I can find the distance between two points on the coordinate plane using absolute value.Puedo hallar la distancia entre dos puntos del plano de coordenadas usando el valor absoluto.
MissionMisión · Rooftop GardenJardín en la azotea · night shiftturno de noche
Grow your skills.Haz crecer tus habilidades.
The garden has overgrown, and the old plan is hidden under the vines. Work out the distances between the beds from their coordinates before the next planting season.
El jardín creció sin control y el plano viejo quedó escondido entre las enredaderas. Calcula las distancias entre las parcelas a partir de sus coordenadas antes de la próxima temporada de siembra.
Word bankBanco de palabras 5 words5 palabrasabsolute value, horizontal distance, vertical distance, …valor absoluto, distancia horizontal, distancia vertical, …
- absolute valuevalor absoluto
- How far a number is from 0. It is never negative.Qué tan lejos está un número del 0. Nunca es negativo.
- horizontal distancedistancia horizontal
- How far apart two points are going left or right.Qué tan separados están dos puntos yendo a la izquierda o a la derecha.
- vertical distancedistancia vertical
- How far apart two points are going up or down.Qué tan separados están dos puntos yendo hacia arriba o hacia abajo.
- coordinate planeplano cartesiano
- A grid with a horizontal line and a vertical line that cross, used to plot points.Una cuadrícula con una línea horizontal y una vertical que se cruzan, para ubicar puntos.
- axiseje
- A number line that makes the grid. The x-axis runs left and right. The y-axis runs up and down.Una recta numérica de la cuadrícula. El eje x va a la izquierda y a la derecha. El eje y va hacia arriba y hacia abajo.
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 Distance Error
- A rectangle has vertices at (-4, -2), (3, -2), (3, 5), and (-4, 5). Find the length, width, perimeter, and area of the rectangle. Show your work using absolute value.
- A rectangle has corners (1, 2), (1, 5), (5, 5), and (5, 2). What is its perimeter?
- 7 units
- 10 units
- 12 units
- 14 units
- On the garden grid, each unit is 1 foot. A hose runs from the tomato bed straight across to the herb bed, then straight down to the pepper bed. How many feet of hose are needed in all?
- The gardener measures between pairs of beds that share a row or a column. Write the distance between each pair, and write 1 if the changing coordinates are on the same side of 0 or 2 if they are on opposite sides. Fill in every empty cell.
- A rectangular garden bed has corners at (−3, −2), (4, −2), (4, 3) and (−3, 3), as shown on the grid. Each unit is 1 foot. How many feet of fence go around the bed?
- 24 feet
- 12 feet
- 35 feet
- 4 feet
- A garden path runs along the row y = 2 from x = −7 to x = 4. The gardener plants one bush at every whole-number x-value on the path, including both end points. How many bushes does she plant?
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.
- Each pair of garden stakes shares a row or a column. Sort the pairs by how you find the distance.
- Design a delivery route with three straight segments. Each segment must be horizontal or vertical, and at least one must cross an axis. Write every endpoint as an ordered pair, find each segment's distance with absolute value, and then find the total route length.
- 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.
- Pablo finds the distance between (−8, 1) and (5, 1). Find the step where his work goes wrong.
- Sofía finds the distance between (−4, −2) and (−4, −8). Find the step where her work goes wrong.
- Teo finds the distance between (3, −2) and (3, 5). Find the step where his work goes wrong.
- Find the distance from (−3, 4) to (−3, −6). Ula says 10 units, because |4| + |−6| = 10. Van says 2 units, because 6 − 4 = 2. Wes says −10 units, because the point is below the other. Who is right?
- Van
- Wes
- Ula and Wes
- Ula
- What is the best next move?
- Change −3 to 3, because distance is positive.
- Subtract the x-coordinates: −8 − (−8).
- Add vertical distances: 7 + 4.
- Keep −3, because the move goes down.
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.
- What is the distance between (−9, 5) and (4, 5)?
- 5 units
- 13 units
- 9 units
- 4 units
- How many units apart are (7, −12) and (7, −4)?
- Four plant stakes are on the grid: P at (−3, 4), Q at (5, 4), R at (−3, −5) and S at (2, −5). Which pair of stakes is exactly 8 units apart?
- P and R
- R and S
- P and Q
- Q and S
- A rectangular herb bed has corners at (−6, −3), (2, −3), (2, 4) and (−6, 4). Each unit is 1 foot. What is the area of the bed in square feet?
- Two scarecrows stand on the same vertical line, 11 units apart. One scarecrow is at (5, −4). Which point could be the other scarecrow?
- (5, 7)
- (5, 11)
- (16, −4)
- (5, −7)
- Create your own garden bed. Choose four corners of a rectangle that cross at least one axis. Use absolute value to find the length of each side, then find the perimeter, and explain when you add and when you subtract.