I can plot ordered pairs in all four quadrants of the coordinate plane.Puedo ubicar pares ordenados en los cuatro cuadrantes del plano de coordenadas.
MissionMisión · Robot LabLaboratorio de robots · night shiftturno de noche
Test, measure, improve.Prueba, mide, mejora.
Power-down drill in the Robot Lab: the lights flicker and every robot forgets its map. Rebuild each route from clues about signs, moves and distances from the axes, and send every bot back to the right quadrant.
Simulacro de apagón en el Laboratorio de Robots: las luces parpadean y cada robot olvida su mapa. Reconstruye cada ruta con pistas sobre signos, movimientos y distancias a los ejes, y manda a cada robot de regreso al cuadrante correcto.
Word bankBanco de palabras 5 words5 palabrasordered pair, quadrant, axis, …par ordenado, cuadrante, eje, …
- ordered pairpar ordenado
- Two numbers (x, y) that name a point. x is the left/right move and y is the up/down move.Dos números (x, y) que nombran un punto. x es el movimiento a la izquierda o derecha y y es el movimiento hacia arriba o abajo.
- quadrantcuadrante
- One of the four regions of the coordinate plane, numbered I to IV starting at the upper right and going counterclockwise.Una de las cuatro regiones del plano de coordenadas, numeradas de I a IV empezando arriba a la derecha y en sentido contrario a las manecillas del reloj.
- axiseje
- One of the two number lines that cross at the origin. The x-axis runs left and right; the y-axis runs up and down.Una de las dos rectas numéricas que se cruzan en el origen. El eje x va de izquierda a derecha; el eje y va de arriba abajo.
- negative coordinatecoordenada negativa
- A coordinate less than zero. A negative x means left of the y-axis; a negative y means below the x-axis.Una coordenada menor que cero. Una x negativa significa a la izquierda del eje y; una y negativa significa debajo del eje x.
- originorigen
- The point (0, 0) where the two axes cross.El punto (0, 0) donde se cruzan los dos ejes.
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 Quadrant Error
- A point starts in Quadrant I at (4, 6). Describe a move that puts it in Quadrant III. What must happen to both coordinates? Can you give the exact new coordinates after your move?
- A point (a, b) has a < 0 and b < 0. In which quadrant does it lie?
- Quadrant I
- Quadrant II
- Quadrant IV
- Quadrant III
- A delivery robot starts at the dock, the origin. It rolls 7 units left, then 5 units up, then 3 units right, then 8 units down. In which quadrant does it stop?
- Quadrant I
- Quadrant II
- Quadrant III
- Quadrant IV
- A charging pad is a rectangle centered on the dock (the origin). It is 10 units wide and 6 units tall, and its sides are parallel to the axes. Fill in the coordinates of each corner and its quadrant (I, II, III or IV).
- A sensor reports eight objects: A(−6, 4), B(3, −2), C(0, −5), D(−1, −1), E(7, 0), F(2, 6), G(−4, −8) and H(5, −7). How many of them are in Quadrant III or Quadrant IV?
- A robot starts at (−5, 3). It moves right and then down. Which pair of moves ends in Quadrant IV?
- 5 units right, then 3 units down
- 4 units right, then 2 units down
- 8 units right, then 2 units down
- 6 units right, then 4 units down
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.
- Start at the origin each time. Match each set of moves to the ordered pair where the robot ends.
- Design a rectangular park with one corner in each of the four quadrants. List its four ordered pairs, name each corner's quadrant, and explain how the signs of the coordinates told you the quadrant.
- 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.
- Tomás names the quadrant for the point (4, −7).
- Mei names the quadrant for the point (−5, 2).
- Ravi names the location of the sensor at (0, −6).
- Mei plots (−3, 5) by moving 3 units left and 5 units up from the origin. Jamal plots the same pair by moving 5 units left and 3 units up. Who plots it correctly?
- Jamal: the bigger number is the left/right move.
- Mei: first coordinate is x; −3 means left.
- Both: their points end in the same quadrant.
- Neither: you must move up before you move left.
- What is the best next move?
- Move down far enough that the y-coordinate is below 0.
- Move down exactly 3 units.
- Move right again, because Quadrant IV is on the right.
- Move up until the y-coordinate is negative.
- 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.
- p is a positive number and q is a negative number. In which quadrant is the point (−p, q)?
- Quadrant I
- Quadrant II
- Quadrant III
- Quadrant IV
- A robot starts at (3, −9) and moves straight up 14 units. What is its new y-coordinate?
- A point is in Quadrant III. It is 6 units from the x-axis and 4 units from the y-axis. What are its coordinates?
- (−6, −4)
- (4, 6)
- (−4, 6)
- (−4, −6)
- Which set of corners makes a rectangle with one corner in each of the four quadrants?
- (−5, 4), (5, 4), (5, −2), (−5, −2)
- (1, 4), (6, 4), (6, 1), (1, 1)
- (−3, 2), (4, 2), (4, 0), (−3, 0)
- (2, 3), (6, 3), (6, −3), (2, −3)
- Four sensors K, L, M and N are marked on the graph. Which ordered pair names the sensor that is in Quadrant IV?
- (−4, 5)
- (5, −4)
- (4, −5)
- (5, 4)
- Write one ordered pair in each of the four quadrants, using whole numbers from −9 to 9. Then explain how the signs of the coordinates tell you the quadrant, and say what is different about a point on an axis.