Ratio and Rate Problem Solving

6.AT.3 · Unit 3 · Lesson 7

Name   Period

Objectives / Objetivos

Content Objective: I can solve real-world rate problems by finding and using unit rates.

Language Objective: I can explain my solution using the words rate, unit rate, per, and proportion.

Key Idea / Idea clave

Find the unit rate by dividing, then multiply it to find the amount you need.

I Notice / Observo

  • What two quantities with different units are being compared?
  • How could you find the cost of just 1 pound of chicken?

I Wonder / Me pregunto

  • Which strategy is fastest — unit rates, ratio tables, or proportions?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
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.
Problem solving
Resolución de problemas		Using ratios and rates to find a missing amount.
Usar razones y tasas para encontrar una cantidad que falta.
Proportion
Proporción		A math sentence saying two ratios are equal. It helps find a missing number.
Una oración matemática que dice que dos razones son iguales. Ayuda a hallar un número que falta.

Practice Preview / Vista previa de práctica

  1. A bakery makes 24 cookies in 3 batches. What is the unit rate of cookies per batch?
    1. 8 cookies per batch
    2. 3 cookies per batch
    3. 24 cookies per batch
    4. 6 cookies per batch
  2. Team 2 frosts 5 cupcakes every 4 minutes. Complete the ratio table to find how many cupcakes they can frost in different times.
  3. A car travels 150 miles in 3 hours. A bus travels 200 miles in 5 hours. Which vehicle is faster?
    1. The car
    2. The bus
    3. Same speed
    4. Cannot determine
  4. Find Mia's Mistake
    1. Step 1: Read the problem — A store sells 6 oranges for $4.50. What is the cost of 10 oranges?
    2. Step 2: Find the unit rate — $4.50 ÷ 6 = $0.75 per orange
    3. Step 3: Multiply for 10 oranges — $0.75 + 10 = $10.75
    4. Step 4: Answer — 10 oranges cost $10.75

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

Reflection / Reflexión

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