Solve Problems with Unit Rates

My Notes Level 1 Support Level 2 Standard Level 3 Enrichment

Today's objectives

Content Objective: I can solve real-world problems by using unit rates to compare options.

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

📖 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 gives the amount for exactly one unit is a .
2The option that costs less per item, found by comparing unit rates, is the .
3Showing how two amounts relate to each other is a .
4The cost or amount for a single item is the cost .
5A ratio comparing two quantities with different units is a .
6An equation stating that two ratios are equal 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 the unit rate help you decide the better buy between the two token suppliers in your 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.

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. Better Buy — The choice that costs less for each item.Mejor compra — La opción que cuesta menos por cada artículo. Comparison — Looking at numbers to see which is bigger or smaller.Comparación — Mirar números para ver cuál es mayor o menor. Per Unit — For each single item.Por unidad — Por cada artículo. 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.

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 for ___ is $___ per token.La tasa unitaria de ___ es $___ por ficha.

3. Build Your Explanation

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

Claim: Finding the cost per one token lets me compare deals fairly even when the package sizes differ.

Evidence: Students explain the packages have different quantities, so the per-unit cost (unit rate) is needed to compare deals fairly.

Reasoning: This evidence connects the definition of unit 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 for ___ is $___ per token.La tasa unitaria de ___ es $___ por ficha.
The better buy is ___ because its unit rate is ___.La mejor compra es ___ porque su tasa unitaria es ___.

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.