## Algebra Basics: What Are Polynomials?

Are you struggling with Polynomials? Check out this video below to learn what Polynomials really is and how you can solve these math problems with ease!

## Can you solve the prisoner hat riddle?

You and nine other individuals have been captured by super-intelligent alien overlords. The aliens think humans look quite tasty, but their civilization forbids eating highly logical and cooperative beings. Unfortunately, they’re not sure whether you qualify, so they decide to give you all a test. Can you solve this hat riddle? Alex Gendler shows how.

## The Three Prisoner Puzzle

Here is one of my all-time favourite puzzles. This can be solved with just logic – no math needed. Sometimes those who are not so good at math, get it quicker! Try it out for yourself.

## Three Logic Problems

Here are three challenging logic problems to try out. Good luck!

## The Riddle Bridge

Taking that internship in a remote mountain lab might not have been the best idea. Pulling that lever with the skull symbol just to see what it did probably wasn’t so smart either. But now is not the time for regrets because you need to get away from these mutant zombies…fast. Can you use math to get you and your friends over the bridge before the zombies arrive? Alex Gendler shows how.

## The Burning Island Puzzle

A man is stranded on an island covered in forest.

One day, when the wind is blowing from the west, lightning strikes the west end of the island and sets fire to the forest. The fire is very violent, burning everything in its path, and without intervention the fire will burn the whole island, killing the man in the process.

There are cliffs around the island, so he cannot jump off.

How can the man survive the fire? (There are no buckets or any other means to put out the fire).

## The Black And White Hats Problem

Cannibals ambush a safari in the jungle and capture three men. The cannibals give the men a single chance to escape uneaten.

The captives are lined up in order of height, and are tied to stakes. The man in the rear can see the backs of his two friends, the man in the middle can see the back of the man in front, and the man in front cannot see anyone. The cannibals show the men five hats. Three of the hats are black and two of the hats are white.

Blindfolds are then placed over each man’s eyes and a hat is placed on each man’s head. The two hats left over are hidden. The blindfolds are then removed and it is said to the men that if one of them can guess what color hat he is wearing they can all leave unharmed.

The man in the rear who can see both of his friends’ hats but not his own says, “I don’t know”. The middle man who can see the hat of the man in front, but not his own says, “I don’t know”. The front man who cannot see ANYBODY’S hat says, “I know!”

How did he know the color of his hat and what color was it?

## The 5 Pirates Puzzle

5 pirates of different ages have a treasure of 100 gold coins.

On their ship, they decide to split the coins using this scheme:

The oldest pirate proposes how to share the coins, and ALL pirates (including the oldest) vote for or against it.

If 50% or more of the pirates vote for it, then the coins will be shared that way. Otherwise, the pirate proposing the scheme will be thrown overboard, and the process is repeated with the pirates that remain.

As pirates tend to be a bloodthirsty bunch, if a pirate would get the same number of coins if he voted for or against a proposal, he will vote against so that the pirate who proposed the plan will be thrown overboard.

Assuming that all 5 pirates are intelligent, rational, greedy, and do not wish to die, (and are rather good at math for pirates) what will happen?

## Redesigned SAT: What You Need To Know

In March of 2014, College Board President, David Coleman, announced plans for an overhaul of the SAT. The new SAT, which will be officially introduced this coming March, aims to realign the test with the work done in high schools and more accurately assess what student should be learning before college.

Much of the discussion surrounding the new SAT has centered on how the changes will impact colleges, high schools, and test prep providers. But what the students? What type of impact will the new exam have on test takers? Here is where future SAT test-takers should focus:

1) Pick Up A Book

The College Board has decided to eliminate the abstruse and outdated language from the SAT. They test will no feature words that students are more likely to encounter in college and the workplace. Many words still look familiar, but their meaning will depend on context, and answering questions correctly will require strong skills in reading comprehension and interpretation.

The new SAT will contain a large number of passages from the Declaration of Independence, the Federalist Papers, and other Founding Documents. Therefore, taking advanced coursework in U.S. history could really help improve your standardized test score. Consider enrolling in an honors or AP U.S. History course. The skills you learn in these classes may help you negotiate the exam’s new writing section, which requires that students analyze a passage and explain how its author uses evidence and reason to build an argument.

3) Statistics

The redesigned math section has a primary focus on quantitative reasoning and real world applications. Test takers will be asked to analyze rates, interpret graphs, synthesize mathematical information, and make sense of patterns within a particular dataset. All of these skills are considered to be essential in today’s big data environment and should be developed during a statistics course.

4) Sample Free Test-Prep

The College Board has partnered with Khan Academy, a leading online learning platform, to provide free test preparation services. This is a great way to get a better idea of how the test will actually read. However, you still may benefit from fee-based options for some more in-depth training as to what will be on the test.

## What It Takes To Be A Successful Tutor

Effective tutoring is all about producing results. From a tutor’s perspective, it’s about witnessing your student achieve proposed academic goals and make way for more, in-depth learning. From a student’s point of view it’s about feeling confident with newly learned information and putting it to good use. As simple as this may all sound, effective learning is not something that happens overnight. Effective tutoring should be a direct reflection of a solid tutor-student relationship that’s been built over time, where both parties have a reached a point where they each feel fulfilled by their progress and excited for the academic challenges that are bound to come their way. Here are three key points for tutors to become more effective:

## Prepare

You can never be prepared enough, but there more you are the better. Because tutoring can take place outside of a formal educational environment, it is very important that you shape your own. Make sure to set a schedule with your students, preferably a consistent schedule ahead of time. Establishing a learning rhythm will be key for your students’ academic improvement. Also, try to carve out what each session will be about. Of course there will always be questions that may arise not pertaining to the day’s lesson, so it’s good to leave some extra room for that. But for the most part, focusing each session on either a specific chapter, theme, etc. will also help establish a beneficial learning rhythm for your students.