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 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?

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.

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.

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.

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.

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.

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.