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

3.8 Small Group · Group 1

Tier 2 Intervention · Concrete-Representational-Abstract (CRA) · Dual-Language Anchors

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 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 FILL TABLE

    Find the unit rate for each deal to determine which is cheaper.

    ItemDealUnit Rate
    Erasers Pack A
    Erasers Pack B
    Erasers Pack C
    ✏️ Scratchpad / Reasoning
  2. 2 FILL TABLE

    Find the unit rate for each deal and identify the better buy.

    OptionDealUnit Rate
    Store A Batteries
    Store B Batteries
    Store A Candy
    Store B Candy
    ✏️ Scratchpad / Reasoning
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 3 MULTIPLE CHOICE

    Which is the better buy: 6 bouncy balls for $4.50 or 10 bouncy balls for $8.00?

    1. A6 for $4.50 — $0.75 each
    2. B10 for $8.00 — $0.80 each
    3. CThey cost the same per ball
    4. DNot enough information
    ✏️ Workspace & Solution Steps
  2. 4 MULTIPLE CHOICE

    A faucet drips 15 ounces of water in 5 minutes. What is the unit rate?

    1. A3 ounces per minute
    2. B5 ounces per minute
    3. C15 ounces per minute
    4. D0.33 ounces per minute
    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?
  3. 5 MULTIPLE CHOICE

    A printer prints 42 pages in 6 minutes. How many pages does it print in 15 minutes at the same rate?

    1. A105 pages
    2. B90 pages
    3. C70 pages
    4. D120 pages
    ✏️ Workspace & Solution Steps
  4. 6 MULTIPLE CHOICE

    Store A sells 5 notebooks for $8. Store B sells 3 notebooks for $5.25. Which has the lower price per notebook?

    1. AStore A ($1.60 each)
    2. BStore B ($1.75 each)
    3. CSame price
    4. DCannot determine
    ✏️ Workspace & Solution Steps
🗣️ MATHEMATICAL DISCOURSE & TALK MOVES SMP.3 / Construct Viable Arguments

Group Discussion Prompt: How does your visual model justify your mathematical solution?

🗣️ Partner A:
Partner A: "I modeled this by identifying the relationship and..."
👂 Partner B:
Partner B: "I agree with your step because the standard mathematical rule states..."
✍️ The Writing Revolution (TWR) · Sentence Expansion Because · But · So

Complete each sentence stem to demonstrate precise mathematical reasoning:

BECAUSE The ratio remains equivalent because both quantities are scaled by the exact same multiplicative factor.
BUT Two ratios may look similar, but inverting the order of terms fundamentally changes the comparison.
SO The recipe requires 3 parts flour to 2 parts water, so the unit rate is 1.5 cups of flour per cup of water.
📐 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