6.AT.7 Lesson 6-6-part2 Apply Day · Set B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

6.6 · Part II

Second Practice Form · Independent Application and Spiral Review

Equivalent Expressions · Equivalent

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 6.6 · Part II
1Equivalent Algebraic Expressions
2The Structural Procedure
  1. Equivalent expressions produce the same value for any substitution of the variable
  2. Simplify expressions using algebraic properties (Distributive, Commutative, Associative)
  3. Test equivalence by substituting two different test numbers
3Mathematical Word Bank
  • Equivalent Expressions (Expresiones equivalentes) — Expressions that look different but have the same value for every allowed variable value.
  • Equivalent (Equivalente) — Expressions that always have the same value.
  • Simplify (Simplificar) — To rewrite an expression in a shorter form that is still equal to the original.
  • Like Terms (Términos semejantes) — Terms with the same letter raised to the same power, like 2x and 5x.
  • Combine (Combinar) — To add or subtract terms with the same letter into one.
  • Coefficient (Coeficiente) — The number in front of a letter, like the 3 in 3x.
4Watch out
  • A common mistake in Equivalent Expressions is adding the exponents instead of the coefficients when combining like terms — writing 3x + 2x as 5x² instead of 5x. Remember: 3x means 3 groups of x and 2x means 2 more groups of x, so you add the coefficients (3 + 2 = 5) and keep the variable's power the same (x¹, not x²).
SECTION 1 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 MULTIPLE CHOICE

    Which expression is equivalent to 4(x + 3)?

    1. A4x + 12
    2. B4x + 3
    3. Cx + 12
    4. D7x
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    Which expression is equivalent to 4x + 3x?

    1. A7x
    2. B12x
    3. C7x²
    4. D43x
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    Which expression is equivalent to 2(m + 5)?

    1. A2m + 10
    2. B2m + 5
    3. Cm + 10
    4. D7m
    ✏️ Workspace & Solution Steps
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 4 MULTIPLE CHOICE

    Which property is shown: 3(x + 7) = 3x + 21?

    1. ADistributive
    2. BCommutative
    3. CAssociative
    4. DIdentity
    ✏️ 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