# 5th Grade Module 4 Terminology

• Terminology

New or Recently Introduced Terms

§  Decimal divisor (the number that divides the whole and that has units of tenths, hundredths, thousandths, etc.)

§   Simplify (using the largest fractional unit possible to express an equivalent fraction)

Familiar Terms and Symbols

§   Denominator (denotes the fractional unit, e.g., fifths in 3 fifths, which is abbreviated to the 5 in 3/5.

§   Decimal fraction

§   Conversion factor

§   Commutative Property (e.g., 4 × 1/2 = 1/2× 4)

§   Distribute (with reference to the distributive property, e.g., in 1 2/5 × 15 = (1 × 15) + (2/5 × 15)

§   Divide, division (partitioning a total into equal groups to show how many units in a whole, e.g.,
5 ÷ 1/5 = 25)

§   Equation (statement that two expressions are equal, e.g., 3 × 4 = 6 × 2)

§   Equivalent fraction

§   Expression

§   Factors (numbers that are multiplied to obtain a product)

§   Feet, mile, yard, inch, gallon, quart, pint, cup, pound, ounce, hour, minute, second

§   Fraction greater than or equal to 1 (e.g., 7/2, 3 1/2, an abbreviation for 3 + 1/2)

§   Fraction written in the largest possible unit (e.g.,  3/6 = 1x3/2x3 or 1 three out of 2 threes = 1/2)

§   Fractional unit (e.g., the fifth unit in 3 fifths denoted by the denominator 5 in 3/5)

§   Hundredth (1/100 or 0.01)

§   Line plot

§   Mixed number (3 1/2 an abbreviation for 3 + 1/2 )

§   Numerator (denotes the count of fractional units, e.g., 3 in 3 fifths or 3 in 3/5 )

§   Parentheses (symbols (  ) used around a fact or numbers within an equation)

§   Quotient (the answer when one number is divided by another)

§   Tape diagram (method for modeling problems)

§   Tenth (1/10 or 0.1)

§   Unit (one segment of a partitioned tape diagram)

§   Unknown (the missing factor or quantity in multiplication or division)

§   Whole unit (any unit that is partitioned into smaller, equally sized fractional units)

Suggested Tools and Representations

§   Area models

§   Number lines

§   Tape diagrams