Fraction Division Problem Solving

6.NOS.1 · Unit 6 · Lesson 11

Name   Period

Objectives / Objetivos

Content Objective: I can solve real-world problems by writing and solving fraction division equations.

Language Objective: I can explain my reasoning using the words model, equation, solution, and reasonableness.

Key Idea / Idea clave

Fraction Division Word Problems. Formula: Total Amount ÷ Group Size = Number of Groups. 1. Identify the Dividend (total amount being split or shared). 2. Identify the Divisor (size of each group or part). 3. Divide: Total ÷ Size = Number of Groups (or Total ÷ Groups = Size per Group)

I Notice / Observo

  • What is the total amount of fingerprint dust?
  • How much does each test use?

I Wonder / Me pregunto

  • How do you decide which number is the dividend and which is the divisor?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Fraction Division Problem Solving
Resolución de problemas de división de fracciones		Use fraction division to find an unknown number of groups or the size of each group.
Usar la división de fracciones para hallar una cantidad desconocida de grupos o el tamaño de cada grupo.
Model
Modelo		A picture or math way to show a problem so you can solve it.
Un dibujo o forma matemática de mostrar un problema para resolverlo.
Equation
Ecuación		A math sentence with an equal sign showing both sides are the same.
Una oración matemática con un signo igual que muestra que ambos lados son iguales.
Solution
Solución		A number that makes the equation or inequality true.
Un número que hace verdadera la ecuación o desigualdad.
Reasonableness
Razonabilidad		Checking if your answer makes sense.
Revisar si tu respuesta tiene sentido.
Inverse operations
Operaciones inversas		Two math actions that undo each other, like × and ÷.
Dos operaciones que se deshacen entre sí, como × y ÷.

Practice Preview / Vista previa de práctica

  1. A ribbon is 4/5 of a yard long. Each bow uses 1/10 of a yard. Which equation finds how many bows can be made?
    1. 4/5 ÷ 1/10
    2. 1/10 ÷ 4/5
    3. 4/5 × 1/10
    4. 4/5 + 1/10
  2. Solve each word problem by writing and solving an equation.
  3. Sort: is the equation and solution CORRECT, or is there an error?
  4. Find the Problem-Solving Error
    1. Step 1: Problem — A tank has 3/4 gallon of water. Each bucket holds 1/6 gallon. How many buckets can be filled?
    2. Step 2: Student's equation — 1/6 ÷ 3/4
    3. Step 3: Solve — 1/6 × 4/3 = 4/18 = 2/9
    4. Step 4: Answer — 2/9 buckets

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

Reflection / Reflexión

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