Ratio Tables
I can use a ratio table to find equivalent ratios.
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🎯 Content Objective / Objetivo de contenido
I can use a ratio table to find equivalent ratios.
Today's Flow
Total pacing: ~45 min · Progress bar at top tracks your place
LAUNCH
⏱ ~10 min
⏱️ 3 MIN · THINK-PAIR-SHARE
Chef Reyes's pancake batter uses 2 cups of mix for every 3 cups of milk. To feed 4 times as many people, what happens to BOTH ingredient amounts?
Check for Understanding #1
Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.
Scenario Launch
Chef Academy is hosting a pancake breakfast for the whole school! Chef Reyes's famous pancake batter uses 2 cups of mix for every 3 cups of milk. The team needs to scale the recipe to feed 4 times as many people. Can you help them build a ratio table to figure out how much of each ingredient they need?
Concept Launch
💡 How do ratio tables work?
A ratio table lists equal ratios in rows. To make a new row, you multiply BOTH numbers by the same amount, called the scale factor.
To keep a ratio the same, multiply both numbers by the same scale factor.
Check for Understanding #2
Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.
Now it's your turn
VOCABULARY
⏱ ~8 min
| Term / Término | Meaning / Significado | Example / Ejemplo | Visual |
|---|---|---|---|
| Ratio table Tabla de razones |
A table of equal ratios that shows a pattern. Una tabla de razones iguales que muestra un patrón. |
Cups of juice: 2, 4, 6 | Cups of water: 3, 6, 9 | |
| Equivalent ratio Razón equivalente |
Two ratios that mean the same thing, like 1:2 and 2:4. Dos razones que significan lo mismo, como 1:2 y 2:4. |
2:3 = 4:6 = 6:9 | |
| Scale factor Factor de escala |
The number you multiply both parts of a ratio by to get an equal ratio. El número por el que multiplicas ambas partes de una razón para obtener una razón igual. |
2:3 × 2 → 4:6 (scale factor is 2) | |
| Pattern Patrón |
A rule that numbers follow again and again. Una regla que los números siguen una y otra vez. |
Each row adds 2 cups juice and 3 cups water | |
| Additive pattern Patrón aditivo |
Adding the same amount to both parts of a ratio table to make new rows. Sumar la misma cantidad a ambas partes de una tabla de razones para hacer filas nuevas. |
2:3 → 4:6 → 6:9 (add 2 and 3 each time) |
Vocabulary — True or False?
Which statements correctly use Equivalent ratio?
Fix the False One
Which Word Fits?
A table that lists equivalent ratios in rows or columns is a ___.
Use It In a Sentence
Check for Understanding #3
Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.
Turn & Talk — Launch
Chef Reyes's pancake batter uses 2 cups of mix for every 3 cups of milk. To feed 4 times as many people, what happens to BOTH ingredient amounts?
👂 Listen For
A strong answer says BOTH quantities are multiplied by the same number (4), so 2:3 becomes 8:12, keeping the ratio equivalent.
Extend: Explain why you cannot just add 4 to the mix and 4 to the milk to feed 4 times as many people. Use the words equivalent ratio.
EXPLORE & PRACTICE
⏱ ~18 min
Visual Modeling Workspace
Use the drawing tray below to annotate the visual model. Teacher: say "Click to reveal" on key steps.
Explore Activity
Chef Reyes's pancake recipe uses 2 cups of mix for every 3 cups of milk. Complete the ratio table to scale the recipe for more students.
✍️ Explore Discourse
Explain your strategy and reasoning.
Whiteboard Moment
Show your work clearly. Be ready to explain your thinking to a partner.
Turn & Talk — Explore
In your pancake ratio table, how did you find each new row from the 2:3 starting row?
👂 Listen For
Listen for use of a scale factor (multiplying both parts) and recognition that every row in the table is an equivalent ratio showing the same pattern.
Extend: Compare the additive pattern (add 2 and 3 each row) with the scale-factor method. Why do BOTH give correct rows for this table?
Practice Check A
In a ratio table, the ratio of sugar to butter is 3:2. If you use 12 cups of sugar, how many cups of butter do you need?
✍️ Show Your Work
Explain why your answer is correct using today's vocabulary.
Practice Check B
A ratio table shows 5:8, 10:16, 15:24. What scale factor was used from the first row to the third row?
✍️ Show Your Work
Explain why your answer is correct using today's vocabulary.
Ratio Table Builder
Fill the ratio table. Each row must be equivalent.
| Factor | A | B |
|---|---|---|
| ×1 | ||
| ×2 | ||
| ×3 |
✍️ Justify Your Thinking
Which rows belong in a ratio table for 3:4? Sort them into correct and incorrect.
A classmate turned in the work below. One step has a mistake. Read every step, find it, name it, and fix it.
Choose ONE option to show what you know — then do it in the workspace below.
Use evidence from today's lesson to complete each frame.
Today's key idea is: "To keep a ratio the same, multiply both numbers by the same scale factor." — and it works because ___.
