I can find and check equivalent ratios using multiplication and division.Puedo hallar y comprobar razones equivalentes usando la multiplicación y la división.
MissionMisión · Sound StudioEstudio de sonido
Mix the track, then check the math.Mezcla la pista y revisa las matemáticas.
The Sound Studio is mixing a new track. Every mix has a recipe, like 3 parts bass for every 2 parts treble. Scale the recipe up or down and keep the sound exactly the same.
El Estudio de Sonido está mezclando una canción nueva. Cada mezcla tiene una receta, como 3 partes de graves por cada 2 partes de agudos. Escala la receta hacia arriba o hacia abajo y mantén el sonido exactamente igual.
Word bankBanco de palabras 4 words4 palabrasequivalent ratios, simplify, proportion, …razones equivalentes, simplificar, proporción, …
- equivalent ratiosrazones equivalentes
- Ratios that compare quantities in the same relationship, made by multiplying or dividing both parts by the same number.Razones que comparan cantidades en la misma relación, formadas al multiplicar o dividir las dos partes por el mismo número.
- simplifysimplificar
- To write a ratio with smaller numbers that still compares the same way. 6:8 and 3:4 are the same ratio.Escribir una razón con números más pequeños que compara igual. 6:8 y 3:4 son la misma razón.
- proportionproporción
- A math sentence saying two ratios are equal, like 2/3 = 10/15.Una oración matemática que dice que dos razones son iguales, como 2/3 = 10/15.
- ratio tabletabla de razones
- A table of equal ratios that shows a pattern.Una tabla de razones iguales que muestra un patrón.
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.
- Build a ratio table for masts of 1, 2, 3 and 4 feet using the model. Predict what stays the same in every column, then check it. Explain why adding the same number to both parts would not work.
- A printer prints 30 pages every minute. How many pages does it print in 4 minutes?
- 7.5 pages
- 30 pages
- 34 pages
- 120 pages
- A faucet fills 3 gallons every 2 minutes. How long does it take to fill 18 gallons?
- 6 minutes
- 9 minutes
- 12 minutes
- 36 minutes
- A recipe uses 3 cups of flour for 12 muffins. How much flour is needed for 20 muffins?
- 2.4 cups
- 4 cups
- 5 cups
- 6 cups
- 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.
- Which ratio is equivalent to 2:5?
- 2:10
- 3:6
- 4:10
- 5:2
- A recipe uses 4 eggs for every 6 cups of flour. Which ratio is equivalent?
- 2:3
- 4:3
- 6:4
- 8:10
- Which ratio is NOT equivalent to 6:9?
- 2:3
- 3:5
- 12:18
- 18:27
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.
- Marcus earns $45 for every 3 hours of work. How much does he earn in 8 hours?
- $90
- $105
- $120
- $135
- Fill in the table
- Spot the Common Mistake — Simplifying a Ratio
- What is the best next move?
- Find what 3 is multiplied by to reach 12, then use it on 7.
- Multiply 7 by 12, because 12 is the new first number.
- Add 9 to the 7, because the first terms went up by 9.
- Divide 12 by 3 and write the result, 4, as the missing number.
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.
- What is the scale factor from 3 cups of yogurt to 15 cups?
- 3
- 5
- 12
- 45
- How many cups of strawberries are needed?
- 5
- 10
- 12
- 15
- Why must both ingredients be multiplied by the same factor?
- Because 2 and 3 are both small numbers
- Because addition would be harder
- So the total is a whole number
- So the ratio stays 2:3 and the smoothie tastes the same