I can use ratio reasoning to convert measurements between the customary and metric systems.Puedo usar el razonamiento con razones para convertir medidas entre el sistema usual y el sistema métrico.
MissionMisión · Robot LabLaboratorio de robots
Test, measure, improve.Prueba, mide, mejora.
Robot Lab just got a shipment from a partner lab overseas. The parts are labeled in kilograms and liters, but our scales and tanks read pounds and quarts. Convert each measurement so the build can start.
El Laboratorio de Robots recibió un envío de un laboratorio asociado en el extranjero. Las piezas están marcadas en kilogramos y litros, pero nuestras básculas y tanques leen libras y cuartos de galón (qt). Convierte cada medida para que la construcción pueda empezar.
Word bankBanco de palabras 5 words5 palabrasconversion factor, customary system, metric system, …factor de conversión, sistema usual, sistema métrico, …
- conversion factorfactor de conversión
- The ratio that links a unit in one system to a unit in the other, such as 1 kg to about 2.2 lb.La razón que une una unidad de un sistema con una unidad del otro, como 1 kg con unas 2.2 lb.
- customary systemsistema usual
- The measurement system used in the United States: inches, miles, pounds and quarts.El sistema de medidas que se usa en Estados Unidos: pulgadas, millas, libras y cuartos de galón.
- metric systemsistema métrico
- The measurement system used in most of the world, built on tens: centimeters, kilometers, kilograms and liters.El sistema de medidas que se usa en casi todo el mundo, basado en decenas: centímetros, kilómetros, kilogramos y litros.
- approximately (≈)aproximadamente (≈)
- Close to, but not exactly equal. A result from a rounded factor is written with ≈.Cercano, pero no exactamente igual. Un resultado con un factor redondeado se escribe con ≈.
- reasonablenesssentido lógico
- Checking that the size of an answer makes sense for the situation.Revisar que el tamaño de una respuesta tenga sentido en la situación.
Stage 1 of 5Etapa 1 de 5
Get ReadyPrepárate
Wake up what you know, then explore today's model.
Activa lo que sabes y luego explora el modelo de hoy.
- Predict the length in centimeters of 10 inches by rounding the factor to 2.5. Then test 10 inches in the model. Compare your estimate with the exact answer and explain when to use the word approximately.
- How many cups are in 3 quarts? (1 quart = 4 cups)
- 3/4 cup
- 7 cups
- 12 cups
- 16 cups
- A rope is 240 centimetres long. How many metres is that? (1 m = 100 cm)
- 0.24 m
- 2.4 m
- 24 m
- 240 m
- Which conversion factor changes feet into inches?
- 1 ft / 12 in
- 1 in / 12 ft
- 3 ft / 1 yd
- 12 in / 1 ft
- 1 fresh problem with new numbers each time (interactive only).
Stage 2 of 5Etapa 2 de 5
Try ItInténtalo
Use the hints when you need them. Every wrong answer tells you why.
Usa las pistas cuando las necesites. Cada respuesta incorrecta te dice por qué.
- 1 kilometer ≈ 0.6 mile. About how many miles is 5 kilometers?
- 3 miles
- 5.6 miles
- 8 miles
- 30 miles
- 1 pound ≈ 0.45 kilogram. About how many kilograms is 10 pounds?
- 4.5 kg
- 10.45 kg
- 22 kg
- 45 kg
- Which pair of units comes from two DIFFERENT measurement systems?
- Inches and feet
- Cups and quarts
- Grams and kilograms
- Miles and kilometers
Stage 3 of 5Etapa 3 de 5
On Your OwnPor tu cuenta
Tables, mistakes to find, and problems with a few steps.
Tablas, errores por encontrar y problemas de varios pasos.
- Fill in the table
- A dog weighs 31 pounds. Flea medicine comes in packages for 4–10 kg, 10–25 kg, and 25–40 kg. Which package is correct?
- The 4–10 kg package
- The 10–25 kg package
- The 25–40 kg package
- None — 31 is above every range
- Find the error
- What is the best next move?
- Divide 15 by 2.2, as kilograms turn into pounds by dividing.
- Add 15 + 2.2, since pounds are added on to the kilograms.
- Scale the ratio 1 : 2.2 by 15 for the pounds in 15 kg.
- Keep 15 and write 15 lb, since the number stays the same.
Stage 4 of 5Etapa 4 de 5 · OptionalOpcional
Practice MorePractica más
Optional extra practice. Press New numbers for another problem on the same skill.
Práctica extra opcional. Toca Números nuevos para otro problema de la misma habilidad.
- 5 fresh problems with new numbers each time (interactive only).
Stage 5 of 5Etapa 5 de 5
Show What You KnowDemuestra lo que sabes
Show what you learned today. Take your time; you can try again.
Muestra lo que aprendiste hoy. Tómate tu tiempo; puedes intentarlo otra vez.
- Using 1 km ≈ 0.6 mi, about how many miles is 10 kilometers?
- 0.06 mile
- 6 miles
- 16 miles
- 60 miles
- Using 1 lb ≈ 0.45 kg, about how many kilograms is a 30-pound dog?
- 4.5 kg
- 13.5 kg
- 30.45 kg
- 66 kg
- Why does a conversion using the rounded factor 1 mile ≈ 1.609 km use ≈?
- Because metric units are always bigger
- Because the amounts are actually different
- Because ratios cannot be exact
- The conversion factors are rounded approximations