6.AT.3c Lesson 3-10-part2 Apply Day · Set B
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3.10 · Part II

Second Practice Form · Independent Application and Spiral Review

Convert Measurement Units · Conversion Factor

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■ ADVANCED CONCEPT ANCHOR: 3.10 · Part II
1Dimensional Analysis & Unit Conversions
2The Structural Procedure
  1. Write the given measurement as a fraction over 1
  2. Multiply by conversion ratios arranged so unwanted units cancel diagonally
  3. Multiply numerators, multiply denominators, and simplify the remaining unit
3Mathematical Word Bank
  • Convert Measurement Units (Convertir unidades de medida) — Rename a measurement in a different unit without changing its amount.
  • Conversion Factor (Factor de conversión) — A ratio that helps you change one unit into another.
  • Unit (Unidad) — A standard amount used to measure, like an inch or a liter.
  • Equivalent (Equivalente) — Having the same value, just in different units.
  • Ratio (Razón) — A way to compare two amounts, like 3 to 2.
  • Customary units (Unidades usuales (sistema inglés)) — The U.S. way of measuring, like inches, feet, and pounds.
4Watch out
  • A common mistake in Convert Measurement Units is applying the conversion factor in the wrong direction — for example, converting 4 feet to inches by dividing (4 ÷ 12 = 0.33 inches) instead of multiplying (4 × 12 = 48 inches), or converting 80 ounces to pounds by multiplying (80 × 16 = 1,280 pounds) instead of dividing (80 ÷ 16 = 5 pounds). Before you answer, ask: am I changing to a SMALLER unit (there will be MORE of them, so multiply) or a BIGGER unit (there will be FEWER of them, so divide)?
SECTION 1 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 1 MULTIPLE CHOICE

    (Lesson 3.5) Chef A uses 2 cups of cheese for every 8 crackers. Chef B uses 3 cups of cheese for every 9 crackers. Who uses more cheese per cracker?

    1. AChef B
    2. BChef A
    3. CThey use the same amount
    4. DCannot determine
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    (Lesson 3.5) Which ratio is greater: 3:4 or 5:8?

    1. A3:4
    2. B5:8
    3. CThey are equal
    4. DCannot determine
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    Leg 3: The coin box weighs 5 pounds, but the shipping label needs the weight in ounces. How many ounces is that? (1 lb = 16 oz)

    1. A80 ounces
    2. B21 ounces
    3. C75 ounces
    4. D16 ounces
    ✏️ Workspace & Solution Steps
  4. 4 MULTIPLE CHOICE

    How many inches are in 7 feet?

    1. A84 inches
    2. B72 inches
    3. C70 inches
    4. D96 inches
    ✏️ Workspace & Solution Steps
  5. 5 MULTIPLE CHOICE

    How many feet are in 3 yards?

    1. A9 feet
    2. B6 feet
    3. C12 feet
    4. D36 feet
    ✏️ Workspace & Solution Steps
  6. 6 MULTIPLE CHOICE

    How many ounces are in 4 pounds?

    1. A64 ounces
    2. B48 ounces
    3. C32 ounces
    4. D16 ounces
    ✏️ Workspace & Solution Steps
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 7 OPEN RESPONSE

    A recipe says you need 5 feet of ribbon, but the store only sells ribbon in inches. Another recipe says you need 2 yards of fabric, but your ruler measures in feet. Convert both measurements and explain the steps you used. Which conversion factor did you use each time?

    ✏️ 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