Pre-Calculus Pre-AP Course Calendar

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2015-2016 Calendar
First Grading Period
August 24
25
Unit 1 Functions and
Their Properties,
Compositions, and
Inverses
1.2 Functions and Their
Properties
Domain and Range
Continuity
Increasing/Decreasing
Local Extrema Min/Max
Symmetry
Odd/Even
End behavior / Limit Notation
26
27
28
1.2 Functions and Their
Properties
Domain and Range
Continuity
Increasing/Decreasing
Local Extrema Min/Max
Symmetry
Odd/Even
End behavior / Limit Notation
1.2 Functions and Their
Properties
Domain and Range
Continuity
Increasing/Decreasing
Local Extrema Min/Max
Symmetry
Odd/Even
End behavior / Limit Notation
1.3 Twelve Basic Functions
Analyze Functions
Graphically
Boundedness
Piecewise Functions
P.2 I,D,J,L
P.2 I,D,J,L
P.2 I,F
31
P.2 I,D,J,L
September 1
2
3
4
1.3 Twelve Basic Functions
Analyze Functions
Graphically
Boundedness
Piecewise Functions
1.4 Building Functions from
Functions
Composition of Functions
Relations and Implicitly
Defined Functions
1.4 Building Functions from
Functions
Composition of Functions
Relations and Implicitly
Defined Functions
1.5 Inverses
Inverse Relations and Inverse
Functions
1.5 Inverses
Inverse Relations and Inverse
Functions
P.2 E
P.2 E
P.2 I,F
7
P.2 A,B,C
8
P.2 A,B,C
9
10
11
Unit 1
Unit 1
Unit 1
Unit 1
REVIEW
MC Formative Test/Daily
Continued Learning
Summative Test
15
16
17
18
1.6 Transformations
Vertical
Horizontal
Reflections
Combining transformations
Absolute Value Functions
2.2 Power Functions
Analyze features
Graph
Model
Limit Notation for End
Behavior
2.2 Power Functions
Analyze features
Graph
Model
Limit Notation for End
Behavior
Unit 2
P.2 G
P.2 F,J,N
Review
22
23
P.2 F,J,N
24
Unit 3 Analyzing and
Solving Polynomials
Student/Staff
Holiday
14
Unit 2 Transformations
and Power Functions
1.6 Transformations
Vertical
Horizontal
Reflections
Combining transformations
Absolute Value Functions
P.2 G
21
Unit 2
Unit 2
Unit 2
Continued Learning
Continued Learning
Summative Test
2.3 Higher Degree
Polynomials
Graphs
End behavior / Limit Notation
Number of Roots based on
Degree
Zeros
Odd/Even Multiplicity
Intermediate Value Theorem
Modeling
28
29
30
P.2 G,J,I P.5 J
October 1
2.3 Higher Degree
Polynomials
Graphs
End behavior / Limit Notation
Number of Roots based on
Degree
Zeros
Odd/Even Multiplicity
Intermediate Value Theorem
Modeling
2.4 Real Zeros
Long Division
Remainder Theorem
Factor Theorem
Synthetic Division
Rational Zero Theorem
Upper/Lower Bounds
End behavior / Limit Notation
2.4 Real Zeros
Long Division
Remainder Theorem
Factor Theorem
Synthetic Division
Rational Zero Theorem
Upper/Lower Bounds
End behavior / Limit Notation
2.4 Real Zeros
Long Division
Remainder Theorem
Factor Theorem
Synthetic Division
Rational Zero Theorem
Upper/Lower Bounds
End behavior / Limit Notation
P.2 G,J,I P.5 J
P.2 G,J,I P.5 J
P.2 G,J,I P.5 J
P.2 G,J,I P.5 J
MC Formative Test/Daily
25
2.3 Higher Degree
Polynomials
Graphs
End behavior / Limit Notation
Number of Roots based on
Degree
Zeros
Odd/Even Multiplicity
Intermediate Value Theorem
Modeling
P.2 G,J,I P.5 J
2
2.5 Complex Zeros
Fundamental Theorem of
Algebra
Linear Factorization Theorem
Complex Conjugate Zeros
Factoring with Real Number
Coefficients
Irreducible Over the Reals
End behavior / Limit Notation
P.2 G,J,I P.5 J
End of Six Weeks
2015-2016 Calendar
