Relate Fractions, Decimals, and Percents

My Notes Level 1 Support Level 2 Standard Level 3 Enrichment

Today's objectives

Content Objective: I can write equivalent fractions, decimals, and percents for the same value.

Language Objective: I can explain my conversions using the words percent, decimal, equivalent, and benchmark.

📖 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 ratio that compares a number to 100, written with a % sign, is a .
2A number that uses a point to show parts of a whole is a .
3 — Having the same value, just written a different way.
4A common, easy-to-remember value like 50% or 1/4 used for comparing is a .
5An amount taken off a price, often given as a percent, 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

How did you convert a fraction like 3/5 into a decimal and a percent in the table?

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.

Percent — A way to compare a number to 100, shown with the % sign.Porcentaje — Una manera de comparar un número con 100, con el signo %. Decimal — A number with a dot, like 0.5, that shows a part.Decimal — Un número con un punto, como 0.5, que muestra una parte. Equivalent — Having the same value, just written a different way.Equivalente — Tener el mismo valor, escrito de otra forma. Benchmark — A familiar number you use to guess, like 50% or 1/2.Referencia — Un número conocido que usas para estimar, como 50% o 1/2. Discount — Money taken off the first price to make it cheaper.Descuento — Dinero que se quita del precio original para que sea más barato.

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.

To change ___ to a decimal I divided ___ by ___.Para cambiar ___ a decimal dividí ___ entre ___.

3. Build Your Explanation

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

Claim: 3/4, 0.75, and 75% all name the same score.

Evidence: Students give 3/4 = 0.75 = 75% and recognize these are three forms of one value, not three different scores.

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

Start

Most language support

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

To change ___ to a decimal I divided ___ by ___.Para cambiar ___ a decimal dividí ___ entre ___.
To get the percent I multiplied the decimal by ___.Para obtener el porcentaje multipliqué el decimal por ___.

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.