Solve Problems with Unit Rates
Name Period
Objectives / Objetivos
Content Objective: I can solve real-world problems by using unit rates to compare options.
Language Objective: I can explain my comparison using the words unit rate, better buy, per unit, and rate.
Key Idea / Idea clave
Solving Problems with Unit Rates. Formula: Unit Price = Cost ÷ Quantity | Total Cost = Unit Price × Quantity. 1. Find the unit rate by dividing total cost by quantity. 2. Compare unit rates to determine the best deal. 3. Multiply unit rate by desired quantity to calculate total cost
I Notice / Observo
- How can you compare deals when the quantities are different?
- What operation helps you find the cost for just one item?
I Wonder / Me pregunto
- Does the biggest package always give the best unit rate?
Vocabulary / Vocabulario
| Term / Término | Definition / Definición |
|---|---|
| Unit Rate Problem Solving Resolución de problemas con tasas unitarias | Find an amount per 1 unit and use it to compare choices or solve a problem. Hallar una cantidad por 1 unidad y usarla para comparar opciones o resolver un problema. |
| 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. |
| Better Buy Mejor compra | The choice that costs less for each item. La opción que cuesta menos por cada artículo. |
| Comparison Comparación | Looking at two or more amounts to see how they are related. Mirar dos o más cantidades para ver cómo se relacionan. |
| Per Unit Por unidad | For each single item. Por cada artículo. |
| 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. |
Practice Preview / Vista previa de práctica
Read each task. Show your work in the spaces provided and explain how you know.
1. Which is the better buy: 6 bouncy balls for $4.50 or 10 bouncy balls for $8.00?
- A 10 for $8.00 — $0.80 each
- B They cost the same per ball
- C Not enough information
- D 6 for $4.50 — $0.75 each
Answer:
2. Find the unit rate for each deal and identify the better buy.
Complete each empty cell. Show your reasoning below.
| Option | Deal | Unit Rate |
|---|---|---|
| Store A Batteries | 8 for $6.00 | |
| Store B Batteries | 12 for $8.40 | |
| Store A Candy | 15 for $6.75 | |
| Store B Candy | 20 for $8.00 |
3. A machine dispenses 24 tokens in 3 minutes. At this rate, how many tokens does it dispense in 10 minutes?
- A 60 tokens
- B 72 tokens
- C 80 tokens
- D 240 tokens
Answer:
4. Find the Unit Rate Error
Which step has the mistake, and what should it be?
Reflection / Reflexión
One thing I learned today / Una cosa que aprendí hoy: