Relate Fractions, Decimals, and Percentages

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

Fraction, Decimal & Percent Equivalence. 1. Percent to Decimal: Divide by 100 (move decimal point 2 places left). 2. Decimal to Percent: Multiply by 100 (move decimal point 2 places right). 3. Fraction to Percent: Divide numerator by denominator, then convert decimal to 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
Fractions, Decimals, and Percents
Fracciones, decimales y porcentajes
Three equivalent ways to name the same part of a whole.
Tres maneras equivalentes de nombrar la misma parte de un todo.
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

Read each task. Show your work in the spaces provided and explain how you know.

1. Sort these values — which are greater than 50% and which are less than 50%?

Write each item in its correct group.

Word bank: 7/10 3/4 0.8 40% 65% 1/3 2/5 0.25
Greater than 50%
Less than 50%

2. Place each value on the number line: A = 3/8, B = 0.6, C = 85%

Mark and label: A: 3/8; B; C: 85%

00.050.10.150.20.250.30.350.40.450.50.550.60.650.70.750.80.850.90.951

3. A game shows your score as 7/8 complete. What percent is that?

  1. A 75%
  2. B 78%
  3. C 87.5%
  4. D 88%

Answer:

4. Find the Conversion Error

Which step has the mistake, and what should it be?

Reflection / Reflexión

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