Family Math Studio Grade 6 Math · Neft Teacher

Family Math Studio · Lesson guide Guía de la lección

Unit 4, Lesson 1: Understand Percent

Standard 6.AT.4

What students are learning Qué aprenden

Key idea: A percent tells how many out of 100. For example, 4 out of 10 is 40 out of 100, or 40%.Idea clave: Un porcentaje indica cuántos hay de cada 100. Por ejemplo, 4 de cada 10 son 40 de cada 100, o 40%.

Words to know Palabras clave

Understand Percent Comprender el porcentaje
A percent tells how many out of 100.
Un porcentaje dice cuántos de cada 100.
Percent Porcentaje
A number out of 100, shown with the % sign.
Un número de cada 100, con el signo %.
Per hundred Por cada cien
For every group of 100. That is what percent means.
Por cada grupo de 100. Eso significa porcentaje.
Decimal grid Cuadrícula decimal
A grid of 100 squares. Each square is one percent.
Una cuadrícula de 100 cuadros. Cada cuadro es el uno por ciento.
Part-to-whole Parte a total
Compares one piece with the whole group.
Compara una parte con todo el grupo.
Greater than 100% Mayor que 100%
More than the whole thing. It is over 100%.
Más que el total. Es más de 100%.
Equivalent ratio Razón equivalente
Ratios that compare in the same way.
Razones que comparan de la misma manera.
Tape diagram Diagrama de cinta
A bar cut into equal parts to show amounts.
Una barra dividida en partes iguales para mostrar cantidades.

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. Students voted on a mascot, and 4 out of every 10 voters chose the tiger. I want to know how many that is out of 100.
  2. "4 out of every 10" is a ratio, so I write an equivalent ratio with 100 as the second term. Multiplying both terms by 10 gives 40 out of 100.
  3. On a decimal grid of 100 squares, I shade 40 squares — one square for each percent.
  4. 40 out of 100 is written 40%. So 40% of the students voted for the tiger.

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!

Seven out of every ten socks in the laundry basket are white. What percent of the socks are white, and how do you know?

  1. 7%, because 7 socks are white
  2. 70%, because 7 out of 10 equals 70 out of 100
  3. 10%, because the ratio is out of 10
  4. 17%, because 7 + 10 = 17
Check the answer

The answer is: 70%, because 7 out of 10 equals 70 out of 100

Take-home sheet Hoja para llevar a casa

Lesson 4.1: Print the sheet (PDF) · Answers and talk notes (PDF) · Edit it (Word)

Lección 4.1: 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 with percent is scaling only one term of the ratio: reading 7 out of 10 as 7%. A percent compares to 100, so BOTH terms must be multiplied by the same factor — 10 × 10 = 100, so 7 × 10 = 70, giving 70%. Reading it as 7% describes seats that are nearly empty when they are nearly full. A second mistake is treating a percent as an amount: 150% of a 200-point goal is 1.5 × 200 = 300 points, not 150 points.

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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