Ratio Reasoning: Convert Measurements within the Same System

6.AT.3 · Unit 3 · Lesson 6

Name   Period

Objectives / Objetivos

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.

Key Idea / Idea clave

Converting Measurements (Same System). Formula: Quantity × (Unit Conversion Ratio) = New Quantity. 1. Identify the conversion factor (e.g. 1 ft = 12 in, 1 km = 1,000 m). 2. Larger to smaller unit: Multiply by the conversion factor. 3. Smaller to larger unit: Divide by the conversion factor

I Notice / Observo

  • I notice the two measurements use different ___.
  • I notice both units belong to the same measurement ___.

I Wonder / Me pregunto

  • I wonder how many of the smaller unit fit in ___ of the bigger one.

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Convert Measurements within the Same System
Convertir medidas dentro del mismo sistema		Rewriting a measurement in a different unit of the SAME system, such as feet into inches or liters into milliliters.
Reescribir una medida en otra unidad del MISMO sistema, como pies a pulgadas o litros a mililitros.
Conversion factor
Factor de conversión		The ratio that links two units in the same measurement system, such as 12 inches to 1 foot. Within one system it is exact.
La razón que relaciona dos unidades del mismo sistema de medición, como 12 pulgadas a 1 pie. Dentro de un mismo sistema es exacta.
Unit ratio
Razón unitaria		A ratio that compares an amount to exactly 1 unit of another quantity, like 12 inches to 1 foot.
Una razón que compara una cantidad con exactamente 1 unidad de otra cantidad, como 12 pulgadas por 1 pie.
Convert
Convertir		To change a measurement from one unit to another without changing how much it is.
Cambiar una medida de una unidad a otra sin cambiar la cantidad que representa.
Measurement system
Sistema de medidas		A family of units that go together — customary units like inches and feet, or metric units like milliliters and liters.
Una familia de unidades que van juntas: unidades usuales como pulgadas y pies, o métricas como mililitros y litros.
Double number line
Recta numérica doble		Two number lines lined up so matching tick marks show two units for the same amount.
Dos rectas numéricas alineadas para que las marcas correspondientes muestren dos unidades de la misma cantidad.

Practice Preview / Vista previa de práctica

  1. There are 12 inches in 1 foot. How many inches are in 5 feet?
    1. 60 inches
    2. 17 inches
    3. 7 inches
    4. 50 inches
  2. There are 1,000 milliliters in 1 liter. Complete the double number line as a table.
  3. Diamond needs 4 liters of water. Her bottle holds 500 milliliters. How many times must she fill it?
    1. 8 times
    2. 4 times
    3. 2 times
    4. 40 times
  4. Find the error
    1. Step 1: Setup — Convert 4 liters to milliliters, then find how many 250-mL cups it fills.
    2. Step 2: Step 1 — 4 × 1,000 = 4,000 mL
    3. Step 3: Step 2 — 4,000 × 250 = 1,000,000
    4. Step 4: Step 3 — It fills 1,000,000 cups.

    Which step has the mistake? Explain it and write the correct work.

Reflection / Reflexión

One thing I learned today / Una cosa que aprendí hoy: