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

Lesson 7.77.7 Small Group · Group 1

Group 1 · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
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Learning target With my small group, 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 — one step at a time, with support.

Remember7.7 Small Group · Group 1

Vertices that share a coordinate form a side, and the side lengths from the coordinates give the perimeter. Plot the vertices and connect them in order. Two vertices that share a coordinate give a side length.

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 rectangle has vertices (−3, 4), (2, 4), (2, 1) and (−3, 1). Find its perimeter.

    Show your work

    Hint Find the side from (−3, 4) to (2, 4) and the side from (2, 4) to (2, 1). Each length appears twice.

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

    A rectangle has vertices (−3, 6), (3, 6), (3, 2) and (−3, 2). Find its perimeter.

    Show your work

    Hint Find the side across and the side up and down. Then add all four sides.

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

    A soccer field on a map has corners (−50, 30), (50, 30), (50, −30) and (−50, −30). Each unit is 1 yard. How many yards is it around the field?

    Show your work

    Hint "Around the field" means perimeter. Each side crosses an axis.

    Final answer:
  4. 4Complete each step, then write the final answer.
    −3−2−112345−2−11234(−2, −1)(4, −1)(4, 3)

    A triangle has vertices (−2, −1), (4, −1) and (4, 3). Find its area.

    Show your work

    Hint The base goes across and the height goes up and down. A triangle is half of a rectangle.

    Final answer:

Explain your thinkingSam added only two sides. Why must you count each length two times for the perimeter of a rectangle?

Sentence starter Sam forgot ___. · Each length counts two times because ___.

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