6.AT.4 Lesson 4-1-part2 Apply Day · Set B
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4.1 · Part II

Second Practice Form · Independent Application and Spiral Review

Understand Percent · Percent

Interactive Workbench & Models →
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■ ADVANCED CONCEPT ANCHOR: 4.1 · Part II
1Understanding Percent
2The Structural Procedure
  1. Percent means 'per hundred' (% = /100)
  2. On a 100-grid, each square represents 1% = 0.01 = 1/100
  3. Fraction to Percent: Scale fraction to a denominator of 100
3Mathematical Word Bank
  • Understand Percent (Comprender el porcentaje) — A percent is a ratio that compares a number to 100, so every percent answers the question “how many out of 100?”
  • Percent (Porcentaje) — A ratio that compares a number to 100. The word means “per hundred,” and the symbol is %.
  • Per hundred (Por cada cien) — The meaning hidden inside the word percent: for every group of 100. It is why every percent can be written as a fraction over 100.
  • Decimal grid (Cuadrícula decimal) — A 10-by-10 grid of 100 squares. Shading squares shows a percent directly, one square per percent.
  • Part-to-whole (Parte a todo) — A comparison of one part against the whole amount. In a percent, the whole is always 100%.
  • Greater than 100% (Mayor que 100 %) — More than one whole. A percent above 100 means the amount is larger than the thing it is being compared to.
4Watch out
  • A common mistake with percent is scaling only one term of the ratio: reading 7 out of 10 as 7%. A percent compares to 100, so BOTH terms must be multiplied by the same factor — 10 × 10 = 100, so 7 × 10 = 70, giving 70%. Reading it as 7% describes seats that are nearly empty when they are nearly full. A second mistake is treating a percent as an amount: 150% of a 200-point goal is 1.5 × 200 = 300 points, not 150 points.
SECTION 1 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 MULTIPLE CHOICE

    What does the word percent mean?

    1. APer ten
    2. BPer thousand
    3. CPer hundred
    4. DPer part
    ✏️ Workspace & Solution Steps
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 2 MULTIPLE CHOICE

    (Lesson 3.2) A booth charges $4.50 for 9 games. What is the unit rate?

    1. A$0.45 per game
    2. B$0.50 per game
    3. C$2.00 per game
    4. D$4.50 per game
    per 1
  2. 3 MULTIPLE CHOICE

    (Lesson 3.2) A car travels 180 miles using 6 gallons of gas. What is the unit rate in miles per gallon?

    1. A6 miles per gallon
    2. B30 miles per gallon
    3. C36 miles per gallon
    4. D180 miles per gallon
    per 1
  3. 4 MULTIPLE CHOICE

    A recipe makes 200% of what you need. That means it makes…

    1. AHalf of what you need
    2. BExactly what you need
    3. CTwo servings total
    4. DTwice as much as you need
    ✏️ Workspace & Solution Steps
  4. 5 MULTIPLE CHOICE

    3 out of every 10 students walk to school. What percent is that?

    1. A3%
    2. B10%
    3. C13%
    4. D30%
    ✏️ Workspace & Solution Steps
  5. 6 MULTIPLE CHOICE

    A decimal grid has 100 squares and 65 are shaded. What percent is shaded?

    1. A6.5%
    2. B35%
    3. C65%
    4. D100%
    ✏️ 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