1. Geometry
Cakes and Pancakes

2. 4.2 Translating and Stacking Two-Dimensional Figures
Objectives
Apply translations to two-dimensional plane figures to create three-dimensional solids
Describe three-dimensional solids formed by translations of plane figures through space
Build three-dimensional solids by stacking congruent or similar two-dimensional plane figures

3. Problem 1 These Figures Take the Cake
Together #1
Each Lateral Face is a rectangle
The solid is a triangular prism
Has 2 bases that are triangles
Isometric Paper = Dot Paper

4. Problem 1 These Figures Take the Cake
Individually draw all of #2
Use a straightedge
When finished drawing, Collaborate #3
Total Time: 5 Minutes

6. Problem 1 These Figures Take the Cake
Right Triangular Prism
Formed when a triangle has been translated through space in a direction that is perpendicular to the plane
Oblique Triangular Prism
Formed when a triangle has been translated through space in a direction that is NOT perpendicular to the plane

7. Problem 1 These Figures Take the Cake
Together #4 and #5
The shape of the face of an oblique triangular prism is a parallelogram
The shape of each lateral face is a rectangle
The name of the figure formed is a rectangular prism
There are 2 bases in the shape of rectangles

8. Problem 1 These Figures Take the Cake
Collaborate 6-7 (5 Minutes)

9. Problem 1 These Figures Take the Cake
Right Rectangular Prism
Formed when a rectangle has been translated through space in a direction that is perpendicular to the plane
Oblique Rectangular Prism
Formed when a rectangle has been translated through space in a direction that is NOT perpendicular to the plane

10. Problem 1 These Figures Take the Cake
Together 8-12
The shape of the face of an oblique rectangular prism is a parallelogram
The shape of each lateral face is a rectangle
The name of the figure formed is a cylinder
There are 2 bases in the shape of circles

11. Problem 1 These Figures Take the Cake

12. Problem 1 These Figures Take the Cake
Right Cylinder
Formed when a circle has been translated through space in a direction that is perpendicular to the plane
Oblique Cylinder
Formed when a circle has been translated through space in a direction that is NOT perpendicular to the plane

13. Problem 1 These Figures Take the Cake
Together 13-14
The shape of the lateral face is a parallelogram

14. Problem 2: Congruent and Similar
Collaborate 1-4 (4 Minutes)
Together #5
The solid that is formed by stacking the polygons is a Right (Shape of the Base) Prism

15. Problem 2: Congruent and Similar
Collaborate 6-11 (Rest of Class: No HW) Page 312
#11 Prisms
To find the area of the base of the prism, we use the area formula for that particular shape
The height of the prism is the height of the stack
Volume of a prism would be the area of the base x height
#11 Cylinders
To find the area of the base of the cylinder, we use the area formula for a circle (𝜋 𝑟 2 )
The height of the cylinder is the height of the stack
Volume of a cylinder would be the area of the base x height
Together #12

16. Prisms Pyramids Cylinders Cones 𝑉= 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑏𝑎𝑠𝑒 𝑥 ℎ𝑒𝑖𝑔ℎ𝑡 𝑉=𝐵ℎ
𝑉= 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑏𝑎𝑠𝑒 𝑥 ℎ𝑒𝑖𝑔ℎ𝑡
𝑉=𝐵ℎ
Translating Polygons
Stacking Polygons
Pyramids
𝑉= 1 3 𝐵ℎ
Stacking Similar Polygons
Volume Formulas
and
Transformations
Cylinders
𝑉=𝜋 𝑟 2 ℎ
Translating Circles
Rotating Rectangles
Stacking Circles
Cones
𝑉= 1 3 𝜋 𝑟 2 ℎ
Rotating a Right Triangle
Stacking Similar Circles

17. Talk the Talk Pg. 315
Instead of cutting out the pieces, we will discuss which shapes are formed by the actions in the boxes
Sphere / Cone / Cylinder / Pyramid / Prism
We will work top to bottom then move over

18. Prism
Prism
Prism
Prism
Cylinder
Cylinder
Cone
Sphere
Cylinder
Cone
Sphere
Prism
Pyramid
Prism
Pyramid
Prism
Pyramid

19. Formative Assessment Skills Practice 4.2
Vocabulary Pg. 423 (1-7) Matching
Problem Set Pg (1-24)