6.NOS.1 Lesson 6-1-part2 Apply Day · Set B
MASTERY CHECK
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6.1 · Part II

Second Practice Form · Independent Application and Spiral Review

Division of Fractions · Reciprocal

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 6.1 · Part II
1Dividing Whole Numbers & Unit Fractions
2The Structural Procedure
  1. Put a 1 under the whole number: 3 ÷ 1/4 = 3/1 ÷ 1/4
  2. Keep, Change, Flip: 3/1 ÷ 1/4 = 3/1 × 4/1
  3. Multiply across: 3/1 × 4/1 = 12/1 = 12
3Mathematical Word Bank
  • Division of Fractions (División de fracciones) — Finding how many groups of one fraction fit inside another amount.
  • Reciprocal (Recíproco) — A fraction turned upside down.
  • Quotient (Cociente) — The answer when you divide.
  • Dividend (Dividendo) — The total number being divided into equal groups (the number inside the division bracket).
  • Divisor (Divisor) — The number of equal groups you are dividing into (the number outside the division bracket).
  • Unit fraction (Fracción unitaria) — A fraction with 1 on top, like 1/4.
4Watch out
  • A common mistake in Interpret Division of Fractions is assuming that dividing always makes the answer smaller. For 4 ÷ 1/3, students reason 'dividing shrinks the number' and compute 4 ÷ 3 ≈ 1.3 instead of asking how many 1/3-foot pieces fit into 4 feet (each whole foot holds 3 thirds, so 4 × 3 = 12). Before you submit, check: if the divisor is a fraction smaller than 1, the quotient must be BIGGER than the dividend, not smaller.
SECTION 1 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 MULTIPLE CHOICE

    What does 3 ÷ 1/4 mean?

    1. AHow many 1/4-size pieces fit into 3
    2. B3 groups of 1/4
    3. C3 minus 1/4
    4. D1/4 of 3
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    Which expression means 'how many 1/3-size pieces are in 2'?

    1. A2 ÷ 1/3
    2. B2 × 1/3
    3. C1/3 ÷ 2
    4. D2 + 1/3
    ✏️ Workspace & Solution Steps
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 3 MULTIPLE CHOICE

    Picture clue: a 5-inch fingerprint strip is split into 1/6-inch slivers under the microscope. Which division does the picture show, and what is the count?

    1. A5 ÷ 1/6 = 30 slivers
    2. B5 ÷ 6 = 5/6 of a sliver
    3. C1/6 ÷ 5 = 1/30 sliver
    4. D5 × 1/6 = 5/6 of an inch
    ✏️ Workspace & Solution Steps
  2. 4 MULTIPLE CHOICE

    A rope is 4 feet long. How many 1/2-foot pieces can be cut from it?

    1. A8 pieces
    2. B2 pieces
    3. C4 pieces
    4. D1/2 piece
    Write any whole number over 1
    Keep · Change · Flip
    Multiply across
    Simplify · label the units
SECTION 3 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 5 OPEN RESPONSE

    Dividing 6 by 1/2 gives 12, but dividing 6 by 2 gives 3. How can dividing by a smaller number (1/2) give a bigger answer than dividing by a larger number (2)? Explain using a real-world example.

    ✏️ 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