Introduction to Probability: Definition of Simple Probability. Applications of Probability in business, health, sports, politics, weather etc. Video on Probability. Aiden followed clearly the concept of Simple Probability and appreciated the connections identified for the important uses of Probability in everyday life, business etc.

Volume of Spheres and Hemispheres: Formula and method for determining volume of spheres and hemispheres. Example problem of calculating the volume of the Earth. Composite volumes involving Spheres and Hemispheres. Aiden clearly understands the method/formula for calculating volumes of spheres and hemispsheres. He enjoyed the exercise of determining the volume of the entire Earth which is assumed spherical. Review of Spheres /Hemispheres problems.

Topic 8-2 Find Volume of Cylinders – We practiced finding the volume of a cone by applying a similar procedure to the volume of a right prism. The volume of a sphere is the same as twice the volume of a cone with the same circular base and weight. We recognized the relationship between the volume of a rectangular prism and the volume of a cylinder. Then we solved real-world problems involving the volume of the cylinder.

Topic 8-1 Find Surface Area of Three-Dimensional Figures – We learned that formulas for finding the areas of polygons such as rectangles, squares, triangles, and circles can be used to find the surface areas of cylinders, cones, and spheres.
Topic 8-2 Find Volume of Cylinders – We applied our understanding of volume to cylinders. We learned that like prisms, cylinders have parallel, congruent bases. Therefore, the volume of a cylinder can be determined by multiplying the area of the base by the height of the cylinder.

Volume of Spheres and Hemispheres: Formula for determining volumes of Speres and Hemispheres. Composite 3-D solids involving spheres and hemispheres.

Topic 8-1 Find Surface Area of Three-Dimensional Figures – We learned how to determine the surface area of cylinders, cones, and spheres. We learned to draw a net for a cylinder and describe how the measures of its parts are related. We then connected it to finding the surface area of a cylinder. We examined the relationship between the surface area formulas of cones and cylinders to their corresponding nets.
Assignment: Complete assigned problems for homework.

Testing/ I planned for math.

Volume of Cones and Cylinders: Formula for Volume of Cones. Relationship to volume of cylinder. Composite volumes using cones and cylinders.

Volume of Pyramids and Cylinders: Formula for volume of cylinders and several example problems. Volume of a Compound solid consisting of a cylinder plus rectangular prism. Review problems of volume of various pyramids from an in-class worksheet. Aiden had little difficulty with the methods and required calculations for determining volumes of cylinders, pyramids, and compound (combined) 3-D shapes and solids.

Topic 8-1 Find Surface Area of Three-Dimensional Figures – We learned to use the Pythagorean Theorem to find unknown sides of a triangle. We understand that this only applies to right triangles. We learned that the inverse operation of squared terms is to take the square root. We practiced decomposing three-dimensional shapes into nets and finding the area of each surface.
Assignment: Complete assigned problems for homework.