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