Pizza Ratios Lesson Plan Pizza Ratios!
Lesson Plan
GRADE 6
Math: Ratios & Rates
Duration
45 Minutes
Audience
Tier 1 โข 6th Grade
Standard
CCSS 6.RP.A.2
Why This Matters
Understanding ratios and unit rates helps students make sense of prices, speeds, and other comparisons in their daily lives, like choosing the best deal at the grocery store or understanding fuel efficiency.
Learning Objective
Students will understand, identify, and calculate ratios, rates, and unit rates from real-world scenarios, specifically focusing on proportional relationships involving pizza delivery pricing.
Teacher Preparation Est. Time: 15 mins
Review all generated materials: Slide Deck , Warm-Up , Teacher Script , Differentiated Practice , Anchor Chart , and Cool-Down .
Make copies of the Warm-Up and Differentiated Practice (including Spanish versions as needed).
Prepare to display the Anchor Chart digitally or print/draw on chart paper.
Ensure projector/smartboard is ready for the Slide Deck.
Instructional Sequence
Min 05
Warm-Up: Pizza Predicament
Distribute Warm-Up: Pizza Predicament .
Students work individually for 2 minutes to consider the pizza pricing scenario.
Discuss responses as a class, prompting initial thoughts on "best deals." Use the Teacher Script for guidance.
Min 10
Introduction: Pizza Delivery Hook
Display Slide Deck - Slide 1.
Use the pizza delivery pricing scenario from the warm-up as a hook. Engage students with questions about deciding which pizza is a better deal.
Introduce terms ratio , rate , and unit rate using Slides 2-4 and the Anchor Chart .
Explain importance for consumer choices.
Min 15
Guided Practice: Comparing Pizza Deals
Display Slide Deck - Slides 5-7.
Guide students through calculating unit rates. Model 1-2 examples of setting up ratios.
Students work in partners on Level 1 examples from Slice & Dice Ratios .
Circulate to support students struggling with fractions.
Min 10
Differentiated Practice: Slice & Dice Ratios
Explain the three levels: Easy (basic), Medium (multi-step), Challenge (application).
Students choose level or are assigned based on readiness.
Circulate and encourage advanced students to try challenge problems; help others visualize ratios (e.g., drawing slices).
Min 05
Cool-Down: Pizza Price Check
Distribute Cool-Down: Pizza Price Check .
Students complete individually to assess understanding across complexity levels.
Collect to gauge comprehension and inform future instruction.
Materials Checklist
Smartboard or Projector
Pizza Ratios Slide Deck
Markers or Whiteboard
Warm-Up: Pizza Predicament
Pizza Ratios Script
Slice & Dice Ratios Worksheet
Ratio & Unit Rate Anchor Chart
Cool-Down: Pizza Price Check
Pizza Ratios Slideshow ๐
๐
Pizza Ratios!
Serving up some serious math skills!
Today's Menu
โ Warm-Up: The Pizza Predicament
โ New Toppings: Ratios, Rates, & Unit Rates
โ Chef's Specials: Guided Practice
โ Your Order: Differentiated Practice
โ The Check: Exit Ticket
The Great Pizza Debate!
๐
Pizza Palace
12 Slices
for $24
"More for your money!"
VS
โก
Super Slice
8 Slices
for $18
"Quality over quantity!"
Which one would you choose? Why?
What's a Ratio?
A ratio compares two quantities.
1
It can be written as: a to b, a:b, or a/b
2
It shows the relationship between two numbers.
Example: Pizza Palace
Slices to Cost Ratio
12 slices : $24
Cost to Slices Ratio
$24 : 12 slices
What's a Rate?
A rate is a special ratio that compares two quantities with different units.
Pizza Rate
$24 for 12 slices
Comparing Dollars ($) to Slices!
Miles per Hour
Distance & Time
Words per Minute
Text & Time
Dollars per Pound
Cost & Weight
The "Unit" in Unit Rate!
A unit rate is a rate where the second quantity is exactly 1.
The Secret Formula:
Divide First Qty
by
Second Qty
Let's Calculate
Pizza Palace: $24 for 12 slices
$24 รท 12
Unit Rate (Cost per slice)
$2.00 / slice
Guided Practice: Super Slice
The Deal
Super Slice
8 Slices for $18
Your Challenge
Identify the quantities
Set up the rate ($ per slice)
Calculate the unit rate!
Wait for the Chef!
Work with your partner to solve!
Which is the Better Deal?
Pizza Palace
$2.00
Per Slice
Super Slice
$2.25
Per Slice
Pizza Ratios Teacher Script Teacher Script
Lesson: Pizza Ratios!
Teacher Resource
1
Warm-Up: Pizza Predicament (5 min)
Teacher distributes the warm-up handout. Allow 2 minutes for silent thinking.
Teacher: "Good morning, future math chefs! Today, we're going to dive into a topic that helps us make smart decisions every single day, especially when it comes to our favorite foods. Let's start with a warm-up called Warm-Up: Pizza Predicament . Please take one and work independently for about two minutes. Think about the pizza problem and what you would choose."
