I can solve real-world problems by using unit rates to compare options.Puedo resolver problemas de la vida real usando tasas unitarias para comparar opciones.
MissionMisión · Maker WorkshopTaller de creadores · night shiftturno de noche
Build it right.Constrúyelo bien.
Night shift at the workshop: the 3D printers and laser cutters keep running while everyone sleeps. Compare how fast each machine works so tomorrow's jobs finish on time.
Turno de noche en el taller: las impresoras 3D y las cortadoras láser siguen trabajando mientras todos duermen. Compara qué tan rápido trabaja cada máquina para que los trabajos de mañana terminen a tiempo.
Word bankBanco de palabras 4 words4 palabrasunit rate, better buy, per unit, …tasa unitaria, mejor compra, por unidad, …
- unit ratetasa unitaria
- A rate for just 1 of something, like the cost of 1 screw.Una tasa para solo 1 de algo, como el costo de 1 tornillo.
- better buymejor compra
- The deal that costs less for each item.La oferta que cuesta menos por cada artículo.
- per unitpor unidad
- For each single item, such as dollars per screw.Por cada artículo, como dólares por tornillo.
- ratetasa
- A ratio that compares two amounts with different units, like grams per hour.Una razón que compara dos cantidades con unidades distintas, como gramos por hora.
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 Unit Rate Error
- Two arcade supply companies offer token deals. Company X: 300 tokens for $36. Company Y: 500 tokens for $55. The arcade needs 1,000 tokens. Find the unit rate for each company, determine which is cheaper per token, and calculate the total cost of buying 1,000 tokens from the better deal.
- Fill in the table
- Zainab needs 600 screws. Supplier A sells 100 screws for $8.00. Supplier B sells 150 for $10.50. How many dollars does she save by buying all 600 from the better supplier instead of the other one?
- Jun's overnight job needs 540 g of plastic. Printer A prints 90 g in 4 hours. Printer B prints 135 g in 5 hours. How long will the job take on the faster printer?
- 0.05 hours
- 20 hours
- 24 hours
- 108 hours
- Luca compares three bottles of wood glue. Find the price per ounce for each deal. Then fill in the ★ row: the price of 64 oz at the lowest price per ounce.
- Esperanza needs LED strips. Store A sells them for $4.00 each. Buy 3 and get 1 more strip free. Store B sells them for $3.25 each, with no deals. Which statement is correct?
- Store B is cheaper: $3.25 per strip is less than $4.00 per strip.
- Store A is cheaper: its deal costs $0.33 per strip, less than $3.25.
- Store B is cheaper: $3.25 is less than the $12.00 Store A charges for the deal.
- Store A is cheaper: its deal costs $3.00 per strip, less than $3.25.
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.
- In the Maker Workshop every rate has a 'better' direction. Sort each rate by whether the lower number or the higher number is the better deal.
- Create two supply offers for a class event with different sizes and prices. Find the unit rate of each, choose the better buy, and explain one situation where the other offer might be more practical. Include units and your calculations.
- 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.
- Dmitri compares two deals for sensor batteries. Tap the first step where his work goes wrong.
- Amara compares two spools of wire: Spool A is 20 m for $8 and Spool B is 30 m for $15. Tap the first step where her work goes wrong.
- A laser cutter cuts 36 parts in 4 minutes. Kenji finds how many parts it cuts in 10 minutes. Tap the first step where his work goes wrong.
- Sander A finishes 90 boards in 6 minutes. Sander B finishes 120 boards in 10 minutes. Dev says B is faster because its unit rate, 12, is lower. Mia says A is faster because it finishes more boards each minute, 15. Who is right?
- Mia, because for boards per minute a higher rate is better.
- Dev, because a lower unit rate is always the better one.
- Neither. Sander B finished more boards in total, so B wins.
- Neither. They ran different times, so they cannot be compared.
- What is the best next move?
- Multiply $0.75 × 30 and buy A, since A already has a price for 1.
- Find B's price for 1 bar, $7.00 ÷ 10, and compare it with $0.75.
- Find the bars in 1 dollar for B, 10 ÷ $7.00, and compare with $0.75.
- Compare $4.50 with $7.00 and buy A, since it costs less.
- 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.
- Wen buys 25 sheets of foam board for $18.00. What is the price of 1 sheet, in dollars?
- Takoda compares two cans of paint. Can X holds 0.5 L and costs $6.50. Can Y holds 1.25 L and costs $17.00. Which is the better buy?
- Can Y, at $13.60 for each liter of paint
- Can Y, since a bigger can costs less per liter
- Can X, at $13.00 for each liter of paint
- Neither, since the cans hold different amounts
- A CNC mill uses 3.5 L of coolant every 2 hours. The coolant tank holds 28 L. For how many hours can the mill run?
- Isabel's workshop pays $0.35 for each bolt. Isabel has $28 to spend on bolts. How many bolts can she buy?
- Ribbon at the workshop costs the same amount for every meter. One price in this ratio table is wrong. Which one?
- 3 m for $4.50
- 6 m for $8.50
- 9 m for $13.50
- 12 m for $18.00
- Create your own better-buy problem for the Maker Workshop. Describe two deals for the same item, find the unit rate of each, and explain which deal is the better buy and by how much per item.