RENCANA PELAKSANAAN PEMBELAJARAN
LESSON PLAN
( by Muh Ikhwan)
School : SMA Negeri 3 Semarang
Subject : Mathematics
Grade / Semester : X / 1
Basic Competence : Quadratic Inequalities
Times Allocated : 1 x 45 Minutes
A. Standard Competence : Problem solving related function, equation,
quadratic equation , and quadratic inequalities.
B. Basic Competence : Using the characteristics and laws of quadratic
Inequalities
C. Indicators : 1. Students will be able to find solution set the quadratic
inequalities by graphically
2. Students will be able to find solution set the quadratic
inequalities by number line
D. The purpose of Teaching-Learning
1. Student can explain the meaning of quadratic inequalities
2. Student can determining solution set of quadratic inequalities by graphically
3. Student can determining solution set of quadratic inequalities by number line
E. Main Material
1. Definition of Quadratic Inequalities
The general form of quadratic inequalities is ax2 + bx +c > 0 of course the sign of inequality can be >, ≥, 0, it means we have to find the values of x in which the parabola is above the x-axis.
ax2 + bx + c < 0, it means we have to find the values of x in which the parabola is under the x-axis.
[pic]
The graph has x-intercepts at x = [pic] and x = [pic]
The graph is above the x-axis or y>0 if x< [pic] or x> [pic]
The solution set is [pic]
[pic] [pic]
2. By using number line
The steps of finding the solution of an inequality :
i. Find values of x which cause the left side of an inequality is zero, if possible.
ii. Place the x values on the number line
iii. Sign every part of the number line with either positive or negative
iv. Find the solution set
Examples :
1. 3x2 – x – 2 > 0
(3x+2)(x-1) > 0 step 1
x = [pic], x = 1
O O step 2
[pic] 1
+ + - - - - + + +
O O step 3
[pic] 1
We have to choose positive parts (>0) step 4
So the solution set is [pic]
2. x2-x+2 >0, it is definite positive, because a > 0, D < 0
Solution set is [pic]
3. -2x2 + x-3 0, it is definite negative
Solution set is [pic]
D. Resources and Media
• White Board
• Board Marker
• Work Sheet
• Matematika Bilingual X
•
E. Teaching-Learning Method
• Explanation
• Discussion , question –answer
• Inquiry
• Give Strukture task
F. Learning Activities
|ACTIVITIES |TIME ALLOCATED |METHOD |RESOURCE |ASSESSMENT |
| | | | | |
|I. Introduction | | | | |
|Teacher explains urgency about | | | | |
|quadratic inequalities |5’ |Explanation | |100% from students understand|
| | | |Worksheet | |
|Review quadratic equation , last | | | | |
|topic | | | | |
| | |Discussion | | |
|II. Main Activities | | | | |
| | | | | |
|Exploration : | | | | |
|Students by preface the teacher to |10’ | | | |
|study the meaning of quadratic | |Inquiry |Work sheet |100% from students understand|
|inequalities | | | | |
| | | | | |
|The general form of | | | | |
|quadratic inequalities | | | | |
|is ax2 + bx +c > 0 of | | | |100% from students understand|
|course the sign of | |Inquiry |Work sheet | |
|inequality can be >, | | | | |
|≥,, 0 | | | |
| | | |5 | |
|4. | | | | |
| |Find Solution set from | | | |
| |x2-x+2 >0, | | | |
Respond : Remedial test for the students if their score is less then 75
2. Structure Task
1. Find the solution set of the following quadratic inequalities by graphically
a. x(x+4) – 12 ≤ 0 c. 3x2 -5x + 2 ≥ 0
b. 2x2 + x 0 e. 3x2 + 2x < 3-6x
c. 3x2 – 7x + 2 ≥ 0 f. 8x2 ≥ 5x + 3
3. The missile is launched. Its height in air is given h(t) = 30t - t2, where h in meters, t is in seconds. How long will it reach the height of the greater than 221 meters?
4. The length of a wire is 20 cm, it will be made a skeleton of rectangle. Its area is less than or equal is 21 cm2. Find the length of a rectangle.
J. References
• Mathematics X, esis, 2010.
• Worksheeet
•
Semarang, July 12, 2010
Teacher,
Principal,
DRS. HARI WALUYO, M.M Muh Ikhwan, S.Pd, M.Si
NIP. 196402071988031016 NIP. 196801022002121008
-----------------------
[pic]
SMA3SMG/WKAKA-MAT/QSR/004-00/10
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.