6.AT.1 Lesson 3-1-part2 Apply Day · Set B
MASTERY CHECK
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3.1 · Part II

Second Practice Form · Independent Application and Spiral Review

Understand Ratios · Ratio

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 3.1 · Part II
1Understanding Ratios
2The Structural Procedure
  1. A ratio compares two quantities; order of quantities matters
  2. Part-to-Part compares two distinct subgroups (e.g. boys to girls)
  3. Part-to-Whole compares one subgroup to the total (e.g. boys to class)
3Mathematical Word Bank
  • Understand Ratios (Comprender razones) — Use a ratio to compare two quantities by division.
  • Ratio (Razón) — A way to compare two amounts, like 3 to 2.
  • Comparison (Comparación) — Looking at two or more amounts to see how they are related.
  • Part-to-part (Parte a parte) — A ratio comparing one part of a group to another part.
  • Part-to-whole (Parte a todo) — A ratio comparing one part to the whole group.
  • Colon notation (Notación con dos puntos) — Writing a ratio with two dots between the numbers, like 3:2.
4Watch out
  • A common mistake in Understand Ratios is writing the ratio in the wrong order: when asked for the ratio of apple juice to sparkling water in a recipe that uses 3 cups of apple juice for every 2 cups of sparkling water, some students write 2:3 (sparkling water to apple juice) because they list the ingredients in whatever order comes to mind rather than the order the question asks for. The two ratios describe different drinks — 3:2 means 3 cups of juice for every 2 cups of water, while 2:3 would mean only 2 cups of juice for every 3 cups of water. Always match the order of your ratio to the order named in the question: "apple juice to sparkling water" means the apple juice number comes first, giving 3:2.
  1. 1 MULTIPLE CHOICE

    A class has 5 chefs and 7 helpers (12 total). What is the part-to-whole ratio of chefs to the whole class?

    1. A5:12
    2. B5:7
    3. C7:12
    4. D12:5
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    “For every” language: Chef Reyes says, “My glaze uses 9 spoons of honey for every 4 spoons of lemon.” Written in colon notation, the ratio of honey to lemon is:

    1. A9:4
    2. B4:9
    3. C9:13
    4. D13:4
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    A recipe uses 4 cups of milk and 1 cup of cream. What is the ratio of milk to cream?

    1. A4:1
    2. B1:4
    3. C4:5
    4. D5:1
    ✏️ Workspace & Solution Steps
  4. 4 MULTIPLE CHOICE

    Chef Reyes uses 6 strawberries and 2 bananas in a smoothie. What is the part-to-whole ratio of bananas to total fruit?

    1. A2:8
    2. B6:2
    3. C2:6
    4. D8:2
    ✏️ Workspace & Solution Steps
  5. 5 MULTIPLE CHOICE

    In a class of 30 students, 18 are girls. What is the part-to-part ratio of boys to girls?

    1. A12:18
    2. B18:12
    3. C18:30
    4. D12:30
    ✏️ 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