After 2 minutes...
Teacher: "Alright, let's talk pizza! Who can share their thoughts on the Pizza Predicament? Which pizza would you choose and why? Don't worry about being perfectly 'mathy' yet, just tell me your initial ideas."
Tip: Listen for keywords like 'cheaper,' 'more slices,' or 'better deal' to bridge to the math definitions.
2
Introduction: Pizza Delivery Hook (10 min)
Display Slide 1: Welcome to Pizza Ratios!
Teacher: "Welcome to Pizza Ratios! Today we're going to become experts at 'slicing and dicing' numbers to get the best deals and understand comparisons. Our goal is to understand and calculate ratios, rates, and unit rates."
Display Slide 2: The Great Pizza Debate!
Teacher: "So, you've seen these two pizza deals. How do you really figure out which one is the better deal? What math tools could we use to compare them fairly? Turn and talk to your partner for 30 seconds."
Teacher: "Excellent discussions! Many of you are hinting at some very important math concepts. Today, we're going to officially learn about ratios, rates, and unit rates."
Display Slide 3: What's a Ratio? (Reference Anchor Chart)
Teacher: "First up, a ratio . A ratio is simply a way to compare two quantities. Look at our Pizza Palace deal: 12 slices for $24. We can write this as 12 slices to $24, or 12:24, or even 12/24. What are the two quantities we are comparing here?"
Wait for student response: "Slices and Cost"
Display Slide 4: What's a Rate?
Teacher: "Now, a rate is a special kind of ratio. It compares two quantities that have different units . In our pizza example, we're comparing money ($) to slices. Can anyone think of another example of a rate from everyday life?"
Wait for responses like: "miles per hour", "words per minute"
Pizza Predicament Warm-Up Pizza Predicament
Warm-Up Activity
Name:
Date:
The Situation
Imagine you and your friends are super hungry for pizza! There are two pizza places nearby with these specials:
Pizza Palace
A large pizza with 12 slices costs $24.
Super Slice
A medium pizza with 8 slices costs $18.
1 Without doing any complicated math, which pizza deal seems like the better deal to you? Why?
2 What information would you need to know for sure which pizza is the better deal? Pizza Predicament Warm-Up Spanish El Predicamento
de la Pizza
Actividad de Calentamiento
Nombre:
Fecha:
La Situaciรณn
ยกImagina que tรบ y tus amigos tienen muchรญsima hambre de pizza! Hay dos pizzerรญas cerca con estas ofertas especiales:
Pizza Palace
Una pizza grande con 12 rebanadas cuesta $24.
Super Slice
Una pizza mediana con 8 rebanadas cuesta $18.
1 Sin hacer matemรกticas complicadas, ยฟquรฉ oferta de pizza parece mejor para ti? ยฟPor quรฉ?
2 ยฟQuรฉ informaciรณn necesitarรญas saber con certeza para saber quรฉ pizza es la mejor oferta? Slice & Dice Ratios Worksheet Slice & Dice Ratios
Differentiated Practice
Name:
Date:
Work with your partner to solve the problems below. Choose the level that feels right for you! If you finish one level, try the next one.
Level 1: Easy Slices Basic Unit Rates
1. A baker makes 10 cookies for every 5 cups of flour. What is the unit rate of cookies per cup of flour?
2. A car travels 120 miles on 4 gallons of gas. How many miles does the car travel per gallon?
3. You can buy 3 apples for $1.50. What is the cost per apple?
Level 2: Medium Melts Comparing Deals
1. Juice Box Battle:
Store A: 6 juice boxes for $3.00
Store B: 10 juice boxes for $4.50
Which store offers the better deal per juice box? Show your work.
2. A jogger runs 5 kilometers in 30 minutes. If they keep the same pace, how many minutes does it take to run 1 kilometer? How many kilometers do they run in 1 minute?
3. A recipe calls for 2 cups of sugar for every 3 cups of flour. If you want to use 9 cups of flour, how much sugar do you need?
Level 3: Challenge Combos Application
1. Movie Snack Mix-Up:
Popcorn: 24 ounces for $6.00
Candy Bag: 15 ounces for $4.50
Calculate the unit price for each. If you have $10, which snack can you buy more of, and how much of it can you buy (to the nearest ounce)?
2. Create your own real-world problem that requires finding and comparing two different unit rates. Then, solve your problem!
Slice & Dice Ratios Worksheet Spanish Proporciones y Precios
Prรกctica Diferenciada
Nombre:
Fecha:
Trabaja con tu compaรฑero para resolver los problemas a continuaciรณn. ยกElige el nivel que te parezca adecuado! Si terminas un nivel, intenta el siguiente.
