6.AT.6c Lesson 6-4-part2 Apply Day · Set B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

6.4 · Part II

Second Practice Form · Independent Application and Spiral Review

Write and Evaluate Numerical Expressions with Exponents · Numerical expression

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 6.4 · Part II
1Order of Operations (PEMDAS)
2The Structural Procedure
  1. Grouping Symbols: Parentheses, brackets, fraction bars inner to outer
  2. Exponents: Evaluate all powers
  3. Multiply & Divide left to right; Add & Subtract left to right
3Mathematical Word Bank
  • Write and Evaluate Numerical Expressions with Exponents (Escribir y evaluar expresiones numéricas con exponentes) — Turning a situation into a number sentence without an equal sign, then finding its value in the correct order.
  • Numerical expression (Expresión numérica) — A math phrase built from numbers and operations, with no equal sign and no variable.
  • Evaluate (Evaluar) — To find the single value an expression is worth by carrying out its operations in order.
  • Order of operations (Orden de las operaciones) — The agreed order for evaluating: grouping symbols, then exponents, then multiply and divide left to right, then add and subtract left to right.
  • Power (Potencia) — A short way to write repeated multiplication of the same factor, such as 2³ for 2 × 2 × 2.
  • Base (Base) — In a power, the number being multiplied by itself. In 2³ the base is 2.
4Watch out
  • A common mistake with powers is multiplying the base by the exponent: reading 3² as 3 × 2 = 6 instead of 3 × 3 = 9. A second is evaluating strictly left to right, so 3 + 4 × 2 becomes 14 instead of 11. The order of operations exists so one expression has exactly one value: grouping symbols, then powers, then × and ÷ left to right, then + and − left to right.
SECTION 1 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 MULTIPLE CHOICE

    What does 2³ mean?

    1. A2 × 2 × 2
    2. B2 × 3
    3. C3 × 3
    4. D2 + 2 + 2
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    Sofia buys 4 tickets at $20 each and 2 tickets at $15 each. Which expression shows the total?

    1. A4 × 20 + 2 × 15
    2. B4 + 20 + 2 + 15
    3. C(4 + 2) × (20 + 15)
    4. D4 × 2 + 20 × 15
    ✏️ Workspace & Solution Steps
SECTION 2 COMPUTATION & PROCEDURAL FLUENCY [Show Every Step]
  1. 3 MULTIPLE CHOICE

    Evaluate 6 + 2 × 5.

    1. A16
    2. B40
    3. C13
    4. D30
    Show each partial product, then add them
  2. 4 MULTIPLE CHOICE

    Evaluate 3 + 4 × 2.

    1. A11
    2. B14
    3. C24
    4. D9
    Show each partial product, then add them
SECTION 3 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 5 MULTIPLE CHOICE

    Evaluate 4².

    1. A16
    2. B8
    3. C6
    4. D44
    Rewrite the whole expression each lineWhat I simplified
📐 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