Divide Multi-Digit Numbers Using an Algorithm

6.NOS.2 · Unit 2 · Lesson 6

Name   Period

Objectives / Objetivos

Content Objective: I can divide multi-digit whole numbers and explain the meaning of the quotient and remainder.

Language Objective: I can explain my division using the words dividend, divisor, quotient, and remainder.

Key Idea / Idea clave

Algorithm: A step-by-step set of rules or instructions to solve a math problem. Long Division Algorithm: D (Divide), M (Multiply), S (Subtract), B (Bring Down). Formula: Divisor ) Dividend = Quotient R Remainder. 1. D - Divide: write quotient digit above the bar. 2. M - Multiply: digit × divisor. 3. S - Subtract: find the difference. 4. B - Bring down: next digit from dividend. 5. Repeat: continue until no digits remain (leftover = remainder). Example: 1,344 ÷ 12 = 112

I Notice / Observo

  • What total amount needs to be divided?
  • How many groups are the supplies being split into?

I Wonder / Me pregunto

  • Will each section get the same amount with none left over?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Algorithm
Algoritmo		A step-by-step set of rules or instructions to solve a math problem.
Un conjunto de pasos o instrucciones para resolver un problema de matemáticas.
Dividend
Dividendo		The total number being divided into equal groups (the number inside the division bracket).
El número total que se divide en grupos iguales (el número dentro de la galera de división).
Divisor
Divisor		The number of equal groups you are dividing into (the number outside the division bracket).
El número de grupos iguales en que divides (el número fuera de la galera de división).
Quotient
Cociente		The answer when you divide.
La respuesta cuando divides.
Remainder
Residuo		What is left over when a number does not divide evenly.
Lo que sobra cuando un número no se divide de forma exacta.
Divide Multi-Digit Numbers
Dividir números de varias cifras		Separate a multi-digit number into equal groups to find a quotient.
Separar un número de varias cifras en grupos iguales para hallar un cociente.

Practice Preview / Vista previa de práctica

  1. What is 936 ÷ 12?
    1. 78
    2. 87
    3. 68
    4. 76
  2. Complete each division problem.
  3. Match each division problem to its quotient.
  4. Find Sonia's Mistake
    1. Step 1: Problem — 1,536 ÷ 16
    2. Step 2: Divide — 16 does not fit into 1 or 15, so start with 153. 153 ÷ 16 → 9, written above the 3
    3. Step 3: Multiply — 9 × 16 = 144, written under the 153
    4. Step 4: Subtract — 153 − 144 = 19
    5. Step 5: Bring down — Bring down the 6 to make 196
    6. Step 6: Final answer — Quotient = 9 with 196 left over

    Which step has the mistake? Explain it and write the correct work.

Reflection / Reflexión

One thing I learned today / Una cosa que aprendí hoy: