6.NOS.1 Lesson 6-10-part2 Apply Day · Practice
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6.10 · Part II

Application Practice for Today's Problem

Divide Mixed Numbers · Mixed Number

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Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: 6.10 · Part II
1Dividing Mixed Numbers
2Strategy Model — step by step
  1. Convert all mixed numbers into improper fractions
  2. Apply Keep, Change, Flip: Multiply by the reciprocal of the divisor
  3. Multiply across, simplify, and convert back to mixed number if needed
3Mathematical Word Bank
  • Divide Mixed Numbers (Dividir números mixtos) — Change mixed numbers to improper fractions, then multiply by the reciprocal.
  • Mixed Number (Número mixto) — A whole number plus a fraction, like 2 1/3.
  • Improper Fraction (Fracción impropia) — A fraction where the top is bigger than or equal to the bottom, like 7/4.
  • Convert (Convertir) — To change a number to a new form but keep the same value.
  • Simplify (Simplificar) — To write a fraction with smaller numbers that names the same amount, like 2/4 = 1/2.
  • Reciprocal (Recíproco) — A fraction turned upside down. You use it in keep-change-flip.
4Watch out
  • A common mistake in Divide Mixed Numbers is dividing the whole-number parts and fraction parts separately instead of converting first — for example, treating 4 1/2 ÷ 1 1/2 as (4 ÷ 1) + (1/2 ÷ 1/2) = 5. Always convert each mixed number to one improper fraction first, then divide using Keep, Change, Flip: 4 1/2 ÷ 1 1/2 = 9/2 ÷ 3/2 = 9/2 × 2/3 = 3.
SECTION 1 COMPUTATION & PROCEDURAL FLUENCY [Show Every Step]
  1. 1 MULTIPLE CHOICE

    What is 3 1/2 ÷ 1/4?

    1. A14
    2. B3 1/8
    3. C7/8
    4. D13/4
    ✏️ Workspace & Solution Steps
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 2 MULTIPLE CHOICE

    A baker has 2 1/4 cups of butter. Each batch of cookies needs 3/4 cup of butter. How many batches can the baker make?

    1. A3 batches
    2. B1 1/2 batches
    3. C2 batches
    4. D6 batches
    ✏️ Workspace & Solution Steps
  2. 3 MULTIPLE CHOICE

    Mission 1: The stakeout shift is 4 1/2 hours long. Each agent covers a 1 1/2-hour watch. How many agent watches fill one shift?

    1. A3
    2. B6
    3. C2 1/2
    4. D4 1/2
    ✏️ Workspace & Solution Steps
  3. 4 MULTIPLE CHOICE

    Mission 2: A surveillance route is 3 miles long, split into 1 1/2-mile patrol sections. How many sections are on the route?

    1. A2
    2. B1 1/2
    3. C4 1/2
    4. D3
    ✏️ Workspace & Solution Steps
  4. 5 MULTIPLE CHOICE

    Mission 3: There are 7 1/2 feet of caution tape to seal a crime scene. Each doorway needs 2 1/2 feet. How many doorways can be sealed?

    1. A3
    2. B5
    3. C2 1/2
    4. D10
    ✏️ 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