6.AT.3 Lesson 3-5-part2 Apply Day · Practice
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3.5 · Part II

Application Practice for Today's Problem

Compare Ratios · Unit rate

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: 3.5 · Part II
1Comparing Ratio Relationships
2Strategy Model — step by step
  1. Convert each ratio to a unit rate (e.g. price per item or miles per gallon)
  2. Alternatively, scale both ratios to a common term (like a common denominator)
  3. Compare the resulting unit rates to identify the better buy or faster rate
3Mathematical Word Bank
  • Compare Ratios (Comparar razones) — Decide which ratio is greater, less, or equal by using equivalent ratios or unit rates.
  • Unit rate (Tasa unitaria) — A rate for just 1 of something, like cost for 1 item.
  • Equivalent ratio (Razón equivalente) — Two ratios that mean the same thing.
  • Compare (Comparar) — To look at ratios and see which is bigger, smaller, or 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.
  • Common denominator (Denominador común) — A bottom number that two fractions can share so you can compare them.
4Watch out
  • A common mistake in Compare Ratios is thinking the ratio with the bigger raw number automatically wins — like assuming Chef Tran's 8 tablespoons of cocoa must be more chocolatey than Chef Reyes's 6 tablespoons, without checking that the milk amounts (14 oz vs. 10 oz) are different. Never compare the raw numbers alone — always scale both ratios to the same amount or find each unit rate first.
  1. 1 MULTIPLE CHOICE

    Which is the better deal: 4 apples for $3 or 6 apples for $5?

    1. A4 apples for $3
    2. B6 apples for $5
    3. CThey cost the same
    4. DCannot determine
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    Store A sells 3 mangoes for $6. Store B sells 5 mangoes for $9. Which store offers a better price per mango?

    1. AStore B
    2. BStore A
    3. CSame price
    4. DCannot determine
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    Chef Academy's snack bar sells 3 mini quiches for $6 or 5 mini quiches for $8. Which is the better deal per quiche?

    1. A5 quiches for $8
    2. B3 quiches for $6
    3. CThey cost the same
    4. DCannot determine
    ✏️ Workspace & Solution Steps
  4. 4 MULTIPLE CHOICE

    Two soup recipes use salt. Recipe A uses 4 tsp salt for 10 cups of broth. Recipe B uses 3 tsp salt for 8 cups of broth. Which soup is saltier per cup?

    1. ARecipe B
    2. BRecipe A
    3. CThey are equally salty
    4. DCannot determine
    ✏️ Workspace & Solution Steps
  5. 5 MULTIPLE CHOICE

    Chef Mara's lemon glaze uses 6 oz of lemon juice for 9 cupcakes. Chef Devi's uses 4 oz for 7 cupcakes. Whose glaze has more lemon per cupcake?

    1. AChef Mara
    2. BChef Devi
    3. CSame amount
    4. DCannot determine
    ✏️ 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
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