LESSON PLAN
School
Subject
Class / Semester
Topic
Time Allocation
: Senior High School
: Mathematics
:X/I
: Exponential and Logarithms
: 5 times meeting @45 minutes (the first and second Meeting )
A. Core Competencies
1. Respect and appreciate the teachings of their religion.
2. Living and practicing honest, discipline, responsibility, caring (mutual assistance,
cooperation, tolerance, peace), polite, responsive and proactive and to demonstrate an
attitude as part of the solution to various problems in interacting effectively with the
social and natural environment and in placing itself as a reflection of the nation in the
association world.
3. Understand, apply, analyze factual knowledge, conceptual, procedural sense curriosity
based on science, technology, art, culture, and humanities with human insight,
national, state, and civilization-related causes of phenomena and events, as well as
applying procedural knowledge in the field specific studies according to their talents
and interests to solve the problem.
4. Rework, reasoning, and presenti in the realm of concrete and abstract domains
associated with the development of the learned in school independently, and is able to
use the method according to the rules of science.
B. Basic Competencies and Indicators
No
Basic Competencies
1
1.1 Respect and appreciate the
teachings of their religion
2
3
Indictors
1.1.1 Praying based on individual beliefs
before the course.
1.1.2 Eager to follow the teaching of
mathematics
2.2 Living and practicing
2.2.1 To asked during the learning process
honest behavior, discipline, 2.2.2 Like to observe something related to the
responsibility, caring
exponential
(mutual assistance,
2.2.3 Do not rely on others to solve problems
cooperation, tolerance,
related to the exponential
peace), polite, responsive
2.2.4 Dare presentation to the class.
and proactive and to
2.2.5 Work together with the relation of
demonstrate an attitude as
learning
part of the solution to
various problems in
interacting effectively with
the social and natural
environment and in placing
itself as a reflection of the
nation in the association
world.
3. 1 Selecting and applying the 3.3.1 Writing exponent form
rules of exponents and
logarithms according to the
characteristics of the
problems to be solved and
verify the steps
4.
4.1 Presents a real problem
using algebraic operations
in the form of exponents
and logarithms and finish
by using the properties and
rules that have proven true
3.3.2 Writing Concepting of exponent
3.3.3 Relation Concepting of exponential
function
3.3.4 Drawing kind of exponential function
3.3.5 Finding the concept of negative
spherical rank
3.3.6 Finding the concept of rank zero
3.3.7 Finding the rank concept of positive
integers
3.3.8 Calculating the rank of fractions
4.1.1 Applying the concept of exponent on
everyday issues
4.1.2 Completing daily problem associated
with exponential
C. Learning Objectives
1. First Meeting
Learners are expected to
a. Drawing kind of exponential function
b. Concepting of exponent
c. Concepting of exponential function
d. Drawing kind of exponential function
e. Applying the concept of exponent on everyday issues
2. Second Meeting
Learner are expected to
a. Finding the concept of negative spherical rank
b. Finding the concept of rank zero
c. Finding the rank concept of positive integers
d. Calculating the rank of fractions
e. Completing daily problem associated with exponential
D.
Learning Materials
1.First Meeting
The consept of exponential
The exponent of a number says how many times to use the number in a
multiplication. In 82 the "2" says to use 8 twice in a multiplication,
so 82 = 8 × 8 = 64 In words: 82 could be called "8 to the power 2" or "8 to the second
power", or simply "8 squared"
Exponents are also called Powers or Indices.
Some more examples: Example: 53 = 5 × 5 × 5 = 125
In words: 53 could be called "5 to the third power", "5 to the power 3" or
simply "5 cubed"
Example: 24 = 2 × 2 × 2 × 2 = 16
In words: 24 could be called "2 to the fourth power" or "2 to the power 4" or
simply "2 to the 4th"
Exponents make it easier to write and use many multiplications
Example: 96 is easier to write and read than 9 × 9 × 9 × 9 × 9 × 9. You can
multiply any number by itself as many times as you want using exponents.
Below is example figure exponential function.
