| Home | Site TOC | Site Search | Publications |

by Rita Livingston, Ph.D.
© TSBVI 1997 - 153 pages Order # 59420CAP (16 oz.)
Note: This curriculum is sold unbound and printed on 3-hole punched 8 1/2 x 11 paper ready for a ring binder.

Order Form/Pricelist - Windows RTF - 190k
Order Form/Pricelist - PDF - 239k

Go to Table of Contents of this book

This guide gives step by step instructions using two methods for basic math operations.

• TSBVI Method - Adding, subtracting, multiplying, dividing, decimals, percent, fractions, ratios
• Counting Method - Adding, subtracting, multiplying, dividing, similar to finger math ("Chismbop")
• Includes the Elementary Math Skills Continuum

Go to top

Contents of Use of the Cranmer Abacus

by Rita Livingston, Ph.D.

The Parts of an Abacus

The TSBVI Method

• Addition of Whole Numbers
  • Skills Needed
  • Definition of Terms
  • Teacher Tip
  • Sample Addition Problems
    • 1-digit addends less than 5
    • 1-digit addends less than 10
    • 2-digit addends, multiples of 10
    • 3-digit addends, multiples of 100
    • a 2-digit and a 1-digit addend
    • 2-digit addends
    • 3-digit addends less than 500
    • 1-digit addends
    • 2-digit addends
    • 1-digit addends
    • 2-digit addends
    • 2-digit addends, multiples of 10
    • 2-digit addends
    • 2-digit addends
    • 1-digit addends
    • 2-digit addends
    • 2-digit addends with 3-digit sum
    • Three or more addends
    • Addends greater than 100
  • Teacher Tip
• Subtraction of Whole Numbers
  • Skills Needed
  • Definition of Terms
  • Teacher Tip
  • Sample Subtraction Problems
    • 1-digit numbers less than 5
    • 1-digit numbers less than 10
    • 2-digit numbers, multiples of 10
    • 3-digit numbers, multiples of 100
    • 1-digit subtrahend from a 2-digit minuend
    • 2-digit subtrahend from 2-digit minuend
    • 3-digit subtrahend from a 3-digit minuend
    • 1-digit numbers
    • 2-digit subtrahend from a 2-digit minuend
    • 2-digit subtrahend from a 2-digit minuend, multiples of 10
    • 2-digit subtrahend from 2-digit minuend
    • 1-digit subtrahend from 2-digit minuend
    • 2-digit subtrahend from 2-digit minuend
    • 2-digit subtrahend from 3-digit minuend
    • 2-digit subtrahend from 3-digit minuend
    • 2-digit subtrahend from 2-digit minuend
    • 1-digit subtrahend from 2-digit minuend
    • 2-digit subtrahend from 2-digit minuend
    • 2-digit subtrahend from 3-digit minuend
    • Subtrahend and minuend > 100
• Multiplication
  • Skills Needed
  • Definition of Terms
  • Method
  • Teacher Tip
  • Sample Multiplication Problems
    • 1-digit multiplicand by a 1-digit multiplier
    • 2-digit multiplicand by a 1-digit multiplier
    • 3-digit multiplicand by a 1-digit multiplier
    • 2-digit multiplicand by a 2-digit multiplier
    • 2-digit multiplicand by a 3-digit multiplier
    • 3-digit multiplicand by a 3-digit multiplier
  • Teacher Tip
• Division
  • Skills Needed
  • Definition of Terms
  • Method
  • Teacher Tip
  • Sample Division Problems
    • 1-digit dividend by a 1-digit divisor
    • 2- or more digit dividend by a 1-digit divisor
    • 2-digit or more divisor
  • Alternate Method of Division
    • 1-digit dividend by a 1-digit divisor
    • 2- or more digit dividend by a 1-digit divisor
    • 2- or more digit divisor
• Decimals and Money
  • Definition of Term
  • Adding and Subtracting
  • Teacher Tip
  • Setting Decimals
  • Sample Addition Problem
  • Sample Subtraction Problem
  • Multiplication
    • Sample Multiplication Problem
  • Division
    • Decimal number by a whole number
    • Dividend with a decimal fraction by a divisor with a decimal fraction and rounding to the nearest 100s
  • Teacher Tip
• Fractions
  • Definition of Terms
  • Teacher Tip
  • Addition and Subtraction
  • Sample Fraction Problems
    • Adding fractions with a common denominator
    • Adding fractions with unlike denominators
    • Adding mixed numbers
    • Mixed numbers, three or more addends, unlike denominators
  • Sample Subtraction Problems
    • Simple fractions with common denominator
    • Mixed numbers - the fraction in minuend less than the fraction in the subtrahend
    • Fractions, unlike denominators
  • Multiplication and Division of Fractions
  • Sample Multiplication Problems
    • Multiplication of simple fractions
    • Multiplication of simple fractions factoring
    • Changing mixed numbers to improper fractions.
    • Multiplication of mixed numbers
  • Division How-Tos
    • Division of fractions
    • fraction by a whole number
    • Division of mixed numbers
• Ratios, Percent, and Square Roots
  • Definition of Terms
  • Ratios
  • Percent
  • Square Roots
  • Examples of Square Roots
  • Teacher Tip

Go to top

Counting Method on the Abacus

• Definition of Terms
  • Teacher Tip
• Exchanges for Addition and Multiplication
  • 4/5 Exchange
  • 9/10 Exchange
  • 49/50 Exchange
  • 99/100 Exchange
  • Teacher Tip
• Addition
  • Prerequisites
  • Definition of Terms
  • Sample Addition Problems
    • 1-digit addends
    • 2-digit addends, multiples of 10
    • 3-digit addends, multiples of 100
    • 1-digit addends
    • 1-digit addends
    • 2-digit and a 1-digit addend
    • 2-digit and a 1-digit addend
    • 3-digit numbers less than 500
    • 2-digit addends
    • 2-digit addends resulting in a 3-digit sum
    • Addends greater than 100
    • 3 or more addends
• Multiplication
  • Prerequisites
  • Definition of Terms
  • Sample Multiplication Problems
    • 1-digit multiplicand by a 1-digit multiplier
    • 2-digit multiplicand by a 2-digit multiplier
    • 3-digit multiplicand by a 1-digit multiplier
    • 3-digit multiplicand by a 2-digit multiplier
    • 3-digit multiplicand by a 3-digit multiplier
• Exchanges for Subtraction and Division
  • 4/5 Exchange
  • 9/10 Exchange
  • 49/50 Exchange
  • 99/100 Exchange
• Subtraction
  • Definition of Terms
  • Sample Subtraction Problems
    • 1-digit numbers less than 10
    • 1-digit numbers less than 10
    • 2-digit subtrahend from 2-digit minuend
    • 1-digit subtrahend from a 2-digit minuend
    • 1-digit subtrahend from a 2-digit minuend
    • 1-digit subtrahend from a 3-digit minuend
    • 2-digit subtrahend from a 2-digit minuend resulting in a 2-digit difference
    • Subtraction with subtrahend and minuend greater than 100
• Division
  • Prerequisites
  • Definition of Terms
  • Sample Division Problems
    • 1-digit dividend by a 1-digit divisor
    • 2-digit dividend by a 1-digit divisor
    • 2- or more digit dividend by a 1-digit divisor
    • 2-digit or more divisor
    • Quotients with Remainders

Go to top

Appendix

• Bibliography
• Math Skills Continuum

Agency Contact Information | Texas State Homepage | Texas State Wide Search

Please complete the comment form or send comments and suggestions to: Jim Allan (Webmaster-Jim Allan)

Last Revision: May 27, 2008