Lesson 2: Finding Area by Decomposing and Rearranging
I know what it means for two figures to have the same area.
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.
Lesson 3: Reasoning to Find Area
I can use different reasoning strategies to find the area of shapes.
Lesson 4: Parallelograms
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: Bases and Heights of Parallelograms
I know what the terms "base" and "height" refer to in a parallelogram.
I can write and explain the formula for the area of a parallelogram.
I can identify pairs of base and height of a parallelogram.
Lesson 6: Area of Parallelograms
I can use the area formula to find the area of any parallelogram.
Lesson 7: From Parallelograms to Triangles
I can explain the special relationship between a pair of identical triangles and a parallelogram.
Lesson 8: Area of Triangles
I can use what I know about parallelograms to reason about the area of triangles.
Lesson 9: Formula for the Area of a Triangle
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: Bases and Heights of Triangles
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: Polygons
I can reason about the area of any polygon by decomposing and rearranging it, and by using what I know about rectangles and triangles.
I can describe the characteristics of a polygon using mathematical vocabulary.
Lesson 12: What is Surface Area?
I know what the surface area of a three-dimensional object means.
Lesson 13: Polyhedra
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: Nets and Surface Area
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: More Nets, More Surface Area
I can draw the nets of prisms and pyramids.
I can calculate the surface area of prisms and pyramids.
Lesson 16: Distinguishing Between Surface Area and Volume
I know how one-, two-, and three-dimensional measurements and units are different.
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.
Lesson 17: Squares and Cubes
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: Surface Area of a Cube
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: Designing a Tent
I can use surface area to reason about real-world objects.
I can apply what I know about the area of polygons to find the surface area of three-dimensional objects.
