Download 3 Lesson Plans Nashae Lumpkin Lesson Plans Expressions and

3 Lesson Plans
Nashae Lumpkin
Lesson Plans
8th Grade
10th Grade
10th Grade
Expressions and Equations
Derivatives
Data Analysis & Probability
Lesson Plan 1 – Expressions & Equations
› MCC8.EE.5 Graph proportional relationships, interpreting
the unit rate as the slope of the graph. Compare two
different proportional relationships represented in
different ways.
Lesson Plan 1 – Expressions & Equations
(Cont.)
Essential
Questions
• How will I gain the students attention on graphing proportional
relationships?
• By the end of the lesson, what should the students have learned?
Lesson
Objectives
• Students should be able to understand the connections between
proportional relationships, lines, and linear equations.
Materials
• Interactive Whiteboard
Lesson Plan 1 – Management Plan
Introduction
Body of
Lesson
Conclusion
• Students will work individually on a warm-up to activate their prior knowledge We will
practice some problems as a class on the board and students will have some
problems to take home and review for homework.
• Each student will work independently on a worksheet that will be due before they leave
class.
• Encourage everyone to go home, review notes, and quickly point out important notes
that they should remember.
• Ask if anyone has any questions or need any extra review. Go over vocabulary words
as a class to make sure everyone has it.
Lesson Plan 1 – Introduction to Lesson
Students will copy
vocabulary words
from the board into
their notes.
We will practice
some problems as
a class on the
board and
students will have
some problems to
take home and
review for
homework.
Students will be
challenged with
multiple
assignments
(group assignment,
homework) but
they will be graded
and evaluated
differently.
Accommodations
to be made would
be to issue a
printout of the
notes and stop
and make sure that
everyone
understands every
so often.
Lesson Plan 1 – Body of Lesson
We will practice some
problems as a class on the
board and students will have
some problems to take home
and review for homework.
Accommodations: I will print
out copies of the notes to
handout.
Lesson Plan 1 – Closure
Review notes in notebook.
Encourage everyone to go
home, review notes, and
quickly point out
important notes that they
should remember.
Accommodations to be
made would be to lighten
the homework to 5
problems instead of 10
and allow them extra time
to write down their
problems and have the
student write down
homework in a planner. I
will then sign off on the
homework in the planner
once I have checked to
make sure the students
wrote everything down
correctly.
Lesson Plan 1 – Assessment & Reflection
Assessment Plan for
IEP Goals
• All students will receive 5 homework problems to work on
outside of class. They will receive a quiz when they return to
class. Extra time will be given to allow enough time to
complete.
Assessment Plan for
Learning Objectives
• All students will be given 10 homework problems to work on
outside of class. They will also receive a quiz when they return
to class.
Reflection /
Analyzing Teaching
Effectiveness
• Implement some type of group work to see if the students can
work together to arrive at the correct answer.
Lesson Plan 2 - Derivatives
› MCD1. Students will demonstrate an understanding of
the definition of the derivative of a function at a point,
and the notion of differentiability.
Lesson Plan 2 – Derivatives (Cont.)
Essential Questions Lesson Objectives
How will I gain the students
attention on derivatives?
By the end of the lesson, what
should the students have
learned?
Demonstrate an understanding of
the derivative of a function as the
slope of the tangent line to the
graph of the function.
Demonstrate an understanding of
the interpretation of the derivative
as instantaneous rate of change.
Use derivatives to solve a variety
of problems coming from physics,
chemistry, economics, etc. that
involve the rate of change of a
function.
Demonstrate an understanding of
the relationship between
differentiability and continuity.
Use derivative formulas to find the
derivatives of algebraic,
trigonometric, inverse trigonometric,
exponential, and logarithmic
functions.
Vocabulary
Derivative: an expression representing
the rate of change of a function with
respect to an independent variable.
Function: an expression representing the
rate of change of a function with
respect to an independent variable.
Algebraic function: an expression
representing the rate of change of a
function with respect to an independent
variable.
Trigonometric function: an expression
representing the rate of change of a
function with respect to an independent
variable.
Inverse trigonometric function: the
inverse functions of the trigonometric
functions.
Exponential function: one-to-one
functions.
Logarithmic function: the inverse of the
exponential function.
Materials
Projector
Graphing Calculator
Graphing Paper
Lesson Plan 2 – Management Plan
Students will work
individually on a warm-up to
activate their prior
knowledge. We will practice
some problems as a class
on the board and students
will have some problems to
take home and review for
homework.
Encourage everyone to go
home, review notes and
vocabulary words, and
quickly point out important
notes that they should
remember.
We will work on a worksheet
as a class and learn how to
graph derivatives by hand
and with a graphing
calculator.
Ask if anyone has any
questions or need any extra
review. Go over vocabulary
words as a class to make
sure everyone has it.
Lesson Plan 2 – Introduction to Lesson
Students will copy
vocabulary words from
the board into their
notes.
We will practice some
problems as a class on
the board and students
will have some problems
to take home and review
for homework.
Students will be
challenged with multiple
assignments (group
assignment, homework)
but they will be graded
and evaluated differently.
Accommodations to be
made would be to issue a
printout of the notes and
stop and make sure that
everyone understands
every so often.
Lesson Plan 2 – Body of Lesson
We will practice some problems
as a class using the calculator
and graphing paper and students
will have some problems to take
home and review for homework.
Accommodations: I will print out
copies of the notes along with
the vocabulary words to
handout.
Lesson Plan 2 – Closure
Review notes in notebook.
Encourage everyone to go home,
review notes, and quickly point
out important notes that they
should remember.
