I can use a ratio table to find equivalent ratios.Puedo usar una tabla de razones para hallar razones equivalentes.
MissionMisión · Case FilesExpedientes · night shiftturno de noche
Follow the numbers to the truth.Sigue los números hasta la verdad.
A midnight break-in has scrambled the evidence tables, and some rows are fake. Spot which rows keep the ratio and fix the ones that do not before sunrise.
Un robo a medianoche revolvió las tablas de evidencia, y algunas filas son falsas. Detecta qué filas mantienen la razón y corrige las que no, antes del amanecer.
Word bankBanco de palabras 4 words4 palabrasratio table, equivalent ratio, scale factor, …tabla de razones, razón equivalente, factor de escala, …
- ratio tabletabla de razones
- A table of equal ratios that shows a pattern.Una tabla de razones iguales que muestra un patrón.
- equivalent ratiorazón equivalente
- Two ratios that mean the same thing, like 1:2 and 2:4.Dos razones que significan lo mismo, como 1:2 y 2:4.
- scale factorfactor de escala
- The number you multiply both parts of a ratio by to get an equal ratio.El número por el que multiplicas ambas partes de una razón para obtener una razón igual.
- patternpatrón
- A rule that numbers follow again and again.Una regla que los números siguen una y otra vez.
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 Devon's Mistake
- A recipe uses 4 cups of flour for every 3 cups of sugar. A student filled in a ratio table: 4:3, 8:6, 12:9, 14:12. Find and fix the error in the last row. Explain what went wrong.
- Fill in the table
- The lab's invisible-ink formula uses 3 drops of reagent with 4 mL of water in one batch. Fill in the missing numbers so every row keeps the same ratio.
- A footprint photo is enlarged. The ratio table shows real length to photo length. What real length, in centimeters, matches a 35 cm photo?
- Detective Lee built this ratio table for the code ratio 2:3, but one row is wrong. Which row is wrong, and what should it be?
- Row 4 should be 8:12.
- Row 2 should be 4:5.
- Row 3 should be 6:8.
- Row 5 should be 10:13.
- A lab mixes 5 mL of dye with 8 mL of solvent in the smallest batch. A big case needs 35 mL of dye. How many milliliters of solvent keep the same ratio?
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.
- The crime lab's table is for the ratio 3:5. Sort each row by whether it keeps the ratio.
- Invent your own train. Choose how many passengers fit in one carriage, then build a ratio table with four rows. Change one row so it breaks the pattern and explain how a classmate can spot it.
- 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 technician scaled an ink formula. One step goes wrong. Tap the first step that is wrong.
- A detective scaled an evidence ratio. One step goes wrong. Tap the first step that is wrong.
- A lab tech shrank a formula. One step goes wrong. Tap the first step that is wrong.
- A ratio table for 2:3 has rows 2:3, 4:6, and 6:9. Ana adds 2 and 3 to get 8:12. Dev adds 2 to both numbers to get 8:11. Eli says 2:3 times 4 is 8:12, so the next row is 8:12. Who finds the next row correctly?
- Ana and Eli
- Dev and Ana
- Dev and Eli
- All three
- What is the best next move?
- Start with 2 : 3 and multiply both numbers by 11.
- Say there is no such row: 22 is not a multiple of 6.
- Start with 6 : 9 and add 16 to both to get 22 : 25.
- Multiply both numbers in 6 : 9 by 22 to get the row.
- 2 fresh problems 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 case ratio is 7 clues to 3 suspects. A bigger file has 35 clues. How many suspects keep the same ratio?
- A table shows 4:9 and 20:45. What scale factor takes the first row to the second row?
- A lab table has the row 18:24. Which ratio could also be a row in the same table?
- 6:9
- 9:16
- 3:4
- 13:19
- A case file needs 3 evidence stickers for every 2 bags. There are 18 bags, and 10 stickers are already on them. How many more stickers are needed?
- Which reason proves that 12:16 and 15:20 are equivalent ratios?
- The differences are 3 and 4, which is close.
- Both rows simplify to the same ratio, 3:4.
- Both first numbers are multiples of 3.
- The second number is bigger in both.
- Invent a mystery-lab formula with two ingredients. Build a ratio table with at least four rows, explain how you found each new row, and say why adding the same number to both columns does not work.