Family Math Studio Grade 6 Math · Neft Teacher

Family Math Studio · Lesson guide Guía de la lección

Unit 4, Lesson 3: Estimate the Percent of a Number

Standard 6.AT.4

What students are learning Qué aprenden

Key idea: For a quick estimate, use friendly numbers: 19% of 412 is about 20% of 400, or 80.Idea clave: Para estimar rápidamente, usa números fáciles: 19% de 412 es aproximadamente 20% de 400, o 80.

Words to know Palabras clave

estimate estimación
An answer that is close, found without exact work.
Una respuesta cercana, sin hacer el cálculo exacto.
benchmark percent porcentaje de referencia
An easy percent you can find in your head.
Un porcentaje fácil que puedes hallar mentalmente.
compatible numbers números compatibles
Numbers near the real ones that are easy to work with.
Números cercanos a los reales con los que es fácil calcular.
double number line recta numérica doble
Two number lines side by side. Marks that line up go together.
Dos rectas numéricas juntas. Las marcas que coinciden van juntas.
the whole el total
The full amount. It counts as 100%.
La cantidad completa. Cuenta como 100%.
Decompose Descomponer
Break a number or shape into smaller parts.
Separar un número o una figura en partes más pequeñas.

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. The whole is 6 GB — that is 100%.
  2. I mark the bottom line in benchmark jumps of 25%: 0%, 25%, 50%, 75%, 100%.
  3. Equivalent ratios give the top line: 25% of 6 GB is 1.5 GB, so the top reads 0, 1.5, 3, 4.5, 6.
  4. 4 GB used lands between 4.5 (75%) and 3 (50%), close to 4.5 — so about 70% of the storage is used.

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!

A family drove 298 miles on a trip, and 21% of the miles were on country roads. Estimate the miles on country roads using benchmarks or compatible numbers.

  1. About 6
  2. About 60
  3. About 30
  4. About 150
Check the answer

The answer is: About 60

Take-home sheet Hoja para llevar a casa

Lesson 4.3: Print the sheet (PDF) · Answers and talk notes (PDF) · Edit it (Word)

Lección 4.3: Imprimir la hoja (PDF) · Respuestas y notas para conversar (PDF) · Editarla (Word)

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

Watch out for this: Keeping the same whole for every question — when the problem says 'of the used storage,' the whole changes from 6 GB to 4 GB, and estimates anchored to the old whole are wrong before any arithmetic happens.

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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