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

• 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