A UNIT OF STUDY FOR MODERN MATH WAS DESIGNED TO ALLOW FOR A SMOOTHER TRANSITION FROM OLD TEXTBOOKS INTO THE NEW SILVER BURDETT SERIES, "MODERN ARITHMETIC THROUGH DISCOVERY." EACH CONCEPT PRESENTED IS BASED UPON FAMILIAR CONCEPTS, DEVELOPED GRADUALLY, AND DIRECTED TOWARD PARTICULAR FUNDAMENTAL PRINCIPLES. THE FIRST CONCEPT DEVELOPED IS THAT OF SET THEORY AND ONE-TO-ONE PAIRING. A TIME ALLOTMENT MAXIMUM OF 1 WEEK IS GIVEN. THE SECOND CONCEPT DEVELOPED IS THAT OF NUMBER. INCLUDED IS--NUMBER-NUMERAL DISTINCTION, ORDER RELATIONS, PLACE-VALUES (DECIMAL SYSTEM) EXPANDED NOTATION, RENAMING NUMBERS, NUMBER SENTENCES, GROUPING BY SIXES, READING AND WRITING BASE OF SIX NUMERALS, AND COUNTING IN BASE SIX. THE THIRD IS CONCEPTS IN OPERATIONS AND INCLUDES--ADDITION, SUBTRACTION, COMMUNTATIVE PRINCIPLES, AND ASSOCIATIVE PRINCIPLES FOR ADDITION AND MULTIPLICATION AND DIVISION. FRACTIONS AND DECIMALS REPRESENT THE FOURTH DIVISION WITH CONCEPTS OF RISING EQUIVALENT FRACTIONS AND THE DECIMAL CONCEPT OF HUNDREDTHS. (THE FIFTH AND FINAL UNIT DISCUSSES CONCEPTS OF GEOMETRY, POINT, LINE SEGMENT, LINES, PLANE, RAY AND ANGLE.) A GLOSSARY OF MODERN MATHEMATIC TERMS IS APPENDED.