This lesson plan is about the equation of a circle. It defines a circle as the set of all points that have the same distance from a center point, and explains that the standard equation of a circle is (x-h)^2 + (y-k)^2 = r^2, where (h,k) are the coordinates of the center and r is the radius. It also notes that if the center is at the origin, then the equation simplifies to x^2 + y^2 = r^2. The lesson plan includes concept notes, developmental activities, and guided and independent practice for students.

1. Lesson plan
in Pre-Algebra
Topic : Equation of a Circle
Reporter: Raluto, Randel Roy

3.  A circle may also be considered a special kind of ellipse
(for the special case when the tilted plane is horizontal).

4. Concept Notes ( 10 minutes )
 The term radius is both used to refer to a segment from
the center C to a point P on the circle, and the length of
this segment. See Figure 1.8, where a circle is drawn. It
has center C(h,k) and radius r > 0. A point P(x,y) is on
the circle if and only if PC = r. For any such point then,
its coordinates should satisfy the following.
 PC = r p(x−h)2 + (y−k)2 = r (x−h)2 + (y−k)2 = r2 This is
the standard equation of the circle with center C(h,k)
and radius r. If the center is the origin, then h = 0 and k
= 0.
 The standard equation is then x2 + y2 = r2.

5. Developmental Activity (10
minutes)
)
Let C be a given point. The set of all points P having the same distance from C
is called a circle. The point C is called the center of the circle, and the common
distance its radius.

6. Guided Practice ( 15 minutes )

7. Independent Practice ( 10 minutes )

8. Closure Activity ( 5 minutes )

9. Enrichment Activity ( 10 minutes )

10. Explore activity