6.AT.4 Lesson 4-2-part2 Apply Day · Version A
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

4.2 · Part II

Supported Application · Guided Entry to Today's Problem

Fractions, Decimals, and Percents · Percent

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: 4.2 · Part II
1Fraction, Decimal & Percent Equivalence
2Strategy Model — step by step
  1. Percent to Decimal: Divide by 100 (move decimal point 2 places left)
  2. Decimal to Percent: Multiply by 100 (move decimal point 2 places right)
  3. Fraction to Percent: Divide numerator by denominator, then convert decimal to percent
3Mathematical Word Bank
  • Fractions, Decimals, and Percents (Fracciones, decimales y porcentajes) — Three equivalent ways to name the same part of a whole.
  • Percent (Porcentaje) — A way to compare a number to 100, shown with the % sign.
  • Decimal (Decimal) — A number with a dot, like 0.5, that shows a part less than one.
  • Equivalent (Equivalente) — Having the same value, just written a different way.
  • Benchmark (Referencia) — A familiar number you use to guess, like 50% or 1/2.
  • Discount (Descuento) — Money taken off the first price to make it cheaper.
4Watch out
  • A common mistake in Relate Fractions, Decimals, and Percents is treating the numerator and denominator as the percent's digits — turning 3/5 into "35%" by just reading the 3 and the 5. Percent means out of 100, so the fix is to build an equivalent fraction with denominator 100: 5 × 20 = 100, so multiply the top by 20 too — 3/5 = 60/100 = 60%. A second version of this mistake is scaling only ONE part of the fraction (writing 3/5 = 3/100 or 60/5). Whatever you multiply the denominator by, you must multiply the numerator by the same number. When a denominator will not reach 100 evenly (8, 3, 7), divide the numerator by the denominator instead and then multiply by 100.
  1. 1 MULTIPLE CHOICE

    What fraction is equal to 0.75?

    1. A3/4
    2. B7/5
    3. C3/5
    4. D7/10
    ✏️ Workspace & Solution Steps
  2. 2 GUIDED FILL
    50% Model

    Complete the new equivalence: 1/2 = ___ decimal = ___%.

    1. 1Divide 1 ÷ 2: ___.
    2. 2Multiply the decimal by 100: ___.
    3. 3Write the percent with its symbol: ___.
    Final answer:
  3. 3 GUIDED FILL
    25% Model

    Complete the new equivalence: 1/4 = ___ decimal = ___%.

    1. 1Divide 1 ÷ 4: ___.
    2. 2Multiply the decimal by 100: ___.
    3. 3Write the percent with its symbol: ___.
    Final answer:
📐 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 4-2-part2 Apply Day · Version B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

4.2 · Part II

On-Level Application · Standard Rigor

Fractions, Decimals, and Percents · Percent

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 4.2 · Part II
1Fraction, Decimal & Percent Equivalence
2The Structural Procedure
  1. Percent to Decimal: Divide by 100 (move decimal point 2 places left)
  2. Decimal to Percent: Multiply by 100 (move decimal point 2 places right)
  3. Fraction to Percent: Divide numerator by denominator, then convert decimal to percent
3Mathematical Word Bank
  • Fractions, Decimals, and Percents (Fracciones, decimales y porcentajes) — Three equivalent ways to name the same part of a whole.
  • Percent (Porcentaje) — A way to compare a number to 100, shown with the % sign.
  • Decimal (Decimal) — A number with a dot, like 0.5, that shows a part less than one.
  • Equivalent (Equivalente) — Having the same value, just written a different way.
  • Benchmark (Referencia) — A familiar number you use to guess, like 50% or 1/2.
  • Discount (Descuento) — Money taken off the first price to make it cheaper.
4Watch out
  • A common mistake in Relate Fractions, Decimals, and Percents is treating the numerator and denominator as the percent's digits — turning 3/5 into "35%" by just reading the 3 and the 5. Percent means out of 100, so the fix is to build an equivalent fraction with denominator 100: 5 × 20 = 100, so multiply the top by 20 too — 3/5 = 60/100 = 60%. A second version of this mistake is scaling only ONE part of the fraction (writing 3/5 = 3/100 or 60/5). Whatever you multiply the denominator by, you must multiply the numerator by the same number. When a denominator will not reach 100 evenly (8, 3, 7), divide the numerator by the denominator instead and then multiply by 100.
  1. 1 MULTIPLE CHOICE

    A game shows your score as 7/8 complete. What percent is that?

    1. A87.5%
    2. B78%
    3. C75%
    4. D88%
    Rewrite each fraction
    Work it out
    Simplify
  2. 2 MULTIPLE CHOICE

    Your arcade scoreboard reads 0.25 of the level cleared. What percent and fraction match this score?

    1. A25% and 1/4
    2. B2.5% and 1/4
    3. C25% and 1/5
    4. D250% and 1/40
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    A player powered up 3/5 of the energy bar. Which decimal and percent name the same amount?

    1. A0.6 and 60%
    2. B0.35 and 35%
    3. C0.6 and 6%
    4. D0.65 and 65%
    ✏️ 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
6.AT.4 Lesson 4-2-part2 Apply Day · Challenge
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

4.2 · Part II

Extension & Non-Routine Application

Fractions, Decimals, and Percents · Percent

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 4.2 · Part II
1Fraction, Decimal & Percent Equivalence
2The Structural Procedure
  1. Percent to Decimal: Divide by 100 (move decimal point 2 places left)
  2. Decimal to Percent: Multiply by 100 (move decimal point 2 places right)
  3. Fraction to Percent: Divide numerator by denominator, then convert decimal to percent
3Mathematical Word Bank
  • Fractions, Decimals, and Percents (Fracciones, decimales y porcentajes) — Three equivalent ways to name the same part of a whole.
  • Percent (Porcentaje) — A way to compare a number to 100, shown with the % sign.
  • Decimal (Decimal) — A number with a dot, like 0.5, that shows a part less than one.
  • Equivalent (Equivalente) — Having the same value, just written a different way.
  • Benchmark (Referencia) — A familiar number you use to guess, like 50% or 1/2.
  • Discount (Descuento) — Money taken off the first price to make it cheaper.
4Watch out
  • A common mistake in Relate Fractions, Decimals, and Percents is treating the numerator and denominator as the percent's digits — turning 3/5 into "35%" by just reading the 3 and the 5. Percent means out of 100, so the fix is to build an equivalent fraction with denominator 100: 5 × 20 = 100, so multiply the top by 20 too — 3/5 = 60/100 = 60%. A second version of this mistake is scaling only ONE part of the fraction (writing 3/5 = 3/100 or 60/5). Whatever you multiply the denominator by, you must multiply the numerator by the same number. When a denominator will not reach 100 evenly (8, 3, 7), divide the numerator by the denominator instead and then multiply by 100.
  1. 1 MULTIPLE CHOICE

    What is the fraction 7/20 written as a decimal and as a percent?

    1. A0.35 and 35%
    2. B0.035 and 3.5%
    3. C0.7 and 70%
    4. D0.35 and 3.5%
    ✏️ Workspace & Solution Steps
  2. 2 GUIDED FILL
    80% Model

    Complete the new equivalence: 4/5 = ___ decimal = ___%.

    1. 1Divide 4 ÷ 5: ___.
    2. 2Multiply the decimal by 100: ___.
    3. 3Write the percent with its symbol: ___.
    Final answer:
📐 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