Determine the Whole Given the Part and Percent

6.AT.4 · Unit 4 · Lesson 5

Name   Period

Objectives / Objetivos

Content Objective: I can determine the whole when I know a part and the percent that part represents.

Language Objective: I can explain how I found the whole using the words part, whole, percent, and equation.

Key Idea / Idea clave

Finding the Whole Given Part & Percent. Formula: Whole = Part ÷ Percent. 1. Identify the given part and the percentage it represents. 2. Convert the percent to a decimal or fraction. 3. Divide the part by the percent decimal to find the total whole (100%)

I Notice / Observo

  • I notice the amount I know is only a ___ of the whole.
  • I notice the whole would be marked ___%.

I Wonder / Me pregunto

  • I wonder how I get from ___% back up to 100%.

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Determine the Whole Given the Part and Percent
Hallar el total dados la parte y el porcentaje		Working backwards from a part and its percent to find the whole amount it came from.
Trabajar al revés a partir de una parte y su porcentaje para hallar el total del que proviene.
Part
Parte		The amount you already know — the piece of the whole that the percent describes.
La cantidad que ya conoces: el pedazo del total que describe el porcentaje.
Whole
Total		The full amount the percent is measured against. The whole is always 100%.
La cantidad completa contra la que se mide el porcentaje. El total siempre es 100 %.
Double number line
Recta numérica doble		Two lines lined up — dollars on one, percents on the other — so matching marks show the same amount two ways.
Dos rectas alineadas —dólares en una y porcentajes en la otra— para que las marcas correspondientes muestren la misma cantidad de dos formas.
Equation
Ecuación		A math sentence with an equal sign. Here it says percent × whole = part, with the whole unknown.
Una oración matemática con signo de igual. Aquí dice porcentaje × total = parte, con el total desconocido.
Percent
Porcentaje		A ratio comparing a number to 100. To compute with it, write it in decimal form: 60% = 0.6.
Una razón que compara un número con 100. Para calcular con él, escríbelo en forma decimal: 60 % = 0.6.

Practice Preview / Vista previa de práctica

  1. $20 is 50% of what number?
    1. $40
    2. $10
    3. $25
    4. $70
  2. $42 is 60% of the original price. Complete the ratio table to reach 100%.
  3. A car is now worth $26,600, which is 70% of its purchase price. What was the purchase price?
    1. $38,000
    2. $18,620
    3. $26,670
    4. $45,200
  4. Find the error
    1. Step 1: Setup — A jacket is on sale for $60, which is 80% of the original price. Find the original price.
    2. Step 2: Step 1 — The discount is 20%.
    3. Step 3: Step 2 — 20% of 60 = 12.
    4. Step 4: Step 3 — The original price was 60 + 12 = $72.

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

Reflection / Reflexión

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