Fraction Division Problem Solving

My Notes Level 1 Support Level 2 Standard Level 3 Enrichment

Today's objectives

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.

📖 See Learn It for the explanation and worked examples, and the Vocab tab for the words. These are your notes to fill in and keep.

✏️ Fill in each blank as we go. Use the Word Bank to help you.

📚 Word Bank — fill each blank with the best word

👆 Tap any word to see what it means and a picture.

Level 3: try the blanks from memory first, then check the bank.

1A drawing or diagram that shows a math situation is a .
2A math sentence that says two amounts are equal, with an = sign, is an .
3The value that makes an equation true is the .
4Checking whether an answer makes sense for the problem is checking its .
5Operations that undo each other, like multiplication and division, are .

Write About the Math Guided ESOL writing

Use the support level you need. Every level answers the same math question.

1. Understand the Question

explain

What clue in a word problem tells you to divide fractions instead of multiply?

Your job: Answer the question. Use math evidence. Explain how the evidence proves your answer.Responde la pregunta. Usa evidencia matemática. Explica cómo la evidencia demuestra tu respuesta.

2. Plan Your Math Words

Check at least two words you will use.

Equation — A math sentence with an equal sign showing both sides are the same.Ecuación — Una oración matemática con un signo igual que muestra que ambos lados son iguales. Solution — The answer to an equation or problem.Solución — La respuesta a una ecuación o problema. Reasonableness — Checking if your answer makes sense.Razonabilidad — Revisar si tu respuesta tiene sentido. Model — A picture or math way to show a problem so you can solve it.Modelo — Un dibujo o forma matemática de mostrar un problema para resolverlo. Inverse operations — Two math actions that undo each other, like × and ÷.Operaciones inversas — Dos operaciones que se deshacen entre sí, como × y ÷.

Say it first: Say your idea to a partner or quietly to yourself before you write.Di tu idea a un compañero o en voz baja antes de escribir.

The problem asked me to find ___, so I divided.El problema me pidió encontrar ___, así que dividí.

3. Build Your Explanation

Model the parts: This model shows the parts of an explanation. It does not answer your writing question.

Claim: The total amount is the dividend; the size of each test is the divisor.

Evidence: Students identify 2/3 as the total being split (dividend) and 1/6 as the group size (divisor), writing 2/3 ÷ 1/6.

Reasoning: This evidence connects the definition of model to the mathematical claim.

Start

Most language support

Complete the frames. Use the word bank.Completa las oraciones. Usa el banco de palabras.

The problem asked me to find ___, so I divided.El problema me pidió encontrar ___, así que dividí.
I divided rather than multiplied because ___.Dividí en lugar de multiplicar porque ___.

Build

Some language support

Write two connected sentences. Use because, so, or but.Escribe dos oraciones conectadas. Usa porque, entonces o pero.

My claim is ___.Mi afirmación es ___.
I know because ___.Lo sé porque ___.
So ___.Entonces ___.

Explain

Light language support

Write a claim, give math evidence, and explain your reasoning.Escribe una afirmación, da evidencia matemática y explica tu razonamiento.

My claim is ___.Mi afirmación es ___.
My math evidence is ___.Mi evidencia matemática es ___.
This proves ___ because ___.Esto demuestra ___ porque ___.

4. Check Your Explanation

I answered the question.Respondí la pregunta. I used math evidence: numbers, an equation, a model, or a comparison.Usé evidencia matemática: números, una ecuación, un modelo o una comparación. I explained how the evidence proves my answer.Expliqué cómo la evidencia demuestra mi respuesta. I used at least two math words.Usé por lo menos dos palabras matemáticas. I reread complete sentences and punctuation.Volví a leer mis oraciones completas y la puntuación.