6.AT.4 Lesson 4-4-group1 🟡 Group 1 · Support & Scaffolding
MASTERY CHECK
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4.4 Small Group · Group 1

Tier 2 Intervention · Concrete-Representational-Abstract (CRA) · Dual-Language Anchors

Percent of a Number · Percent · Procedural Fluency · Real-World Applications

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: Let's build it together — How do I find the percent of a number?
1Write the percent as a decimal (move the point 2 places left), then multiply it by the base: part = percent × base.
  • A percent is a piece of a whole. The whole is called the base — it is the number right after the word “of,” and “of” means multiply. Your answer is the piece you get, called the part. 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. The claw machine costs 60 tickets, and it is 25% off. I need 25% of 60.
  2. Step 1 — find the base (the whole): the number after “of” is 60.
  3. Step 2 — the percent as a decimal: 25% means 25 out of 100, so 25 ÷ 100 = 0.25.
  4. Step 3 — multiply: 0.25 × 60 = 15.
  5. The discount is 15 tickets. Check: 15 is about a quarter of 60, so that makes sense.
3Mathematical Word Bank
  • Percent of a Number (Porcentaje de un número) — A part of a number found by multiplying the number by the percent written as a decimal.
  • Percent (Porcentaje) — A way to compare a number to 100, shown with the % sign.
  • Base (Base) — The whole amount you start with — the number right after the word “of.”
  • Part (Parte) — How much of the base (the whole) you get. It is your answer.
  • Equation (Ecuación) — A number sentence with an equal sign. The percent one is: part = percent × base.
  • Discount (Descuento) — Money taken off the first price to make it cheaper.
4Watch out
  • A common mistake in Find the Percent of a Number is multiplying by the percent number itself instead of its decimal form — for example, finding 30% of 80 by computing 30 × 80 = 2,400 instead of 0.30 × 80 = 24. Always divide the percent by 100 to get the decimal, then multiply that decimal by the base.
SECTION 1 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 FILL TABLE

    Find each percent of a number using the formula: Part = Percent × Base.

    PercentBasePart
    25%
    40%
    15%
    ✏️ Scratchpad / Reasoning
  2. 2 FILL TABLE

    Complete each row to find the percent of a number.

    PercentBasePart
    10%
    75%
    35%
    8%
    ✏️ Scratchpad / Reasoning
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 3 MULTIPLE CHOICE

    What is 20% of 150?

    1. A30
    2. B20
    3. C35
    4. D75
    0%50%100%
    Work
    1. 1Whole100% is what number?
    2. 2Find 10%Divide by 10.
    3. 3BuildAdd or multiply to the percent.
    4. 4CheckIs it under or over the whole?
  2. 4 MULTIPLE CHOICE

    What is 50% of 84?

    1. A42
    2. B50
    3. C34
    4. D168
    0%50%100%
    Work
    1. 1Whole100% is what number?
    2. 2Find 10%Divide by 10.
    3. 3BuildAdd or multiply to the percent.
    4. 4CheckIs it under or over the whole?
  3. 5 MULTIPLE CHOICE

    What is 10% of 320?

    1. A32
    2. B3.2
    3. C320
    4. D64
    0%50%100%
    Work
    1. 1Whole100% is what number?
    2. 2Find 10%Divide by 10.
    3. 3BuildAdd or multiply to the percent.
    4. 4CheckIs it under or over the whole?
  4. 6 MULTIPLE CHOICE

    What percent of 50 is 15?

    1. A30%
    2. B15%
    3. C35%
    4. D50%
    0%50%100%
    Work
    1. 1Whole100% is what number?
    2. 2Find 10%Divide by 10.
    3. 3BuildAdd or multiply to the percent.
    4. 4CheckIs it under or over the whole?
🗣️ MATHEMATICAL DISCOURSE & TALK MOVES SMP.3 / Construct Viable Arguments

Group Discussion Prompt: How does your visual model justify your mathematical solution?

🗣️ Partner A:
Partner A: "I modeled this by identifying the relationship and..."
👂 Partner B:
Partner B: "I agree with your step because the standard mathematical rule states..."
✍️ The Writing Revolution (TWR) · Sentence Expansion Because · But · So

Complete each sentence stem to demonstrate precise mathematical reasoning:

BECAUSE The ratio remains equivalent because both quantities are scaled by the exact same multiplicative factor.
BUT Two ratios may look similar, but inverting the order of terms fundamentally changes the comparison.
SO The recipe requires 3 parts flour to 2 parts water, so the unit rate is 1.5 cups of flour per cup of water.
📐 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