Family Math Studio Grade 6 Math · Neft Teacher

Family Math Studio · Lesson guide Guía de la lección

Unit 6, Lesson 2: Division Expressions with Fractions and Mixed Numbers

Standard 6.NOS.1

What students are learning Qué aprenden

Key idea: Dividing fractions asks how many of one piece fit in another. 3/4 ÷ 1/8: write 3/4 as 6/8, and 6 eighths hold 6 pieces of 1/8. So the answer is 6. Check: 6 × 1/8 = 6/8 = 3/4.Idea clave: Dividir fracciones pregunta cuántas piezas de un tamaño caben en otra cantidad. 3/4 ÷ 1/8: escribe 3/4 como 6/8, y 6 octavos tienen 6 piezas de 1/8. Así que la respuesta es 6. Comprueba: 6 × 1/8 = 6/8 = 3/4.

Words to know Palabras clave

Divide Fractions Dividir fracciones
Keep the first, flip the second, then multiply.
Deja la primera, voltea la segunda y luego multiplica.
Dividend Dividendo
The number you split up.
El número que se reparte en grupos.
Divisor Divisor
The number you divide by.
El número entre el que divides.
Reciprocal Recíproco
A fraction turned upside down.
Una fracción volteada de arriba abajo.
Quotient Cociente
The answer when you divide.
La respuesta de dividir.
Simplify Simplificar
Write it in a smaller form with the same value.
Escribirlo de forma más corta con el mismo valor.
Mixed number Número mixto
A whole number and a fraction together, like 2 1/2.
Un número entero y una fracción juntos, como 2 1/2.
Improper fraction Fracción impropia
A fraction that is 1 or more, like 5/2.
Una fracción que es 1 o más, como 5/2.

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 Rivera has 3/4 pound and each portion is 1/8 pound. I want 3/4 ÷ 1/8.
  2. It asks how many 1/8-pound portions fit in 3/4 pound. I rename 3/4 in eighths: 3/4 = 6/8.
  3. 6 eighths ÷ 1 eighth = 6, the same way 6 apples ÷ 1 apple = 6. That is the common-denominator method.
  4. The reciprocal shortcut gives the same answer: 3/4 × 8/1 = 24/4 = 6, because each pound holds 8 eighths. Check: 6 × 1/8 = 6/8 = 3/4. She can make 6 portions.
  5. One more move to know: mixed number → improper fraction: multiply the bottom by the whole number, add the top, keep the same bottom. 3 1/2 → (2 × 3) + 1 = 7 → 7/2.

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 fraction division to its quotient.

4/5 ÷ 2/5

Check the answer

The answer is: 2

Take-home sheet Hoja para llevar a casa

Lesson 6.2: Print the sheet (PDF) · Answers and talk notes (PDF) · Edit it (Word)

Lección 6.2: 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 Fractions is flipping the wrong fraction: students flip the dividend (the first fraction) instead of the divisor (the second fraction). For example, solving 3/4 ÷ 5/8 by flipping 3/4 to 4/3 and keeping 5/8 gives 4/3 × 5/8 = 20/24 = 5/6 — but only the divisor gets flipped. Keep 3/4, change ÷ to ×, and flip only the divisor 5/8 to its reciprocal 8/5: 3/4 × 8/5 = 24/20 = 6/5. Before you submit, check that the fraction you kept (the dividend) is still facing the same way it started.

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.

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