Second Grading Period
October 5
6
7
8
9
2.5 Complex Zeros
Fundamental Theorem of
Algebra
Linear Factorization Theorem
Complex Conjugate Zeros
Factoring with Real Number
Coefficients
Irreducible Over the Reals
End behavior / Limit Notation
Unit 3
Unit 3
Unit 3
Unit 3
REVIEW
MC Formative Test/Daily
Continued Learning
Summative Test
13
14
15
16
2.6 Graphs of Rational
Functions
Domain
Graph
Transformations
Vertical Asymptotes
Horizontal Asymptotes
Oblique Asymptotes
Left & Right side behavior
End behavior
Discontinuities
End behavior / Limit Notation
Limit Notation for Behavior
around Discontinuities
Analyze Graphs
2.7 Solving Rational
Equations in One Variable
Solve by Clearing Fractions
Eliminating Extraneous
Solutions
Applications - Acid Mixtures,
Min Perimeter, Designing a
Juice Can
2.7 Solving Rational
Equations in One Variable
Solve by Clearing Fractions
Eliminating Extraneous
Solutions
Applications - Acid Mixtures,
Min Perimeter, Designing a
Juice Can
P.2 F,G,J,K,M
P.2 F,G,J,K,M
P.2 G,J,I P.5 J
12
Student
Holiday
Unit 4 Analyzing and
Solving Rational
Functions and Solving
Inequalities
2.6 Graphs of Rational
Functions
Domain
Graph
Transformations
Vertical Asymptotes
Horizontal Asymptotes
Oblique Asymptotes
Left & Right side behavior
End behavior
Discontinuities
End behavior / Limit Notation
Limit Notation for Behavior
around Discontinuities
Analyze Graphs
P.2 F,G,J,K,M
P.2 F,G,J,K,M
20
21
22
23
2.8 Solving Inequalities in
One Variable
Determine where factored
Poly is Zero, Positive and
Negative
Sign Chart
Solve Rational Inequality by
Combining Fractions
Other Inequalities
Re-visit Box
Re-visit Juice Can
2.8 Solving Inequalities in
One Variable
Determine where factored
Poly is Zero, Positive and
Negative
Sign Chart
Solve Rational Inequality by
Combining Fractions
Other Inequalities
Re-visit Box
Re-visit Juice Can
Unit 4
Unit 4
REVIEW
MC Formative Test/Daily
26
P.2 K,N P.5 L,K
27
P.2 K,N P.5 L,K
28
29
30
Unit 4
Unit 4
Unit 4
Summative Test
Cumulative Review
Chapter 1 -2
Continued Learning
Continued Learning
Cumulative Review
Chapter 1 -2
Continued Learning
Continued Learning
4
5
6
3.2 Exponential Modeling
Growth and Decay
Half-life
Population Growth
End behavior / Limit Notation
Logistic Modeling
3.2 Exponential Modeling
Growth and Decay
Half-life
Population Growth
End behavior / Limit Notation
Logistic Modeling
P.2 F,G,I,J
P.2 F,G,I,J
3.3 Logarithmic Functions
and Their Graphs
Connect Exponentials to
Logarithms
Graph w/o Calculator
Explore w/Calculator
Evaluate with/without
Calculator
Natural Logarithms
Transformations
19
2.7 Solving Rational
Equations in One Variable
Solve by Clearing Fractions
Eliminating Extraneous
Solutions
Applications - Acid Mixtures,
Min Perimeter, Designing a
Juice Can
P.2 F,G,J,K,M
November 2
Cumulative TEST
Chapter 1 -2
CCA
3
Unit 5 Exponential and
Logarithmic Functions
3.1 Exponential and
Logistic Functions
Graph Calculator
Graph w/o Calculator
Determine Exponential
Function from table
Transformations
Properties
End behavior / Limit Notation
P.2 F,G,I,J
P.2 F,G,I,J P.5 G
2015-2016 Calendar
Third Grading Period
November 9
10
11
12
13
3.3 Logarithmic Functions
and Their Graphs
Connect Exponentials to
Logarithms
Graph w/o Calculator
Explore w/Calculator
Evaluate with/without
Calculator
Natural Logarithms
Transformations
3.4 Properties of
Logarithms
Expand
Condense
Change of Base
