Interpret Division of Fractions

6.NOS.1 · Unit 2 · Lesson 1

Name   Period

Objectives / Objetivos

Content Objective: I can use models to interpret what it means to divide by a fraction.

Language Objective: I can explain a fraction division using the words dividend, divisor, quotient, reciprocal, and unit fraction.

Key Idea / Idea clave

Dividing by a fraction smaller than 1 gives an answer BIGGER than what you started with, because many tiny pieces fit inside.

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
Dividend
Dividendo		The number you are splitting up in a division problem.
El número que estás repartiendo en una división.
Divisor
Divisor		The number you split by in a division problem.
El número entre el que divides en una división.
Quotient
Cociente		The answer when you divide.
La respuesta cuando divides.
Reciprocal
Recíproco		A fraction turned upside down.
Una fracción volteada de arriba abajo.
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: