Factoring by the Difference of Two Perfect Squares

By Roy Peterson

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

Multiplying Monomials

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

Slope and Intercept on Graphing Calculators

By Ron Keys

The learner reads directions for finding the slope, intercept, and correlation coefficient for a group of ordered pairs using one of eight different scientific calculators.

Solving Equations: Properties of Equality

By Allen Reed, Douglas Jensen

In this interactive object, learners examine the properties of equality and use those properties to solve simple equations.

Gear Ratio Concepts (Screencast)

By James Bourassa

In this screencast, learners examine the concept of gear ratios. The number of teeth, diameters, and velocity relationships are discussed and calculated using linear ratio equations.

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.

Karnaugh Maps

By Patrick Hoppe

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

An Algebraic Word Problem Involving Motion: Case 2

By Kevin Ritzman

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?

Excel: Determining the Square Root of a Complex Number

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

A Visual Approach To Simplifying Radicals

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

The TI-83 Plus Calculator: Using the LOG Function

Students follow the correct keystrokes to calculate the logarithm of a number.

Fundamental Laws of Algebra

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.

Identifying the Number of Significant Digits

By Ron Wallberg

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

Excel: Entering a Complex Number

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

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.

Simplifying Algebraic Expressions: Addition & Subtraction

Learners read definitions of the terminology associated with algebraic operations and then follow steps to simplify algebraic expressions.

Quadratic Variation

By Terry Lark

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

Statics: Resultant Calculations via Graphical Method

By Steve Whitmoyer

In this interactive learning object, students calculate a resultant of multiple forces acting in a concurrent, coplanar condition.

Joint Variation

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

Numerical Curiosities: Part 4

By Jeganathan Sriskandarajah

In this fourth part in a series, learners follow the steps of the “mathemagician” to examine three numerical curiosities: Be a Psychic by Predicting Birthdays, Predict a Card with Mind Reading, and Predict the Three Die Values Your Opponent Has Rolled. Learners will also study palindromic numbers and look at two alphametric puzzles.

Simplifying Square Roots

In this learning activity you'll simplify square roots involving the product of a numeric and variable term.

Simplifying Algebraic Fractions that Contain Addition and/or Subtraction

By Jim Cihak

In this interactive object, learners follow step-by-step instructions for reducing algebraic fractions, which contain addition and/or subtraction, to their simplest form. This activity has audio content.

Variation - Application Problems

In this learning activity you'll practice two variation application problems.

Simplifying Algebraic Expressions: Multiplication

Learners read definitions of the terminology associated with algebraic operations and then follow steps to use the fundamental laws of multiplication to simplify algebraic expressions.

Numerical Curiosities: Part 2

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.