Diameter of A Circle
Mathematics, level: 4-6
Subject: Math Teacher: Mariam Santina
Topic: Circles Grade level: Fifth grade
Duration: 55 minutes Date: 15-11-2016
Materials Required: Graph papers, compos, ruler
Concepts Taught: Diameter of a circle
Objectives:
At the end of the lesson students should be able to:
Draw the diameter of a circle of center O
Use the relation Diameter = 2*Radius
Draw a circle where we know the length of the diameter and a circle
where we know the diameter
Introduction: (2min)
The teacher starts the lesson by showing a ball. The teacher asks the
students about its shape (round as 3-dimensional). Then the teacher gets a
thread or a rubber to trace the ball. Now the teacher asks students to
identify what shape the thread takes (a circle). After this, the properties of
the circle are to be introduced focusing on the radius, center, chord and
then diameter.
Prerequisites: (5min)
What is a Circle?
A circle is the set of points in a plane that are equidistant from a center
point.
What is the Radius of a Circle?
The radius of a circle is the distance from the center point to any point on
the circle's perimeter (edge of the circle).
*You use the term radii to describe more than one radius.
Activities:
1. Draw a radius from the given points below: (5min)
Teacher moves between students to see if student solving correct.
2. On a grid paper, reproduce each of the circles
of the figure to the right.
For each circle, measure and compare the
Diameter and the Radius. (15 min)
This will be posted on the board (3 copies) then
the teacher will cut every circle in order to show
the students the difference of the radius and to
discus with them diameter by folding one of the
circles on the line of symmetry…
The diameter of a circle is two times the radius
and is the span of two radii across the center point
forming a straight line across the entire circle.
The formula is expressed as: d=2r, where d is the diameter and r is
the radius. (5min)
Simple rules to remember:
You always multiply the radius x 2 to get the diameter of a circle.
Similarly, you can divide the diameter by 2 to get the radius of a circle if
the radius is not known.
Teacher Directed:
A line through the center point is called a diameter.
Teacher will direct students to fold the circle into two equal parts. Have
students identify the diameter. Have the students traced the crease and
that line is the diameter of the circle (5 min)
Application:
Solve exercise 2 from the school book. (5min)
Teacher moves between students to see if student solving correct.
Closing activity: (10 min)
Materials: graph papers, pencils, compos
Procedure: draw a circle of radius (MN=2cm), then calculate its diameter.
Application: (remaining time)
Solving exercises 3,4,6 from school book.
What left takes as an assessment