Divide Mixed Numbers — Notes Packet

My Notes Level 1 Support Level 2 Standard Level 3 Enrichment

Today's objectives

Content Objective: I can divide mixed numbers by first changing them to improper fractions.

Language Objective: I can explain my steps using the words mixed number, improper fraction, convert, reciprocal, 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.

1A number with a whole number and a fraction, like 2 1/3, is a .
2A fraction whose numerator is greater than or equal to its denominator, like 7/3, is an .
3Changing a mixed number into an improper fraction is to it.
4Writing a fraction in its smallest equal form is to it.
5To divide by a fraction, I multiply by its .

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

Walk your partner through how you changed the mixed numbers before dividing?

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.

Mixed Number — A whole number plus a fraction, like 2 1/3.Número mixto — Un número entero más una fracción, como 2 1/3. Improper Fraction — A fraction where the top is bigger than or equal to the bottom, like 7/4.Fracción impropia — Una fracción donde el número de arriba es mayor o igual al de abajo, como 7/4. 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. Reciprocal — A fraction turned upside down. You use it in keep-change-flip.Recíproco — Una fracción volteada de arriba abajo. Se usa en deja-cambia-voltea. Convert — To change a number to a new form but keep the same value.Convertir — Cambiar un número a otra forma sin cambiar su valor.

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.

First I converted ___ into the improper fraction ___.Primero convertí ___ en la fracción impropia ___.

3. Build Your Explanation

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

Claim: A mixed number must first become an improper fraction so I can flip and multiply.

Evidence: Students explain that the mixed number must be converted to an improper fraction (7/2) before applying Keep, Change, Flip.

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

Start

Most language support

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

First I converted ___ into the improper fraction ___.Primero convertí ___ en la fracción impropia ___.
Then I flipped the divisor and got the quotient ___.Luego volteé el divisor y obtuve el cociente ___.

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.