Pre-Calculus and PAP Pre-Calculus Lesson Plans

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PAP Pre-Calculus Lesson Plans
August 27
28
29
30/31
School and classroom
procedures
Handbook
Information card
Seating chart
Syllabus, rules etc
Algebra Packet
Are you ready for Pre-cal
Algebra Packet
Notes
Work in groups and on the
board through20
Finish Algebra Packet
Notes on graphing
Work in groups and on board
3
4
5
6/7
Labor Day
Regular-Quiz
PAP – Test
On Algebra Review
Function Vocabulary
Function Description
Cards-work in groups
Heart Medicine
Homework : Give one Get
one
Book-page 61 1-12
Work in groups and on the
board.
1-7
H. W. Bunge Jumper
Language Objective: We
will demonstrate an
understanding of various
Algebra Concepts by taking
a quiz or test.
I can simplify rational
functions, factor, find
equations of lines given
parameters, solve
equatins, and graph
functions in a testing
environment.
10
September 1st and 2nd
End Behavior
Calculator Worksheetsupplement A & M
N9 and A9
Parent Function notesfrom Hupy
Inside-Outside Circleguided questions from Unit
1
11
Agenda:
Go over test
Even and Odd Functionsexploration and guided
practice
Page 60 explorations in
book –independent
practice
H. W. page 62 31-38 and
finish Function Practice
Calculator Activity due 9-8
or 9-9
Language Objective: We
will review function
characteristics and
vocabulary by working in
groups on worksheets and
by matching cards.
Language Objective: We will
review function
characteristics and vocabulary
by working in groups on
worksheet and by matching
cards.
I can share concepts and
vocabulary about functions
such as increasing/decreasing,
maximum/minimum, even
and odd, continuity,
asymptotic behavior
I can share concepts and
vocabulary about
functions.
12
Agenda:
Homework on board
Notes on set notation
Function Practice-finish for
homework
Language Objective: We
will explore characteristics
and applications of
functions by working on a
discovery worksheet.
I can tell the domain and
13/14
Agenda:
Warm up
Homework on board
Quiz
Boost
Language Objective: We will
explore characteristics and
applications of functions by
working on a discovery
worksheet.
range of a function using
set and interval notation.
Language Objective: We
will review function
characteristics and
vocabulary by working in
groups on worksheet and
by matching cards.
Language Objective: We
will explore characteristics
and applications of even
and odd functions by
working on a discovery
worksheet.
I can share concepts and
vocabulary about functions
such as
increasing/decreasing,
maximum/minimum, even
and odd, continuity, and
asymptotic behavior.
I can prepare notes on
parents functions .
I can look at the equation
of a function or the graph
of a function and tell
whether it is even or odd.
17
18
19
20/21
Modeling with Functions #1
and #2
Fan Club
Text Message Mayham
Row and Cone
Absolutely in Pieces
Piecewise Defined Functions
Page 73 67-72
Language Objective: I will
talk to a partner about the
characteristics of various
functions.
Language Objective: I will
model parent functions by
working with a partner on
a word problem.
Language Objective: I will
talk to a partner about the
characteristics of various
functions.
24
25
26
27/28
Steps to Success
Modeling with Functions #2
H. W. page 73 67-72
Piecewise Functions
H. W. Tanks A lot
Continuity
Closing Gaps Filling Holes
H. W Practice Problems
Go over practice problems
and TANKS A LOT
Language Objective: We
will write piecewise
function rules for functions
found on the graphing
Language Objective: We
will define and describe the
characteristics of functions
by talking to a partner.
I can determine the domain
and range of functions using
tables, graphs, and symbols.
Language Objective: We
will define and describe
the characteristics of
functions using
technology.
Language Objective: I will talk
to a partner about the
characteristics of various
functions.
Unit Test: Characteristics and
Applications of Functions
Language Objective: We will
calculator.
take a test over the
characteristics and
applications of functions.
I can write piecewise
functions given a problem
situation.
I can graph piecewise
functions in the calculator.
October 1
2
3
4/5
Give back Test
Hard Day’s Night
Parent Functions –
Transformations
Parent Function
Transformations
Put on a Happy Face
Table Patterns
Quadratic and Exponential
Transformation Evaluation
Work on Project-Major Grade
I can use properties of
functions to analyze and
solve problems and make
predictions
Name that Function
I can model situations using a
variety of functions.
Functions Project
Language Objective: We
will make a scatter plot for
data using technology.
Language Objective: We
will graph transformations
parent functions .
I can compare different
function models to see
which model best matches
the data.
I can follow order of
operations to graph parent
function transformations.
8
9
10
11/12
Seating Chart
Evaluating Functions
Pancake Compositiongroups
Composition of Functions
Composing Graphs
More Transformations
Transformation Practice
Texas Ink
Inverses
Inverses Practice
Inverses Algebraically
Language Objective: We
will use technology to
describe function
relationships in a scenario
Language Objective: We
will use technology to
describe function
relationships in a scenario
I Can use properties of
functions to analyze and
solve problems
I Can use properties of
functions to analyze and
solve problems
I Can use properties of
functions to describe inverses.
