6.AT.3 Lesson 3-6-part2 Apply Day · Set B
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3.6 · Part II

Second Practice Form · Independent Application and Spiral Review

Convert Measurements within the Same System · Conversion factor

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■ ADVANCED CONCEPT ANCHOR: 3.6 · Part II
1Converting Measurements (Same System)
2The Structural Procedure
  1. Identify the conversion factor (e.g. 1 ft = 12 in, 1 km = 1,000 m)
  2. Larger to smaller unit: Multiply by the conversion factor
  3. Smaller to larger unit: Divide by the conversion factor
3Mathematical Word Bank
  • Convert Measurements within the Same System (Convertir medidas dentro del mismo sistema) — Rewriting a measurement in a different unit of the SAME system, such as feet into inches or liters into milliliters.
  • Conversion factor (Factor de conversión) — The ratio that links two units in the same measurement system, such as 12 inches to 1 foot. Within one system it is exact.
  • Unit ratio (Razón unitaria) — A ratio that compares an amount to exactly 1 unit of another quantity, like 12 inches to 1 foot.
  • Convert (Convertir) — To change a measurement from one unit to another without changing how much it is.
  • Measurement system (Sistema de medidas) — A family of units that go together — customary units like inches and feet, or metric units like milliliters and liters.
  • Double number line (Recta numérica doble) — Two number lines lined up so matching tick marks show two units for the same amount.
4Watch out
  • A common mistake when converting within a measurement system is choosing the operation by habit instead of by unit size — multiplying every time. Converting 36 inches to feet by multiplying gives 36 × 12 = 432 feet, taller than a 40-story building. Ask first which unit is smaller: it takes MORE small units to make the same amount, so going to a smaller unit multiplies, and going to a larger unit divides.
  1. 1 MULTIPLE CHOICE

    How many liters is 2,000 milliliters?

    1. A2 L
    2. B2,000 L
    3. C200 L
    4. D20 L
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    Which pair belongs to the SAME measurement system?

    1. ACups and quarts
    2. BInches and centimeters
    3. CPounds and grams
    4. DLiters and gallons
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    A shelf is 5 feet long. A row of books measures 58 inches. Which is longer, and by how much?

    1. AThe shelf, by 2 inches
    2. BThe books, by 53 inches
    3. CThe books, by 2 inches
    4. DThey are the same length
    ✏️ Workspace & Solution Steps
  4. 4 MULTIPLE CHOICE

    There are 12 inches in 1 foot. How many inches are in 5 feet?

    1. A60 inches
    2. B17 inches
    3. C7 inches
    4. D50 inches
    ✏️ Workspace & Solution Steps
  5. 5 MULTIPLE CHOICE

    There are 1,000 milliliters in 1 liter. How many milliliters are in 3 liters?

    1. A3,000 mL
    2. B1,003 mL
    3. C300 mL
    4. D30 mL
    ✏️ Workspace & Solution Steps
  6. 6 MULTIPLE CHOICE

    There are 16 ounces in 1 pound. How many pounds is 48 ounces?

    1. A3 pounds
    2. B64 pounds
    3. C768 pounds
    4. D32 pounds
    ✏️ 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