Graphs with base “b” Limit
Notation
3.4 Properties of
Logarithms
Expand
Condense
Change of Base
Graphs with base “b” Limit
Notation
Unit 5
Unit 5
REVIEW
MC Formative Test/Daily
P.2 F,G,I,J P.5 G
P.2 F,G,I,J P.5 G
P.2 F,G,I,J P.5 G
16
17
18
19
20
Unit 5
Unit 5
Unit 5
Continued Learning
Continued Learning
Summative Test
Unit 6 Modeling and
Solving Exponential and
Logarithmic Equations
3.5 Equation Solving and
Modeling
Solve Exponentials
Solve Logarithms
Newton’s Law of Cooling
3.5 Equation Solving and
Modeling
Solve Exponentials
Solve Logarithms
Newton’s Law of Cooling
P.2 N P.5 H,I
23
24
25
P.2 N P.5 H,I
26
27
Staff Development/
Student Holiday
Staff Development/
Student Holiday
Thanksgiving Break
Thanksgiving Break
Thanksgiving Break
30
December 1
2
3
4
3.5 Equation Solving and
Modeling
Solve Exponentials
Solve Logarithms
Newton’s Law of Cooling
3.6 Mathematics of Finance
Compound Interest
Compound Interest
Continuously
Annual percentage Yield
Annuities
Present Value
Unit 6
Unit 6
REVIEW
MC Formative Test/Daily
P.2 N P.5 H,I
3.6 Mathematics of Finance
Compound Interest
Compound Interest
Continuously
Annual percentage Yield
Annuities
Present Value
7
P.2 N P.5 H,I
8
P.2 N P.5 H,I
9
10
11
Unit 6
Unit 6
Unit 6
Review for Finals
Review for Finals
Continued Learning
Continued Learning
Summative Test
Assessment Window – Algebra I Biology U.S. History
English I STAAR
14
15
English II STAAR
16
17
18
End of the 3rd Six Weeks
2015-2016 Calendar
Fourth Grading Period
January 4
5
6
Radian Activity
Unit 7 Angles and Their
Measures
Student Holiday
Staff Development
4.1 Equation Solving and
Modeling
Degrees / Radians
Arc Length
Angular and Linear Motion
DMS
P.4 C,E
12
4.3 Circular Functions
Initial / Terminal Side
Angles – Positive, Negative,
Coterminal, Reference,
Quadrantal
Unit Circle
Period of a Function
P.4 A,B,C,D
13
4.3 Circular Functions
Initial / Terminal Side
Angles – Positive, Negative,
Coterminal, Reference,
Quadrantal
Unit Circle
Period of a Function
18
P.2 P P.4 A,C,E
19
P.2 P P.4 A,C,E
20
Unit 7
Unit 7
Continued Learning
Summative Test
11
4.2 Trigonometric
Functions of Acute Angles
6 Trigonometric Functions
Special Angles 30/45/60
Applications
Holiday
7
4.1 Equation Solving and
Modeling
Degrees / Radians
Arc Length
Angular and Linear Motion
DMS
8
4.2 Trigonometric
Functions of Acute Angles
6 Trigonometric Functions
Special Angles 30/45/60
Applications
P.4 C,E
P.4 A,B,C,D
14
15
Unit 7
Unit 7
REVIEW
MC Formative Test/Daily
21
22
4.4 Graphs of Sine and
Cosine
Sinusoids
Transformations
Amplitude
Frequency
Phase Shift
Unit 8 Trigonometric
Graphs, Inverses, and
Problem Solving
4.4 Graphs of Sine and
Cosine
Sinusoids
Transformations
Amplitude
Frequency
Phase Shift
P.2 G,I,O
27
4.7 Inverse Trig Functions
Inverse (arc) sine, cosine and
tangent functions
Analyze w/o calculator
Describe properties
End behavior / Limit Notation
P.2 G,I,O
28
4.7 Inverse Trig Functions
Inverse (arc) sine, cosine and
tangent functions
Analyze w/o calculator
Describe properties
End behavior / Limit Notation
P.2 H,I
P.2 H,I
P.2 G,I,O
2
4.8 Problem Solving w/ Trig
Angle of Elevation
Angle of Depression
Linear and Angular Motion
Bearings
Sinusoidal Behavior
Simple Harmonic Motion
3
4.8 Problem Solving w/ Trig
Angle of Elevation
Angle of Depression
Linear and Angular Motion
Bearings
Sinusoidal Behavior
Simple Harmonic Motion
4
5
Unit 8
Unit 8
REVIEW
MC Formative Test/Daily
P.2 O P.4 D,F P.5 N
8
P.2 O P.4 D,F P.5 N
9
P.2 O P.4 D,F P.5 N
10
11
Unit 8
Unit 8
Unit 8
Unit 9 Trig Identities
Continued Learning
Continued Learning
Summative Test
5.1 Fundamental Identities
Identities - Trig, Pythagorean,
Co-functions, Odd-Even
Solve/Simplify Trig Equations
12
5.1 Fundamental Identities
Identities – Trig, Pythagorean,
Co-functions, Odd-Even
Solve/Simplify Trig Equations
25
4.5 Graphs of Tangent,
Cotangent, Secant,
Cosecant
Domain / Range
Increasing / Decreasing
Inflection
Asymptotes
End behavior / Limit Notation
26
4.5 Graphs of Tangent,
Cotangent, Secant,
Cosecant
Domain / Range
Increasing / Decreasing
Inflection
Asymptotes
End behavior / Limit Notation
P.2 G,I,O
February 1
4.8 Problem Solving w/ Trig
Angle of Elevation
Angle of Depression
Linear and Angular Motion
Bearings
Sinusoidal Behavior
Simple Harmonic Motion
15
Staff
Development/
Student Holiday
16
5.2 Proving Trig Identities
Prove Trig identities
Identities in Calculus
17
5.2 Proving Trig Identities
Prove Trig identities
Identities in Calculus
P.5 M,N
18
5.2 Proving Trig Identities
Prove Trig identities
Identities in Calculus
P.5 M
P.5 M
P.5 M
29
4.4, 4.5, 4.7
All Trig Graphs and Inverses
REVIEW
P.5 M,N
19
5.3 Sum & Diff Identities
Cosine of Sum & Diff
Sine of Sum & Diff
Reduction Formula
Tangent Reduction Formula
P.5 M,N
End of the 4th Six Weeks
2015-2016 Calendar
Fifth Grading Period
February 22
5.3 Sum & Diff Identities
Cosine of Sum & Diff
Sine of Sum & Diff
Reduction Formula
Tangent Reduction Formula
23
5.4 Multiple-Angle Identities
Prove Double-Angle Identities
Power-Reducing Identities
Half-Angle Identities
24
5.4 Multiple-Angle Identities
Prove Double-Angle Identities
Power-Reducing Identities
Half-Angle Identities
P.5 M,N
29
P.5 M,N
March 1
P.5 M,N
2
Unit 9
Unit 9
Unit 9
Continued Learning
Continued Learning
Summative Test
25
26
Unit 9
Unit 9
REVIEW
MC Formative Test/Daily
3
4
5.5 Law of Sines
Solving Given AAS
Solving Given ASA
Ambiguous Case (SSA)
Unit 10 Law of Sines and
Cosines
5.5 Law of Sines
Solving Given AAS
Solving Given ASA
Ambiguous Case (SSA)
P.4 G P.5 N
8
5.6 Law of Cosines
Solving Given SAS
Solving Given SSS
Ambiguous Case
Triangle Area
Heron’s Formula
9
5.6 Law of Cosines
Solving Given SAS
Solving Given SSS
Ambiguous Case
Triangle Area
Heron’s Formula
P.4 G P.5 N
10
5.6 Law of Cosines
Solving Given SAS
Solving Given SSS
Ambiguous Case
Triangle Area
Heron’s Formula
14
P.4 H P.5 N
15
P.4 H P.5 N
16
P.4 H P.5 N
17
7
5.5 Law of Sines
Solving Given AAS
Solving Given ASA
Ambiguous Case (SSA)
Spring Break
Spring Break
Spring Break
22
23
24
Unit 10
Unit 10
Unit 10
Unit 10
REVIEW
MC Formative Test/Daily
Continued Learning
Summative Test
28
29
30
31
Cumulative TEST
Chapter 4 - 5
Unit 11 Vectors, Dot
Product, Parametric, and
Polar Coordinates
Cumulative Review
Chapter 4 - 5
Continued Learning
Continued Learning
4
6.1 Vectors in the Plane
Magnitude
Component Form
Tail-to-Head
Parallelogram Rep
Scalar
Unit Vector
Linear Combo
Direction Angle
Real Life Applications
CCA
5
6.2 Dot Product of Vectors
Dot Product of 2 Vectors
Angle Between 2 Vectors
Orthogonal Vectors
Projecting 1 Vector onto
Another Vector
6
6.2 Dot Product of Vectors
Dot Product of 2 Vectors
Angle Between 2 Vectors
Orthogonal Vectors
Projecting 1 Vector onto
Another Vector
P.4 K
P.4 K
11
5.5 / 5.6 Law of
