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Lesson Plan in Mathematics 10 I. Objectives At the end of the lesson lesson the students students will be able able to; 1. State the standard form of a circle with a formula for the euation of circle whose center is at the ori!in. ". Solve #roblems involvin! circles on the coordinate #lane. $.
II. Subject Matter %o#i %o#icc
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III. Procedures& %eachers Activit/ Students Activit/ A. Pre#arator/ Pre#arator/ Activities 1. reetin!s ". (lassroom Or!aniation $. (hec2in! of Attendance 3. 4rill Activit/& Let us see if /ou reall/ understood our #revious lesson. (lass we will have an activit/ called %he students will be divided into 5 !rou#s. 'ach !rou# will have a re#resentative re#resentative to #ic2 out the illustrations inside the bo6. 7sin! /our 2nowled!e 2nowled!e about #oints on the #lane of a circle match the illustration on the euation #rovided. %he answer of the students will de#end on what illustration illustration the/ #ic2ed #ic2ed out. Illustration 8o. 1
2
2
2
2
2
2
X + Y
<4
2
Illustration 8o. "
2
2
X + Y =3
2
Illustration 8o. $
X + Y
>4
2
Illustration 8o. 5
X + Y = 4
So class is it clear9 An/ uestions clarifications9 (. )eview Activit/&
8one ma:am.
2
(lass do /ou remember the distance formula9 >es ma:am< It is ow about the P/tha!orean %heorem9 y 2− y 1 ¿ 2
(orrect< 8ow /ou are !oin! to a##l/ the distance formula or the P/tha!orean theorem to solve the followin! #roblems I will !ive /ou 5 minutes to answer the activit/. %his is an individual activit/.
x 2− x 1 ¿
d?
2
+¿
¿
√ ¿
c
2
=a
2
2
@ b
A. =hat is the len!th of the se!ment shown on the coordinate #lane below9
7sin! the 4istance ormula y 2− y 1 ¿
2
2
d?
x 2− x 1 ¿ +¿ ¿ √ ¿
2
6− 2 ¿ 2
?
d? B
7− 4 ¿ +¿ ¿ √ ¿
y 2− y 1 ¿
3. 7se the distance formula to determine the distance between #oints C 1215 D and C49D.
2
d?
x 2− x 1 ¿
2
+¿
¿ √ ¿
9 − 15 ¿
2
2
? -er/ !ood class<
4 −12 ¿ +¿ ¿ √ ¿
d ? 10
Are there an/ uestions about our activit/9
4. Motivation&
8one ma:am.
(lass I have here a circle #ule. >our tas2 is to fi!ure out the radius. Onl/ two measurements are !iven the h/#otenuse of a ri!ht trian!le inscribed in one uadrant of the circle and the distance of one verte6 from the circumference of the circle. I will !ive /ou " minutes to fi!ure out the answer. %he radius of the circle is + inches. 8otice that the !iven +Einch line se!ment in the drawin! is the dia!onal of a rectan!le embedded in the circleFs uadrant. If /ou draw the other dia!onal /ouFll see itFs the radius of the circle. %he dia!onals are necessaril/ eual so the radius is + inches.
%he students will answer differentl/ accordin! to their own inter#retation of the illustration.