6.AT.4 Lesson 4-2-part2 Apply Day · Set B
MASTERY CHECK
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4.2 · Part II

Second Practice Form · Independent Application and Spiral Review

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.
SECTION 1 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 1 GUIDED FILL
    75% Model

    Complete the new equivalence: 3/4 = ___ decimal = ___%.

    1. 1Divide 3 ÷ 4: ___.
    2. 2Multiply the decimal by 100: ___.
    3. 3Write the percent with its symbol: ___.
    Final answer:
  2. 2 GUIDED FILL
    20% Model

    Complete the new equivalence: 1/5 = ___ decimal = ___%.

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

    Convert 3/5 to a percent.

    1. A60%
    2. B35%
    3. C53%
    4. D65%
    Rewrite each fraction
    Work it out
    Simplify
  5. 5 MULTIPLE CHOICE

    Convert 7/20 to a percent.

    1. A35%
    2. B70%
    3. C20%
    4. D14%
    Rewrite each fraction
    Work it out
    Simplify
  6. 6 MULTIPLE CHOICE

    Which decimal is equivalent to 45%?

    1. A0.45
    2. B4.5
    3. C0.045
    4. D45.0
    0%50%100%
    Work
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 7 OPEN RESPONSE

    A student says 3/8 is greater than 40% because 3 and 8 are bigger numbers than 4 and 0. Is the student correct? Convert both values to the same form and explain.

    ✏️ 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