Step 1
A unit rate is per 1
A unit rate tells how much of one quantity there is for exactly 1 of another quantity.
👀 $8 for 4 notebooks = $2 for 1 notebook
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Grade 6 · Maths · Lesson 1.4
Unit Rates and Best Buy Decisions
Find the price per 1 item to compare deals and make smart buying decisions.
CCSS.MATH.CONTENT.6.RP.A.2CCSS.MATH.CONTENT.6.RP.A.3
Lesson Mission
How can a unit rate help us compare prices fairly?
⚖️ MATH-G6-RP01 · Ratios, Unit Rates, and Proportional Relationships
✅ I can calculate a unit rate by dividing.
✅ I can compare prices per 1 item.
✅ I can explain which deal is better using evidence.
AI Learning Helper
Grade 6 Teacher
Helping with: Unit Rates and Best Buy Decisions
MATH-G6-RP01 · The Ratio Balance Lab
Teacher Welcome
Hi, I am your Grade 6 Math Coach. Today we are working inside MATH-G6-RP01: Ratios, Unit Rates, and Proportional Relationships. I will help you understand Unit Rates and Best Buy Decisions by focusing on finding and comparing price unit rates.
Teacher Response
Guided Hint
What is the total cost?
Ask for a Specific Hint
Teacher Tip
Read the problem, identify the quantities, choose a model, and explain each step. This skill matters because Families use unit rates to compare grocery prices, school supplies, gas mileage, subscriptions, and tickets.
Common Mistake Alert
Do not compare total prices only. A larger package can cost more total but less per item.
Student Question Box
Helper Suggestion
Type a question above. The helper will guide the student toward the first step without giving away the answer immediately.
Challenge Prompt
Find two grocery items at home and compare their unit prices.
Warm-Up
Think First
A pack of 4 notebooks costs $8. What is the cost per notebook?
Show expected answer
$8 ÷ 4 = $2 per notebook.
Vocabulary
Key Words
Ratio
A comparison of two quantities by division, written as a:b, a to b, or a/b.
Equivalent ratios
Ratios that compare quantities in the same relationship, even if the numbers are different.
Unit rate
A rate that compares a quantity to exactly 1 unit of another quantity.
Proportional relationship
A relationship where two quantities increase or decrease by the same constant factor.
Tape diagram
A visual model that uses equal-sized parts to show ratio relationships.
Real-World Connection
Why This Matters
Families use unit rates to compare grocery prices, school supplies, gas mileage, subscriptions, and tickets.
Mini Lesson
Learn the Concept
Step 2
Divide total by number of units
To find price per item, divide the total cost by the number of items.
👀 cost ÷ items = cost per item
Step 3
Lower price per item is usually the better buy
When comparing the same item, the smaller unit price costs less.
Interactive Practice
Practice, Build, Simulate, Explain
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Activity 1 · unit-rate-comparison
Notebook Best Buy
Compare the cost per notebook for two school supply packs.
15 ptsNot checked
💡 Divide each total by the number of units to find the amount per 1 unit.
Pack A
12 dollars ÷ 6 notebooks
2 dollars per 1 notebook
Pack B
15 dollars ÷ 10 notebooks
1.5 dollars per 1 notebook
Show comparison answer
Pack B is the better buy.
Pack A costs $12 ÷ 6 = $2 per notebook. Pack B costs $15 ÷ 10 = $1.50 per notebook, so Pack B is cheaper per notebook.
Activity 2 · numeric-input
Pencil Pack Unit Rate
A pack of 24 pencils costs $6. What is the cost per pencil in cents?
10 ptsNot checked
💡 Type the number only unless the question asks for a unit.
Unit: cents
Activity 3 · multiple-choice
Movie Ticket Unit Price
Four movie tickets cost $48. What is the unit rate?
10 ptsNot checked
💡 Choose the answer that correctly represents the ratio relationship.