1. Unit 4: Circles and Volume
Dimensional Figures

2. Daily Agenda 4-8 3-Dimensional Figures polyhedron edge face vertex
How will I show you that I’ve learned it?
Daily 5 Question Check for Understanding
Daily Ticket out the Door
What am I going to do today?
Cross Sections
3-Dimensional Figures
What am I learning today?
G.GMD.4 Identify the shapes of two-dimensional cross-sections of three-dimensional objects and rotations
polyhedron
edge
face
vertex
diagonal
cross section

3. Daily Agenda 4-8 3-Dimensional Figures What am I learning today?
How will I show you that I’ve learned it?
Daily 5 Question Check for Understanding
Daily Ticket out the Door
What am I going to do today?
Cross Sections
3-Dimensional Figures
What am I learning today?
G.GMD.4 Identify the shapes of two-dimensional cross-sections of three-dimensional objects and rotations

4. Daily Agenda 4-8 3-Dimensional Figures polygon circles congruent
How will I show you that I’ve learned it?
Daily 5 Question Check for Understanding
Daily Ticket out the Door
What am I going to do today?
Cross Sections
3-Dimensional Figures
What am I learning today?
G.GMD.4 Identify the shapes of two-dimensional cross-sections of three-dimensional objects and rotations
circles
congruent
similar
triangle
circle

5. Daily Agenda 4-8 3-Dimensional Figures axis What am I learning today?
How will I show you that I’ve learned it?
Daily 5 Question Check for Understanding
Daily Ticket out the Door
What am I going to do today?
Cross Sections
3-Dimensional Figures
What am I learning today?
G.GMD.4 Identify the shapes of two-dimensional cross-sections of three-dimensional objects and rotations
axis

6. Daily Agenda 4-8 3-Dimensional Figures Example 3 𝑽=𝝅 𝒓 𝟐 𝒉
How will I show you that I’ve learned it?
Daily 5 Question Check for Understanding
Daily Ticket out the Door
What am I going to do today?
Cavalieri’s Principle
Density
What am I learning today?
G.GMD.2 Give an informal argument using Cavalieri’s Principle for the formulas for the volume of a sphere and other solids
Example 3
𝑽=𝝅 𝒓 𝟐 𝒉
Cylinder A:
Cylinder B:
𝑉=𝜋 (5) 2 (12)
𝑉=𝜋 (5) 2 (12)
𝑉=300𝜋
𝑉=300𝜋
𝑉=942.5 𝑚 3
𝑉=942.5 𝑚 3

7. Daily Agenda 4-8 3-Dimensional Figures Example 4
How will I show you that I’ve learned it?
Daily 5 Question Check for Understanding
Daily Ticket out the Door
What am I going to do today?
Cavalieri’s Principle
Density
What am I learning today?
G.GMD.2 Give an informal argument using Cavalieri’s Principle for the formulas for the volume of a sphere and other solids
Example 4