I can draw polygons from their vertex coordinates on the coordinate plane, and use coordinates to find side lengths and solve perimeter and area problems.Puedo dibujar polígonos a partir de las coordenadas de sus vértices en el plano de coordenadas y usar coordenadas para hallar longitudes de lados y resolver problemas de perímetro y área.
MissionMisión · Orbit StationEstación orbital
Mission control needs your math.El control de la misión necesita tus matemáticas.
Orbit Station is adding a ring of solar panels. Each panel is a polygon on the engineers' grid map, and its corners are ordered pairs. Use the coordinates to find side lengths, perimeter and area before anyone cuts metal.
La Estación Órbita está añadiendo un anillo de paneles solares. Cada panel es un polígono en el mapa de cuadrícula de los ingenieros, y sus esquinas son pares ordenados. Usa las coordenadas para hallar las longitudes de los lados, el perímetro y el área antes de cortar el metal.
Word bankBanco de palabras 5 words5 palabrasvertex, polygon, perimeter, …vértice, polígono, perímetro, …
- vertexvértice
- A corner of a polygon. On the grid you name it with an ordered pair, like (4, −2).Una esquina de un polígono. En la cuadrícula se nombra con un par ordenado, como (4, −2).
- polygonpolígono
- A closed shape made of straight sides. You draw it by plotting the vertices and joining them in order.Una figura cerrada hecha de lados rectos. Se dibuja marcando los vértices y uniéndolos en orden.
- perimeterperímetro
- The distance around a polygon. Add all of its side lengths.La distancia alrededor de un polígono. Suma las longitudes de todos sus lados.
- absolute valuevalor absoluto
- How far a number is from 0. To find a side length, subtract the coordinates that are different and use the absolute value.Qué tan lejos está un número del 0. Para hallar la longitud de un lado, resta las coordenadas que son distintas y usa el valor absoluto.
- coordinate planeplano cartesiano
- A grid made by the x-axis (left and right) and the y-axis (up and down). Each point has an ordered pair.Una cuadrícula formada por el eje x (izquierda y derecha) y el eje y (arriba y abajo). Cada punto tiene un par ordenado.
Stage 1 of 5Etapa 1 de 5
Get ReadyPrepárate
Wake up what you know, then explore today's model.
Activa lo que sabes y luego explora el modelo de hoy.
- A (−3, −1) and B (2, 2) are opposite corners of a park. Predict the other two corners, the width, and the height. Test your prediction in the model. Write your prediction, your test, and your evidence. Then find the perimeter.
- What is the distance between (−5, 2) and (3, 2)?
- 2 units
- 8 units
- −8 units
- 15 units
- What is the horizontal distance between (−4, 5) and (2, 5)?
- 2
- −2
- 6
- −6
- What is the vertical distance between (3, −2) and (3, 6)?
- 3
- 4
- 8
- −8
- 1 fresh problem with new numbers each time (interactive only).
Stage 2 of 5Etapa 2 de 5
Try ItInténtalo
Use the hints when you need them. Every wrong answer tells you why.
Usa las pistas cuando las necesites. Cada respuesta incorrecta te dice por qué.
- Vertices (−4.5, 3) and (5, 3) share y = 3. What is the distance between them?
- 0.5 units
- 1.5 units
- 8 units
- 9.5 units
- Vertices (5, 3) and (5, −3.75) share x = 5. What is the distance between them?
- 0.75 units
- 5 units
- 6.75 units
- 8.75 units
- What is the perimeter of the rectangle with side lengths 9.5 and 6.75 units?
- 16.25 units
- 26 units
- 32.5 units
- 64.125 units
Stage 3 of 5Etapa 3 de 5
On Your OwnPor tu cuenta
Tables, mistakes to find, and problems with a few steps.
Tablas, errores por encontrar y problemas de varios pasos.
- The park's marked vertices are 3 units apart and each unit is 100 feet. What is the park's width?
- 3 feet
- 30 feet
- 103 feet
- 300 feet
- The park's area must be 240,000 sq ft and its width is 300 ft. What is its length?
- 720 feet
- 800 feet
- 80,000 feet
- 240,300 feet
- The length is 800 feet and each unit represents 100 feet. How many units long is the park on the map?
- 0.8 units
- 8 units
- 80 units
- 800 units
- What is the best next move?
- Double 8 to get 16 units.
- Subtract y-values: 5 − (−1).
- Multiply 8 by the other side length.
- Add the x-coordinates of all four vertices.
Stage 4 of 5Etapa 4 de 5 · OptionalOpcional
Practice MorePractica más
Optional extra practice. Press New numbers for another problem on the same skill.
Práctica extra opcional. Toca Números nuevos para otro problema de la misma habilidad.
- 5 fresh problems with new numbers each time (interactive only).
Stage 5 of 5Etapa 5 de 5
Show What You KnowDemuestra lo que sabes
Show what you learned today. Take your time; you can try again.
Muestra lo que aprendiste hoy. Tómate tu tiempo; puedes intentarlo otra vez.
- The two known vertices of the park are 3 units apart, and each grid unit represents 100 feet. What is the park's width in feet?
- 3 feet
- 30 feet
- 103 feet
- 300 feet
- The park's area must be 240,000 sq ft and its width is 300 ft. What is its length?
- 720 feet
- 800 feet
- 80,000 feet
- 240,300 feet
- The park's length is 800 feet, and each grid unit represents 100 feet. How many units below the known vertices do the new corners sit?
- 0.8 units
- 8 units
- 80 units
- 800 units