Divide Fractions — Notes Packet

My Notes Level 1 Support Level 2 Standard Level 3 Enrichment

Today's objectives

Content Objective: I can divide a fraction by a fraction by multiplying by the reciprocal and simplifying.

Language Objective: I can explain my steps using the words dividend, divisor, reciprocal, quotient, and simplify.

📖 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 3/4 ÷ 1/2, the fraction 3/4 being divided is the .
2In 3/4 ÷ 1/2, the fraction 1/2 we divide by is the .
3To divide by 1/2, I multiply by its , which is 2.
4The answer to a division problem is the .
5Writing a fraction in its smallest equal form, like 4/8 = 1/2, is to it.

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

Why do we multiply by the reciprocal when we divide one fraction by another?

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.

Divisor — The number you split by in a division problem.Divisor — El número entre el que divides en una división. Reciprocal — A fraction turned upside down.Recíproco — Una fracción volteada de arriba abajo. Quotient — The answer when you divide.Cociente — La respuesta cuando divides. Simplify — To make a fraction smaller using the same parts, like 2/4 = 1/2.Simplificar — Hacer una fracción más pequeña con las mismas partes, como 2/4 = 1/2. Dividend — The number you are splitting up in a division problem.Dividendo — El número que estás repartiendo en una división.

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 flipped the divisor to its reciprocal because ___.Volteé el divisor a su recíproco porque ___.

3. Build Your Explanation

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

Claim: She will get many portions because 1/8 pound is much smaller than 3/4 pound.

Evidence: Students recognize the divisor 1/8 is smaller than the dividend 3/4, so the quotient is greater than 1.

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.

I flipped the divisor to its reciprocal because ___.Volteé el divisor a su recíproco porque ___.
After Keep, Change, Flip the answer is ___.Después de Mantener, Cambiar, Voltear la respuesta 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.