6.NOS.1 Lesson 6-9-group1 🟡 Group 1 · Set B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

6.9 Small Group · Group 1

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

Visual Models · Divide Whole Numbers by Fractions · Whole Number · Procedural Fluency

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: Let's build it together — How do I divide a whole number by a fraction?
1Dividing by a fraction is the same as multiplying by its reciprocal (the fraction flipped over).
  • To divide a whole number by a fraction, you can use Keep, Change, Flip: keep the first number, change divide to multiply, and flip the fraction upside down (its reciprocal). Then multiply. 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. Agent Park has 4 pounds of powder and each bag holds 1/2 pound. I want 4 ÷ 1/2.
  2. Keep the 4. Change ÷ to ×. Flip 1/2 to make 2/1, which is just 2.
  3. Now I multiply: 4 × 2 = 8.
  4. So 4 ÷ 1/2 = 8. He can fill 8 bags. That makes sense: each pound fills 2 bags, and 4 pounds × 2 = 8.
3Mathematical Word Bank
  • Divide Whole Numbers by Fractions (Dividir números enteros entre fracciones) — Find how many fractional groups fit in a whole number by multiplying by the reciprocal.
  • Whole Number (Número entero) — A counting number with no fraction or decimal, like 0, 1, 2, 3.
  • Fraction (Fracción) — A number that shows part of a whole, like 3/4.
  • Reciprocal (Recíproco) — A fraction turned upside down.
  • Keep, Change, Flip (Mantener, cambiar, invertir) — A way to divide fractions: keep the first, change ÷ to ×, flip the second.
  • Quotient (Cociente) — The answer when you divide.
4Watch out
  • A common mistake in Divide Whole Numbers by Fractions is doing 'Keep, Change' but skipping the 'Flip' — students multiply by the divisor as it is instead of by its reciprocal. For example, for 6 ÷ 3/4, a student might write 6 × 3/4 = 4 1/2 and stop there, but the divisor 3/4 must be flipped to 4/3 first: 6 × 4/3 = 24/3 = 8. Before you submit, check: did I flip the second fraction (the divisor) upside down before multiplying?
SECTION 1 COMPUTATION & PROCEDURAL FLUENCY [Show Every Step]
  1. 1 MULTIPLE CHOICE

    What is 6 ÷ 2/3?

    1. A9
    2. B4
    3. C12
    4. D2/18
    ✏️ Workspace & Solution Steps
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 2 MULTIPLE CHOICE

    Detective Park has 4 cups of flour. Each batch of evidence-cookies needs 1/2 cup. How many batches can he make?

    1. A8
    2. B2
    3. C4
    4. D6
    Rewrite each fraction
    Work it out
    Simplify
    1. 1Same size piecesCommon denominator first.
    2. 2OperateOnly then add or subtract.
    3. 3SimplifyDivide out common factors.
  2. 3 MULTIPLE CHOICE

    The crew has 8 quarts of sports drink. Each detective's water bottle holds 4/5 of a quart. How many bottles can be filled?

    1. A10
    2. B5
    3. C32/5
    4. D12
    Rewrite each fraction
    Work it out
    Simplify
    1. 1Same size piecesCommon denominator first.
    2. 2OperateOnly then add or subtract.
    3. 3SimplifyDivide out common factors.
  3. 4 MULTIPLE CHOICE

    There are 3 bags of trail mix. Each snack pouch needs 2/3 of a bag. How many full pouches can be filled, and is there a leftover?

    1. A4 1/2 pouches (4 full, half a pouch left)
    2. B4 pouches exactly
    3. C2 pouches
    4. D6 pouches
    ✏️ Workspace & Solution Steps
  4. 5 MULTIPLE CHOICE

    Detective Park bakes with 9 cups of batter. Each muffin pan holds 3/4 of a cup. How many pans can he fill?

    1. A12
    2. B6
    3. C27/4
    4. D9
    Rewrite each fraction
    Work it out
    Simplify
    1. 1Same size piecesCommon denominator first.
    2. 2OperateOnly then add or subtract.
    3. 3SimplifyDivide out common factors.
SECTION 3 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 6 ERROR ANALYSIS

    Spot the Common Mistake

    1. 1Problem:4 ÷ 1/5
    2. 2Keep, Change, Flip:Kept the 4 and changed ÷ to ×, but forgot to flip: 4 × 1/5
    3. 3Multiply:4 × 1/5 = 4/5

    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