Students will learn the basic properties of circles
Students will understand the relationship between the radius and diameter of a circle
Students will be able to calculate the circumference and area of a circle
Materials
Whiteboard and markers
Compasses
Worksheets
Calculators
Procedure
Introduction (5 minutes)
Begin by writing the word "circle" on the whiteboard.
Ask the students what they know about circles and have them share their responses.
Explain that circles are a closed shape with every point on the edge of the circle being equidistant from the center.
Properties of Circles (10 minutes)
Using the compass, draw a circle on the whiteboard and label the parts (center, radius, diameter, circumference, and area).
Discuss each part and its properties.
Have the students draw their own circles and label each part on their worksheets.
Radius and Diameter (5 minutes)
Explain that the diameter of a circle is twice the length of the radius.
Have the students measure and compare the radius and diameter of different circles on their worksheets.
Circumference (5 minutes)
Explain that the circumference is the distance around the circle.
Demonstrate how to calculate the circumference using the formula C = πd (or C = 2πr).
Have the students calculate the circumference of different circles on their worksheets.
Area (5 minutes)
Explain that the area of a circle is the amount of space inside the circle.
Demonstrate how to calculate the area using the formula A = πr^2.
Have the students calculate the area of different circles on their worksheets.
Conclusion (5 minutes)
Review the properties of circles, the relationship between the radius and diameter, and how to calculate the circumference and area.
Assign a worksheet for homework to reinforce the concepts learned in class.
Homework
Complete the worksheet provided in class, which includes problems covering the properties of circles, the relationship between the radius and diameter, and how to calculate the circumference and area.