Nivel 1: Rebanadas Fรกciles Tasas Unitarias
1. Un panadero hace 10 galletas por cada 5 tazas de harina. ยฟCuรกl es la tasa unitaria de galletas por taza de harina?
2. Un coche viaja 120 millas con 4 galones de gasolina. ยฟCuรกntas millas viaja el coche por galรณn?
3. Puedes comprar 3 manzanas por $1.50. ยฟCuรกl es el costo por manzana?
Nivel 2: Derretidos Medianos Comparando Ofertas
1. Batalla de Cajas de Zumo:
Tienda A: 6 cajas de zumo por $3.00
Tienda B: 10 cajas de zumo por $4.50
ยฟQuรฉ tienda ofrece la mejor oferta por caja de zumo? Muestra tu trabajo.
2. Un corredor corre 5 kilรณmetros en 30 minutos. Si mantiene el mismo ritmo, ยฟcuรกntos minutos tarda en correr 1 kilรณmetro? ยฟCuรกntos kilรณmetros corre en 1 minuto?
3. Una receta pide 2 tazas de azรบcar por cada 3 tazas de harina. Si quieres usar 9 tazas de harina, ยฟcuรกnta azรบcar necesitas?
Nivel 3: Combos de Desafรญo Aplicaciรณn
1. Mezcla de Aperitivos de Cine:
Palomitas: 24 onzas por $6.00
Bolsa de Caramelos: 15 onzas por $4.50
Calcula el precio unitario de cada uno. Si tienes $10, ยฟde quรฉ aperitivo puedes comprar mรกs y cuรกnto puedes comprar (a la onza mรกs cercana)?
2. Crea tu propio problema de la vida real que requiera encontrar y comparar dos tasas unitarias diferentes. Luego, ยกresuelve tu problema!
Ratio & Unit Rate Anchor Chart ๐
๐
Ratio & Unit Rate
Mastering the Math of Comparison
What is a RATIO?
A ratio compares two quantities.
It can be written as: a to b , a:b , or a/b .
Example
3 apples to 2 bananas
3:2
What is a RATE?
A rate is a special ratio comparing quantities with different units .
Example
60 miles per 2 hours
Distance vs. Time
What is a UNIT RATE?
A unit rate is a rate where the second quantity is exactly 1 .
How to find it
Divide Qty 1 Qty 2
60 miles รท 2 hours =
30 miles per 1 hour
Why does this matter?
Ratios help us compare quantities. Unit rates help us find the BEST DEAL and understand efficiency!
Ratio & Unit Rate Anchor Chart Spanish ๐
๐
Razรณn y Tasa Unitaria
Dominando las Matemรกticas de Comparaciรณn
ยฟQuรฉ es una RAZรN?
Una razรณn compara dos cantidades.
Se puede escribir como: a a b , a:b , o a/b .
Ejemplo
3 manzanas a 2 plรกtanos
3:2
ยฟQuรฉ es una TASA?
Una tasa es una razรณn especial que compara dos cantidades con unidades diferentes .
Ejemplo
60 millas por 2 horas
Distancia vs. Tiempo
ยฟQuรฉ es una TASA UNITARIA?
Una tasa unitaria es una tasa donde la segunda cantidad es exactamente 1 .
Cรณmo encontrarla
Divide Cant. 1 Cant. 2
60 millas รท 2 horas =
30 millas por 1 hora
ยฟPor quรฉ es importante?
Las razones nos ayudan a comparar cantidades. ยกLas tasas unitarias nos ayudan a encontrar la MEJOR OFERTA y a entender la eficiencia!
Pizza Price Check Cool Down Pizza Price Check
Cool-Down Exit Ticket
Name:
Date:
Show what you know about ratios and unit rates! Complete each problem below.
Level: Easy
1. A store sells 5 pencils for $1.00. What is the cost of 1 pencil?
Level: Medium
You are buying juice boxes:
Store A sells 8 juice boxes for $4.00
Store B sells 12 juice boxes for $5.40
Which store has the better deal? Show how you know.
Level: Challenge
A chef is making soup. The recipe calls for 3 cups of broth for every 2 cups of vegetables. If the chef wants to use 7 cups of vegetables, how many cups of broth will they need? Show your work.
End of Session โข Pizza Ratios Mastered!
Pizza Price Check Cool Down Spanish Revisiรณn de Precios
de Pizza
Boleto de Salida (Cierre)
Nombre:
Fecha:
ยกDemuestra lo que sabes sobre razones y tasas unitarias! Completa cada problema a continuaciรณn.
Nivel: Fรกcil
1. Una tienda vende 5 lรกpices por $1.00. ยฟCuรกl es el costo de 1 lรกpiz?
Nivel: Medio
Estรกs comprando cajas de zumo:
Tienda A vende 8 cajas por $4.00
Tienda B vende 12 cajas por $5.40
ยฟQuรฉ tienda tiene la mejor oferta? Muestra cรณmo lo sabes.
Nivel: Desafรญo
Un chef estรก haciendo sopa. La receta pide 3 tazas de caldo por cada 2 tazas de vegetales. Si el chef quiere usar 7 tazas de vegetales, ยฟcuรกntas tazas de caldo necesitarรก? Muestra tu trabajo.
Fin de la sesiรณn โข ยกDominaste las proporciones!