Pizza Rate Teacher Guide Pizza Rate Showdown
Teacher Facilitation Guide
Duration 45 Min
Learning Objective
Students will understand the concept of a unit rate \( \frac{a}{b} \) associated with a ratio \( a:b \) with \( b \neq 0 \), and use rate language in the context of a ratio relationship.
Standards Alignment
CCSS.MATH.CONTENT.6.RP.A.2: Understand the concept of a unit rate a/b associated with a ratio a:b with b != 0...
Materials Needed
Lesson Slides
Practice Sheets (EN/ES)
Exit Tickets
Calculators (Optional)
Instructional Flow
5 min
The Pizza Hook
Present the "Two Parlors" problem: Tony's vs. Maria's. Ask: "If we need 10 pizzas for a party, where should we buy them?" Don't solve yet, just spark the need for unit rates.
10 min
Direct Instruction & Anchor Chart
Define Ratio, Rate, and Unit Rate. Show how to divide the numerator by the denominator to get "per 1". Focus on vocabulary: "for every", "per", "for each".
20 min
Differentiated Practice
Students work on the "Pizza Rate Showdown" sheet. Tiered Support:
Group A (Struggling): Focus on whole number unit rates (e.g., $20/5). Use visual grouping.Group B (On-Grade): Mix of decimals and money contexts.Group C (Advanced): Comparison problems with multi-step reasoning.
10 min
Exit Ticket & Wrap Up
Students complete the tiered exit ticket. Collect data for tomorrow's grouping.
Differentiation & ML Strategies
Multi-Language Learners
Use the bilingual (English/Spanish) worksheet provided.
Emphasize visual cues (pizza slices) to anchor the word "rate".
Sentence Frame: "The price is $____ per pizza."
Scaffolding Fractions
Remind students: "The fraction bar is just a division sign!"
Provide a multiplication chart for those struggling with division facts.
Use money (quarters/dimes) as a physical model for decimals.
Pizza Rate Slides Pizza Rate Showdown
Understanding Ratios & Unit Rates
Grade 6 Math
The Big Party Dilemma!
Tony's Pizza
$24.00
for 2 Pizzas
Maria's Pizza
$33.00
for 3 Pizzas
If we need 10 pizzas, who gives us the best deal?
Breaking it Down
Step 1
Ratio
A comparison of two quantities.
$33 : 3 pizzas
Step 2
Rate
A ratio comparing quantities with different units.
$33 / 3 pizzas
Step 3
Unit Rate
A rate that compares a quantity to ONE unit.
$11 / 1 pizza
The "Secret" Recipe
1
Identify the quantities
Total Price ($33) and Quantity (3 pizzas)
2
Set up the division
Divide the first number by the second number.
3
Label your unit
The result is "per unit" (e.g., "per pizza")
\[ \frac{\$33}{3 \text{ pizzas}} \]
\( \downarrow \)
\$11 / pizza
Which Deal is Better?
Tony's
\( \frac{\$24}{2 \text{ pizzas}} \)
?
Maria's
\( \frac{\$33}{3 \text{ pizzas}} \)
?
"I'll give you 1 minute to solve with your shoulder partner!"
Unit Rate Anchor Chart Unit Rate Anchor Chart
Making Sense of Ratios
Ratio
Comparing two values of any kind.
3 : $33
"3 pizzas for $33"
Rate
A ratio comparing different units.
\[ \frac{\$33}{3 \text{ pizzas}} \]
Money & Food
Unit Rate
How much for exactly ONE?
\$33 / 3
$11
per pizza
per
each
for every 1
The Secret Calculation
Top Number
Numerator
\( \div \)
Bottom Number
Denominator
\( = \)
UNIT RATE
Pizza Rate Practice English Pizza Rate Showdown
Advanced Practice • Ratios & Unit Rates
Name:
Date:
Level 1
Slice Master (Decimals & Units)
Find the unit rate for each shop. Show your long division below.
Shop A: Crusty's
5 pizzas for $42.50
$ per pizza
Shop B: Dough Joe's
8 pizzas for $65.60
$ per pizza
Level 2
Topping Pro (Best Buy Comparisons)
Which store offers the better unit rate? Show your work for both.
Gourmet Garden
$110.00 for 8 pizzas
Family Pies
$162.00 for 12 pizzas
Conclusion: is cheaper by $ per pizza.
Level 3
Franchise Owner (The Bulk Deal Dilemma)
The Mayor is ordering exactly 30 pizzas for a city event. He has two options. Which one should he choose to save the most money?
Option A: Slice City
$14.00 per pizza
Special: "15% off orders of 25 pizzas or more!"
Option B: Pizza Palace
$12.50 per pizza
No bulk discounts available.
