6.AT.7 Lesson 6-15-part2 Apply Day · Version A
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

6.15 · Part II

Supported Application · Guided Entry to Today's Problem

Simplify Algebraic Expressions · Like Terms

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: 6.15 · Part II
1Combining Like Terms
2Strategy Model — step by step
  1. Like Terms: Terms that share the exact same variable part and exponent (e.g. 4x and 2x)
  2. Add or subtract the coefficients of like terms; keep the variable unchanged
  3. Constants (numbers without variables) combine together separately
3Mathematical Word Bank
  • Simplify Algebraic Expressions (Simplificar expresiones algebraicas) — Rewrite an expression in a shorter equivalent form by combining like terms and using properties.
  • 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.
  • Simplify (Simplificar) — To rewrite an expression in a shorter form that is still equal to the original.
  • Coefficient (Coeficiente) — The number in front of a letter, like the 3 in 3x.
  • Term (Término) — A single number, variable, or product of them, separated by + or − signs.
4Watch out
  • A common mistake in Simplify Algebraic Expressions is sweeping a constant into the variable terms — for example, simplifying 6x + 4 + 2x as 12x by adding all three numbers (6 + 4 + 2 = 12) instead of recognizing that 4 has no variable and cannot combine with 6x and 2x. The correct simplified expression is 8x + 4 (combine 6x + 2x = 8x, and let the 4 stay on its own). Before you submit, check that every term you combined has the exact same variable part.
SECTION 1 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 MULTIPLE CHOICE

    (Lesson 6.4) What does 2³ mean?

    1. A2 × 2 × 2
    2. B2 × 3
    3. C3 × 3
    4. D2 + 2 + 2
    ✏️ Workspace & Solution Steps
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 2 MULTIPLE CHOICE

    Simplify 5a + 3 + 2a.

    1. A7a + 3
    2. B10a
    3. C7a² + 3
    4. D52a + 3
    ✏️ Workspace & Solution Steps
  2. 3 MULTIPLE CHOICE

    (Lesson 6.4) Evaluate 3 + 4 × 2.

    1. A11
    2. B14
    3. C24
    4. D9
    Line up the place values
    1. 1Line upPoints under points.
    2. 2Fill gapsWrite in the zeros.
    3. 3OperateRight to left.
    4. 4Bring the point downStraight down.
📐 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 6-15-part2 Apply Day · Version B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

6.15 · Part II

On-Level Application · Standard Rigor

Simplify Algebraic Expressions · Like Terms

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 6.15 · Part II
1Combining Like Terms
2The Structural Procedure
  1. Like Terms: Terms that share the exact same variable part and exponent (e.g. 4x and 2x)
  2. Add or subtract the coefficients of like terms; keep the variable unchanged
  3. Constants (numbers without variables) combine together separately
3Mathematical Word Bank
  • Simplify Algebraic Expressions (Simplificar expresiones algebraicas) — Rewrite an expression in a shorter equivalent form by combining like terms and using properties.
  • 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.
  • Simplify (Simplificar) — To rewrite an expression in a shorter form that is still equal to the original.
  • Coefficient (Coeficiente) — The number in front of a letter, like the 3 in 3x.
  • Term (Término) — A single number, variable, or product of them, separated by + or − signs.
4Watch out
  • A common mistake in Simplify Algebraic Expressions is sweeping a constant into the variable terms — for example, simplifying 6x + 4 + 2x as 12x by adding all three numbers (6 + 4 + 2 = 12) instead of recognizing that 4 has no variable and cannot combine with 6x and 2x. The correct simplified expression is 8x + 4 (combine 6x + 2x = 8x, and let the 4 stay on its own). Before you submit, check that every term you combined has the exact same variable part.
  1. 1 MULTIPLE CHOICE

    The board shows 3x + 5x on one channel. Simplify it.

    1. A8x
    2. B15x
    3. C8x²
    4. D35x
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    Simplify the track: 4a + 2 + a.

    1. A5a + 2
    2. B7a
    3. C5a²+ 2
    4. D6a
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    Clean up this channel: 7y − 3y.

    1. A4y
    2. B10y
    3. C4
    4. D21y
    ✏️ 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 6-15-part2 Apply Day · Challenge
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

6.15 · Part II

Extension & Non-Routine Application

Simplify Algebraic Expressions · Like Terms

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 6.15 · Part II
1Combining Like Terms
2The Structural Procedure
  1. Like Terms: Terms that share the exact same variable part and exponent (e.g. 4x and 2x)
  2. Add or subtract the coefficients of like terms; keep the variable unchanged
  3. Constants (numbers without variables) combine together separately
3Mathematical Word Bank
  • Simplify Algebraic Expressions (Simplificar expresiones algebraicas) — Rewrite an expression in a shorter equivalent form by combining like terms and using properties.
  • 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.
  • Simplify (Simplificar) — To rewrite an expression in a shorter form that is still equal to the original.
  • Coefficient (Coeficiente) — The number in front of a letter, like the 3 in 3x.
  • Term (Término) — A single number, variable, or product of them, separated by + or − signs.
4Watch out
  • A common mistake in Simplify Algebraic Expressions is sweeping a constant into the variable terms — for example, simplifying 6x + 4 + 2x as 12x by adding all three numbers (6 + 4 + 2 = 12) instead of recognizing that 4 has no variable and cannot combine with 6x and 2x. The correct simplified expression is 8x + 4 (combine 6x + 2x = 8x, and let the 4 stay on its own). Before you submit, check that every term you combined has the exact same variable part.
  1. 1 MULTIPLE CHOICE

    Simplify the expression 8x + 3 + 2x − 1.

    1. A10x + 2
    2. B12x
    3. C10x + 4
    4. D6x + 2
    ✏️ 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