6.AT.7 Lesson 6-14-part2 Apply Day · Set B
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6.14 · Part II

Second Practice Form · Independent Application and Spiral Review

The Distributive Property · Distributive Property

Interactive Workbench & Models →
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■ 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 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 1 MULTIPLE CHOICE

    Expand 6(n + 3) using the distributive property.

    1. A6n + 18
    2. B6n + 3
    3. Cn + 18
    4. D6n + 9
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    Expand 4(5 − 2) using the distributive property.

    1. A12
    2. B20 − 2
    3. C9
    4. D22
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    Expand 3(x + 4) using the distributive property.

    1. A3x + 12
    2. B3x + 4
    3. Cx + 12
    4. D7x
    ✏️ Workspace & Solution Steps
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 4 OPEN RESPONSE

    Use the distributive property to explain why 6 × 98 can be calculated as 6 × 100 − 6 × 2 = 588. Then create your own example of using the distributive property to make multiplication easier.

    ✏️ 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