1. Five-Minute Check (over Chapter 10) Mathematical Practices Then/Now
New Vocabulary
Example 1: Identify Cross Sections of Solid Figures
Example 2: Identify Solids of Revolution
Lesson Menu

2. Find the area of a rhombus with diagonals of 18 and 26.
A. 234 units2
B. 346 units2
C. 404 units2
D. 468 units2
5-Minute Check 1

3. Find the area of a trapezoid with bases of 14 and 30 and height of 5.
A. 188 units2
B. 142 units2
C. 110 units2
D. 104 units2
5-Minute Check 2

4. Find the area of a regular hexagon with side length of 18.
A units2
B units2
C units2
D units2
5-Minute Check 3

5. Find the area of a square with apothem length of 9.
A. 648 units2
B. 527 units2
C. 437 units2
D. 324 units2
5-Minute Check 4

6. Find the surface area of the cylinder.
A cm2
B cm2
C cm2
D cm2
5-Minute Check 5

7. Find the surface area of the regular pyramid.
A. 420 ft2
B. 480 ft2
C ft2
D. 710 ft2
5-Minute Check 6

8. Mathematical Practices 2 Reason abstractly and quantitatively.
4 Model with mathematics.
Content Standards
G.GMD.4 Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects. MP

9. Identify cross sections of three-dimensional figures.
You explored area of two-dimensional figures and surface area of three-dimensional figures.
Identify cross sections of three-dimensional figures.
Identify three-dimensional objects generated by rotations of two-dimensional objects.
Then/Now

10. cross section
solid of revolution
New Vocabulary

11. PRISMS A prism is a polyhedron with congruent,
Identify Cross Sections of Solid Figures
PRISMS A prism is a polyhedron with congruent,
parallel bases. If a plane intersects the prism parallel to the base, determine the shape of the cross section.
What will a slice of a prism look like?
A prism is the same shape at the top and bottom.
A slice or cross section of a prism will be the same shape as the base.
Answer: The cross section will be the same shape and size as the base.
Example 1

12. Use a piece of paper to represent the rectangle.
Identify Solids of Revolution
Describe the three-dimensional solid generated by rotating a rectangle 6 feet long and 4 inches wide around an axis that coincides with one of the shorter sides.
Use a piece of paper to represent the rectangle.
Rotate the paper around an axis.
Describe the shape.
The rectangle will become a cylinder.
Answer: Sample answer: A large cylinder with a diameter of 12 feet and a thickness of 4 inches.
Example 2