A Visual Approach To Simplifying Radicals

By Kevin Ritzman

In this animated object, learners follow a process for simplifying radicals.

Adding or Subtracting Algebraic Fractions

By Jim Cihak

Learners follow step-by-step instructions for finding the lowest common denominator for a group of algebraic fractions and then enter their answers to three problems. Immediate feedback is provided. This activity has audio content.

An Algebraic Word Problem Involving Motion: Case 1

In this animated and interactive object, learners use an algebraic formula to solve a problem involving distance, rate, and time.

An Algebraic Word Problem Involving Motion: Case 2

In this animated object, learners use an algebraic formula to solve the following problem: An airplane travels a certain distance with the wind in the same amount of time that it takes to travel a shorter distance against the wind. Given a constant wind speed, what is the speed of the plane without a wind?

An Introduction to Algebraic Word Problems

In this animated object, learners follow the steps for solving word problems using algebra. An introductory example is explained.

Combined Variation

By Terry Lark

In this learning activity you'll practice calculating a combined variation problem.

Complete the Square

By Cynthia Sanvidge

In this learning activity you'll practice calculating quadratic equations using the 'completing the square' method.

Determinant of the Third Order

By Roy Peterson

In this learning activity you'll evaluate the determinant of a 3 X 3 matrix.

Direct Variation

In this learning activity you'll walk through a direct variation problem.

Dividing and Simplifying Algebraic Fractions

Learners follow step-by-step instructions for dividing algebraic fractions. They begin by reducing the fractions to their simplest form. Immediate feedback is provided. This activity has audio content.

Excel: Complex Addition

By Patrick Hoppe

Students view the steps to follow to add complex numbers in Excel.

Excel: Determining the Square Root of a Complex Number

Learners view the steps for determining the square root of a complex number in Excel.

Excel: Entering a Complex Number

Learners examine the complex number function to convert real and imaginary coefficients into a complex number.

Factoring a Quadratic Trinomial

In this learning activity you'll factor an algebraic expression of the form AX(Squared) + BX + C using the FOIL technique.

Factoring by the Difference of Two Perfect Squares

In this learning activity you'll factor problems using the difference of two perfect squares.

Finding the Lowest Common Denominator for Algebraic Fractions

In this interactive and animated object, learners follow instructions for finding the lowest common denominator for a group of algebraic fractions. Immediate feedback is provided. This activity has audio content.

Fundamental Laws of Algebra

By Allen Reed, Douglas Jensen

Learners review the fundamental laws of algebra including the commutative law of addition, the commutative law of multiplication, the associative law of addition, the associative law of multiplication, and the distributive law. Examples are given.

Gear Ratio Concepts

By James Bourassa

In this animated object, learners examine the concept of gear ratios. The number of teeth, diameters, and velocity relationships are discussed and calculated using linear ratio equations. A quiz completes the activity.

Identifying the Number of Significant Digits

By Ron Wallberg

Learners will identify the number of significant digits in practice problems.

Inverse Variation

In this learning activity you'll practice calculating an inverse variation problem.

Joint Variation

In this learning activity you'll practice calculating a joint variation problem.

Karnaugh Maps

Learners examine the Karnaugh map for a three-variable system. Several examples are given.

Multiplying Monomials

In this learning activity you'll identify and calculate the multiplication of monomials.

Numerical Curiosities: Part 2

By Jeganathan Sriskandarajah

In part 2 of this series, learners follow the steps of the “mathemagician” to examine these numerical curiosities: The 189 Challenge; An Armstrong Number: What’s Special About 153? Is 495 Different or Indifferent? Is 6174 Different or Indifferent? It is always 618, and Beginning and Ending the Same.

Numerical Curiosities: Part 3

In this interactive object, part 3 in a series, learners follow the steps of the “mathemagician” to examine four numerical curiosities: What’s Special About 1089, Perfect Squares: 1089 and 9801, The Mathematical Significance of 1776, and The Calculator Number Game. The learner will also study six number patterns and look at one remarkable table. Immediate feedback is provided.