6.AT.3a Lesson 3-3-part2 Apply Day · Set B
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3.3 · Part II

Second Practice Form · Independent Application and Spiral Review

Ratio Tables · Ratio table

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■ ADVANCED CONCEPT ANCHOR: 3.3 · Part II
1Equivalent Ratios & Ratio Tables
2The Structural Procedure
  1. Multiply or divide both terms in a ratio by the same non-zero scale factor
  2. In a ratio table, rows and columns maintain the same proportional unit rate
  3. Use additive or multiplicative patterns to find missing values in the table
3Mathematical Word Bank
  • Ratio Tables (Tablas de razones) — Tables that organize pairs of equivalent ratios.
  • Ratio table (Tabla de razones) — A table of equal ratios that shows a pattern.
  • Equivalent ratio (Razón equivalente) — Two ratios that mean the same thing, like 1:2 and 2:4.
  • Scale factor (Factor de escala) — The number you multiply both parts of a ratio by to get an equal ratio.
  • Pattern (Patrón) — A rule that numbers follow again and again.
  • Additive pattern (Patrón aditivo) — Building new rows of a ratio table by adding each column's own constant amount, so the two columns grow together.
4Watch out
  • A common mistake in Ratio Tables is scaling only ONE part of the ratio, or adding the scale factor to a part instead of multiplying by it — for example, turning 2:3 into 6:3 (multiplying only the first number by 3 and forgetting the second) or into 4:5 (adding the scale factor 2 to the second number instead of multiplying, since 3+2=5 but 3×2=6). Before you submit, multiply BOTH numbers by the same scale factor and check that your new ratio simplifies back to the original.
  1. 1 MULTIPLE CHOICE

    (Lesson 3.2) A booth charges $4.50 for 9 games. What is the unit rate?

    1. A$0.50 per game
    2. B$0.45 per game
    3. C$2.00 per game
    4. D$4.50 per game
    per 1
  2. 2 MULTIPLE CHOICE

    (Lesson 3.2) A car travels 180 miles using 6 gallons of gas. What is the unit rate in miles per gallon?

    1. A30 miles per gallon
    2. B6 miles per gallon
    3. C180 miles per gallon
    4. D36 miles per gallon
    per 1
  3. 3 MULTIPLE CHOICE

    A smoothie recipe at the truck uses 4 cups of mango for every 3 cups of pineapple. How many cups of mango are needed for 9 cups of pineapple?

    1. A12
    2. B10
    3. C13
    4. D9
    ✏️ Workspace & Solution Steps
  4. 4 MULTIPLE CHOICE

    (Lesson 3.1) A fruit salad has 5 pieces of melon, 3 pieces of pineapple, and 2 grapes. What is the ratio of pineapple to melon?

    1. A3:5
    2. B5:3
    3. C3:10
    4. D3:2
    ✏️ Workspace & Solution Steps
  5. 5 MULTIPLE CHOICE

    A recipe uses 3 eggs for every 5 cups of flour. How many eggs are needed for 15 cups of flour?

    1. A9
    2. B6
    3. C10
    4. D12
    ✏️ Workspace & Solution Steps
  6. 6 MULTIPLE CHOICE

    Which row does NOT belong in a ratio table for 4:5?

    1. A6:10
    2. B8:10
    3. C12:15
    4. D16:20
    ✏️ Workspace & Solution Steps
  7. 7 MULTIPLE CHOICE

    A ratio table shows 3:7, 6:14, and 9:21. What is the next row?

    1. A12:28
    2. B10:24
    3. C12:24
    4. D15:28
    ✏️ 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