Rates and Unit Rates — Notes Packet

Arcade Builder Mission

Best Booth in the Arcade

You are the new operations manager at NeonPlex Arcade. Two ticket booths are competing for players — Booth A charges $3 for 5 games, Booth B charges $5 for 8 games. Players want the best deal, and your job is to crown the winning booth by mastering unit rates.

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 for each booth, and which booth wins?

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. Better Buy — The choice that costs less for each item.Mejor compra — La opción que cuesta menos por cada artículo. Divide — Splitting a total into equal groups.Dividir — Repartir un total en grupos iguales.

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.

Booth A costs ___ per game because 3 divided by 5 equals ___.El puesto A cuesta ___ por juego porque 3 entre 5 es ___.

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 you find the cost per 1 game (the unit rate) for each booth.

Evidence: Students recognize the booths offer different numbers of games, so a fair comparison needs the cost per 1 game (unit rate).

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.

Booth A costs ___ per game because 3 divided by 5 equals ___.El puesto A cuesta ___ por juego porque 3 entre 5 es ___.
The better buy is Booth ___ because its ___ is lower.La mejor compra es el puesto ___ porque su ___ es más baja.

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.