Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum

Session 5, Part A:
Alpha Math (35 minutes)

 "Alpha math" problems, where each letter stands for one digit of a number, can help you identify some of the things you know about the behaviors of particular base ten digits under various operations. Your task is to decode each of the following problems, figuring out what digit each letter represents. Note 1 Problem A1 In the following sums, one letter always represents the same digit in each problem, and no digit is represented by more than one letter. Replace the letters with digits:

Consider the following:
 • What does the sum of a and a in the hundreds column tell you about the value of a? • Notice that the sum of b and c in the tens column is different from the sum of c and b in the ones column. What does this tell you about the value of b + c? • Notice that the sum of b and c in the tens column is b. What does this tell you about c?
Close Tip

 Problem A2 Each letter represents a different digit of a number: Decode the problem to determine the following value:

 Problem A3 In these problems, the asterisks represent missing digits (though they do not all represent the same digit, as do the letters in the previous problems). Identify the missing digits in the following multiplication problems:

 Problem A4 Each letter represents a different digit of a three-digit number. Decode the problem:

 Problem A5 Jen has found a special five-digit number that she calls abcde. If you enter the number 1 and then her number on a calculator and multiply it by 3, the result is the same number with a 1 on the other end: 1abcde • 3 = abcde1 What is her number?

 Session 5: Index | Notes | Solutions | Video