Home›Lesson Plans›Mathematics›Ratios & Proportional Relationships · Grade 6

Ratios: Comparing Amounts, Batch by Batch

Students learn that a ratio compares two amounts — like 2 cups of blue paint to 3 of yellow — and that scaling both amounts up keeps the ratio the same, the foundation of proportional thinking.

Grade 6Ratios50 minutes1 class periodGradual ReleaseExplicit teaching4 StandardsCommon Core
Start the Lesson
Lesson at a Glance

Everything you need before the bell rings

Learning Objectives

Students will be able to…

  • ✓Write a ratio to compare two amounts.
  • ✓Find equivalent ratios.
  • ✓Use a ratio table.
  • ✓Explain what “for every” means.
Essential Question

A recipe uses 2 scoops of blue for every 3 of orange. If you double it, is it still the same color? What stays the same in a ratio?

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Lesson Phases
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Vocabulary Terms
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Standards Aligned
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Interactive Task
Model · Interactive Tool

The Ratio Builder

Project this and set a ratio of blue to orange. Change the number of batches and watch the ratio table — the ratio stays the same!

🔵 Build a ratio — scale it up in batchesTry it
Blue: 2 · Orange: 3
Batches: 1

The Lesson · Gradual Release (I Do · We Do · You Do)

50 minutes, five moves

Tap any phase to open the teacher moves and student actions.

1

Launch — Same Color?

5 min

2 blue to 3 orange — double it. Same color mix?

👩‍🏫 Teacher Moves

  • Mix a ratio of colors.
  • Double both amounts.
  • Set the goal: ratios.

🎒 Student Actions

  • Picture the mix.
  • Predict doubling.
  • Guess the idea.
2

I Do — For Every

10 min

Teacher models.

👩‍🏫 Teacher Moves

  • Write a ratio (2:3).
  • Say “2 blue for every 3 orange.”
  • Scale both to find equivalents.

🎒 Student Actions

  • Write the ratio.
  • Say “for every.”
  • Scale it up.
3

We Do — Build Together

13 min

Class drives the Ratio Builder.

👩‍🏫 Teacher Moves

  • Set ratios; scale in batches.
  • Read the ratio table.
  • Confirm ratios stay equal.

🎒 Student Actions

  • Set the ratio.
  • Read the table.
  • Check equivalents.
4

You Do — On Your Own

12 min

Students use ratios.

👩‍🏫 Teacher Moves

  • Assign ratio and table problems.
  • Write equivalent ratios.
  • Solve a recipe problem.

🎒 Student Actions

  • Write ratios.
  • Make a table.
  • Solve a problem.
5

Close — Close

5 min

One ratio.

👩‍🏫 Teacher Moves

  • Give amounts; write the ratio.
  • Find one equivalent.
  • Hand out the exit ticket.

🎒 Student Actions

  • Write the ratio.
  • Find an equivalent.
  • Complete the exit ticket.
Standards Alignment

Built to the standards you report on

Aligned to the Common Core State Standards for Mathematics, including the Standards for Mathematical Practice.

CCSS
6.RP.1

Understand the concept of a ratio and use ratio language to describe a relationship.

CCSS
6.RP.3a

Make tables of equivalent ratios and find missing values.

CCSS
6.RP.3

Use ratio and rate reasoning to solve real-world problems.

SMP
MP.2

Reason quantitatively about ratios.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Use color counters to build ratios.
  • Sentence frame: “___ for every ___.”
  • Build a ratio table together.

Support & Access

IEP / 504
  • Start with simple ratios (1:2).
  • Use counters to scale.
  • Provide a partial ratio table.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Solve for a missing value in a table.
  • Compare two ratios.
  • Write a ratio three ways (2:3, 2 to 3, 2/3).
Materials

What to gather

  • 📽️Projector / board
  • 📓Math notebooks
  • 💻The Ratio Builder
  • 🔵Color counters
  • ✏️Pencils
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

ratioa comparison of two amountsequivalent ratioa ratio equal to anotherratio tablea table of equal ratiosfor everythe ratio relationshipscaleto multiply both partstermone part of a ratiocompareto see the relationshipproportiontwo equal ratios
Evaluate

Exit Ticket

Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.

QUESTION 1
Write the ratio of 4 dogs to 6 cats.
4:6 (or 4 to 6, or 2:3 simplified).
QUESTION 2
Give an equivalent ratio to 2:3.
Any of 4:6, 6:9, 8:12, etc.
QUESTION 3
What does the ratio 3:1 mean in words?
3 of one thing for every 1 of another.

Going deeper? Mix a color recipe.

Have students use a ratio to mix a “paint recipe” and scale it up to make a bigger batch. A printable ratio-recipe sheet is in the Math library.

Study · Flashcards

Study the key terms

Tap a card to flip it, then rate whether you knew it. Built from this lesson’s vocabulary.

🃏 RatiosFlip
Card 1
Term
Tap to flip →
Meaning
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Practice · Quiz

Check your understanding

A quick self-check with instant feedback, drawn from this lesson’s key terms.

📝 RatiosQuiz
Score: 0
1 / 6
Question 1
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Practice · Worksheet

Printable worksheet

A print-and-go review sheet with a built-in answer key. Tap “Show answer key” to reveal answers, or print the clean version for students.

🖨️ RatiosPrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: compare, equivalent ratio, for every, proportion, ratio, ratio table, scale, term
  1. to multiply both parts
  2. a comparison of two amounts
  3. to see the relationship
  4. one part of a ratio
  5. a table of equal ratios
  6. a ratio equal to another
  7. the ratio relationship
  8. two equal ratios

Part B · Show what you learned

  1. Write the ratio of 4 dogs to 6 cats.
  2. Give an equivalent ratio to 2:3.
  3. What does the ratio 3:1 mean in words?
Answer key — Part A: 1) scale · 2) ratio · 3) compare · 4) term · 5) ratio table · 6) equivalent ratio · 7) for every · 8) proportion
Part B: 1) 4:6 (or 4 to 6, or 2:3 simplified). 2) Any of 4:6, 6:9, 8:12, etc. 3) 3 of one thing for every 1 of another.