6.AT.4 Lesson 4-4-part2 Apply Day · Version A
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

4.4 · Part II

Supported Application · Guided Entry to Today's Problem

Percent of a Number · Percent

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: 4.4 · Part II
1Finding the Percent of a Number
2Strategy Model — step by step
  1. Identify the percent and the whole (base amount)
  2. Convert the percent to a decimal or simplified fraction
  3. Multiply the decimal/fraction by the whole to calculate the part
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.
  1. 1 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?
📐 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.4 Lesson 4-4-part2 Apply Day · Version B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

4.4 · Part II

On-Level Application · Standard Rigor

Percent of a Number · Percent

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 4.4 · Part II
1Finding the Percent of a Number
2The Structural Procedure
  1. Identify the percent and the whole (base amount)
  2. Convert the percent to a decimal or simplified fraction
  3. Multiply the decimal/fraction by the whole to calculate the part
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.
  1. 1 MULTIPLE CHOICE

    An arcade prize costs 240 tickets. If you have a coupon for 15% off, how many tickets do you save?

    1. A36 tickets
    2. B24 tickets
    3. C15 tickets
    4. D204 tickets
    0%50%100%
    Work
  2. 2 MULTIPLE CHOICE

    A student scored 72 out of 90 on a test. What percent did they score?

    1. A80%
    2. B72%
    3. C75%
    4. D90%
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    The claw machine prize is 80 tickets and today it is 25% off. How many tickets do you save?

    1. A20
    2. B25
    3. C55
    4. D16
    0%50%100%
    Work
📐 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.4 Lesson 4-4-part2 Apply Day · Challenge
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

4.4 · Part II

Extension & Non-Routine Application

Percent of a Number · Percent

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 4.4 · Part II
1Finding the Percent of a Number
2The Structural Procedure
  1. Identify the percent and the whole (base amount)
  2. Convert the percent to a decimal or simplified fraction
  3. Multiply the decimal/fraction by the whole to calculate the part
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 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 1 MULTIPLE CHOICE

    At West Middle School, 45% of the 360 sixth-grade students participate in after-school sports. How many sixth-grade students participate in sports?

    1. A162 students
    2. B180 students
    3. C144 students
    4. D160 students
    0%50%100%
    Work
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 2 OPEN RESPONSE

    A class has 32 students. 25% are in the math club, 50% are in the reading club, and 12.5% are in both. How many students are in each group? Can the total of all three groups be more than 32? Explain why or why not.

    ✏️ 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