Understand Percent

6.AT.4 · Unit 4 · Lesson 1

Name   Period

Objectives / Objetivos

Content Objective: I can explain a percent as a rate per 100, model it on a decimal grid or tape diagram, and interpret percents greater than 100%.

Language Objective: I can explain what a percent means using the words per hundred, part, whole, and equivalent ratio.

Key Idea / Idea clave

Understanding Percent. Formula: Percent = Parts per 100 = Ratio of a number to 100. 1. Percent means 'per hundred' (% = /100). 2. On a 100-grid, each square represents 1% = 0.01 = 1/100. 3. Fraction to Percent: Scale fraction to a denominator of 100

I Notice / Observo

  • I notice the whole goal is marked as ___%.
  • I notice one bar goes past the whole, so its percent is greater than ___.

I Wonder / Me pregunto

  • I wonder how a ratio like 4 out of 10 becomes a percent out of ___.

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Understand Percent
Comprender el porcentaje		A percent is a ratio that compares a number to 100, so every percent answers the question “how many out of 100?”
Un porcentaje es una razón que compara un número con 100, así que todo porcentaje responde “¿cuántos de cada 100?”
Percent
Porcentaje		A ratio that compares a number to 100. The word means “per hundred,” and the symbol is %.
Una razón que compara un número con 100. La palabra significa “por cada cien” y su símbolo es %.
Per hundred
Por cada cien		The meaning hidden inside the word percent: for every group of 100. It is why every percent can be written as a fraction over 100.
El significado dentro de la palabra porcentaje: por cada grupo de 100. Por eso todo porcentaje se puede escribir como fracción sobre 100.
Decimal grid
Cuadrícula decimal		A 10-by-10 grid of 100 squares. Shading squares shows a percent directly, one square per percent.
Una cuadrícula de 10 por 10 con 100 cuadros. Sombrear cuadros muestra un porcentaje directamente, un cuadro por cada uno por ciento.
Part-to-whole
Parte a todo		A comparison of one part against the whole amount. In a percent, the whole is always 100%.
Una comparación de una parte con el total. En un porcentaje, el total siempre es 100 %.
Greater than 100%
Mayor que 100 %		More than one whole. A percent above 100 means the amount is larger than the thing it is being compared to.
Más de un entero. Un porcentaje mayor que 100 significa que la cantidad es mayor que aquello con lo que se compara.

Practice Preview / Vista previa de práctica

  1. What does the word percent mean?
    1. Per hundred
    2. Per ten
    3. Per thousand
    4. Per part
  2. Match each comparison to its percent.
  3. The orange kitten weighs 1.5 times as much as the gray kitten. What percent of the gray kitten's weight is that?
    1. 150%
    2. 15%
    3. 50%
    4. 1.5%
  4. Find the error
    1. Step 1: Setup — Which is larger: 40% of 200, or 150% of 40?
    2. Step 2: Step 1 — 150% is greater than 40%.
    3. Step 3: Step 2 — So 150% of 40 must be the larger amount.
    4. Step 4: Step 3 — 150% of 40 is larger.

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

Reflection / Reflexión

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