How Probability is Used To Design Casino Games

This video discusses how to use the concept of probability to design games of chance such as casino games In this video, a game of dice is designed such that it will appear to favor the players against the casino. However, using probability, the design actually gives the casino an advantage which is twice the probability of winning more than the player.

Watch how probability can be used to cleverly design this die-rolling game.

PEMDAS and Order of Operations Series

PEMDAS is an acronym used for order of operations. P stands for parenthesis (or generally grouping), E stands for Exponent, and MDAS stands for multiplication, division, addition, and subtraction. This series is composed of three posts illustrating various examples on how to calculate using the order of operations. These posts are composed of videos that are about 10 minutes more or less. All the videos are in mixed Tagalog and English.

PEMDAS and Order of Operations Part 1

This post discusses how to perform basic calculations with 2 or 3 operations without parenthesis. The operations include addition, subtraction, multiplication and division.

PEMDAS and Order of Operations Part 2

This post discusses basic order of operations addition, subtraction, multiplication and division. The use of exponents and parentheses are also discussed. Additional explanation is provided for common misconceptions.

PEMDAS and Order of Operations Part 3

This post discusses more complicated calculations particularly those with nested parenthesis.

It is important that you master the order of operations because it will be used in all mathematics subjects in high school and beyond.

PEMDAS and Order of Operations Part 2


This is the second part of the PEMDAS and Order of Operations series. In this video, I have discussed five more examples on order of operations. I have also discussed here the common mistakes made by students thinking that since M precedes D, then multiplication is always performed before division. You should note that when multiplication and division are adjacent operations (meaning, no + or – in between), you should perform from left to right.  Watch the video for more explanation.

Note: If you can’t see this video on your mobile phone, you can watch it on Youtube.

PEMDAS and Order of Operations Part 1

The order of operations is one of the things that every High School Students should learn. Basically, we use the the acronym PEMDAS or the like in ordering the operations to be used in calculation. PEMDAS stands for parenthesis, exponent, multiplication, division, addition and subtraction. In this video, we discuss the basics of PEMDAS and order of operations among integers.

If you can’t see the video below on your mobile phone, you can watch it on Youtube.

How to Multiply Polynomials Series

How to Multiply Polynomials Series is a series of Tagalog math tutorial video posts that discusses the basics of multiplying polynomials. Before watching this series, it is important that you already know the laws of exponent.

How to Multiply Polynomials Series 1  discusses how to multiply a monomial trinomial.

How to Multiply Polynomials Series 2 discusses multiplication of two binomials. This also includes the discussion on different strategies such as “horizontal multiplication,” “vertical multiplication,” and box method.

How to Multiply Polynomials Series 3 discusses multiplication of trinomials to trinomials using “vertical multiplication” and box method.

How to Multiply Polynomials Part 3

This is the third part of the Multiplying Polynomials Series. In this video, we learn how to multiply polynomials using two different methods. The first method is by putting the given vertically just like we do when we multiply numbers. The second method is using the box method.

If you can’t see this video on your mobile phone, you can watch it on Youtube.

Solving Equations Tutorial Part 3

This is the third part of the Solving Equations Tutorial Series. In this video tutorial, we learn how to solve equations with fractions. In solving equations with fractions, we need to eliminate the denominators of the terms with fractions. To do this, we multiply every term in the equation with the least common denominator of the fractions.

If you can’t see this video on your mobile phone, you can watch it on Youtube.

Solving Equations Tutorial Part 2

This is the second part of the How to Solve Equations Tutorial series. In this video, we solve more complicated equations particularly using the distributive property and solving equations with fractions. We have already solved 5 equations in the first part, so we will start with the sixth example in this video. The equations solved in this video are the following:

6.) 8x = 4x - 12

7.) x + 4 = 4x - 12

8.) 2(2x - 3) = 5

9.) \frac{3x}{5} + 4 = 7

10.) \frac{3x + 3}{2} = x - 5

If you can’t see this video on your mobile phone, you can watch it on Youtube.

Solving Equations Tutorial Part 1

Solving equations is one of the most important skills in mathematics and must be mastered by everyone. Solving equations is done in almost every branch of mathematics, from elementary up to university mathematics.

This is the first video in the How to Solve Equations Tutorial Series. In this video tutorial, we solve the simplest equations. In the second part and third part, we will be solving more complicated equations.

Note: If you can’t see this video on your mobile phone, you can watch it on Youtube.

How to Add and Subtract Polynomials 3

This is the third part and the conclusion of the How to Add and Subtract Polynomials series. In this video, I have discussed subtraction of polynomials and roles of parenthesis in subtraction. In order to understand subtraction of polynomials, recall that a + (-b) = a - b. Now, if the subtrahend is more than one terms, you will get the “negative” of b which is this time a polynomial. Watch the video above for the details of this discussion

If you cannot watch this video on your mobile phone, you may watch it on Youtube.

How to Add and Subtract Polynomials 1

After learning the Laws of Exponents, we now learn how to add and subtract algebraic expressions, or , in general, polynomials. In the video above (language is Taglish or mixed Tagalog and English), I have discussed the idea on how to add and subtract polynomials. In adding algebraic expressions or polynomials, the idea is to combined like terms.

Like terms are terms with the same variable/s and in which the same variables have the same exponents. Watch the video above for more explanation.

If you can’t see the video above on your mobile phone, you can watch it on Youtube.

Word Problem: Number Problem 1

This is the first post in the Word Number Problem Solving Series. In this video, we discuss two numbers where there sum is given an the first number being more than the other number. Watch the detailed solution and explanation above in Taglish. Watch out for the next video.

If you can’t see this video on your mobile phone, you can watch it on Youtube.