Compare Ratios — Notes Packet

My Notes Level 1 Support Level 2 Standard Level 3 Enrichment

Today's objectives

Content Objective: I can compare ratios by finding unit rates or using equivalent ratios.

Language Objective: I can explain my comparison using the words unit rate, equivalent ratio, compare, and common denominator.

📖 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 rate that tells the amount for exactly one unit, like 5 miles per 1 hour, is a .
2 — Two ratios that mean the same thing.
3To decide which ratio is greater or if they are equal is to them.
4Writing a ratio in its smallest equal form is to it.
5A denominator shared by two fractions so they can be compared 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

compare

You scaled both recipes to 35 oz of milk: Chef Reyes became 21:35 and Chef Tran became 20:35. How does scaling to a common denominator let you compare the recipes fairly?

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.

Equivalent ratio — Two ratios that mean the same thing.Razón equivalente — Dos razones que significan lo mismo. Compare — To look at ratios and see which is bigger, smaller, or equal.Comparar — Mirar razones para ver cuál es mayor, menor o igual. Simplify — To make a ratio as small as possible while keeping the same comparison.Simplificar — Hacer una razón lo más pequeña posible sin cambiar la comparación. Common denominator — A bottom number that two fractions can share so you can compare them.Denominador común — Un número de abajo que dos fracciones pueden compartir para compararlas. Unit rate — A rate for just 1 of something, like cost for 1 item.Tasa unitaria — Una tasa para solo 1 de algo, como el precio de 1 artículo.

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.

After scaling to 35 oz, Chef Reyes has ___ tbsp and Chef Tran has ___ tbsp.Después de escalar a 35 oz, Chef Reyes tiene ___ cucharadas y Chef Tran tiene ___ cucharadas.

3. Build Your Explanation

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

Claim: You can't compare fairly until the ratios share the same amount of milk or you find cocoa per 1 oz.

Evidence: Students recognize that 3:5 and 4:7 have different milk amounts, so a fair comparison needs equal milk (a common amount) or a unit rate (cocoa per 1 oz).

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

Start

Most language support

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

After scaling to 35 oz, Chef Reyes has ___ tbsp and Chef Tran has ___ tbsp.Después de escalar a 35 oz, Chef Reyes tiene ___ cucharadas y Chef Tran tiene ___ cucharadas.
Now I can compare because the ___ is the same, so I just compare the ___.Ahora puedo comparar porque la ___ es igual, así que solo comparo el ___.

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.