Understand Rates and Unit Rates
Name Period
Objectives / Objetivos
Content Objective: I can describe a rate using its two different units and use a model to find a travel time, and I can find a unit rate to compare prices and decide the better buy.
Language Objective: I can explain a rate like "150 miles per hour" using distance and time units, and 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 / Término | Definition / 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
Read each task. Show your work in the spaces provided and explain how you know.
1. A booth charges $4.50 for 9 games. What is the unit rate?
- A $0.45 per game
- B $0.50 per game
- C $2.00 per game
- D $4.50 per game
Answer:
2. Complete the table to find unit rates and determine the best deal.
Complete each empty cell. Show your reasoning below.
| Deal | Quantity | Cost | Unit Rate |
|---|---|---|---|
| Tokens Pack A | 20 tokens | $5.00 | |
| Tokens Pack B | 35 tokens | $7.00 | |
| Tokens Pack C | 50 tokens | $12.50 |
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?
- A Pack B
- B Pack A
- C Pack C
- D They are all the same
Answer:
4. Find the Rate Error
Which step has the mistake, and what should it be?
Reflection / Reflexión
One thing I learned today / Una cosa que aprendí hoy: