1. Draw isometric views of three-dimensional figures.
Investigate cross sections of three- dimensional figures.
Splash Screen

2. Mathematical Practices 5 Use appropriate tools strategically.
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.
Mathematical Practices
5 Use appropriate tools strategically.
1 Make sense of problems and persevere in solving them.
CCSS

3. isometric view
cross section
Vocabulary

4. Vocabulary

5. Use Dimensions of a Solid to Sketch a Solid
Use isometric dot paper to sketch a triangular prism 6 units high, with bases that are right triangles with legs 6 units and 4 units long.
Step 1 Mark the corner of the solid, then draw segments 6 units down, 6 units to the left, and 4 units to the right.
Example 1

6. Step 2 Draw the triangle for the top of the solid.
Use Dimensions of a Solid to Sketch a Solid
Step 2 Draw the triangle for the top of the solid.
Example 1

7. Use Dimensions of a Solid to Sketch a Solid
Step 3 Draw segments 6 units down from each vertex for the vertical edges.
Example 1

8. Use Dimensions of a Solid to Sketch a Solid
Step 4 Connect the corresponding vertices. Use dashed lines for the hidden edges. Shade the top of the solid.
Answer:
Example 1

9. Which diagram shows a rectangular prism 2 units high, 5 units long, and 2 units wide?
A. B.
C. D.
Example 1

10. Use an Orthographic Drawing to Sketch a Solid
Use isometric dot paper and the orthographic drawing to sketch a solid.
The top view indicates one row of different heights and one column in the front right.
Example 2

11. Use Dimensions of a Solid to Sketch a Solid
The front view indicates that there are four standing columns. The first column to the left is 2 blocks high, the second column is 3 blocks high, the third column is 2 blocks high, and the fourth column to the far right is 1 block high. The dark segments indicate breaks in the surface.
The right view indicates that the front right column is only 1 block high. The dark segments indicate a break in the surface.
Example 2

12. The left view indicates that the back left column is 2 blocks high.
Use Dimensions of a Solid to Sketch a Solid
The left view indicates that the back left column is 2 blocks high.
Draw the figure so that the lowest columns are in front and connect the dots on the isometric dot paper to represent the edges of the solid.
Answer:
Example 2

13. top view
left view
front view
right view
Which diagram is the correct corner view of the figure given the orthographic drawing?
A. B.
C. D.
Example 2

14. Example 3

15. Identify Cross Sections of Solids
BAKERY A customer ordered a two-layer sheet cake. Determine the shape of each cross section of the cake below.
Example 3

16. Identify Cross Sections of Solids
Answer:
If the cake is cut horizontally, the cross section will be a rectangle.
If the cake is cut vertically, the cross section will also be a rectangle.
Example 3

17. Homework
Page 841 (8-14 Even, 16-19, 25-27)
Example 3