Grade 6 Mathematics · Unit 7: Integers, Rational Numbers, and the Coordinate PlaneStandard 6.GR.3

Lesson 7.77.7 Small Group · Group 2

Group 2 · Set BSecond challenge form · new problems, same idea

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Learning target 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, explain what each part stands for, and build one for a situation I have not seen before.

Remember7.7 Small Group · Group 2

Coordinates give exact side lengths, so you can find a missing vertex, the perimeter, and the area without measuring. Use the coordinates you know to find a missing vertex. Then use the side lengths to find area.

Words: vertex (vértice)polygon (polígono)perimeter (perímetro)distance between vertices (distancia entre vértices)scale (escala)

  1. 1Complete each step, then write the final answer.

    A square has vertices (−1, 2), (3, 2), (3, −2) and (−1, −2). Each grid unit is 10 feet. What is the perimeter in feet?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.

    Three vertices of a rectangle are (−4, 2), (4, 2) and (4, −3). What is the area of the rectangle?

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.

    A school draws its playground on a grid. The corners are (−20, 10), (25, 10), (25, −10) and (−20, −10). Each unit is 1 meter. How many meters of fence go all the way around?

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.
    −5−4−3−2−1123456−3−2−11234(−4, 3)(2, 3)(2, 0)(5, 0)(5, −2)(−4, −2)
    An L-shape. Split it into two rectangles.

    A polygon has vertices (−4, 3), (2, 3), (2, 0), (5, 0), (5, −2) and (−4, −2). Find its area.

    Show your work
    Final answer:

Explain your thinkingSpace B is longer than Space A, but Space A has more area. How can that be? Use the side lengths to explain.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help