Find and Compare with Percentages

6.AT.4 · Unit 4 · Lesson 4

Name   Period

Objectives / Objetivos

Content Objective: I can find the percent of a number using an equation or a model.

Language Objective: I can explain my steps using the words percent, base, part, and equation.

Key Idea / Idea clave

Finding the Percent of a Number. Formula: Part = Percent × Whole. 1. Identify the percent and the whole (base amount). 2. Convert the percent to a decimal or simplified fraction. 3. Multiply the decimal/fraction by the whole to calculate the part

I Notice / Observo

  • What information do you need to find the discount amount?
  • How is finding 25% of 60 different from finding 40% of 80?

I Wonder / Me pregunto

  • Is there more than one way to find a percent of a number?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Percent of a Number
Porcentaje de un número		A part of a number found by multiplying the number by the percent written as a decimal.
Una parte de un número que se halla multiplicando el número por el porcentaje escrito como decimal.
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 %.
Base
Base		The whole amount you start with — the number right after the word “of.”
La cantidad total con la que empiezas: el número que va después de la palabra “de”.
Part
Parte		How much of the base (the whole) you get. It is your answer.
Cuánto obtienes de la base (el total). Es tu respuesta.
Equation
Ecuación		A number sentence with an equal sign. The percent one is: part = percent × base.
Una oración numérica con signo de igual. La de porcentaje es: parte = porcentaje × base.
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. What is 20% of 150?
    1. 30
    2. 20
    3. 35
    4. 75
  2. Complete each row to find the percent of a number.
  3. An arcade prize costs 240 tickets. If you have a coupon for 15% off, how many tickets do you save?
    1. 36 tickets
    2. 24 tickets
    3. 15 tickets
    4. 204 tickets
  4. Find the Percent Error
    1. Step 1: Find 30% of 90 — 30% of 90
    2. Step 2: Convert percent to decimal — 30% = 3.0
    3. Step 3: Multiply — 3.0 × 90 = 270
    4. Step 4: Final answer — 30% of 90 = 270

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

Reflection / Reflexión

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