Understand Ratios

6.AT.1 · Unit 3 · Lesson 1

Name   Period

Objectives / Objetivos

Content Objective: I can write and describe a ratio that compares two quantities.

Language Objective: I can explain a comparison using the words ratio, part-to-part, part-to-whole, and colon notation.

Key Idea / Idea clave

A ratio compares two quantities, and the order you write them in matters.

I Notice / Observo

  • What two ingredients are being compared in the recipe?
  • How could you describe the relationship between apple juice and sparkling water?

I Wonder / Me pregunto

  • What if we compared the sparkling water to the apple juice instead — would the ratio change?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Ratio
Razón		A way to compare two amounts, like 3 to 2.
Una manera de comparar dos cantidades, como 3 a 2.
Comparison
Comparación		Looking at two or more amounts to see how they are related.
Mirar dos o más cantidades para ver cómo se relacionan.
Part-to-part
Parte a parte		A ratio comparing one part of a group to another part.
Una razón que compara una parte de un grupo con otra parte.
Part-to-whole
Parte a todo		A ratio comparing one part to the whole group.
Una razón que compara una parte con todo el grupo.
Colon notation
Notación con dos puntos		Writing a ratio with two dots between the numbers, like 3:2.
Escribir una razón con dos puntos entre los números, como 3:2.

Practice Preview / Vista previa de práctica

  1. A recipe uses 4 cups of milk and 1 cup of cream. What is the ratio of milk to cream?
    1. 4:1
    2. 1:4
    3. 4:5
    4. 5:1
  2. Sort each statement — is it a part-to-part ratio or a part-to-whole ratio?
  3. A fruit salad has 5 pieces of melon, 3 pieces of pineapple, and 2 grapes. What is the ratio of pineapple to melon?
    1. 3:5
    2. 5:3
    3. 3:10
    4. 3:2
  4. Find Aliya's Mistake
    1. Step 1: Read the problem — A trail mix has 6 almonds, 4 raisins, and 2 cashews. Write the ratio of raisins to total pieces.
    2. Step 2: Count total pieces — 6 + 4 + 2 = 12
    3. Step 3: Write the ratio — 4:8
    4. Step 4: Answer — The ratio of raisins to total is 4:8.

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

Reflection / Reflexión

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