16
17
18/19
Language Objective: We
will use technology to
describe function
relationships in a scenario
I Can use properties of
functions to analyze and
solve problems
October 15
Language Objective: We will
use technology to describe
function relationships in a
scenario
Quiz
Review – functions
Unit Test – Functions
Polynomial Functions
- Factoring
Polynomial Functions
- Factoring (cont)
Language Objective: We
will use our knowledge of
functions to prepare for an
exam.
Language Objective: We
will factor polynomials
using techniques learned
in Algebra 2.
Language Objective: We will
factor polynomials using
techniques learned in Algebra
2.
I Can use properties of
functions to analyze and
solve problems
I Can use properties of
functions to analyze and
solve problems
I Can use properties of
functions to analyze and solve
problems
October 22
23
24
25/26
Rational Functions
- +-x/ of Rational
Functions
Rational Functions
- Finding Domain,
Range, and Zeros
Rational Functions
- Finding Horizontal,
Slant, and Vertical
Asymptotes
Rational Functions
- Putting it all together
(Graphing Activity)
Language Objective: We
will simplify equations
using the rules of
polynomials.
Language Objective: We
will find domain, range,
and zeros of functions.
I Can use properties of
functions to analyze and
solve problems
I Can use properties of
functions to analyze and
solve problems
Language Objective: We
will find vertical,
horizontal, and slant
asymptotes.
Language Objective: We will
graph rational functions.
I Can graph rational functions
given certain information.
I Can find and properly use
vertica, horizontal, and
slant asymptotes.
October 29
30
31
November 1,2
Parent Night
Review – Rational Funtions
Unit Test – Rational
Funtions
Exponential Functions
- Exponential Functions
and their Graphs
- Logarithmic Functions
and their Graphs
November 5, 2012
6
7
8/9
-
Solving Logarithmic
Equations
No HW
Language Objective: We
will solve logarithmic
equations using log
properties.
I Can solve logarithmic
equations.
-
Exponential
Growth and Decay
WS 9-5
Language Objective: We
will solve and simplify
exponential growth and
decay problems using the
equation y=pe^kt.
I Can solve exponential
-
Review –
Exponential and
Logarithmic
Functions
Language Objective: We
will solve, prove, and
simplify exponential and
logarithmic functions using
previous examples as
models.
-
Test – Exponential
and Logarithmic
Functions
Language Objective: We will
solve, prove, and simplify
exponential and logarithmic
functions using previous
examples as models.
I Can solve, prove, and
growth and decay
problems
November 12, 2012
-
13
Intro to Trig
Radian and Degree
Measures
November 26
Trigonometric
Identities
December 3
-
27
-
-
I can great on my final
exam.
January 7, 2013
-
-
Cosine Waves
18
Review – Trig
Functions
Quiz – Trig
Functions
-
1st Period Exam
Exam Review
-
Sine Waves
Cosine Waves
-
Trig Funtions Test
13/14
Tangent functions
Graphs
19
-
-
-
2nd / 6th Period
Exam
Language Objective:
I will do great on my final
exam by studying and
working hard.
Language Objective:
I will do great on my final
exam by studying and
working hard.
I can great on my final
exam.
I can great on my final
exam.
8
-
Sine/ Cosine Waves
(Review)
Language Objective:
I will graph sine and cosine
waves using a variety of
mathematical techniques.
I can graph sine and cosine
waves..
15
Thursday 5th / 3rd
Period Exam
Friday 4th / 7th Period
Exam
Language Objective:
I will do great on my final
exam by studying and working
hard.
I can great on my final exam.
10/11
9
-
Shifts/Expansions/
ETC of Sine and
Cosine Waves
20/21
-
Teacher Workday
January 14
Circular Speed
Circular Reasoning
12
-
Right Triangle Trig
6/7
11
-
29/30
-
Review – Trig
Functions
15/16
The Unit Circle
(cont.)
Unit Circle Activity
5
-
Exam Review
Language Objective:
I will do great on my final
exam by studying and
working hard.
Trig Identities cont.
Trig Ratios
4
Sine Waves
December 17
-
28
-
Evaluating Trig
functions with any
Radius
December 10
Trig Functions
The Unit Circle
-
-
-
I Can solve, prove, and
simplify exponential and
logarithmic functions.
14
simplify exponential and
logarithmic functions.
-
Tangent /
Cotangent Graphs
Language Objective:
I will graph tangent and
cotangent waves using a
variety of mathematical
techniques.
I can graph tangent and
cotangent waves.
16
-
Graphs of Reciprocal
Functions
Language Objective:
I will graph reciprocal
functions using a variety of
mathematical techniques.
I can graph reciprocal
functions.
17/18
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