Rates and Unit Rates — Notes Packet

My Notes Level 1 Support Level 2 Standard Level 3 Enrichment

Today's objectives

Content Objective: I can find a unit rate to compare prices and decide the better buy.

Language Objective: I can explain my choice using the words rate, unit rate, per, and better buy.

📖 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 two quantities with different units is a .
2A rate that tells the cost or amount for one unit is a .
3The word that means 'for each one' is .
4A comparison of two quantities is a .
5The option with the lower unit rate, costing less per item, is the .
6To find a unit rate, I the price by the number of units.

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 find the cost per game (the unit rate) for each booth, and what did you divide?

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.

Rate — A ratio comparing two amounts with different units, like miles per hour.Tasa — Una razón que compara dos cantidades con unidades distintas, como millas por hora. 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. Per — For each one. Example: 5 dollars per book.Por — Por cada uno. Ejemplo: 5 dólares por libro. Divide — Splitting a total into equal groups.Dividir — Repartir un total en grupos iguales. Ratio — A way to compare two amounts.Razón — Una manera de comparar dos cantidades.

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.

The unit rate is ___ per one ___.La tasa unitaria es ___ por un ___.

3. Build Your Explanation

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

Claim: It is hard to compare because the booths have different numbers of games.

Evidence: Students notice the prices cannot be compared directly because the number of games differs, so they need the cost for one game (the unit rate) to compare fairly.

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

Start

Most language support

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

The unit rate is ___ per one ___.La tasa unitaria es ___ por un ___.
I divided ___ by ___ to get the cost per game.Dividí ___ entre ___ para obtener el costo por juego.

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.