Fraction Division Problem Solving

6.NOS.1 · Unit 2 · Lesson 5

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

Total goes first (dividend), group size goes second (divisor): total ÷ group size. Then check your answer by multiplying it back.

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
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: