numbers, such as whole numbers,...