# 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.