2. Second Meeting
Law of Exponential
Law
x1 = x
x0 = 1
x-1 = 1/x
Example
61 = 6
70 = 1
4-1 = 1/4
xmxn = xm+n
xm/xn = xm-n
(xm)n = xmn
(xy)n = xnyn
(x/y)n = xn/yn
x-n = 1/xn
And the law about Fractional Exponents:
x2x3 = x2+3 = x5
x6/x2 = x6-2 = x4
(x2)3 = x2×3 = x6
(xy)3 = x3y3
(x/y)2 = x2 / y2
x-3 = 1/x3
E. Learning Methods
Model / Learning Strategies
1. First Meeting
a. NHT (Numbered Heads Togethers)
b. Scientific learning
2. Second Meeting
a. Scientific learning, STAD
b. Individual study, discustion, expositori
F. Learning Intructions
1. First Meeting
Student worksheet I
2. Second Meeeting
Student Worksheet 2
G. Learning Resources
1. Mathematics Student Book 1, Kemendikbud, 2013 Page 37
2. Video bacterial’s growth
3. Video zombie’s growth
4. Steps of Learning Activities
Firts Meeting
Activities
Introduction
Activities Describtion
1. Teacher greets and invite students to pray
2. Teacher ask how condition students
3. Teacher calls student attendance
4. Teacher communicates learning objectives and
learning outcomes expected to be achieved by
students
5. Teacher through the debriefing, students are
reminded again (apperception). For example:
"do you still remember abaout rank of number ?
6. Teacher motivate students by giving motivassi
one of the benefits of studying exponential,
Time
Alocation
10 minutes
development of bacteria and give video
motivation (appendix b)
7. Teacher distribute studens into group based
pretest (appendix 1c) , each group contain 4-5
student , and each group get number for
member (appendix 1d).
Core
Observing
1. Student observing picture activity 1 in
worksheet I (appendix 1e)
Asking
1. Teacher give opportunity to students for ask
anything about exponential.
2. Students ask about characteristics
exponential function.
3. Students ask about example and non
example exponential function.
Collecting Information
1. Students with their team together to collect the
data to get the concept of exponents through
worksheets activity 1 (appendix 1e).
2. Students with their team together discus about
exponential function in worksheet activity 2
(appendix 1e).
3. Students with their team together discus about
characteristics exponential function in worksheet
activity 2 and activity 3 (appendix 1e).
Associating
70 minutes
1. Students connected prior knowledge be
related to function
2.Students connected prior knowledge be related
to characteristics exponential
3.Students in the group discus about conection
between function and exponential in worksheet
activity 3 (appendix 1e).
Communicating
1. Students answer problem from teacher
2. According teacher random called one
number in order to one member of the group
presented the results of group discussion in
the classroom
3. Students and teacher respond to the
presentation includes FAQ to confirm,
complement the strengthening of the
information or give an opinion.
Closed
1. Students with teacher guidance summarizes
10 minutest
the learning content that is exponential,
exponential function,characteristics
exponential function as note.
2. Each group is given an award relating to the
activities of the group based group dynamics
(appendix 2)
3. Students reflection guided by the teacher
(appendix 6)
4. The teacher informs the activities at the next
meeting that is about law of exponential
5. The teacher ended the lesson with say bye.
Second Meeeting
Activities
Activities Describtion
Time
Alocation
Introduction
1. Teacher greets and invite students to pray
10 minutes
2. Teacher ask how condition students
3. Teacher calls student attendance
4. Teacher communicates learning objectives and
learning outcomes expected to be achieved by
students
5. Teacher through the debriefing, students are
reminded again (apperception). For example:
“can you review about material before this
meeting ?” “can you expression about
characteristics exponential function?”
6. Teacher motivate students by giving motivassi
one of the benefits of studying exponential,
example in zombie’s game video motivation
(appendix b)
7. Teacher distribute studens into group based first
value before meeting , each group contain 4-5
student .
Core
Observing
1.
Students observing exponential form that give
teacher in whiteboard
asking
1.
Students are asked about several related forms
exponents. The example “can exponential be
changes to another form ?”
Collecting Information
1.
Students with his group together to collect the data
70 minutes
to get the concept of negative spherical rank in
exponents through activity 1 worksheets 2
(appendix 1e).
2. Students discuss and work on the problems
associated with rank zero thought activity 2
Worksheet 2 (appendix 1e).
3. Students discuss and work on the problems associated
with the rank rounded position thought activity 3
Worksheet 2 (appendix 1e).
