6.10
The student will
a) define π (pi) as the ratio of the circumference of a circle to its diameter;
b) solve practical problems involving circumference and area of a circle, given the diameter or radius;
c) solve practical problems involving area and perimeter; and
d) describe and determine the volume and surface area of a rectangular prism.
Essential Knowledge and Skills (Full Curriculum Framework for this SOL)
- Derive an approximation for pi (3.14 or 22/7 ) by gathering data and comparing the circumference to the diameter of various circles, using concrete materials or computer models.
- Find the circumference of a circle by substituting a value for the diameter or the radius into the formula C = pd or C = 2pr.
- Find the area of a circle by using the formula
A = pr2.
- Apply formulas to solve practical problems involving area and perimeter of triangles and rectangles.
- Create and solve problems that involve finding the circumference and area of a circle when given the diameter or radius.
- Solve problems that require finding the surface area of a rectangular prism, given a diagram of the prism with the necessary dimensions labeled.
- Solve problems that require finding the volume of a rectangular prism given a diagram of the prism with the necessary dimensions labeled.
Textbook Correlation
| Topic: |
PH Course 1: |
| 6.10a Pi |
9-5 |
| 6.10b Circumference & Area |
9-5, 9-6 |
| 6.10c Area & Perimeter |
9-3, 9-4 |
| 6.10d Surface Area |
9-8 |
| 6.10d Volume |
9-9 |