Accommodations to be made
would be to lighten the
homework to 10 problems
instead of 15 from the assigned
worksheet. Have the student
write down homework in a
planner. I will then sign off on
the homework in the planner
once I have checked to make
sure the students wrote
everything down correctly.
Lesson Plan 2 – Assessment & Reflection
Assessment Goal for
IEP Plan
• All students will
receive 15
homework problems
to work on outside
of class. They will
have review
problems on the
board that will be
turned in for a
grade when they
return to class.
Extra time will be
given to allow
enough time to
complete.
Assessment Plan for
Learning Objective
• All students will be
given 15 homework
problems to work on
outside of class.
They will also
receive review
problems that will be
turned in for a
grade when they
return to class.
Reflection / Analyzing
Teaching Effectiveness
• Implement some
type of group work
to see if the
students can work
together to arrive at
the correct answer.
Lesson Plan 3 – Data Analysis & Probability
› MM2D1: Using sample data, students will make informal
inferences about population means and standard
deviations.
Lesson Plan 3 – Data Analysis and Probability
(Cont.)
Essential Questions
• How will I gain the students attention on data analysis and probability?
• By the end of the lesson, what should the students have learned?
Lesson Objectives
• Students should be able to pose a question and collect sample data from at least two different populations.
• Students should be able to understand and calculate the means and standard deviations of sets of data.
• Students should be able to use means and standard deviations to compare data sets.
• Students should be able to compare the means and standard deviations of random samples with the corresponding
population parameters, including those population parameters for normal distributions. Observe that the different sample
means vary from one sample to the next. Observe that the distribution of the sample means has less variability than the
population distribution.
Materials
• Smart Board Presentations
• Interactive Computer Games
• Graphing Calculator
• Videos
Lesson Plan 3 – Data Analysis and Probability
(Cont.)
Vocabulary
•Census: A census occurs when everyone in the population is contacted.
•Empirical Rule is as follows: If a distribution is normal, then approximately
•68% of the data will be located within one standard deviation symmetric to the mean
•95% of the data will be located within two standard deviations symmetric to the mean
•99.7% of the data will be located within three standard deviations symmetric to the mean
•Frequency Distribution: Instead of listing every data point, a frequency distribution will list the value with its associated frequency
(number of times it is listed.
•Golden Ratio: φ = (1+√5)/2 which is approximately = 1.6180339887
•Measures of Center
•Mean: The average
•Median: When the data points are organized from least to greatest, the median is the middle number. If there is an even number of
data points, the median is the average of the two middle numbers.
•Mode: The most frequent value in the data set.
•Normal Distribution: The standard deviation is a good measure of spread when describing a normal distribution.
•Parameters: These are numerical values that describe the population.
•Random: Events are random when individual outcomes are uncertain.
•Sample: A subset, or portion, of the population.
•Sampling Distribution of a Sample Mean: The sampling distribution of a sample mean refers to the distribution of the mean of random
samples of a given size drawn from the population.
•Statistics: These are numerical values that describe the sample.
Lesson Plan 3 – Management Plan
Introduction
• Students will work on a quick worksheet to activate prior knowledge. They will have to work
independently so that I can see who knows what. Worksheet will be taken up and students will
receive participation points for it.
Body of the Lesson
• We will work on a worksheet together as a class and they will have a different worksheet to take
home for homework. Students will be challenged with multiple assignments (group assignment,
homework) but they will be graded and evaluated differently.
Conclusion
• Encourage everyone to go home, review notes, and quickly point out important notes that they
should remember.
• Ask if anyone has any questions or need any extra review. Go over vocabulary words as a class
to make sure everyone has it. Advise of homework assignment.
Lesson Plan 3 – Introduction to Lesson
Students will copy vocabulary words from the board into their notes.
Students will work on a quick worksheet to activate prior knowledge. They will have to work
independently so that I can see who knows what. Worksheet will be taken up and students will receive
participation points for it. Students will copy down vocabulary from the board into their notes.
Accommodations to be made would be to have the definitions printed out ahead of time for students to have.
Lesson Plan 3 – Body of Lesson
We will work on a worksheet together as a class and they will have a different worksheet to take home for
homework. Students will be challenged with multiple assignments (group assignment, homework) but they will
be graded and evaluated differently.
Students will be issued a data set to work on independently. They must find the measures of center
along with the standard deviation for their problem. I will walk around and check on each student as they
work on their data set assigned to them. They will be issued homework.
Accommodations to be made will be to make sure everyone understands the work we went over as a class
before homework is issued and the amount of problems for homework would be cut in half. Could allow
students to ask help from another student that understands lesson if I cannot assist them quick enough due to
helping another student.
Lesson Plan 3 – Closure
Review notes in notebook.
Encourage everyone to go home, review notes, and quickly point out important notes that they
should remember. Ask if anyone has any questions or need any extra review. Go over
vocabulary words as a class to make sure everyone has it. Advise of homework assignment.
Accommodations to be made would be to make sure homework is written down in a planner and I will
signoff next to the homework to make sure it was written down correctly.
Lesson Plan 3 – Assessment & Reflection
Assessment Plan
for IEP Goals
• All students will receive a worksheet with 10 homework
problems to work on outside of class. They will also
receive a 2 question pop quiz as a review for homework
when they return to class. Extra time will be given to
allow enough time to complete.
Assessment Plan
for Learning
Objectives
• All students will be given 20 homework problems to work
on outside of class. They will also receive a 2 question
pop quiz as a review for homework when they return to
class.
Reflection /
Analyzing Teaching
Effectiveness
• Implement some type of project where the students have
to come up with their own data, find the probabilities, and
present to the class.