Interpret Division of Fractions

Evidence Lab Mission

The Fraction Vault

You are the lead forensic analyst at the Reyes Detective Agency. A 3-foot strip of evidence tape must be cut into exact 1/4-foot sections before it can be logged — and the vault that holds the case file only opens once you know how many pieces that makes. Interpret fraction division and crack the case.

My Notes Level 1 Support Level 2 Standard Level 3 Enrichment

Today's objectives

Content Objective: I can use models to interpret what it means to divide by a fraction.

Language Objective: I can explain a fraction division using the words dividend, divisor, quotient, reciprocal, and unit fraction.

📖 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.

1In 6 ÷ 1/2, the number 6 being divided is the .
2In 6 ÷ 1/2, the number 1/2 we divide by is the .
3The answer to a division problem is the .
4The fraction you get by flipping the numerator and denominator is the .
5A fraction with a numerator of 1, like 1/5, is a .

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

On your fraction bar, how many 1/4-foot sections fit into one whole foot? Point to where you see the pieces?

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.

Dividend — The number you are splitting up in a division problem.Dividendo — El número que estás repartiendo en una división. Divisor — The number you split by in a division problem.Divisor — El número entre el que divides en una división. Quotient — The answer when you divide.Cociente — La respuesta cuando divides. Unit fraction — A fraction with 1 on top, like 1/4.Fracción unitaria — Una fracción con 1 arriba, como 1/4. Reciprocal — A fraction turned upside down.Recíproco — Una fracción volteada de arriba abajo.

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.

In one whole foot I see ___ sections of 1/4 each.En un pie completo veo ___ secciones de 1/4 cada una.

3. Build Your Explanation

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

Claim: Because each piece is smaller than a whole foot, 3 feet makes more than 3 pieces.

Evidence: Students reason that since 1/4 is less than 1, more than 3 pieces fit, so the quotient is greater than the dividend.

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

Start

Most language support

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

In one whole foot I see ___ sections of 1/4 each.En un pie completo veo ___ secciones de 1/4 cada una.
So 3 feet hold ___ pieces because 3 times ___ equals ___.Entonces 3 pies tienen ___ pedazos porque 3 por ___ es ___.

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.