Sal solves a complex determinant problem from the 2010 IIT entrance test. Knowledge of determinants, the exponential form of complex numbers, trigonometric ratios, and algebraic thinking are all utilized here.

This video gives an excellent overview of the different representations of a complex number. First, Sal reviews a pictorial representation of a complex number as an Argand diagram, then shows how to find the modulus and the argument of a...

Linear or exponential?. Learners watch an informative video comparing situations that may be modeled by either a linear or exponential relationship. Pupils determine the type of relationship and then create a function that models the...

Otters help learners increase fluency with exponents. Given four options, pupils determine which one would make a given equation involving exponents true. The faster individuals answer, the faster their otter races around the track in...

Scientific notation is the focus of a five-question interactive. A model with movable points offers a visual reference to help solve true or false, multiple-choice, and fill in the blank questions. A discussion question challenges...

Extend exponent properties beyond zero. After a quick review of the properties of exponents as they relate to negative exponents, the narrator works several examples for viewers. The examples start with simple, requiring only one...

Two to the fourth equals four squared. Scholars work through a word problem to find the equivalent expressions in a bake sale. Then they create another exponential expression to represent the same number.

Exponents can be powerful, if only you know how to use them. A short YouTube video describes how to use exponential notation to represent repeated multiplication. It also shows how to evaluate or simplify exponential expressions.

Are the Arctic ice caps really melting out of existence? Junior climatologists examine the statistics of ice decline through four math-based lessons. Each activity incorporates data, climate information, and environmental impact into an...

Here's a perfect way to introduce perfect squares. Individuals color in the diagonals of squares and record observations about patterns. They connect their diagrams to exponents of two and perfect squares.

Pupils explore objects in space in terms of their distance and size. They learn how to write and interpret exponential notation, how distances are related to time and about light years, and apply all of this knowledge to objects in the...

Support math vocabulary instruction with a reference sheet designed to meet the needs of sixth grade mathematicians. Four pages consist of 20 terms, their definitions, and a picture representation. Terms include percent, least...

Power up! A resource provides the basics of dealing with exponents, including the properties of exponents and notation. Problems concentrate on simplifying both numerical and algebraic expressions that contain negatives, building a good...

Explaining the hows and whys of exponent laws in an approachable and non-intimidating manner is no small task. But here, it is accomplished with humor and real-life examples. Set up with scenarios from biology, the role of exponents and...

This video shows how to convert an equation in natural logarithmic form to exponential form in base e. The instructor reviews the definition of logarithms before completing an example.

So you have a given number in expanded form where you have to multiply that same number several times. Make it a little easier for yourself and write it in exponential form. As long as the number has the same base being multiplied you...

Identify the base, identify the exponent, write out the base the number of times indicated by the exponent. Then multiply the base as written out in expanded form. Finally simplify your answer and you will have just evaluated an exponent.

Factor a binomial using the sum of cubes method. The strategy here is to rewrite each of the expressions in the binomial as a term cubed. That's just two steps. Ok. Wait! There is a formula that is used to finish factoring the binomial....

Have you ever wondered how many ants make up an elephant? Inquisitive minds will be amazed as they use scientific notation to compute and compare the mass of an elephant to an ant. Have participants make guesses and see how close they...

So you have a given number in expanded form where you have to multiply that same number several times. Make it a little easier for yourself and write it in exponential form. As long as the number has the same base being multiplied you...

Identify the base, identify the exponent, write out the base the number of times indicated by the exponent. Then multiply the base as written out in expanded form. Finally simplify your answer and you will have just evaluated an exponent.

In this scientific notation worksheet, students convert 8 numbers from scientific notation to standard notation. They convert 8 numbers from standard notation to scientific notation. They solve 14 problems using the exponent function on...