I can describe a rate using its two different units and use a model to find a travel time, and I can find a unit rate to compare prices and decide the better buy.Puedo describir una tasa con sus dos unidades distintas y usar un modelo para hallar un tiempo de viaje, y puedo hallar una tasa unitaria para comparar precios y decidir cuál es la mejor compra.
MissionMisión · Pixel ArcadeArcade de píxeles · night shiftturno de noche
Clear every level.Supera todos los niveles.
The arcade is open late and the boss-level machines are live. Prices are tangled and speeds are hidden, so only a careful unit rate will crack each deal.
El arcade está abierto hasta tarde y las máquinas del nivel jefe están encendidas. Los precios están enredados y las velocidades ocultas, así que solo una tasa unitaria cuidadosa resolverá cada oferta.
Word bankBanco de palabras 5 words5 palabrasrate, unit rate, per, …tasa, tasa unitaria, por, …
- ratetasa
- A ratio that compares two amounts with different units, like miles per hour.Una razón que compara dos cantidades con unidades distintas, como millas por hora.
- unit ratetasa unitaria
- A rate for exactly 1 of something, like the cost of 1 item.Una tasa para exactamente 1 de algo, como el costo de 1 artículo.
- perpor
- For each one, as in 5 dollars per book.Por cada uno, como en 5 dólares por libro.
- unit priceprecio unitario
- A unit rate that gives the cost of exactly one item.Una tasa unitaria que da el costo de exactamente un artículo.
- better buymejor compra
- The choice that costs less for each item.La opción que cuesta menos por cada artículo.
Stage 1 of 5Etapa 1 de 5
Start StrongEmpieza fuerte
Each rung is harder than the last, and the numbers change every time.
Cada peldaño es más difícil que el anterior y los números cambian cada vez.
- 6 fresh problems with new numbers each time (interactive only).
Stage 2 of 5Etapa 2 de 5
Stretch Your ThinkingAmplía tu pensamiento
Plan, solve, then check that your answer makes sense.
Planea, resuelve y revisa que tu respuesta tenga sentido.
- Find the Rate Error
- An arcade sells tokens in three packs: 25 tokens for $5, 60 tokens for $10.80, and 100 tokens for $19. A student says the 100-token pack is always the best deal because you get the most tokens. Is the student correct? Find all three unit rates and explain.
- Fill in the table
- Three token booths are listed in the table. Which booth is the best buy, and why?
- Booth B, because $0.23 per token is the lowest.
- Booth A, because $3.00 is the lowest price.
- Booth C, because it gives you the most tokens.
- Booths A and C, since they cost the same per token.
- A virtual train in the racing game travels at a constant 150 miles per hour. The double number line shows its distance. How many hours does it take to travel 525 miles?
- Each booth sells tokens for dollars. Fill in how many tokens you get for $1 at each booth.
- Pack X has 24 tokens for $6.00. Pack Y has 40 tokens for $9.20. How many dollars less per token does the better pack cost?
Stage 3 of 5Etapa 3 de 5
InvestigateInvestiga
Use the model to test an idea. Then check it.
Usa el modelo para probar una idea. Luego compruébala.
- Match each arcade rate with its unit rate.
- Make two offers at a drink stand. Give each offer a number of cups and a price. Find each unit price and decide the better buy. Explain why comparing only the total prices could mislead a customer.
- 4 fresh problems with new numbers each time (interactive only).
Stage 4 of 5Etapa 4 de 5
Find and FixEncuentra y corrige
Somebody made a mistake. Find the step and fix it.
Alguien cometió un error. Encuentra el paso y corrígelo.
- A player found the price of one token. One step goes wrong. Tap the first step that is wrong.
- A player compared two packs. One step goes wrong. Tap the first step that is wrong.
- A robot rover crawls across a game board. One step goes wrong. Tap the first step that is wrong.
- Kai says 10 tokens for $4.00 beats 16 tokens for $6.00, because $4.00 is less. Lena finds the price of one token in each pack. Who is right?
- Kai: the pack with the lower price is always the better buy, even if it holds fewer tokens.
- Both are right, because the first pack costs less and the second costs less per token.
- Neither: the two packs cost the same amount per token, so neither is better.
- Lena: $4.00 ÷ 10 = $0.40 and $6.00 ÷ 16 = $0.375, so the bigger pack is cheaper per token.
- What is the best next move?
- Find how many games $1 buys at Y, 8 ÷ $19.20, and compare it with $2.50.
- Compare $12.50 with $19.20. X costs less, so X is the better buy.
- Compare 8 games with 5 games. Y gives more games, so Y is the better buy.
- Find Y's price for 1 game, $19.20 ÷ 8, and compare it with $2.50.
- 1 fresh problem with new numbers each time (interactive only).
Stage 5 of 5Etapa 5 de 5
Prove Your UnderstandingDemuestra tu comprensión
Say how sure you are, solve, then create a problem of your own.
Di qué tan seguro estás, resuelve y luego crea un problema tuyo.
- A ride ticket booth sells 9 tickets for $13.50. What is the price of one ticket, in dollars?
- A race car in the arcade game travels 255 miles in 1.5 hours at a steady speed. What is the speed in miles per hour?
- The snack bar sells 4 cups of popcorn for $3.80 or 6 cups for $5.40. Which is the better buy?
- 6 cups for $5.40, at $0.90 per cup
- 4 cups for $3.80, at $0.95 per cup
- 4 cups for $3.80, because $3.80 is less
- Both cost the same price per cup
- Game tokens cost $0.35 each at a steady price. How many dollars do 24 tokens cost?
- A train travels 150 miles per hour at a constant speed. Which sentence describes this rate correctly?
- The train goes 150 miles in each 1 minute.
- The train takes 150 hours to go 1 mile.
- The train goes 150 miles in each 1 hour.
- The train goes 150 miles in 150 hours.
- Write your own arcade problem about two deals with different numbers of items. Find each unit rate, say which is the better buy, and explain why comparing only the total prices would not be fair.