6.NOS.1 Lesson 6-11-part2 Apply Day · Set B
MASTERY CHECK
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6.11 · Part II

Second Practice Form · Independent Application and Spiral Review

Fraction Division Problem Solving · Model

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 6.11 · Part II
1Fraction Division Word Problems
2The Structural Procedure
  1. Identify the Dividend (total amount being split or shared)
  2. Identify the Divisor (size of each group or part)
  3. Divide: Total ÷ Size = Number of Groups (or Total ÷ Groups = Size per Group)
3Mathematical Word Bank
  • Fraction Division Problem Solving (Resolución de problemas de división de fracciones) — Use fraction division to find an unknown number of groups or the size of each group.
  • Model (Modelo) — A picture or math way to show a problem so you can solve it.
  • Equation (Ecuación) — A math sentence with an equal sign showing both sides are the same.
  • Solution (Solución) — A number that makes the equation or inequality true.
  • Reasonableness (Razonabilidad) — Checking if your answer makes sense.
  • Inverse operations (Operaciones inversas) — Two math actions that undo each other, like × and ÷.
4Watch out
  • A common mistake in Fraction Division Problem Solving is reversing which fraction is the dividend and which is the divisor when setting up the equation from a word problem. For example: a pitcher holds 3/4 cup of punch, and each serving is 1/8 cup — how many servings? The correct setup is total ÷ group size = 3/4 ÷ 1/8 = 3/4 × 8/1 = 24/4 = 6 servings. A student who reverses the setup calculates 1/8 ÷ 3/4 = 1/8 × 4/3 = 4/24 = 1/6, an answer smaller than 1 that can't possibly be a serving count. Before you submit, check: does my answer make sense as a NUMBER OF GROUPS? If the setup gives a fraction less than 1 for a 'how many' question, you likely swapped the dividend and divisor.
SECTION 1 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 1 MULTIPLE CHOICE

    Room 5 — Final Keypad: The vault key code equals the number of 3/10-liter vials Torres can fill from a 9/10-liter bottle of fingerprint solution. What is the code?

    1. A3
    2. B9
    3. C1/3
    4. D6
    Rewrite each fraction
    Work it out
    Simplify
  2. 2 MULTIPLE CHOICE

    A ribbon is 4/5 of a yard long. Each bow uses 1/10 of a yard. Which equation finds how many bows can be made?

    1. A4/5 ÷ 1/10
    2. B1/10 ÷ 4/5
    3. C4/5 × 1/10
    4. D4/5 + 1/10
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    A detective has 1/2 gallon of solution. Each test uses 1/8 gallon. How many tests can be run?

    1. A4
    2. B1/16
    3. C16
    4. D1/4
    Rewrite each fraction
    Work it out
    Simplify
  4. 4 MULTIPLE CHOICE

    A trail is 3/4 mile long. A jogger runs laps of 1/4 mile each. How many laps does the jogger complete?

    1. A3 laps
    2. B1/3 lap
    3. C4 laps
    4. D3/16 lap
    Rewrite each fraction
    Work it out
    Simplify
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 5 OPEN RESPONSE

    Write your own fraction division word problem where the answer is 8. Then show the equation, solve it step by step, and explain how you know your answer is reasonable.

    ✏️ 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