Neft Teacher · Notes Packet

Unit 4 · Standard 6.RP.2

Rates and Unit Rates Flagship

Lesson 4-1-flagship

Name:Date:Class:

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.

Key Vocabulary Level 1 support

Picture first, then the word, then a plain-language meaning. Say each word out loud.

Illustration of Rate: A ratio comparing two amounts with different units, like miles per hour.

$12 for 4 games is a rate

Rate

A ratio comparing two amounts with different units, like miles per hour.

Illustration of Unit Rate: A rate for just 1 of something, like cost for 1 item.

$3 per 1 game

Unit Rate

A rate for just 1 of something, like cost for 1 item.

Illustration of Per: For each one. Example: 5 dollars per book.

60 miles per hour means 60 miles for every 1 hour

Per

For each one. Example: 5 dollars per book.

Illustration of Ratio: A way to compare two amounts.

5 to 3 or 5:3

Ratio

A way to compare two amounts.

Illustration of Better Buy: The choice that costs less for each item.

Pack A: $0.50 per pencil vs Pack B: $0.40 per pencil — Pack B is the better buy

Better Buy

The choice that costs less for each item.

Illustration of Divide: Splitting a total into equal groups.

$12 ÷ 4 games = $3 per game

Divide

Splitting a total into equal groups.

Key Ideas & Notes

Think About It

  • What two quantities are being compared at each booth?
  • Which booth seems like a better deal at first glance?
  • How can you compare prices when the number of games is different?

My Notes

Guided Examples

Example 1

A booth charges $4.50 for 9 games. What is the unit rate?

Solution: $4.50 ÷ 9 = $0.50 per game.

Answer: A. $0.50 per game

Example 2

A car travels 180 miles using 6 gallons of gas. What is the unit rate in miles per gallon?

Solution: 180 miles ÷ 6 gallons = 30 miles per gallon.

Answer: A. 30 miles per gallon

Example 3

A pack of 8 markers costs $6.00. What is the cost per marker?

Solution: $6.00 ÷ 8 = $0.75 per marker.

Answer: A. $0.75

Write About the Math The Writing Revolution

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

1. Kernel Sentence subject + verb

Model: Rate is a ratio comparing two amounts with different units, like miles per hour.Tasa es una razón que compara dos cantidades con unidades distintas, como millas por hora.

Write a kernel sentence about rate. Use a subject and a verb.Escribe una oración base sobre tasa. Usa un sujeto y un verbo.

2. Sentence Expansion because · but · so

Kernel: Rate matters in mathTasa importa en matemáticas

Expand the kernel three ways. Add a reason, a contrast, and a result.

becauseporque

Rate matters in math because ___.Tasa importa en matemáticas porque ___.

butpero

Rate matters in math, but ___.Tasa importa en matemáticas, pero ___.

soentonces

Rate matters in math, so ___.Tasa importa en matemáticas, entonces ___.

3. Sentence Types 4 ways to write a math idea

StatementAfirmación

Tell one true fact about rate.Di un hecho verdadero sobre rate.

Rate ___.

QuestionPregunta

Ask a question about rate.Haz una pregunta sobre rate.

How does ___ ?¿Cómo ___ ?

ExclamationExclamación

Show excitement about rate.Muestra entusiasmo sobre rate.

Wow, ___ !¡Guau, ___ !

CommandMandato

Tell a partner what to do with rate.Dile a un compañero qué hacer con rate.

First, ___ .Primero, ___ .

4. Explain Your Reasoning use a sentence starter

I know ___ because ___.Sé que ___ porque ___.

First I ___, then I ___.Primero ___, luego ___.

This is important because ___.Esto es importante porque ___.

Try It

Solve on your own. Check the answer key when you are done.

1. Which token pack from the table above is the best deal?

  1. Pack A
  2. Pack B
  3. Pack C
  4. They are all the same
Show your work:

2. Runner A completes 4 laps in 12 minutes. Runner B completes 5 laps in 14 minutes. Who runs more laps per minute?

  1. Runner B
  2. Runner A
  3. Same rate
  4. Cannot determine
Show your work:

Stretch Your Thinking Level 2 enrichment

Challenge task — explain your reasoning in full sentences.

An arcade sells tokens in three packs: 25 tokens for $5, 60 tokens for $10.80, and 100 tokens for $19. A student says the 100-token pack is always the best deal because you get the most tokens. Is the student correct? Find all three unit rates and explain.

Sentence starter: The student is ___ because the best deal is the ___ pack with a unit rate of $___ per token.

Show your work:

Reflect — Exit Ticket

A store sells 6 pencils for $1.50 and 10 pencils for $2.80. Which is the better buy?

  1. 6 for $1.50 — $0.25 each
  2. 10 for $2.80 — $0.28 each
  3. They cost the same per pencil
  4. Not enough information
Your answer:

Answer Key & Teacher Guide

  1. Try It 1: B. Pack B — Pack B has a unit rate of $0.20 per token, which is the lowest cost per token.
  2. Try It 2: A. Runner B — Runner A: 4÷12 ≈ 0.33 laps/min. Runner B: 5÷14 ≈ 0.36 laps/min. Runner B runs slightly more laps per minute.
  3. Exit Ticket: A. 6 for $1.50 — $0.25 each — $1.50 ÷ 6 = $0.25 per pencil. $2.80 ÷ 10 = $0.28 per pencil. $0.25 < $0.28, so 6 for $1.50 is the better buy.

Writing (TWR) — what to look for