6.1 Area and Surface Area

Lesson 1

  • I can explain the meaning of area.

Lesson 2

  • I can explain how to find the area of a figure that is composed of other shapes.
  • I know how to find the area of a figure by decomposing it and rearranging the parts.
  • I know what it means for two figures to have the same area.

Lesson 3

  • I can use different reasoning strategies to find the area of shapes.

Lesson 4

  • I can use reasoning strategies and what I know about the area of a rectangle to find the area of a parallelogram.
  • I know how to describe the features of a parallelogram using mathematical vocabulary.

Lesson 5

  • I can identify pairs of base and height of a parallelogram.
  • I can write and explain the formula for the area of a parallelogram.
  • I know what the terms "base" and "height" refer to in a parallelogram.

Lesson 6

  • I can use the area formula to find the area of any parallelogram.

Lesson 7

  • I can explain the special relationship between a pair of identical triangles and a parallelogram.

Lesson 8

  • I can use what I know about parallelograms to reason about the area of triangles.

Lesson 9

  • I can use the area formula to find the area of any triangle.
  • I can write and explain the formula for the area of a triangle.
  • I know what the terms “base” and “height” refer to in a triangle.

Lesson 10

  • I can identify pairs of base and corresponding height of any triangle.
  • When given information about a base of a triangle, I can identify and draw a corresponding height.

Lesson 11

  • I can describe the characteristics of a polygon using mathematical vocabulary.
  • I can reason about the area of any polygon by decomposing and rearranging it, and by using what I know about rectangles and triangles.

Lesson 12

  • I know what the surface area of a three-dimensional object means.

Lesson 13

  • I can describe the features of a polyhedron using mathematical vocabulary.
  • I can explain the difference between prisms and pyramids.
  • I understand the relationship between a polyhedron and its net.

Lesson 14

  • I can match polyhedra to their nets and explain how I know.
  • When given a net of a prism or a pyramid, I can calculate its surface area.

Lesson 15

  • I can calculate the surface area of prisms and pyramids.
  • I can draw the nets of prisms and pyramids.

Lesson 16

  • I can explain how it is possible for two polyhedra to have the same surface area but different volumes, or to have different surface areas but the same volume.
  • I know how one-, two-, and three-dimensional measurements and units are different.

Lesson 17

  • I can write and explain the formula for the volume of a cube, including the meaning of the exponent.
  • When I know the edge length of a cube, I can find the volume and express it using appropriate units.

Lesson 18

  • I can write and explain the formula for the surface area of a cube.
  • When I know the edge length of a cube, I can find its surface area and express it using appropriate units.

Lesson 19

  • I can apply what I know about the area of polygons to find the surface area of three-dimensional objects.
  • I can use surface area to reason about real-world objects.