lesson plan english about calculus

LESSON PLAN

Lectured by: Fatriya Adamura, M.Pd

ARRANGED BY :

MAR ATUS SHOLIHAH

(NPM : 11 411 056)

MATHEMATICS EDUCATION PROGRAM

MATHEMATICS AND SAINS EDUCATION FACULTY

IKIP PGRI MADIUN

2012

Lesson Plan

Educational Unit : Senior High School

Subject : Mathematics

Grade/Semester : XI/2

Topic : Calculate Indefinite integral From Simple

Algebraic Function

Time Allocation : 1 × 10 Minutes

I. Standard Competence

Using the concept of limit function and derivative function in problem solving.

II. Basic Competence

Intuitively explain the meaning of the limit function at a point and at infinity.

III. Indicator

Meaning limit function at one point described by calculating the values around

that point.

IV. Objectivitas

Using the concept of formulating the terms of the derivative function limit.

V. Character Value

1. Accurate

2. Creative

3. Responsibility

4. Carefull

VI. Learning Topic

1. The derivative function

2. Characteristics of the graph of the function by its derivatives

VII. Time Allocation

10 minutes

VIII. Learning Model

Learning model : direct instruction

Learning method : discussion

IX. Learning and Teaching Activities

Phase Learning activities

Character value Time

Allocation Teacher Student

Introduction

Remind students'

prior learning

about the

composition of

the two functions

and inverse

functions

Motivate students

to cite examples

of the use of the

function in real

life to inform the

use of the

function.

Ask students to

discuss some

difficult

homework from

the previous

meeting (need to

discuss all)

Remember

the previous

lesson about

the

composition

of the two

functions

and inverse

functions

Listen to the

teacher

expalanation

Ask some

tough

homework

from the

previous

meeting

2 minutes

Phase

1

Listen to the

teacher

explanation

Listen to the

teacher

explanation

Main activity

Phase

2 Learners are

given a stimulus

in the form of

materials by

teachers and

explanation of

materials related

to the

environment and

giving examples

of the materials

to be developed

regarding the

rate of change

learners function

value (material:

Dedi Heryadi,

Mathematics

class XII SMK

pages 130-133,

Yudhishthira,

Jakarta ) as

follows:

The pace of change

in value of the

function f (x)

against t at time t =

t1 is the

instantaneous

velocity determined

by the formula as

follows:

The rate of

change in the

value of the

function f (x)

against t at time t

= t1 is the

instantaneous

velocity

determined by

the formula as

follows:

Listen to the

teacher

explanation

Learners

communicate

orally or

presented in

ways to

determine the

rate of change

of the value of

the function.

6 minutes

h

tfhtf

h

)()(lim

11

0

The pace of

change in the

value of the

function f (x)

with respect to x

at x = a can be

determined by

taking h close to

zero, it is

written:

)('

af =

h

afhaf

h

)()(lim

0

Phase

3 Learners and

teachers together

to discuss

examples of the

rate of change of

the value of the

function.

Learners and

teachers

together to

discuss

examples of

the rate of

change of the

value of the

function.

Phase

4 Learners work

on some

exercises on the

rate of change of

the value of the

function

Do the

exercise in the

worksheet

- Accurate

- Creative

- Responsibility

- Carefull

Closing

Students make a

summary of the

material rate of

change of the

value of the

function

Make a

summary of

the lesson

they have

studied

2 minutes

Learners and

teachers to

reflect

Listen to the

teacher

explanation

As students are

working on

individual tasks

training module

4: 9 page 133

(Material: Dedi

Heryadi,

Mathematics

class XII SMK,

Yudhishthira,

Jakarta)

Regards cover

X. Resources

1. Student book

2. Students worksheet

XI. Evaluation

1. Type of assement : report and written test

2. Form of assement : report presentation and subjective

test

3. Example of assement :

The results of the ?

Studenst Book

LIMIT OF A FUNCTION AT A POINT

The definition of a limit at some point fungsi intuitively

, mean:

for satisfies , but , then the value of approaches .

Example:

With , provided

Definition of limit of a function at a point in the concept of

mathematical

, mean:

For a small number of known , we can find

So the inequality:

Applicable for all x that satisfy:

Example: Show that .

Answer:

The basic analysis

Suppose any positive number , we are required to obtain which

satisfies:

Note the right-hand side of inequality:

This means obtained .

Formal Proof:

Let and there is

Since , then

This means that: (designated)

Worksheet

Group : Class :

Fix the value of !

With , provided

.......................................................................

.......................................................................

.......................................................................

.......................................................................

.......................................................................

.......................................................................

.......................................................................

.......................................................................

Key of Worksheet

Group : Class :

Fix the value of !

to find the results of that question,

then we must first decipher be

then can be eliminated,

With , provided

Exercise

1.

2. by using mathematical concepts, show that:

Answer Sheet of Exercise

Evaluation Sheet Spesification

A. Cognitive

Indicators

Name of Evaluation

Sheet and Number of

Question

Key of Evaluation

Sheet and Number of

Question

Graph a quadratic function

of the form f(x) =x2

Exercise

Number 1 and 2

Key of Exercise

Number 1 and 2

B. Afective

Learning Objectives

Name of

Evaluation Sheet

and Number of

Question

Note

Characters

1. In the learning process, students

can be practiced character of

personal responsible, such as doing

assignments.


can be practiced character of social

responsible, such as doing group

assignments, helping friends and

teacher.



creative, such as giving opinion in

the group discussion.



accurate and carefull, such as

correcting answers of worksheet.

Self Evaluation

Sheet

Number 1

Number 2

Number 3

Number 4

The result of

Student Self

Evaluation Sheet

for every aspect

can be seen from

the result of

teacher

observation in

the learning

process or from

informal

conversation

between

students, teacher

and students.

Self Evaluation Sheet

1. Are you personal responsible person?

2. Are you social responsible person?

3. In a group/class discussion, I tell my opinion.

a. Yes b. No

My opinion is..........................................

…………………………………………….........................................................

…………………………………………………………………………………

4. I always check my worksheet answers.

a. Always c.Seldom

b. Often d. Never

True False

I always do my mathematics assignments.

I am a believable person.

I always respond all of my works.

I always follow my commitment.

I think I am a personal responsible person or am not a personal responsible person

because:………………………………………………………………….......................

………………………………………………………………………………………………

True False

I always do my group mathematics assignments for all.

I always help my friends/teacher as they need.

I help my teacher for doing her/his assignment.

I always do something that I can for caring class/school .

I think I am a social responsible person or am not a social responsible person

because:…………………………………………………………………........................

………………………………………………………………………………………………

Key and Scoring Guidance of Exercise

Number Step of Doing Score

Sum of the Score 100