Family Math Studio Grade 6 Math · Neft Teacher

Family Math Studio · Lesson guide Guía de la lección

Unit 4, Lesson 2: Relate Fractions, Decimals, and Percentages

Standard 6.AT.4

What students are learning Qué aprenden

Key idea: One amount can be written as a fraction, decimal, or percent. One quarter is 1/4, 0.25, and 25%.Idea clave: Una misma cantidad se puede escribir como fracción, decimal o porcentaje. Un cuarto es 1/4, 0.25 y 25%.

Words to know Palabras clave

Fractions, Decimals, and Percents Fracciones, decimales y porcentajes
Three ways to write the same part of a whole.
Tres maneras de escribir la misma parte de un todo.
Percent Porcentaje
A number out of 100, shown with the % sign.
Un número de cada 100, con el signo %.
Decimal Decimal
A number with a dot, like 0.5, that shows a part.
Un número con un punto, como 0.5, que muestra una parte.
Equivalent Equivalente
The same value shown in a new way.
El mismo valor escrito de otra manera.
Benchmark Punto de referencia
An easy number you use to estimate, like 50%.
Un número fácil que usas para estimar, como 50%.
Discount Descuento
Money taken off a price.
Dinero que se quita al precio.
Hundredths Centésimas
The second digit after the dot. It counts parts of 100.
El segundo dígito después del punto. Cuenta partes de 100.
Common form Forma común
The same form for every value, like all percents.
La misma forma para todos los valores, como porcentajes.

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. A player scored 3/4 of the points. Percent means out of 100, so I want an equivalent fraction with 100 on the bottom.
  2. What do I multiply the denominator 4 by to get 100? 4 × 25 = 100, so my scale factor is 25.
  3. I have to multiply the top by that same 25: 3 × 25 = 75. So 3/4 = 75/100.
  4. 75 out of 100 is 75%. And 75/100 as a decimal is 0.75, because hundredths sit two places after the point.
  5. So 3/4 = 75/100 = 0.75 = 75%. All three name the same score.

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 garden is 0.35 planted with tomatoes. Which shows 0.35 as a fraction and a percent?

  1. 3/5 and 35%
  2. 35/10 and 3.5%
  3. 7/20 and 35%
  4. 7/20 and 3.5%
Check the answer

The answer is: 7/20 and 35%

Take-home sheet Hoja para llevar a casa

Lesson 4.2: Print the sheet (PDF) · Answers and talk notes (PDF) · Edit it (Word)

Lección 4.2: 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 Relate Fractions, Decimals, and Percents is treating the numerator and denominator as the percent's digits — turning 3/5 into "35%" by just reading the 3 and the 5. Percent means out of 100, so the fix is to build an equivalent fraction with denominator 100: 5 × 20 = 100, so multiply the top by 20 too — 3/5 = 60/100 = 60%. A second version of this mistake is scaling only ONE part of the fraction (writing 3/5 = 3/100 or 60/5). Whatever you multiply the denominator by, you must multiply the numerator by the same number. When a denominator will not reach 100 evenly (8, 3, 7), divide the numerator by the denominator instead and then multiply by 100.

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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