Solve Multiplication and Division Equations

My Notes Level 1 Support Level 2 Standard Level 3 Enrichment

Today's objectives

Content Objective: I can solve one-step multiplication and division equations using inverse operations.

Language Objective: I can explain my steps using the words inverse operation, multiply, divide, and isolate.

📖 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.

1An operation that undoes another, like division undoing multiplication, is an .
2To undo dividing by a number, I both sides by that number.
3To undo multiplying by a number, I both sides by that number.
4To get the variable alone on one side is to it.
5The number multiplied by a variable is the .
6The value of the variable that makes an equation true 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 did you undo the multiplication in 3x = 21 (or the division in x / 4 = 9) to isolate the variable?

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.

Inverse operation — Two math actions that undo each other, like × and ÷.Operación inversa — Dos operaciones que se deshacen entre sí, como × y ÷. Multiply — To add equal groups again and again.Multiplicar — Sumar grupos iguales una y otra vez. Divide — To split into equal groups.Dividir — Repartir en grupos iguales. Isolate — To get the letter by itself on one side.Despejar — Dejar la letra sola en un lado. Coefficient — The number multiplied by a variable.Coeficiente — El número que multiplica a una variable.

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 divided / multiplied both sides by ___, so the answer is ___.Dividí / multipliqué ambos lados por ___, así que la respuesta es ___.

3. Build Your Explanation

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

Claim: In 3x = 21 the variable is multiplied, so I undo it with division.

Evidence: Students read 3x as 3 groups of x, recognize multiplication, and contrast it with addition, knowing they will divide (not subtract) to solve.

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

Start

Most language support

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

I divided / multiplied both sides by ___, so the answer is ___.Dividí / multipliqué ambos lados por ___, así que la respuesta es ___.
The inverse of ___ is ___, so I ___.El inverso de ___ es ___, así que ___.

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.