6.AT.5 Lesson 6-3-part2 Apply Day · Version A
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

6.3 · Part II

Supported Application · Guided Entry to Today's Problem

Powers and Exponents · Exponent

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: 6.3 · Part II
1Powers & Exponents
2Strategy Model — step by step
  1. Base is the factor being multiplied repeatedly
  2. Exponent tells how many times to multiply the base by itself
  3. Evaluate: 2³ = 2 × 2 × 2 = 8 (not 2 × 3 = 6)
3Mathematical Word Bank
  • Powers and Exponents (Potencias y exponentes) — A power uses a base and an exponent to show repeated multiplication.
  • Exponent (Exponente) — A small number that tells how many times to multiply a number by itself.
  • Base (Base) — The number that gets multiplied by itself.
  • Power (Potencia) — A number written with a base and an exponent, like 2³.
  • Evaluate (Evaluar) — To find the value by putting numbers in for the letters.
4Watch out
  • A common mistake in Powers and Exponents is multiplying the base by the exponent instead of using the base as a repeated factor — for example, thinking 2³ = 2 × 3 = 6 instead of 2³ = 2 × 2 × 2 = 8. Before you submit, rewrite the power as repeated multiplication first, then multiply step by step.
SECTION 1 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 MULTIPLE CHOICE

    (Lesson 6.1) What does 3 ÷ 1/4 mean?

    1. AHow many 1/4-size pieces fit into 3
    2. B3 groups of 1/4
    3. C3 minus 1/4
    4. D1/4 of 3
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    (Lesson 6.1) Which expression means 'how many 1/3-size pieces are in 2'?

    1. A2 ÷ 1/3
    2. B2 × 1/3
    3. C1/3 ÷ 2
    4. D2 + 1/3
    ✏️ Workspace & Solution Steps
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 3 MULTIPLE CHOICE

    Evaluate: 3 × (4 + 2)²

    1. A108
    2. B54
    3. C36
    4. D144
    Rewrite the whole expression each lineWhat I simplified
    1. 1GroupingInside ( ) first.
    2. 2ExponentsThen powers.
    3. 3× ÷Left to right.
    4. 4+ −Left to right.
📐 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.5 Lesson 6-3-part2 Apply Day · Version B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

6.3 · Part II

On-Level Application · Standard Rigor

Powers and Exponents · Exponent

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 6.3 · Part II
1Powers & Exponents
2The Structural Procedure
  1. Base is the factor being multiplied repeatedly
  2. Exponent tells how many times to multiply the base by itself
  3. Evaluate: 2³ = 2 × 2 × 2 = 8 (not 2 × 3 = 6)
3Mathematical Word Bank
  • Powers and Exponents (Potencias y exponentes) — A power uses a base and an exponent to show repeated multiplication.
  • Exponent (Exponente) — A small number that tells how many times to multiply a number by itself.
  • Base (Base) — The number that gets multiplied by itself.
  • Power (Potencia) — A number written with a base and an exponent, like 2³.
  • Evaluate (Evaluar) — To find the value by putting numbers in for the letters.
4Watch out
  • A common mistake in Powers and Exponents is multiplying the base by the exponent instead of using the base as a repeated factor — for example, thinking 2³ = 2 × 3 = 6 instead of 2³ = 2 × 2 × 2 = 8. Before you submit, rewrite the power as repeated multiplication first, then multiply step by step.
  1. 1 MULTIPLE CHOICE

    The drum loop plays 3⁴ beats. What is the value of 3⁴?

    1. A81
    2. B12
    3. C7
    4. D27
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    A synth pattern repeats 7 × 7 × 7. How do you write that as a power?

    1. A7³
    2. B3⁷
    3. C7 × 3
    4. D21³
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    The bass line doubles for 2⁶ counts. What is the value of 2⁶?

    1. A64
    2. B12
    3. C32
    4. D36
    ✏️ 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.5 Lesson 6-3-part2 Apply Day · Challenge
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

6.3 · Part II

Extension & Non-Routine Application

Powers and Exponents · Exponent

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 6.3 · Part II
1Powers & Exponents
2The Structural Procedure
  1. Base is the factor being multiplied repeatedly
  2. Exponent tells how many times to multiply the base by itself
  3. Evaluate: 2³ = 2 × 2 × 2 = 8 (not 2 × 3 = 6)
3Mathematical Word Bank
  • Powers and Exponents (Potencias y exponentes) — A power uses a base and an exponent to show repeated multiplication.
  • Exponent (Exponente) — A small number that tells how many times to multiply a number by itself.
  • Base (Base) — The number that gets multiplied by itself.
  • Power (Potencia) — A number written with a base and an exponent, like 2³.
  • Evaluate (Evaluar) — To find the value by putting numbers in for the letters.
4Watch out
  • A common mistake in Powers and Exponents is multiplying the base by the exponent instead of using the base as a repeated factor — for example, thinking 2³ = 2 × 3 = 6 instead of 2³ = 2 × 2 × 2 = 8. Before you submit, rewrite the power as repeated multiplication first, then multiply step by step.
  1. 1 MULTIPLE CHOICE

    Which value is equal to the power 3⁴?

    1. A81
    2. B12
    3. C64
    4. D7
    ✏️ 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