Division Expressions with Fractions and Whole Numbers

6.NOS.1 · Unit 6 · Lesson 1

Name   Period

Objectives / Objetivos

Content Objective: I can divide a whole number by a unit fraction and a unit fraction by a whole number by writing the whole number over 1 and using Keep, Change, Flip.

Language Objective: I can explain each step of Keep, Change, Flip using the words reciprocal, divisor, and quotient.

Key Idea / Idea clave

Dividing Whole Numbers & Unit Fractions. 1. Put a 1 under the whole number: 3 ÷ 1/4 = 3/1 ÷ 1/4. 2. Keep, Change, Flip: 3/1 ÷ 1/4 = 3/1 × 4/1. 3. Multiply across: 3/1 × 4/1 = 12/1 = 12

I Notice / Observo

  • What total length is being divided?
  • What is the size of each section?

I Wonder / Me pregunto

  • What does it mean to divide by a fraction?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Division of Fractions
División de fracciones		Finding how many groups of one fraction fit inside another amount.
Hallar cuántos grupos de una fracción caben dentro de otra cantidad.
Reciprocal
Recíproco		A fraction turned upside down.
Una fracción volteada de arriba abajo.
Quotient
Cociente		The answer when you divide.
La respuesta cuando divides.
Dividend
Dividendo		The total number being divided into equal groups (the number inside the division bracket).
El número total que se divide en partes iguales (el número dentro de la casilla de división).
Divisor
Divisor		The number of equal groups you are dividing into (the number outside the division bracket).
El número de partes iguales en las que divides (el número fuera de la casilla de división).
Unit fraction
Fracción unitaria		A fraction with 1 on top, like 1/4.
Una fracción con 1 arriba, como 1/4.

Practice Preview / Vista previa de práctica

  1. What does 3 ÷ 1/4 mean?
    1. How many 1/4-size pieces fit into 3
    2. 3 groups of 1/4
    3. 3 minus 1/4
    4. 1/4 of 3
  2. Match each division expression to its quotient.
  3. Use the bar model to count how many 1/6-size pieces fit into 3 wholes. All 3 wholes are shown, each split into sixths.
  4. Find the Interpretation Error
    1. Step 1: Problem — Interpret 4 ÷ 1/5
    2. Step 2: Student says — 4 ÷ 1/5 means 1/5 of 4
    3. Step 3: Student's answer — 4/5

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

Reflection / Reflexión

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