Unit 3 · Standard 6.AT.3
Ratio Reasoning: Convert Measurements within the Same System
My Notes Level 1 Support Level 2 Standard Level 3 Enrichment
Today's objectives
Content Objective: I can use ratio reasoning to convert between units within the same measurement system.
Language Objective: I can explain a conversion using the words unit ratio, convert, measurement system, and per.
📖 See Learn It for the explanation and worked examples, and the Vocab tab for the words. These are your notes to fill in and keep.
✏️ Fill in each blank as we go. Use the Word Bank to help you.
👆 Tap any word to see its meaning and a picture.
Level 3: try the blanks from memory first, then check the bank.
- 1The ratio that trades one unit for another is a .
- 2A ratio comparing an amount to exactly unit is a unit ratio.
- 3To change a measurement to another unit without changing the amount is to .
- 4Inches and feet belong to the customary ; centimeters and meters to the metric one.
- 5Two lines whose matching ticks show the same amount in two units form a .
- 6A table whose every column holds the same comparison is a .
Write About the Math
How many cup-scoops of broth does the recipe need, and how do you know?¿Cuántas tazas de caldo necesita la receta y cómo lo sabes?
Say your answer to a partner first. Then write it, using at least two of these words:
Model: Find the scale factor (120 divided by 8 = 15), then multiply each ingredient by it. — Students find the scale factor of 15 and explain that multiplying both ingredients by 15 keeps the recipe proportional (5 cups tomatoes becomes 75, 3 cups mozzarella becomes 45).
Start
Complete the frames. Use the word bank.Completa las oraciones. Usa el banco de palabras.
- The unit ratio is ___ cups to 1 quart. Cups are ___ than quarts, so I ___ to convert. 3 × 4 = ___ cups. The amount of broth did not change — only the ___ did.
- My answer is ___ because ___.Mi respuesta es ___ porque ___.
Build
Write two connected sentences. Use because, so, or but.Escribe dos oraciones conectadas. Usa porque, entonces o pero.
- My claim is ___.Mi afirmación es ___.
- My evidence is ___, so ___.Mi evidencia es ___, entonces ___.
Explain
Write a claim, give math evidence, and explain your reasoning.Escribe una afirmación, da evidencia matemática y explica tu razonamiento.