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.

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.

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.

Solving Equations that Contain Algebraic Fractions

Learners use the lowest common denominator to simplify and then solve equations with algebraic fractions. Immediate feedback is provided. This animated object has audio content.

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?

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.

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.

In this interactive object, learners follow step-by-step instructions for reducing algebraic fractions so that they can then be multiplied. This activity has audio content.

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.

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.