Download Algebra 2 Common Core Syllabus 2016-2017

Elizabethtown-Lewis Central School
Algebra 2 Common Core Syllabus 2016-2017
Instructor: James E. Sheffer
Course Description
In Algebra 2 Common Core, the students have four main topics to
understand. They are the following:
1. Polynomial, Rational, and Radical Relationships
2. Trigonometric Functions
3. Exponential and Logarithmic Functions
4. Inferences and Conclusions from Data
In the first topic, students connect polynomial arithmetic to
computations with whole numbers and integers. Polynomial equations,
zeros of polynomials, graphs of polynomial functions, and complex numbers
are explored. The second topic builds on students’ previous work with units
and with functions from Algebra I, and with trigonometric ratios and circles
from high school Geometry. Precise definitions of sine and cosine are
emphasized. The third topic extends the students’ knowledge of function
families to include exponential and logarithmic functions. Graphs of
functions along with identifying appropriate types of functions to model a
situation are learned. Finally in the fourth topic, students build a formal
understanding of probability, considering complex events such as unions,
intersections, and complements as well as the concept of independence and
conditional probability. (www.engagedny.org)
Course Content and Schedule
This is a tentative outline. Students will be informed of the necessary
variations.
9/8
9/9
Introduction, Rules, Basic Trig Review
Pre-Test (Various Questions from past Trig Regents)
9/12
9/13
9/14
9/15
9/16
Review: Expressions, Equations, and Functions
Linear Functions and Rate of Change
Functions
Solving Systems of Linear Equations and Inequalities
Solving Systems of Linear Inequalities by Graphing
9/19
9/20
9/21
9/22
9/23
Polynomial Operations
Parabolas
Review of Previous Material
Assessment: Review Material from Algebra I and Geometry
Functions, Domain and Range, Piecewise Functions
9/26
9/27
9/28
9/29
9/30
Scatter Plots, Linear Regression and Trend Lines
Working with Models
Seeing Structure in Equations and Expressions
Review of Themes in Algebra 2
Assessment: Themes in Algebra 2
10/3
10/4
10/5
10/6
10/7
Factoring Polynomials
Factoring Sums and Differences of Cubes; Factoring
Two-Variable Polynomials
Solving Quadratics; Patterns and Equations
Completing the Square; Quadratic Formula
Imaginary and Complex Numbers (Operations)
10/10
10/11
10/12
10/13
10/14
Columbus Day
Solutions of Quadratic Equations; Discriminant
Complex Solutions to Quadratic Equations
Modeling with Quadratic Functions
Parabolas at the Origin
10/17
10/18
10/19
10/20
10/21
Review of Quadratics
Assessment: Quadratics
Cumulative Review of Themes and Quadratics
Multivariable Polynomials
Operations with Multivariable Polynomials
10/24
10/25
10/26
10/27
10/28
Dividing Polynomials
Synthetic Division; Remainder and Factor Theorems
Solving Polynomial Equations Algebraically
Review for 10 Week Exam
10 Week Cumulative Exam (1st Interim)
10/31
11/1
11/2
Finding Zeros of Polynomial Functions
Transformations of Polynomial Functions
Solving Systems of Polynomial Equations
11/3
11/4
Review of Polynomials
Assessment: Polynomials
11/7
11/8
11/9
11/10
11/11
Multiplying and Dividing Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions;
Parent Conferences from 1:00 to 7:00
Veterans Day
11/14
11/15
11/16
11/17
11/18
Rational Equations
Rational Equations
Graphing Rational Functions
Review of Rational Expressions
Assessment: Rational Expressions
11/21
11/22
Regents Review
No Class: Early Release (AM Schedule)
November 23rd through November 27th: Thanksgiving Recess
11/28
11/29
11/30
12/1
12/2
Radical Operations; Roots and Simplifying
Multiplying Square Root Radicals
More Operations with Radicals
Rationalizing the Denominator (PM Schedule)
