6.AT.3c Lesson 3-10-group1 🟡 Group 1 · Set B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

3.10 Small Group · Group 1

Second Practice Form · Re-Teach, Homework or Retake · Same Standard, New Problems

Convert Measurement Units · Conversion Factor · Procedural Fluency · Reasoning & Critique

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: Let's build it together — How do I change one measurement unit into another?
1Multiply when changing to a smaller unit, and divide when changing to a bigger unit.
  • A unit is a standard amount used to measure, like a foot or an inch. A conversion factor is a ratio that relates two units, like 1 foot = 12 inches. 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. The cabinet is 5 feet tall. I want to know how many inches that is.
  2. My conversion factor is 1 foot = 12 inches.
  3. Inches are smaller than feet, so I multiply: 5 × 12 = 60.
  4. So 5 feet = 60 inches.
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

    A shelf is 30 inches long. How many feet and inches is that?

    1. A2 feet 6 inches
    2. B3 feet 0 inches
    3. C2 feet 8 inches
    4. D1 foot 18 inches
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    Leg 1: The joystick rod is 3 feet long, but the parts catalog lists it in inches. How many inches is that? (1 ft = 12 in)

    1. A36 inches
    2. B15 inches
    3. C30 inches
    4. D33 inches
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    Leg 2: A power cable on the cabinet plan measures 2.5 kilometers across the whole arcade network. How many meters is that? (1 km = 1,000 m)

    1. A2,500 meters
    2. B250 meters
    3. C25 meters
    4. D25,000 meters
    ✏️ Workspace & Solution Steps
  4. 4 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
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 5 ERROR ANALYSIS

    Spot the Common Mistake

    1. 1Convert 2 yards of rope to feet:2 yards → feet
    2. 2Use the conversion factor:1 yard = 3 feet
    3. 3Operate:2 ÷ 3 = 0.67 feet
    4. 4Final answer:2 yards ≈ 0.67 feet

    Which step contains the error? Explain the mathematical misconception and write the correct calculation below.

    ✏️ Corrected Mathematical Work & Explanation
  2. 6 ERROR ANALYSIS

    Level 2 Extension — Multiply or Divide?

    1. 1Convert 4 feet of side panel to inches:4 feet → inches
    2. 2Use the conversion factor:1 foot = 12 inches
    3. 3Operate:4 ÷ 12 = 0.33 inches
    4. 4Final answer:4 feet ≈ 0.33 inches

    Which step contains the error? Explain the mathematical misconception and write the correct calculation below.

    ✏️ Corrected Mathematical Work & Explanation
📐 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