Unit 3 · Standard 6.AT.3
Ratio Reasoning: Convert Measurements Between Systems
My Notes Level 1 Support Level 2 Standard Level 3 Enrichment
Today's objectives
Content Objective: I can use ratio reasoning to convert measurements between the customary and metric systems.
Language Objective: I can explain a conversion between systems using the words conversion factor, approximately, customary, and metric.
📖 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 .
- 2Inches, pounds and gallons belong to the system.
- 3Centimeters, grams and liters belong to the system, built on tens.
- 4Close to but not exactly equal is — written with ≈.
- 5A table whose every column holds the same comparison is a .
Write About the Math
Is 100 kilometers per hour faster or slower than 100 miles per hour, and how do you know?¿100 kilómetros por hora es más rápido o más lento que 100 millas por hora, y cómo lo sabes?
Say your answer to a partner first. Then write it, using at least two of these words:
Model: A mile is longer than a kilometer (1 km ≈ 0.6 mi), so 5 miles is the longer race even though the numbers match. — Students reason about UNIT SIZE before touching arithmetic — same number, different units, different lengths.
Start
Complete the frames. Use the word bank.Completa las oraciones. Usa el banco de palabras.
- The conversion factor is 1 km ≈ ___ mi. Scaling that up, 100 kilometers ≈ ___ miles, so the sign means about ___ miles per hour. That is ___ than 100 miles per hour, because in one hour you would travel ___ distance.
- 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.