I can graph the values from a ratio table as points on the coordinate plane.Puedo graficar los valores de una tabla de razones como puntos en el plano de coordenadas.
MissionMisión · Corner KitchenCocina de la esquina · night shiftturno de noche
Cook up the right answer.Cocina la respuesta correcta.
It is dinner rush at Corner Kitchen and the order board is a grid of points. Read each graph fast and true: one swapped coordinate sends the wrong food to the wrong table.
Es la hora pico de la cena en Corner Kitchen y el tablero de pedidos es una cuadrícula de puntos. Lee cada gráfica con rapidez y exactitud: una coordenada invertida manda la comida equivocada a la mesa equivocada.
Word bankBanco de palabras 5 words5 palabrasordered pair, coordinate plane, origin, …par ordenado, plano cartesiano, origen, …
- ordered pairpar ordenado
- Two numbers (x, y) that tell where a point is on a grid.Dos números (x, y) que dicen dónde está un punto en una cuadrícula.
- coordinate planeplano cartesiano
- A grid with a horizontal line and a vertical line used to plot points.Una cuadrícula con una línea horizontal y una vertical para marcar puntos.
- originorigen
- The point (0, 0) where the two axes cross.El punto (0, 0) donde se cruzan los dos ejes.
- proportionalproporcional
- Two amounts that grow together at the same rate.Dos cantidades que crecen juntas al mismo ritmo.
- unit rate pointpunto de tasa unitaria
- The point (1, r) on a ratio graph, where r is the amount for one.El punto (1, r) en una gráfica de razones, donde r es la cantidad para uno.
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 Jada's Mistake
- A student plots the points (1, 3), (2, 6), (3, 9), and (4, 15) from a ratio table. She says they form a straight line because they go up. Is she correct? Explain how to check.
- A bakery graphs trays of muffins (x) and muffins baked (y), as shown in the graph. Which ordered pair is also on the line?
- (5, 20)
- (30, 5)
- (5, 30)
- (4, 28)
- The graph shows cups of flour (y) for loaves of bread (x). The points follow a straight line through the origin. How many cups of flour do 9 loaves need?
- Each tray holds the same number of eggs. Fill in the missing numbers, using the eggs per tray.
- Chef Omar plots cupcakes (x) and dollars (y) for four orders: (1, 3), (2, 5), (3, 7), (4, 9), as shown in the graph. Which statement is true?
- The points make a straight line, so every pair has the same ratio.
- The ratios 3:1, 5:2, and 7:3 differ, and the line misses (0, 0).
- It is a ratio relationship, because y goes up by 2 every time.
- The ratios 1:3, 2:5, 3:7, and 4:9 are all equal to each other.
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.
- A kitchen uses 5 cups of flour for every 2 loaves, so its line follows y = 2.5 × x. Sort each point by whether it is on that line.
- Choose a rule, like 6 passengers per carriage. Write five ordered pairs, say what the x-axis and y-axis show, and add one point that does not belong. Explain where that point sits compared with the line through the origin.
- 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 cook plotted a point for a tray order. One step goes wrong. Tap the first step that is wrong.
- A cook found a point on a line. One step goes wrong. Tap the first step that is wrong.
- A cook checked whether four points are on one line through the origin. One step goes wrong. Tap the first step that is wrong.
- On a graph of loaves (x) and cups of flour (y), a point is plotted at (4, 10). Ana says it means 10 cups of flour for 4 loaves. Ben says it means 4 cups of flour for 10 loaves. Who is right?
- Ana, because x counts loaves and y counts cups.
- Ben, because the bigger number is always the loaves.
- Both, because a point can be read in either order.
- Neither, because (4, 10) means 14 things in all.
- What is the best next move?
- Say yes, because all the points make a straight line.
- Subtract y − x at each point: 3, 3, 3. It is the same.
- Check whether the line goes through (0, 0) or not.
- Say yes, since y gets bigger as x gets bigger here.
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 straight line through the origin passes through the point (5, 20) on a graph of batches (x) and cups of milk (y). What is the y-value of the point on the line where x = 8?
- A graph shows the ratio 2:3 with x as the first number and y as the second. Which point is NOT on that line?
- (4, 6)
- (6, 9)
- (10, 15)
- (8, 11)
- The graph shows loaves of bread (x) and cups of flour (y). What does the point (1, 3) tell you?
- One loaf needs 3 cups of flour.
- Three loaves need 1 cup of flour.
- The kitchen has 4 items in all.
- It shows where the line starts.
- A ratio table gives the points (2, 7), (4, 14), and (6, 21) for trays (x) and pounds of dough (y). On the same line, how many pounds of dough go with 10 trays?
- Which situation would NOT make a straight line through (0, 0) when graphed?
- Tomatoes cost $3 for each kilogram of tomatoes.
- A cooking class costs $10 to join plus $2 per lesson.
- Each loaf of bread needs exactly 3 cups of flour.
- Each tray holds exactly 12 eggs, no matter how many trays.
- Make up a kitchen recipe with a ratio between two ingredients. Write a ratio table with at least four rows, list the ordered pairs, and explain what shape the points will make when you plot them, and why.