6.AT.2 Lesson 3-8-part2 Apply Day · Version A
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

3.8 · Part II

Supported Application · Guided Entry to Today's Problem

Unit Rate Problem Solving · Unit Rate

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: 3.8 · Part II
1Solving Problems with Unit Rates
2Strategy Model — step by step
  1. Find the unit rate by dividing total cost by quantity
  2. Compare unit rates to determine the best deal
  3. Multiply unit rate by desired quantity to calculate total cost
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.
  1. 1 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
  2. 2 MULTIPLE CHOICE

    (Lesson 3.10) How many inches are in 7 feet?

    1. A84 inches
    2. B72 inches
    3. C70 inches
    4. D96 inches
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    (Lesson 3.10) How many feet are in 3 yards?

    1. A9 feet
    2. B6 feet
    3. C12 feet
    4. D36 feet
    ✏️ Workspace & Solution Steps
📐 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
6.AT.2 Lesson 3-8-part2 Apply Day · Version B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

3.8 · Part II

On-Level Application · Standard Rigor

Unit Rate Problem Solving · Unit Rate

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 3.8 · Part II
1Solving Problems with Unit Rates
2The Structural Procedure
  1. Find the unit rate by dividing total cost by quantity
  2. Compare unit rates to determine the best deal
  3. Multiply unit rate by desired quantity to calculate total cost
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.
  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
📐 CER MATHEMATICAL PROOF MATRIX (CER 2.0) SMP.3 / Proof & Justification

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

C Claim
State your direct mathematical answer/claim with units.
E Evidence
Cite exact numbers, calculations, dimensions, or graph data.
R Reasoning
Explain the mathematical theorem, property, or definition connecting evidence to claim.
Student Mastery Self-Assessment:
1 · Need More Support
2 · Getting Closer
3 · Got It / Solid
4 · Master / Can Teach It
6.AT.2 Lesson 3-8-part2 Apply Day · Challenge
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

3.8 · Part II

Extension & Non-Routine Application

Unit Rate Problem Solving · Unit Rate

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 3.8 · Part II
1Solving Problems with Unit Rates
2The Structural Procedure
  1. Find the unit rate by dividing total cost by quantity
  2. Compare unit rates to determine the best deal
  3. Multiply unit rate by desired quantity to calculate total cost
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 store sells 8 notebooks for $20. At the same unit price, what is the cost of 14 notebooks?

    1. A$35.00
    2. B$28.00
    3. C$26.00
    4. D$40.00
    ✏️ Workspace & Solution Steps
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 2 OPEN RESPONSE

    Two arcade supply companies offer token deals. Company X: 300 tokens for $36. Company Y: 500 tokens for $55. The arcade needs 1,000 tokens. Find the unit rate for each company, determine which is cheaper per token, and calculate the total cost of buying 1,000 tokens from the better deal.

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

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

C Claim
State your direct mathematical answer/claim with units.
E Evidence
Cite exact numbers, calculations, dimensions, or graph data.
R Reasoning
Explain the mathematical theorem, property, or definition connecting evidence to claim.
Student Mastery Self-Assessment:
1 · Need More Support
2 · Getting Closer
3 · Got It / Solid
4 · Master / Can Teach It