6.NOS.1 Lesson 6-2-part2 Apply Day · Version A
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

6.2 · Part II

Supported Application · Guided Entry to Today's Problem

Divide Fractions · Dividend

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: 6.2 · Part II
1Dividing Fractions Algorithm (Keep, Change, Flip)
2Strategy Model — step by step
  1. Keep the first fraction unchanged
  2. Change the division symbol (÷) to multiplication (×)
  3. Flip the second fraction to its reciprocal (d/c), then multiply across and simplify
3Mathematical Word Bank
  • Divide Fractions (Dividir fracciones) — Multiply the first fraction by the reciprocal of the second fraction.
  • 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).
  • Reciprocal (Recíproco) — A fraction turned upside down.
  • Quotient (Cociente) — The answer when you divide.
  • Simplify (Simplificar) — To write a fraction with smaller numbers that names the same amount, like 2/4 = 1/2.
4Watch out
  • A common mistake in Divide Fractions is flipping the wrong fraction: students flip the dividend (the first fraction) instead of the divisor (the second fraction). For example, solving 3/4 ÷ 5/8 by flipping 3/4 to 4/3 and keeping 5/8 gives 4/3 × 5/8 = 20/24 = 5/6 — but only the divisor gets flipped. Keep 3/4, change ÷ to ×, and flip only the divisor 5/8 to its reciprocal 8/5: 3/4 × 8/5 = 24/20 = 6/5. Before you submit, check that the fraction you kept (the dividend) is still facing the same way it started.
SECTION 1 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 MULTIPLE CHOICE

    (Lesson 6.1) 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
SECTION 2 COMPUTATION & PROCEDURAL FLUENCY [Show Every Step]
  1. 2 MULTIPLE CHOICE

    What is 2/3 ÷ 1/3?

    1. A2
    2. B2/9
    3. C1/2
    4. D6
    ✏️ Workspace & Solution Steps
SECTION 3 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 3 MULTIPLE CHOICE

    What is the first step in evaluating 2 1/2 ÷ 1/4?

    1. ARewrite 2 1/2 as the improper fraction 5/2
    2. BFlip 2 1/2 to 1/2 2
    3. CDivide 2 by 1/4 and ignore the half
    4. DAdd 2 + 1/2 + 1/4
    ✏️ 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.NOS.1 Lesson 6-2-part2 Apply Day · Version B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

6.2 · Part II

On-Level Application · Standard Rigor

Divide Fractions · Dividend

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 6.2 · Part II
1Dividing Fractions Algorithm (Keep, Change, Flip)
2The Structural Procedure
  1. Keep the first fraction unchanged
  2. Change the division symbol (÷) to multiplication (×)
  3. Flip the second fraction to its reciprocal (d/c), then multiply across and simplify
3Mathematical Word Bank
  • Divide Fractions (Dividir fracciones) — Multiply the first fraction by the reciprocal of the second fraction.
  • 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).
  • Reciprocal (Recíproco) — A fraction turned upside down.
  • Quotient (Cociente) — The answer when you divide.
  • Simplify (Simplificar) — To write a fraction with smaller numbers that names the same amount, like 2/4 = 1/2.
4Watch out
  • A common mistake in Divide Fractions is flipping the wrong fraction: students flip the dividend (the first fraction) instead of the divisor (the second fraction). For example, solving 3/4 ÷ 5/8 by flipping 3/4 to 4/3 and keeping 5/8 gives 4/3 × 5/8 = 20/24 = 5/6 — but only the divisor gets flipped. Keep 3/4, change ÷ to ×, and flip only the divisor 5/8 to its reciprocal 8/5: 3/4 × 8/5 = 24/20 = 6/5. Before you submit, check that the fraction you kept (the dividend) is still facing the same way it started.
SECTION 1 COMPUTATION & PROCEDURAL FLUENCY [Show Every Step]
  1. 1 MULTIPLE CHOICE

    What is 2/3 ÷ 1/3?

    1. A2
    2. B2/9
    3. C1/2
    4. D6
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    What is (3/4) ÷ (1/2)?

    1. A3/2
    2. B3/8
    3. C1/2
    4. D2/3
    Write any whole number over 1
    Keep · Change · Flip
    Multiply across
    Simplify · label the units
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 3 MULTIPLE CHOICE

    A recipe needs 2/3 cup of sugar. You only have a 1/6-cup scoop. How many scoops do you need?

    1. A4 scoops
    2. B3 scoops
    3. C6 scoops
    4. D2 scoops
    Rewrite each fraction
    Work it out
    Simplify
📐 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.NOS.1 Lesson 6-2-part2 Apply Day · Challenge
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

6.2 · Part II

Extension & Non-Routine Application

Divide Fractions · Dividend

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 6.2 · Part II
1Dividing Fractions Algorithm (Keep, Change, Flip)
2The Structural Procedure
  1. Keep the first fraction unchanged
  2. Change the division symbol (÷) to multiplication (×)
  3. Flip the second fraction to its reciprocal (d/c), then multiply across and simplify
3Mathematical Word Bank
  • Divide Fractions (Dividir fracciones) — Multiply the first fraction by the reciprocal of the second fraction.
  • 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).
  • Reciprocal (Recíproco) — A fraction turned upside down.
  • Quotient (Cociente) — The answer when you divide.
  • Simplify (Simplificar) — To write a fraction with smaller numbers that names the same amount, like 2/4 = 1/2.
4Watch out
  • A common mistake in Divide Fractions is flipping the wrong fraction: students flip the dividend (the first fraction) instead of the divisor (the second fraction). For example, solving 3/4 ÷ 5/8 by flipping 3/4 to 4/3 and keeping 5/8 gives 4/3 × 5/8 = 20/24 = 5/6 — but only the divisor gets flipped. Keep 3/4, change ÷ to ×, and flip only the divisor 5/8 to its reciprocal 8/5: 3/4 × 8/5 = 24/20 = 6/5. Before you submit, check that the fraction you kept (the dividend) is still facing the same way it started.
SECTION 1 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 1 MULTIPLE CHOICE

    What is the value of 2 1/4 ÷ 3/8?

    1. A6
    2. B2 2/3
    3. C27/32
    4. D1/6
    ✏️ Workspace & Solution Steps
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 2 OPEN RESPONSE

    Is 3/4 ÷ 1/2 the same as 1/2 ÷ 3/4? Solve both and explain why or why not. What does this tell you about the order in division?

    ✏️ 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