Topic 8 Solve Problems Involving Surface Area and Volume
Lesson Outline
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
Solve Problems Using Angle Relationships – We reviewed the concepts of supplementary, adjacent, and vertical angles and how they are used to find measurements. We discovered that the measure of angles that are formed by intersecting lines and rays can be determined when the relationships between different types of angles are known. We used our knowledge of complementary and supplementary angles to set up algebraic equations to solve for the measure of angles.
We practiced solving probability problems. Probability is simply how likely something is to happen. Whenever we’re unsure about the outcome of an event, we can calculate the probabilities of certain outcomes. We learned that the analysis of events governed by probability is called statistics.
8-6 Solve Problems Involving Area of a Circle – We calculated the area of a circle and used it to find the radius and diameter. Next, we practiced solving problems involving the area of a circle. We used the formula for the area of a circle to solve problems by substituting the known values for area and/or radius to solve for the unknown value. Then we calculated the circumference of circles.
Topic 8 Solve Problems Involving Surface Area and Volume
Lesson Outline
We reviewed the process for finding the area and perimeter of several shapes. Then we examined the three-dimensional shapes that we will look at in the next topic. We went over the process for finding the circumference and area of circles.
7-1 Solving Two-Step Equations – We started by practicing simplifying algebraic expressions by using the distributive property on integers. Then we combined like terms to simplify the expressions.
Topic 7 Understand and Apply the Pythagorean Theorem – We completed a graphic on applying the Pythagorean Theorem to find the sides of several triangles.