Show your multi-step calculations below:
1. What is the total cost for Option A? ______________
2. What is the effective unit rate (price per pizza) for Option A after the discount? ______________
3. Final Recommendation: Choose Option _____ to save a total of $__________.
Pizza Rate Practice Spanish Duelo de Precios de Pizza
Práctica Avanzada • Razones y Tasas Unitarias
Nombre:
Fecha:
Nivel 1
Maestro de Rebanadas (Decimales y Unidades)
Encuentra la tasa unitaria de cada tienda. Muestra tu división larga a continuación.
Tienda A: Crusty's
5 pizzas por $42.50
$ por pizza
Tienda B: Dough Joe's
8 pizzas por $65.60
$ por pizza
Nivel 2
Profesional de Ingredientes (Comparaciones de Mejor Compra)
¿Qué tienda ofrece la mejor tasa unitaria? Muestra tu trabajo para ambas.
Gourmet Garden
$110.00 por 8 pizzas
Family Pies
$162.00 por 12 pizzas
Conclusión: es más barato por $ por pizza.
Nivel 3
Dueño de Franquicia (El Dilema de la Compra al por Mayor)
El Alcalde está pidiendo exactamente 30 pizzas para un evento de la ciudad. Tiene dos opciones. ¿Cuál debería elegir para ahorrar la mayor cantidad de dinero?
Opción A: Slice City
$14.00 por pizza
Especial: "¡15% de descuento en pedidos de 25 pizzas o más!"
Opción B: Pizza Palace
$12.50 por pizza
No hay descuentos por volumen disponibles.
Muestra tus cálculos de varios pasos a continuación:
1. ¿Cuál es el costo total de la Opción A? ______________
2. ¿Cuál es la tasa unitaria efectiva (precio por pizza) de la Opción A después del descuento? ______________
3. Recomendación final: Elija la Opción _____ para ahorrar un total de $__________.
Pizza Rate Exit Ticket English Exit Ticket: Unit Rate Check
Name: ______________________
Date: ______________________
Mild
1. A pack of 6 gourmet soda bottles costs $23.40. What is the unit rate per bottle?
Answer: $__________ per bottle
Medium
2. Shop A: 4 pizzas for $58.00. Shop B: 5 pizzas for $71.25. Which shop has the lower unit rate?
Answer: Shop __________ is cheaper by $__________ / pizza
Spicy
3. A "Party Bundle" costs $150.00 and includes 10 pizzas and 6 sodas. If a soda costs $2.50 individually, what is the unit rate of a single pizza within the bundle?
Self-Assessment:
I'm lost
I need help
I've got it!
Pizza Rate Exit Ticket Spanish Boleto de Salida: Tasas Unitarias
Nombre: ______________________
Fecha: ______________________
Suave
1. Un paquete de 6 botellas de refresco gourmet cuesta $23.40. ¿Cuál es la tasa unitaria por botella?
Respuesta: $__________ por botella
Medio
2. Tienda A: 4 pizzas por $58.00. Tienda B: 5 pizzas por $71.25. ¿Qué tienda tiene la tasa unitaria más baja?
Respuesta: La tienda __________ es más barata por $__________ / pizza
Picante
3. Un "Paquete de Fiesta" cuesta $150.00 e incluye 10 pizzas y 6 refrescos. Si un refresco cuesta $2.50 individualmente, ¿cuál es la tasa unitaria de una sola pizza dentro del paquete?
Autoevaluación:
Estoy perdido
Necesito ayuda
¡Lo entiendo!
Pizza Rate Answer Key Answer Key (Advanced)
Pizza Rate Showdown • Grade 6
Teacher Use Only
Practice Sheet Solutions
Level 1: Slice Master
Crusty's: $42.50 / 5 = $8.50Dough Joe's: $65.60 / 8 = $8.20
Level 2: Topping Pro
Gourmet Garden: $110 / 8 = $13.75Family Pies: $162 / 12 = $13.50Cheaper: Family Pies by $0.25
Level 3: Franchise Owner
Option A: Slice City
Subtotal: 30 * $14 = $420
Discount (15%): $420 * 0.15 = $63
Total: $420 - $63 = $357.00
Effective Rate: $357 / 30 = $11.90
Option B: Pizza Palace
Total: 30 * $12.50 = $375.00
Effective Rate: $12.50
Final Choice: Option A • Total Savings: $375 - $357 = $18.00
Exit Ticket Solutions
MILD:
$23.40 / 6 = $3.90 per bottle
MEDIUM:
A ($14.50) vs B ($14.25). Shop B is cheaper by $0.25
SPICY:
6 sodas * $2.50 = $15.00
$150.00 - $15.00 = $135.00 (Total for pizzas)
$135.00 / 10 pizzas = $13.50 per pizza
