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Dollar Words Challenges, Long Words, Cities, and Quotes

This was our second week of algebraic exploration with Dollar Words using an ascending value code. A=1, b=2, c=3, and so on until z=26. Again, I encouraged them to use the acronym EJOTY instead of reciting the alphabet each time. E=5, J=10, O=15, T=20, Y=25. From these five letters, they should add or subtract 1, 2, or 3 to find their letter. So S=19 because it is the letter that comes before T=20. 

Dollar Words Ascending Values = 100 Algebra with Addition and Multiplication

This week we introduced algebra to the children with an exercise I call Dollar Words. Algebra uses letters and symbols to represent numbers. The Dollar Word challenge ascribes values to each letter by its position in the alphabet in ascending order. A=1, B=2, C=3 … Z=26. If the sum of all of those values equals exactly 100, it is a Dollar Word. 

Reverse Add Rule for finding Palindromes

Given any number, you can use the following simple algorithm to find other palindromes.

 

Step 1:

Palindrome Week, Words, n-digit numbers, odometer readings

PALINDROME: In mathematics, a palindrome is a number that reads the same forward and backward. For example, 353, 787, 1331, 42724.

 

What Is The Largest Number Smaller Than Five?

When my sons were in 11th grade at Dover/Sherborn High School, their AP BC Calculus teacher, Mr. Bridger, used to start every year with a question: “What Is The Largest Number Smaller Than Five?”