6.AT.2 Lesson 3-8-group1 🟡 Group 1 · Set B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

3.8 Small Group · Group 1

Second Practice Form · Re-Teach, Homework or Retake · Same Standard, New Problems

Unit Rate Problem Solving · Unit Rate · Procedural Fluency · Real-World Applications

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: Let's build it together — How do I use unit rates to find the better buy?
1Divide the price by the number of items to get the cost per unit. The lower cost per unit is the better buy.
  • A unit rate is the cost for just 1 item, like the price per token. When packages have different sizes, the unit rate lets you compare them fairly. We'll walk through a worked example, try one together, then you'll try a few with hints right there when you need them.
2Worked Example — Watch me
  1. Fun Supply Co. sells 500 tokens for $60. I want the cost for 1 token.
  2. I divide the price by the tokens: $60 ÷ 500 = $0.12.
  3. So this deal is $0.12 per token. That is the unit rate.
  4. Now I can compare it fairly to a deal with a different number of tokens.
3Mathematical Word Bank
  • Unit Rate Problem Solving (Resolución de problemas con tasas unitarias) — Find an amount per 1 unit and use it to compare choices or solve a problem.
  • Unit Rate (Tasa unitaria) — A rate for just 1 of something, like cost for 1 item.
  • Better Buy (Mejor compra) — The choice that costs less for each item.
  • Comparison (Comparación) — Looking at two or more amounts to see how they are related.
  • Per Unit (Por unidad) — For each single item.
  • Rate (Tasa) — A ratio comparing two amounts with different units, like miles per hour.
4Watch out
  • A common mistake in Solve Problems with Unit Rates is comparing the total prices instead of the cost per item — the deal with the smaller total can still cost more per unit. Always reduce each option to its unit rate before you decide, then pick the lower one.
SECTION 1 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 1 MULTIPLE CHOICE

    A machine dispenses 24 tokens in 3 minutes. At this rate, how many tokens does it dispense in 10 minutes?

    1. A80 tokens
    2. B60 tokens
    3. C72 tokens
    4. D240 tokens
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    A factory produces 360 widgets in 8 hours. At the same rate, how many widgets are produced in a 12-hour shift?

    1. A540 widgets
    2. B480 widgets
    3. C360 widgets
    4. D720 widgets
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    The snack bar compares two popcorn deals: 12 oz for $3.00 or 20 oz for $4.00. Which is the better buy?

    1. A20 oz for $4.00 — $0.20 per oz
    2. B12 oz for $3.00 — $0.25 per oz
    3. CThey cost the same per ounce
    4. DNot enough information
    ✏️ Workspace & Solution Steps
  4. 4 MULTIPLE CHOICE

    The delivery van brings arcade supplies 150 miles in 3 hours. What is the unit rate in miles per hour?

    1. A50 miles per hour
    2. B45 miles per hour
    3. C153 miles per hour
    4. D30 miles per hour
    per 1
    1. 1LabelWrite what each column is.
    2. 2Find per 1Divide to get one.
    3. 3ScaleMultiply up to what is asked.
    4. 4CheckDoes the size make sense?
  5. 5 MULTIPLE CHOICE

    The ticket counter sells redemption tickets two ways: 8 tickets for $2.00 or 15 tickets for $3.00. Which costs less per ticket?

    1. A15 tickets for $3.00 — $0.20 each
    2. B8 tickets for $2.00 — $0.25 each
    3. CThey cost the same per ticket
    4. DCannot determine
    ✏️ Workspace & Solution Steps
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 6 ERROR ANALYSIS

    Spot the Common Mistake

    1. 1Read:Which gum deal is the better buy: 4 packs for $2.00 or 10 packs for $4.50?
    2. 2Attempt:A student says: "$2.00 is less than $4.50, so 4 packs for $2.00 is the better buy."
    3. 3Check:The student compared the total prices instead of the cost for one pack.

    Which step contains the error? Explain the mathematical misconception and write the correct calculation below.

    ✏️ Corrected Mathematical Work & Explanation
📐 CER MATHEMATICAL PROOF MATRIX (CER 2.0) SMP.3 / Proof & Justification

Writing Task: Justify why your mathematical solution is accurate and complete.

C Claim
Starter: My mathematical claim is that the solution is...
E Evidence
Starter: The evidence from the model/table demonstrates that...
R Reasoning
Starter: This proves my answer because the standard mathematical definition of...
Student Mastery Self-Assessment:
1 · Need More Support
2 · Getting Closer
3 · Got It / Solid
4 · Master / Can Teach It