Sines/Cosines and Bearing
Real Life Problems
P.4 G,H P.5 N
18
Spring Break
21
Cumulative Review
Chapter 4 - 5
P.4 G P.5 N
6.1 Vectors in the Plane
Magnitude
Component Form
Tail-to-Head
Parallelogram Rep
Scalar
Unit Vector
Linear Combo
Direction Angle
Real Life Aps
Spring Break
25
Easter Holiday
April 1
6.1 Vectors in the Plane
Magnitude
Component Form
Tail-to-Head
Parallelogram Rep
Scalar
Unit Vector
Linear Combo
Direction Angle
Real Life Aps
P.4 C,I,J
P.4 C,I,J
7
1.5 / 6.3 Parametric
Equations & Motion
Graphing Parametric Eq
Eliminating the Parameter
Finding Parametric Eq for a
Line
8
1.5 / 6.3 Parametric
Equations & Motion
Graphing Parametric Eq
Eliminating the Parameter
Finding Parametric Eq for a
Line
P.3 A,B,C
P.3 A,B,C
P.4 C,I,J
11
12
13
14
15
6.4 Polar Coordinates
Polar Axis
Polar coordinates
Directed Distance
Convert Polar to Rectangular
Convert Rectangular to Polar
Finding Distance using Polar
Coordinates
6.4 Polar Coordinates
Polar Axis
Polar coordinates
Directed Distance
Convert Polar to Rectangular
Convert Rectangular to Polar
Finding Distance using Polar
Coordinates
6.4 Polar Coordinates
Polar Axis
Polar coordinates
Directed Distance
Convert Polar to Rectangular
Convert Rectangular to Polar
Finding Distance using Polar
Coordinates
Unit 11
Unit 11
REVIEW
MC Formative Test/Daily
P.3 D,E
P.3 D,E
P.3 D,E
End of 5th Six Weeks
2015-2016 Calendar
Sixth Grading Period
April 18
19
20
21
Unit 11
Unit 11
Unit 11
Unit 12 Conics – Ellipses
and Hyperbolas
Continued Learning
Continued Learning
Summative Test
8.1 / 8.2 Ellipses
General Form
Standard Form
Center
Foci
Vertices
Axes
Eccentricity
22
8.1 / 8.2 Ellipses
General Form
Standard Form
Center
Foci
Vertices
Axes
Eccentricity
P.3 F,G,H
P.3 F,G,H
28
29
Unit 12
Unit 12
Review
MC Formative Test/Daily
5
6
US History
AP Testing
AP Testing
AP Testing
11
9.3 Sequences
Define a Sequence Explicitly
Define Recursively
Find Limits of Sequences
Define Arithmetic
Define Geometric
12
9.3 Sequences
Define a Sequence Explicitly
Define Recursively
Find Limits of Sequences
Define Arithmetic
Define Geometric
13
9.4 Series
Summation / Sigma Notation
Finite Sequence
Infinite Series
P.5 B
AP Testing
P.5 B
AP Testing
17
18
19
P.5 B,C,D,E
AP Testing
20
Unit 13
Unit 13
Unit 13
Unit 13
REVIEW
MC Formative Test/Daily
Continued Learning
Summative Test
P.5 B,C,D,E
AP Testing
23
24
25
26
27
Final Exam Review
Final Exam Review
Final Exam Review
Final Exams
Final Exams
30
31
June 1
2
3
Final Exams
Final Exams
25
8.1 / 8.3 Hyperbolas
General Form
Standard Form
Center
Foci
Vertices
Axes
Eccentricity
26
8.1 / 8.3 Hyperbolas
General Form
Standard Form
Center
Foci
Vertices
Axes
Eccentricity
27
8.1 / 8.3 Hyperbolas
General Form
Standard Form
Center
Foci
Vertices
Axes
Eccentricity
P.3 F,G,I
May 2
P.3 F,G,I
3
P.3 F,G,I
4
ALG I EOC
AP Testing
Bio EOC
AP Testing
9
10
9.2 Binomial Theorem
Expand a Binomial Using
or Pascal’s Triangle
n Cr
Unit 13 Binomial
Theorem, Sequences
and Series
9.2 Binomial Theorem
Expand a Binomial Using
or Pascal’s Triangle
n Cr
P.5 F
AP Testing
16
9.4 Series
Summation / Sigma Notation
Finite Sequence
Infinite Series
P.5 F
AP Testing
nth Partial Sum
Limits of Partial Sums
Diverge / Convergence
nth Partial Sum
Limits of Partial Sums
Diverge / Convergence
Student/
Staff Holiday
Last Day of School
Professional
Day
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