Understand Rates and Unit Rates

6.AT.2 · Unit 3 · Lesson 2

Name   Period

Objectives / Objetivos

Content Objective: I can find a unit rate to compare prices and decide the better buy.

Language Objective: I can explain my choice using the words rate, unit rate, per, and better buy.

Key Idea / Idea clave

Rates & Unit Rates. Formula: Unit Rate = (Total Quantity) ÷ (Number of Units). 1. Rate: A ratio comparing two quantities with different units (e.g. $12 for 3 lbs). 2. Unit Rate: A rate simplified to a denominator of 1 unit ($4 per 1 lb). 3. Divide numerator by denominator to compute the per-one amount

I Notice / Observo

  • What two quantities are being compared at each booth?
  • Which booth seems like a better deal at first glance?

I Wonder / Me pregunto

  • How can you compare prices when the number of games is different?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Rates and Unit Rates
Tasas y tasas unitarias		A rate compares different units; a unit rate compares a quantity to 1 unit.
Una tasa compara unidades diferentes; una tasa unitaria compara una cantidad con 1 unidad.
Rate
Tasa		A ratio comparing two amounts with different units, like miles per hour.
Una razón que compara dos cantidades con unidades distintas, como millas por hora.
Unit Rate
Tasa unitaria		A rate for just 1 of something, like cost for 1 item.
Una tasa para solo 1 de algo, como el precio de 1 artículo.
Per
Por		For each one. Example: 5 dollars per book.
Por cada uno. Ejemplo: 5 dólares por libro.
Ratio
Razón		A way to compare two amounts, like 3 to 2.
Una manera de comparar dos cantidades, como 3 a 2.
Unit price
Precio unitario		A unit rate that gives the cost of exactly 1 item, like $0.60 per game.
Una tasa unitaria que da el costo de exactamente 1 artículo, como $0.60 por juego.

Practice Preview / Vista previa de práctica

  1. A booth charges $4.50 for 9 games. What is the unit rate?
    1. $0.50 per game
    2. $0.45 per game
    3. $2.00 per game
    4. $4.50 per game
  2. Complete the table to find unit rates and determine the best deal.
  3. Token packs: Pack A is 20 tokens for $5.00, Pack B is 35 tokens for $7.00, and Pack C is 50 tokens for $12.50. Which pack is the best deal per token?
    1. Pack A
    2. Pack B
    3. Pack C
    4. They are all the same
  4. Find the Rate Error
    1. Step 1: Find the unit rate: 12 tickets for $8 — 12 tickets for $8
    2. Step 2: Set up the division — 12 ÷ 8 = 1.5
    3. Step 3: Write the unit rate — The unit rate is $1.50 per ticket

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

Reflection / Reflexión

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