6.AT.3c Lesson 3-10-part2 Apply Day · Version A
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

3.10 · Part II

Supported Application · Guided Entry to Today's Problem

Convert Measurement Units · Conversion Factor

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: 3.10 · Part II
1Dimensional Analysis & Unit Conversions
2Strategy Model — step by step
  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)?
  1. 1 MULTIPLE CHOICE

    Convert 24 inches to feet.

    1. A2 feet
    2. B3 feet
    3. C12 feet
    4. D24 feet
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    (Lesson 3.4) A ratio table shows (2, 6), (4, 12), and (6, 18). Which ordered pair comes next if the pattern continues?

    1. A(8, 24)
    2. B(7, 20)
    3. C(8, 22)
    4. D(10, 24)
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    (Lesson 3.4) When you graph equivalent ratios, the points will always form what shape?

    1. AA straight line through the origin
    2. BA curved line
    3. CA zigzag
    4. DA circle
    ✏️ 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.3c Lesson 3-10-part2 Apply Day · Version B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

3.10 · Part II

On-Level Application · Standard Rigor

Convert Measurement Units · Conversion Factor

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ 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)?
  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
📐 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.3c Lesson 3-10-part2 Apply Day · Challenge
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

3.10 · Part II

Extension & Non-Routine Application

Convert Measurement Units · Conversion Factor

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ 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)?
  1. 1 MULTIPLE CHOICE

    Convert 3 hours to seconds using 1 hour = 60 minutes and 1 minute = 60 seconds.

    1. A10,800 seconds
    2. B180 seconds
    3. C3,600 seconds
    4. D120 seconds
    ✏️ 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