4. Students discuss and work on the problems associated
with and rank fractions thought activity 3 Worksheet
2 (appendix 1e)
5. Students solve problems related to the exponent
thought activities 1,2,3,4,5,6 Worksheet 2 (appendix
1e)
6. Students complete the exercises relating to powers.
7. Determine the elements contained in the definition
and results of operations of algebraic exponent
Associate
8. Students in groups can analyze and create a category
of elements contained in understanding and operating
results algebraic exponent then connect the elements
that have been categorized so that conclusions can be
made regarding the definition and rules of exponents
thought activity 5 Worksheet 2 (appendix 1e)
9. Students in the group linking the use of formula
exponent in the face of real problems thought activity
6 Worksheet 2 (appendix 1e)
Communicating
4. One member of the group presented the results of
group discussion in the classroom
5. Students and teacher responding to the
presentation includes FAQ to confirm,
complement the strengthening of the information
or give an opinion.
6. Teacher gives students the ability to find out
about the arrest of a material.
Closed
1. Students with teacher guidance summarizes the
10 minutest
learning content that is exponential, negative
spherical rank, rank zero and properties of the
rank of positive numbers.
2. Each group is given an award relating to the
activities of the group based group dynamics
(appendix 2)
3. Students reflection guided by the teacher
(appendix 6)
4. The teacher informs the activities at the next
meeting that is about law of exponential
5. The teacher ended the lesson with say bye
I. Assesment
Assesment
Instrument and
No. Indicator
Assesment
Type bills
value
Shapes
2.1.1 - 2.1.2 and 2.2.1
observed
-
Observation Sheet
3.1.1
Pretest
Stuffing
Pretest
3.1.1– 3.1.8
4.1.1
Worksheet
And 4.1.2
3.1.1 – 3.1.8 and 4.1.1 4.1.2
Test
A. Evaluation
1. The spiritual attitude.
a.
Assessment techniques: observation.
Stuffing and
Worksheet (40%)
analysis
Stuffing and
Analysis
Test (60%)
b.
The shape of the instrument: the observation sheet.
c.
Lattice:
Nu. Attitudes / values
Recognizing the magnitude of the power of God
1.
compared with their newly learned material.
2. Recognizing the usefulnessexponent in daily activity.
Instrument : in attachment
Instrument Item
1
2
2. Social Attitudes.
a.
Assessment techniques: peer assessment (between friends).
b.
The shape of the instrument: questionnaire.
c.
Lattice:
Nu. Attitudes / values
1. Curiousity
2. Confidence
3. Interest in the use of mathematics in the life
Instrument : in attachment
Instrument Item
1
2
3
3. Knowledge
a.
Valuation techniques: a written test.
b.
The shape of the instrument: the description.
c.
Lattice:
Nu.
Indicators
The First Meeting
a. Drawing kind of exponential function
b. Concepting of exponent
1.
c. Concepting of exponential function
d. Drawing kind of exponential function
The Second Meeting
a. Finding the concept of negative spherical rank
2.
b. Finding the concept of rank zero
c. Finding the rank concept of positive integers
d. Calculating the rank of fractions
Instrument : in attachment
Instrument Item
1
2
4. Skills
a.
Assessment techniques: observation.
b.
The shape of the instrument: the check list
c.
Lattice:
Nu.
Indicator
Instrument Item
1.
2.
3.
Presenting examples of the application of exponential
in daily activity
Applying the concept of exponent on everyday issues
Completing daily problem associated with exponential
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Ascertain,
Headmaster,
Lesson Teacher,
...........................................
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NIP.
NIP.
1
Appendix:
1. The teaching of each meeting:
a.
Teaching materials (student book)
b.
Video motivation :
-
Video bacterial’s growth
-
Video exponential in zombie
c.
Pretest
d.
Collected head numbers
e.
Student Worksheet:
- Worksheet I (first meeting)
- Worksheet 2 (Second meeting)
c.
Exercises: 1. Quiz Second meeting
2. Rubric: a. Rubric 1 (Rubric quiz)
b.Rubric 2 (Rubric group dynamics)
3. Syllabus
4. Syntax Learning Model: NHT ( Numbered Head Master)
5. Syntax Learning Model:STAD
6. Certificate of appreciation
7. Reflection sheet