6.AT.5 Lesson 6-3-group1 🟡 Group 1 · Set B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

6.3 Small Group · Group 1

Second Practice Form · Re-Teach, Homework or Retake · Same Standard, New Problems

Powers and Exponents · Exponent · Procedural Fluency · Reasoning & Critique

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: Let's build it together — What does an exponent mean?
1A power like 2³ is a short way to write repeated multiplication: 2 × 2 × 2.
  • An exponent is a small raised number that tells you how many times to multiply a number by itself. We say 2³ as "two to the third power." We'll walk through a worked example, try one together, then you'll try a few with hints right there when you need them.
2Worked Example — Watch me
  1. I want to find the value of 2³.
  2. The small 3 tells me to multiply 2 by itself 3 times.
  3. So I write 2 × 2 × 2.
  4. First 2 × 2 = 4. Then 4 × 2 = 8.
  5. So 2³ = 8.
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 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  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
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 4 ERROR ANALYSIS

    Spot the Common Mistake

    1. 1Expression:5³
    2. 2Student's thinking:5 × 3
    3. 3Calculate:= 15

    Which step contains the error? Explain the mathematical misconception and write the correct calculation below.

    ✏️ Corrected Mathematical Work & Explanation
  2. 5 ERROR ANALYSIS

    Level 2 Extension — Spot the Beat-Builder Bug

    1. 1Track says:Play 3⁴ beats
    2. 2Producer's thinking:3 × 4
    3. 3Calculate:= 12

    Which step contains the error? Explain the mathematical misconception and write the correct calculation below.

    ✏️ Corrected Mathematical Work & Explanation
  3. 6 ERROR ANALYSIS

    Find the Exponent Error

    1. 1Expression:2³
    2. 2Student's thinking:2 × 3
    3. 3Calculate:= 6

    Which step contains the error? Explain the mathematical misconception and write the correct calculation below.

    ✏️ Corrected Mathematical Work & Explanation
📐 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