6.AT.3 Lesson 3-9-part2 Apply Day · Set B
MASTERY CHECK
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3.9 · Part II

Second Practice Form · Independent Application and Spiral Review

Equivalent Ratios · Ratio

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 3.9 · Part II
1Proportions & Equivalent Ratios
2The Structural Procedure
  1. Two ratios are equivalent if their simplified forms or cross products are equal
  2. Find the scale factor between corresponding terms
  3. Multiply or divide to solve for the missing term in the proportion
3Mathematical Word Bank
  • Equivalent Ratios (Razones equivalentes) — Ratios that compare quantities in the same relationship.
  • Ratio (Razón) — A way to compare two amounts, like 3 to 2.
  • Rate (Tasa) — A ratio comparing two amounts with different units, like miles per hour.
  • Proportion (Proporción) — A math sentence saying two ratios are equal.
  • Simplify (Simplificar) — To write a ratio with smaller numbers that still compares the same way. 6:8 and 3:4 are the same ratio.
  • Ratio table (Tabla de razones) — A table of equal ratios that shows a pattern.
4Watch out
  • A common mistake in Equivalent Ratios is ADDING the scale factor to one part instead of MULTIPLYING both parts by it. For example, scaling 2:5 by a factor of 4 should give 8:20 (2×4 and 5×4) — not 6:9 (2+4 and 5+4). Adding changes the taste of the recipe (and the value of the ratio); only multiplying or dividing both numbers by the same amount keeps it equivalent.
  1. 1 MULTIPLE CHOICE

    Solve the proportion 4/10 = x/25 for x.

    1. A10
    2. B19
    3. C8
    4. D62.5
    Rewrite each fraction
    Work it out
    Simplify
  2. 2 MULTIPLE CHOICE

    Which ratio is equivalent to 2:5?

    1. A4:10
    2. B3:6
    3. C2:10
    4. D5:2
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    A recipe uses 4 eggs for every 6 cups of flour. Which ratio is equivalent?

    1. A2:3
    2. B8:10
    3. C4:3
    4. D6:4
    ✏️ Workspace & Solution Steps
  4. 4 MULTIPLE CHOICE

    Which ratio is NOT equivalent to 6:9?

    1. A3:5
    2. B2:3
    3. C12:18
    4. D18:27
    ✏️ 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