6.AT.2 Lesson 3-2-part2 Apply Day · Set B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

3.2 · Part II

Second Practice Form · Independent Application and Spiral Review

Rates and Unit Rates · Rate

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 3.2 · Part II
1Rates & Unit Rates
2The Structural Procedure
  1. Rate: A ratio comparing two quantities with different units (e.g. $12 for 3 lbs)
  2. Unit Rate: A rate simplified to a denominator of 1 unit ($4 per 1 lb)
  3. Divide numerator by denominator to compute the per-one amount
3Mathematical Word Bank
  • Rates and Unit Rates (Tasas y tasas unitarias) — A rate compares different units; a unit rate compares a quantity to 1 unit.
  • Rate (Tasa) — A ratio comparing two amounts with different units, like miles per hour.
  • Unit Rate (Tasa unitaria) — A rate for just 1 of something, like cost for 1 item.
  • Per (Por) — For each one. Example: 5 dollars per book.
  • Ratio (Razón) — A way to compare two amounts, like 3 to 2.
  • Unit price (Precio unitario) — A unit rate that gives the cost of exactly 1 item, like $0.60 per game.
4Watch out
  • A common mistake in Rates and Unit Rates is comparing total costs instead of unit rates: a student sees Pack X at $4.00 for 10 tokens and Pack Y at $6.00 for 16 tokens and picks Pack X just because $4.00 is the smaller number, without dividing to find the cost per token ($0.40 for Pack X vs. $0.375 for Pack Y — Pack Y is actually the better buy). A second common mistake is dividing backwards — finding tokens ÷ cost instead of cost ÷ tokens — which turns 'dollars per token' into 'tokens per dollar' and gives an answer that looks reasonable but answers the wrong question. Always divide the total cost by the number of items, and check that your unit rate answers 'the cost for ONE item,' not the reverse.
  1. 1 MULTIPLE CHOICE

    Nova: 78 points in 6 min. Pulse: 75 points in 5 min. Which scores faster (more points per minute)?

    1. APulse, at 15 points per minute
    2. BNova, at 13 points per minute
    3. CThey score at the same rate
    4. DThere is not enough information
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    Machine A: 150 coins for 5 plays. Machine B: 168 coins for 8 plays. Which is the better value (fewer coins per play)?

    1. AMachine B, at 21 coins per play
    2. BMachine A, at 30 coins per play
    3. CThey are the same value
    4. DMachine A, because it costs fewer coins total
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    A booth charges $4.50 for 9 games. What is the unit rate?

    1. A$0.50 per game
    2. B$0.45 per game
    3. C$2.00 per game
    4. D$4.50 per game
    per 1
  4. 4 MULTIPLE CHOICE

    A car travels 180 miles using 6 gallons of gas. What is the unit rate in miles per gallon?

    1. A30 miles per gallon
    2. B6 miles per gallon
    3. C180 miles per gallon
    4. D36 miles per gallon
    per 1
  5. 5 MULTIPLE CHOICE

    A pack of 8 markers costs $6.00. What is the cost per marker?

    1. A$0.75
    2. B$0.80
    3. C$1.33
    4. D$0.60
    per 1
📐 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