Unit 4: Division

Key VocabularyEveryday Mathematics

4.1 Division Facts and Extensions

Objective: To review division facts and to extend division facts; and to mentally divide 2-digit numbers by 1-digit numbers

4.2 The Partial-Quotients Division Algorithm

Objective: To review and practice the partial-quotients division algorithm for dividing a whole number by a whole number

Dividend

• In a division problem, this is the number being divided

7 127

127 7 127 / 7

Dividend

Divisor

• In a division problem, this is the number that the dividend is being divided by

7 127

127 7 127 / 7

Divisor

Quotient

• In a division problem, the quotient is the solution or answer.

126 7 = 18 127 / 7 = 18

Quotient

Remainder

• In a division problem, any leftover amount that is not divided equally is the remainder

7 12718 R 1

Remainder

4.3 American Tour: Finding Distances on a Map

Objective: to estimate distances using a map scale

Map Legend / Map Key

• A map legend or map key explains the symbols, colors, or markings on the map.

• One of the first places to look when examining a map.

Direction Symbol

• Locates north, south, east, and west on a map.

• If there is no direction symbol, the top of the map is usually understood to be north.

Map Scale

• The map scale compares distances on a map with real distances.

• The scale can be a ruler-like diagram or words and symbols.– 1 inch represents 100 miles– 1 in. = 100 mi.

Map Legend Map Scale

4.4 Division of Decimal Numbers

Objective: to make a magnitude estimate for quotients; to use the partial-quotients division algorithm to divide decimals by whole numbers

Magnitude Estimate

• A rough estimate of the size of the number

• Use friendly numbers to make a quick guess

• Is the answer in the ones? tens? hundreds? thousands?

4.5 Interpreting the Remainder

Objective: to solve division number stories and interpret remainders within the context of stories.

Variable

• A letter used to represent a number

12 x = 4 x = 3

Variable

4.6 Skills Review with First to 100

Objective: to investigate using a variable to represent a range of values; and to review a variety of mathematical skills