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.
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.
Simplifying Algebraic Fractions that Contain Addition and/or Subtraction
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.
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.
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?
Simplifying Algebraic Fractions that Contain No Addition or Subtraction
In this highly interactive and animated object, learners follow a step-by-step process to reduce algebraic fractions, which contain no addition or subtraction, to their simplest, most elementary form. Immediate feedback is provided. This activity has audio content.
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.