Because Ratio table means ___, but a tricky part is ___, so I have to ___.
A common mistake with Ratio table is ___. It happens because ___, and the fix is ___.
I can prove my answer is correct by ___, using Equivalent ratio to check my work.
✍️ TWR · WRITE 3 SENTENCES · 7 MIN
To keep a ratio the same, multiply both numbers by the same scale factor. because ___
To keep a ratio the same, multiply both numbers by the same scale factor. but ___
To keep a ratio the same, multiply both numbers by the same scale factor. so ___
🌱 TWR · GROW THE KERNEL · 6 MIN
Answer these to add detail
Sentence starters (tap to use)
Student Workspace
Chef Reyes's pancake recipe uses 2 cups of mix for every 3 cups of milk. Complete the ratio table to scale the recipe for more students.
| Batches | Cups of Mix | Cups of Milk |
|---|---|---|
| 1 | 2 | 3 |
| 2 | ||
| 3 | ||
| 4 |
✏️ Sketch Your Strategy
Differentiation Paths
Step-by-step with a worked model and sentence frames.
A recipe uses 3 eggs for every 5 cups of flour. How many eggs are needed for 15 cups of flour?
Core practice aligned to the standard.
Extension with error analysis or multi-step reasoning.
Partner Activity
Work with your partner on the practice problems at your differentiation path level. Explain each step using math vocabulary.
Check for Understanding #4
Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.
Real-World Connection
🌍 Math in the Wild
A juice bar makes a Berry Blast smoothie with 3 scoops of frozen berries for every 2 cups of yogurt. A customer orders enough for a party of 20 people, and each person gets one serving. The juice bar needs to use a ratio table to figure out how many scoops and cups to prepare.
✍️ Connection Reasoning
This is like our ratio table work because ___ and ___ are related by ___.
This is like our ratio table work because ___ and ___ are related by ___.
Turn & Talk — Connect
The juice bar makes a smoothie with 3 scoops of berries for every 2 cups of yogurt and needs enough for 20 people. How is this the same as our pancake table?
👂 Listen For
A strong answer connects both scenarios as scaling a ratio with a scale factor, keeping berries-to-yogurt (3:2) equivalent across every serving.
Extend: If the juice bar suddenly needs servings for 30 people instead of 20, generalize how the scale factor changes and what stays the same.
CLOSURE & REFLECT
⏱ ~8 min
Today I learned that ___ because ___.
One thing I am still not sure about is ___.
A salad dressing recipe uses 2 tablespoons of oil for every 5 tablespoons of vinegar. How many tablespoons of oil are needed for 20 tablespoons of vinegar?
Bonus Exit Check
A recipe uses 3 eggs for every 5 cups of flour. How many eggs are needed for 15 cups of flour?
✍️ Show Your Work
Explain why your answer is correct using today's vocabulary.
Reflection & Self-Assessment
Continue Learning
Launch the Full Interactive Activity
Students continue practice in the HTML lesson engine with auto-check, hints, and differentiation.
Family Connection
Share tonight's family homework and discuss one vocabulary word at home.
Open Family Homework ↗Teacher Notes
⏱️ Pacing Guide
- Launch & vocab: 12 min
- I Do / We Do / You Do: 15 min
- Explore & practice: 15 min
- Connect & closure: 8 min
Total: ~45 min
🎯 Listen For · Common Errors
• A strong answer says BOTH quantities are multiplied by the same number (4), so 2:3 becomes 8:12, keeping the ratio equivalent.
• Listen for use of a scale factor (multiplying both parts) and recognition that every row in the table is an equivalent ratio showing the same pattern.
• A strong answer connects both scenarios as scaling a ratio with a scale factor, keeping berries-to-yogurt (3:2) equivalent across every serving.
• Listen for students naming a specific strategy tied to 6.RP.3a — not just "I multiplied." They should connect steps to the key idea.
Common mistake: A common mistake in Ratio Tables is skipping the key idea: "To keep a ratio the same, multiply both numbers by the same scale factor." — always check your work against this rule before you submit.
Answer Key (Teacher Appendix)
Hide this slide during presentation or move to the end of your copy.
✓ Practice 1: 8 — Scale factor: 12 ÷ 3 = 4. Multiply butter by 4: 2 × 4 = 8 cups of butter.
✓ Practice 2: 3 — From 5 to 15: 15 ÷ 5 = 3. From 8 to 24: 24 ÷ 8 = 3. The scale factor is 3.
✓ Practice 3: 9 — The scale factor is 15 ÷ 5 = 3. Multiply the eggs by 3: 3 × 3 = 9 eggs.
✓ Practice 4: 6:10 — 6:10 simplifies to 3:5, not 4:5. The other ratios (8:10, 12:15, 16:20) all simplify to 4:5.
✓ Exit ticket: 8 — Scale factor: 20 ÷ 5 = 4. Multiply oil by 4: 2 × 4 = 8 tablespoons of oil.