1. Investigation 4 Cylinders, Cones, Spheres

2. Homework
Book Pg 82 A 1,4,5,8,10,15,16,20,25,26,48 B 1,7,9,10,15,17,20,25,26,47,50 IXL AA2 and AA3

3. Vocab
Cylinder Circular bases connected by a rectangle Sphere 3d Circle Cone Circular base, other end comes to a point

4. Invest 4.1 Networking: Surface Area of Cylinders
How can you calculate the surface area of a cylinder? Why does that strategy work?

5. Example
Get a net of a cylinder from the front table and work through page 73 problem 4.1

6. Notes
Parts to a Cylinder What is the net Rectangle and 2 circles Surface area C*h+2pir^2

7. Homework
You should be able to have the following problems finished 1

8. Invest 4.2 Wrapping Paper: Volume of Cylinders
How can you calculate the volume of a cylinder? How is the procedure similar to calculating the volume of a prism?

9. Example pg 74
Problem 4.2

10. Notes
Volume of a cylinder Larger the base the greater the volume Area of base times height

11. Homework
You should be able to have the following problems finished A 4 B 7,47

12. Invest 4.3 Comparing Juice Containers: Comparing Surface Area
How does the surface area of a cylinder compare to the surface area of a rectangular prism for a given volume?

13. Example Video
Pg 76 problem 4.3

14. Notes
Is a cylinder better, yes more volume What about surface area Square prism is better than a rectangular for volume, what about surface area Cylinder Surface area should be less, but not always skinny and tall would not be productive

15. Homework
You should be able to have the following problems finished A 8,48 B 9

16. Invest 4.4 Filling Cones and Spheres
If a sphere and a cone have the same dimensions as a cylinder, how do the volumes compare? What formulas for the volume of a sphere and the volume of a cone can you write using these relationships?

17. Example Video
Volumes comparing

18. Notes
Sphere and cone are less than the cylinder they fit into

19. Homework
You should be able to have the following problems finished A 10,15,16,20 B 10,15,17,20

20. Invest 4.5 Comparing Volumes of Spheres, Cylinders and Cones
What are some relationships you can use involving a cone, a sphere, and a cylinder with the same dimensions?

21. Notes
Finding volume of one shape and compare to another

22. Example
Pg 80 and 81 Problem 4.5