Divide Whole Numbers by Fractions

My Notes Level 1 Support Level 2 Standard Level 3 Enrichment

Today's objectives

Content Objective: I can divide a whole number by a fraction by multiplying by the reciprocal.

Language Objective: I can explain my steps using the words fraction, reciprocal, quotient, and Keep, Change, Flip.

📖 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 counting number like 0, 1, 2, or 3 with no fraction or decimal part is a .
2A number that shows part of a whole, like 3/4, is a .
3The fraction you get by flipping a fraction upside down is its .
4To divide by a fraction, I : keep the first number, change ÷ to ×, and flip the second fraction.
5The answer to a division problem is the .

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

How does 'Keep, Change, Flip' turn 6 ÷ 1/3 into a multiplication problem?

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.

Reciprocal — A fraction turned upside down.Recíproco — Una fracción volteada de arriba abajo. Keep, Change, Flip — A way to divide fractions: keep the first, change ÷ to ×, flip the second.Mantener, cambiar, invertir — Una manera de dividir fracciones: deja la primera, cambia ÷ por ×, voltea la segunda. Quotient — The answer when you divide.Cociente — La respuesta cuando divides. Whole Number — A counting number with no fraction or decimal, like 0, 1, 2, 3.Número entero — Un número de contar sin fracción ni decimal, como 0, 1, 2, 3. Fraction — A number that shows part of a whole, like 3/4.Fracción — Un número que muestra una parte de un todo, como 3/4.

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.

I keep ___, change the sign to ___, and flip ___ to ___.Mantengo ___, cambio el signo a ___, y volteo ___ a ___.

3. Build Your Explanation

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

Claim: Each whole pound makes 2 half-pound bags, so 4 pounds makes 8 bags.

Evidence: Students see that 4 ÷ 1/2 = 8 and explain there are 2 halves in each whole pound.

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

Start

Most language support

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

I keep ___, change the sign to ___, and flip ___ to ___.Mantengo ___, cambio el signo a ___, y volteo ___ a ___.
So 6 ÷ 1/3 becomes 6 × ___, which equals ___.Entonces 6 ÷ 1/3 se convierte en 6 × ___, que es igual a ___.

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.