Relate Fractions, Decimals, and Percents

6.AT.4 · Unit 4 · Lesson 2

Name   Period

Objectives / Objetivos

Content Objective: I can write equivalent fractions, decimals, and percents for the same value.

Language Objective: I can explain my conversions using the words percent, decimal, equivalent, and benchmark.

Key Idea / Idea clave

To turn a fraction into a percent, build an equivalent fraction with a denominator of 100: ask “what do I multiply the denominator by to get 100?” and multiply the numerator by that same number. The new numerator is the percent.

I Notice / Observo

  • What are three different ways to write the same number?
  • If a player scored 3/4 of the points, what percent is that?

I Wonder / Me pregunto

  • Are some fractions easier to convert than others?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Percent
Porcentaje		A way to compare a number to 100, shown with the % sign.
Una manera de comparar un número con 100, con el signo %.
Decimal
Decimal		A number with a dot, like 0.5, that shows a part less than one.
Un número con un punto, como 0.5, que muestra una parte menor que uno.
Equivalent
Equivalente		Having the same value, just written a different way.
Tener el mismo valor, escrito de otra forma.
Benchmark
Referencia		A familiar number you use to guess, like 50% or 1/2.
Un número conocido que usas para estimar, como 50% o 1/2.
Discount
Descuento		Money taken off the first price to make it cheaper.
Dinero que se quita del precio original para que sea más barato.

Practice Preview / Vista previa de práctica

  1. Sort these values — which are greater than 50% and which are less than 50%?
  2. Place each value on the number line: A = 3/8, B = 0.6, C = 85%
  3. A game shows your score as 7/8 complete. What percent is that?
    1. 87.5%
    2. 78%
    3. 75%
    4. 88%
  4. Find the Conversion Error
    1. Step 1: Convert 2/3 to a percent — 2/3
    2. Step 2: Divide numerator by denominator — 2 ÷ 3 = 0.67
    3. Step 3: Move decimal two places — 0.67 → 67%
    4. Step 4: Final answer — 2/3 = 67%

    Which step has the mistake? Explain it and write the correct work.

Reflection / Reflexión

One thing I learned today / Una cosa que aprendí hoy: