6.AT.7 Lesson 6-14-part2 Apply Day · Version A
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

6.14 · Part II

Supported Application · Guided Entry to Today's Problem

The Distributive Property · Distributive Property

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: 6.14 · Part II
1The Distributive Property
2Strategy Model — step by step
  1. Expand: Multiply the outside factor by each term inside parentheses
  2. Factor: Find the GCF of terms and pull it outside: ab + ac = a(b + c)
  3. Visual: Represent as the area of partitioned rectangles
3Mathematical Word Bank
  • The Distributive Property (La propiedad distributiva) — Multiply a factor by every term inside parentheses.
  • Distributive Property (Propiedad distributiva) — Multiplying a number by everything inside the parentheses: a(b + c) = ab + ac.
  • Factor (Factor) — A factor of a whole number divides it evenly, with no remainder. For example, 3 is a factor of 12 because 12 ÷ 3 = 4.
  • Expand (Desarrollar) — To multiply out the parentheses in an expression.
  • Equivalent (Equivalente) — Expressions that always have the same value.
  • Coefficient (Coeficiente) — The number in front of a letter, like the 3 in 3x.
4Watch out
  • The most common mistake in The Distributive Property is multiplying the outside factor by only the FIRST term inside the parentheses and forgetting the second — for example, writing 3(x + 4) = 3x + 4 instead of 3x + 12. Before you submit, check: did the outside number reach BOTH terms inside the parentheses?
  1. 1 MULTIPLE CHOICE

    When using the distributive property with a(b + c), you must multiply 'a' by:

    1. AOnly b
    2. BOnly c
    3. Cb + c first, then multiply
    4. DBoth b and c
    ✏️ 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.AT.7 Lesson 6-14-part2 Apply Day · Version B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

6.14 · Part II

On-Level Application · Standard Rigor

The Distributive Property · Distributive Property

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 6.14 · Part II
1The Distributive Property
2The Structural Procedure
  1. Expand: Multiply the outside factor by each term inside parentheses
  2. Factor: Find the GCF of terms and pull it outside: ab + ac = a(b + c)
  3. Visual: Represent as the area of partitioned rectangles
3Mathematical Word Bank
  • The Distributive Property (La propiedad distributiva) — Multiply a factor by every term inside parentheses.
  • Distributive Property (Propiedad distributiva) — Multiplying a number by everything inside the parentheses: a(b + c) = ab + ac.
  • Factor (Factor) — A factor of a whole number divides it evenly, with no remainder. For example, 3 is a factor of 12 because 12 ÷ 3 = 4.
  • Expand (Desarrollar) — To multiply out the parentheses in an expression.
  • Equivalent (Equivalente) — Expressions that always have the same value.
  • Coefficient (Coeficiente) — The number in front of a letter, like the 3 in 3x.
4Watch out
  • The most common mistake in The Distributive Property is multiplying the outside factor by only the FIRST term inside the parentheses and forgetting the second — for example, writing 3(x + 4) = 3x + 4 instead of 3x + 12. Before you submit, check: did the outside number reach BOTH terms inside the parentheses?
  1. 1 MULTIPLE CHOICE

    Light Cue 1: Expand 3(x + 4) for the stage-light controller.

    1. A3x + 12
    2. B3x + 4
    3. C3x + 7
    4. Dx + 12
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    Light Cue 2: Expand 5(2 + n) to set two spotlight banks.

    1. A7 + 5n
    2. B10 + 5n
    3. C10 + n
    4. D10 + 5
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    Light Cue 3: Expand 4(a + 2) for the back-row beam.

    1. A4a + 8
    2. B4a + 2
    3. C4a + 6
    4. Da + 8
    ✏️ 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
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.AT.7 Lesson 6-14-part2 Apply Day · Challenge
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

6.14 · Part II

Extension & Non-Routine Application

The Distributive Property · Distributive Property

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 6.14 · Part II
1The Distributive Property
2The Structural Procedure
  1. Expand: Multiply the outside factor by each term inside parentheses
  2. Factor: Find the GCF of terms and pull it outside: ab + ac = a(b + c)
  3. Visual: Represent as the area of partitioned rectangles
3Mathematical Word Bank
  • The Distributive Property (La propiedad distributiva) — Multiply a factor by every term inside parentheses.
  • Distributive Property (Propiedad distributiva) — Multiplying a number by everything inside the parentheses: a(b + c) = ab + ac.
  • Factor (Factor) — A factor of a whole number divides it evenly, with no remainder. For example, 3 is a factor of 12 because 12 ÷ 3 = 4.
  • Expand (Desarrollar) — To multiply out the parentheses in an expression.
  • Equivalent (Equivalente) — Expressions that always have the same value.
  • Coefficient (Coeficiente) — The number in front of a letter, like the 3 in 3x.
4Watch out
  • The most common mistake in The Distributive Property is multiplying the outside factor by only the FIRST term inside the parentheses and forgetting the second — for example, writing 3(x + 4) = 3x + 4 instead of 3x + 12. Before you submit, check: did the outside number reach BOTH terms inside the parentheses?
SECTION 1 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 MULTIPLE CHOICE

    Which expression is equivalent to 6(2x + 5)?

    1. A2x + 30
    2. B12x + 30
    3. C12x + 5
    4. D12x + 11
    ✏️ Workspace & Solution Steps
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 2 MULTIPLE CHOICE

    Light Cue 2: Expand 5(2 + n) to set two spotlight banks.

    1. A7 + 5n
    2. B10 + 5n
    3. C10 + n
    4. D10 + 5
    ✏️ Workspace & Solution Steps
  2. 3 MULTIPLE CHOICE

    Factor 12x + 18 using the GCF.

    1. A2(6x + 9)
    2. B6(2x + 3)
    3. C6(2x + 18)
    4. D12(x + 18)
    ✏️ 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
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