Convert Measurement Units Challenge

Grade 6 Math · Unit 3 Challenge Studio (6.AT.3c) · Lesson 3-10
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I can convert measurement units using ratios and conversion factors.Puedo convertir unidades de medida usando razones y factores de conversión.

MissionMisión · Home FieldCancha local · night shiftturno de noche

Train like a champion.Entrena como un campeón.

Night before the meet: the coaches left a pile of equipment lists written in feet, ounces, quarts and kilometers. Convert them all so the morning crew can set up without a single mix-up.

La noche antes de la competencia: los entrenadores dejaron una pila de listas de equipo escritas en pies, onzas, cuartos y kilómetros. Conviértelas todas para que el equipo de la mañana prepare todo sin una sola confusión.

Word bankBanco de palabras 4 words4 palabrasconversion factor, unit, equivalent, …factor de conversión, unidad, equivalente, …
conversion factorfactor de conversión
A ratio that helps you change one unit into another, like 1 ft = 12 in.Una razón que te ayuda a cambiar una unidad por otra, como 1 pie = 12 pulg.
unitunidad
A standard amount used to measure, like an inch or a liter.Una cantidad estándar para medir, como una pulgada o un litro.
equivalentequivalente
Having the same value, just in different units.Tener el mismo valor, solo en unidades distintas.
metric unitsunidades métricas
A way of measuring by 10s, like meters, liters and grams.Una forma de medir de 10 en 10, como metros, litros y gramos.

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.

  1. 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.

  1. Find the Conversion Error
  2. A recipe says you need 5 feet of ribbon, but the store only sells ribbon in inches. Another recipe says you need 2 yards of fabric, but your ruler measures in feet. Convert both measurements and explain the steps you used. Which conversion factor did you use each time?
  3. Coach Adaeze lays out a long jump runway that is 40 meters long. She puts a marker every 250 centimeters, starting at the beginning. How many 250-centimeter sections does the runway have?
  4. The team cooler holds 2 gallons of water. Each of 12 players drinks 2 cups. Use 1 gal = 4 qt and 1 qt = 4 cups. How much water is left in the cooler?
    • 0.5 gallon
    • 1.5 gallons
    • 6 gallons
    • 8 gallons
  5. One lap of the Home Field track is 400 meters. Complete each row. Use 1 km = 1,000 m. Type numbers only.
  6. The weight room has 6 bars that each weigh 45 lb. Selim must write the total weight in ounces on a shipping label. Use 1 lb = 16 oz. How many ounces is that?

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.

  1. Match each Home Field measurement with the equal measurement in a different unit.
  2. Write a supply card for the harbor crew with three measurements in larger units, like feet, pounds or quarts. Convert each to a smaller unit with a conversion factor written as a ratio, and show which unit cancels. Then convert one answer back.
  3. 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.

  1. Lucia converts 48 ounces of chalk to pounds with 1 lb = 16 oz. Tap the first step where her work goes wrong.
  2. Kwame changes a 2-yard rope to inches. He knows 1 ft = 12 in and 1 yd = 3 ft. Tap the first step where his work goes wrong.
  3. In 1999 NASA lost the Mars Climate Orbiter because one team's numbers were in pound-force seconds (lbf·s) and the other team's software expected newton-seconds (N·s). Use 1 lbf ≈ 4.45 N. Here is a made-up check of an engine push of 100 lbf·s. Tap the first step where the work goes wrong.
  4. A sign says the discus throw went 300 cm. Ana says to find meters you multiply by 100. Ben says you divide by 100. Who is right?
    • Ana, because you always multiply when you convert units.
    • Ben: a meter is bigger, so there are fewer meters.
    • Both, because each one uses the factor 100 to convert.
    • Neither, because you add 100 to change the unit.
  5. What is the best next move?
    • Stop here, because 120 is the final answer now.
    • Multiply by 60 min / 1 h again, just to be sure.
    • Multiply by 1 min / 60 s, so the seconds cancel.
    • Multiply by 60 s / 1 min, to cancel the minutes.
  6. 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.

  1. A cycling route at Home Field is 7.5 km long. Use 1 km = 1,000 m. How many meters is the route?
  2. Three jumpers cleared these heights: Ravi 2 yd, Sol 5 ft, Tam 70 in. Use 1 yd = 3 ft and 1 ft = 12 in. Who jumped the highest?
    • Sol, with 5 feet
    • Tam, with 70 inches
    • Ravi, with 2 yards
    • All three are equal
  3. Water bottles at Home Field hold 1 pint. Use 1 gal = 8 pt. How many pints are in 3 gallons?
  4. A shot put weighs 4,500 g. The scoreboard shows weights in kilograms. Use 1 kg = 1,000 g. How many kilograms is the shot put?
  5. Coach Dara lines up 12 relay batons end to end. Each baton is 30 cm long. Use 1 m = 100 cm. How long is the line?
    • 0.36 m
    • 36 m
    • 360 m
    • 3.6 m
  6. Create your own Home Field conversion problem with two steps, such as yards to feet to inches. Show each conversion factor and each step, and explain how you know your answer is reasonable.
  7. 1 fresh problem with new numbers each time (interactive only).