6.AT.5 Lesson 6-3-part2 Apply Day · Set B
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6.3 · Part II

Second Practice Form · Independent Application and Spiral Review

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.
SECTION 1 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 MULTIPLE CHOICE

    (Lesson 6.1) A shelf is 5 feet long. Books are each 1/4 foot wide. How many books fit on the shelf? Which expression represents this?

    1. A5 ÷ 1/4 = 20 books
    2. B5 × 1/4 = 1 1/4 books
    3. C1/4 ÷ 5 = 1/20 book
    4. D5 + 1/4 = 5 1/4 books
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    Which expression shows 5³ as repeated multiplication?

    1. A5 × 5 × 5
    2. B5 × 3
    3. C5 + 5 + 5
    4. D3 × 3 × 3 × 3 × 3
    ✏️ Workspace & Solution Steps
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 3 MULTIPLE CHOICE

    (Lesson 6.2) What is the reciprocal of 3/5?

    1. A5/3
    2. B3/5
    3. C5/5
    4. D1/3
    Rewrite each fraction
    Work it out
    Simplify
  2. 4 MULTIPLE CHOICE

    (Lesson 6.2) What is 1/2 ÷ 1/4?

    1. A2
    2. B1/8
    3. C4
    4. D1/2
    ✏️ Workspace & Solution Steps
  3. 5 MULTIPLE CHOICE

    What is the value of 4³?

    1. A64
    2. B12
    3. C43
    4. D7
    ✏️ Workspace & Solution Steps
  4. 6 MULTIPLE CHOICE

    What is the value of 6²?

    1. A36
    2. B12
    3. C62
    4. D8
    ✏️ Workspace & Solution Steps
SECTION 3 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 7 OPEN RESPONSE

    A bacteria colony doubles every hour. Starting with 1 bacterium, write a power expression for the number after 6 hours. Explain why exponential growth is so much faster than adding the same number each hour.

    ✏️ Mathematical Justification & Response
📐 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