Family Math Studio Grade 6 Math · Neft Teacher

Family Math Studio · Lesson guide Guía de la lección

Unit 6, Lesson 9: Divide Whole Numbers by Fractions

Standard 6.NOS.1

What students are learning Qué aprenden

Key idea: Dividing a whole number by a fraction asks how many of those pieces fit. 4 ÷ 1/2 means: how many half-pound bags can 4 pounds fill? Each pound fills 2 bags, so 4 × 2 = 8 bags. Check: 8 halves make 4.Idea clave: Dividir un número entero entre una fracción pregunta cuántas de esas piezas caben. 4 ÷ 1/2 significa: ¿cuántas bolsas de media libra se llenan con 4 libras? Cada libra llena 2 bolsas, así que 4 × 2 = 8 bolsas. Comprueba: 8 medios forman 4.

Words to know Palabras clave

Divide Whole Numbers by Fractions Dividir números enteros entre fracciones
Find how many fraction pieces fit in the number.
Hallar cuántas partes de la fracción caben en el número.
Whole Number Número entero
A number with no fraction or decimal, like 0, 1, 2.
Un número sin fracción ni decimal, como 0, 1, 2.
Fraction Fracción
A number that shows part of a whole.
Un número que muestra una parte de un todo.
Reciprocal Recíproco
A fraction turned upside down.
Una fracción volteada de arriba abajo.
Keep, Change, Flip Mantener, cambiar, invertir
Keep the first, change ÷ to ×, flip the second.
Deja la primera, cambia ÷ por × y voltea la segunda.
Quotient Cociente
The answer when you divide.
La respuesta de dividir.

Sentence starters Frases para empezar

I know ___ because ___.

First, I ___. Then, I ___.

The answer is ___, so ___.

How we did it in class today Cómo lo hicimos hoy en clase

  1. Agent Park has 4 pounds of powder and each bag holds 1/2 pound. I want 4 ÷ 1/2.
  2. Each pound fills 2 half-pound bags, so 4 pounds fill 4 × 2 = 8 bags.
  3. That is the same as multiplying by the reciprocal of 1/2: 4 × 2/1 = 8. Dividing by 1/2 doubles the count, because every whole holds 2 halves.
  4. Check by multiplying: 8 bags × 1/2 pound = 4 pounds. So 4 ÷ 1/2 = 8. He can fill 8 bags.

Play with today's math Jueguen con las matemáticas

Interactive Lesson Model — This is the exact same interactive tool your student used in class today. Change the numbers and watch what happens!

Modelo interactivo de la lección — Esta es la misma herramienta interactiva que su estudiante usó en clase hoy. ¡Cambie los números y observe qué sucede!

Works on a phone, a tablet, or a computer. Nothing to install, nothing to sign in to.

Try this together Inténtenlo juntos

Pick one question to talk about. You don't need to do them all!

Match each division expression to its quotient.

4 ÷ 1/3

Check the answer

The answer is: 12

Take-home sheet Hoja para llevar a casa

Lesson 6.9: Print the sheet (PDF) · Answers and talk notes (PDF) · Edit it (Word)

Lección 6.9: Imprimir la hoja (PDF) · Respuestas y notas para conversar (PDF) · Editarla (Word)

If they get stuck... Si se traban...

Watch out for this: A common mistake in Divide Whole Numbers by Fractions is doing 'Keep, Change' but skipping the 'Flip' — students multiply by the divisor as it is instead of by its reciprocal. For example, for 6 ÷ 3/4, a student might write 6 × 3/4 = 4 1/2 and stop there, but the divisor 3/4 must be flipped to 4/3 first: 6 × 4/3 = 24/3 = 8. Before you submit, check: did I flip the second fraction (the divisor) upside down before multiplying?

Try asking: "Can you show me how you got that? Did we miss a step?"
Pregunte: «¿Puedes mostrarme cómo lo hiciste? ¿Nos saltamos algún paso?» Hablar de las matemáticas en voz alta ayuda mucho.

Step 1 of 5