Students will practice using simple measuring skills to discover relationships between the diameter, radius, circumference, and area of circular objects. Students will understand why Pi is used when working with circles. They will be able to use this concept to find circumference and area of any circle when diameter or radius is given. This lesson has many real world applications such as understanding area of a circular rug to use as a floor covering and calculating circular lengths for landscaping.
Related Documents
Lesson Objectives
At the end of this lesson, students will be able to...
calculate the circumference of a circle when given the diameter or radius.
calcuate the area of a circle when given the diameter or radius.
Student Target
"I can...
determine the circumference of any circle when given the diameter or radius."
determine the area of any circle when given the diameter or radius."
CCR Focus Standards
Algebra and Functions - Level C
Write and evaluate numerical expressions involving whole-number exponents.
Algebra and Functions - Level D
Geometry - Level D
Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.
Supporting Standards
Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole- number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For example, use the formulas V = s^3 and A = 6 s^2 to find the volume and surface area of a cube with sides of length s = 1/2.
Standards for Mathematical Practice
Use appropriate tools strategically. (MP.5)
Attend to precision. (MP.6)
Look for and make use of structure. (MP.7)
KYAE Employability Standards
E.2 Utilize workplace tools and technologies to communicate effectively (e.g., memos/e-mails, basic computer programs, phone systems).
E.6 Identify and effectively use skills and materials needed for a particular task.
