Recreational Mathematics: Palindromes in Mathematics and the Search for Patterns
Users study a chart containing numbers 1 to 99 and look for trivial palindromes as well as double and triple iteration palindromes. The reverse and add technique is demonstrated.
The Mathematics of Buying: Putting It All Together
Learners tackle this interactive learning object after studying the mathematics of buying. This activity ties together the ideas of net cost, list price, trade discounts, cash discounts, net cost equivalent, and single discount equivalent, as well as the concepts of part, base, and rate.
Finding the Coordinates of the Point Where an Arc Blends Into a Line
Students use trigonometry to find the coordinates of the blending point where a line and an arc meet. Learners are given the coordinates of the center of the arc, the radius of the arc, and the direction of the line.
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 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.
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.