Exponent Notation for Roots
12/5
12/6
12/7
12/8
12/9
Radical Equations
Radical Function Graphs
Review of Powers and Radicals
Assessment: Exponential Functions
Extra Day if Needed
12/12
12/13
12/14
12/15
12/16
Cumulative Review
Exponential Functions and Graphs
Modeling with Exponential Functions
Combining Functions (+, −, ●, / )
Inverse Functions
12/19
12/20
Review of Exponential Functions
Assessment: Exponential Functions
12/21
12/22
12/23
Cumulative Review
Cumulative Review
Cumulative Review
December 24th through January 2nd: Winter Recess
2017
1/3
1/4
1/5
1/6
Composite Functions
Cumulative Review
Logarithmic Functions
Logarithmic Equations
1/9
1/10
1/11
1/12
1/13
Logarithmic Function Graphs with Translations
Natural Logarithms and e
Logarithmic Identities and Equations
Review
Assessment: Logarithmic Functions
1/16
1/17
1/18
1/19
1/20
Martin Luther King Jr. Day
Expansion of Logarithms
Solving Exponential Equations
Review for Mid-Term Exam
Mid-Term Exam (2nd Interim)
Regents Week
1/23
Breaking Up and Combining Logarithmic Operations
1/24
Derivations of the Rules of Logarithms
1/25
Review of Logarithmic Functions
1/26
Review of Logarithmic and Exponential Functions
1/27
No School for Students (Regional Scoring)
1/30
1/31
2/1
2/2
2/3
Review of Logarithmic and Exponential Functions
Assessment: Logarithmic and Exponential Functions
Cumulative Review
Arithmetic Sequence; Recursive Formula
Sigma Notation
2/6
2/7
2/8
Partial Sum of an Infinite Arithmetic Series
Geometric Sequence; Recursive Formula
Geometric Series and Partial Sums
2/9
2/10
Review of Arithmetic and Geometric Sequences
Assessment: Arithmetic and Geometric Sequences
2/13
2/14
2/15
2/16
2/17
Extra Day in Case of a Snow Day
Extra Day in Case of a Snow Day
Binomial Expansion; Factorial Notation
Binomial Expansion; Combinations
Review of Sequences and Series
February 18th through February 26st: Mid-Winter Recess
2/27
2/28
3/1
3/2
3/3
Review of Sequences and Series
Assessment: Sequences and Geometric Sequences
Cumulative Review
Geometry Review: Right Triangle Basics
Special Right Triangles
3/6
3/7
3/8
3/9
3/10
Trigonometric Ratios
Trig Ratios; Sine, Cosine, and Complementary Angles
Special Angles; Model Problems Involving Trig Ratios
Review of Trigonometric Equations
Assessment: Basic Trig Ratios
3/13
3/14
3/15
3/16
3/17
Reference Angles, Angles of Rotation, Unit Circle
Radian Measure of Angles
Trigonometric Functions and the Unit Circle
Trigonometric Identities
No Class: Superintendent’s Day
3/20
3/21
3/22
3/23
3/24
Trigonometric Function Graphs
Trigonometric Function Graphs
Translating Trigonometric Function Graphs; Phase Identities
Extra Day if Needed
Extra Day if Needed
3/27
3/28
3/29
3/30
3/31
Review of Trigonometric Angles and Graphs
Assessment: Trigonometric Angles and Graphs
Review for 30 Week Assessment
Review for 30 Week Assessment
Thirty Week Assessment (3rd Interim)
4/3
4/4
4/5
4/6
4/7
Reciprocal Trigonometric Functions
Modeling with Functions
Identify Functions (linear, polynomial, exponential, or
Trigonometric)
Extra Day
Extra Day
April 8th to April 16th: Spring Recess
4/17
4/18
4/19
4/20
4/21
Review of Trigonometry
Assessment: Trigonometry
Cumulative Review
Cumulative Review
Cumulative Review
4/24
4/25
4/26
4/27
4/28
Experimental Probability; Theoretical Probability and
Sample Space
Independent Events and the Multiplication Rule
Probability: Addition and Subtraction Rule
Conditional Probability
Extra Day
5/1
5/2
5/3
5/4
5/5
Conditional Probability
Normal Distribution
Normal Distribution
Surveys and Samples
Observational Studies
5/8
5/9
5/10
5/11
5/12
Binomial Theorem; Nth Term
Review of Probability and the Binomial Theorem
Review of Probability and the Binomial Theorem
Assessment: Probability and the Binomial Theorem
Extra Day
5/15
5/16
5/17
5/18
5/19
Law of Sines
Law of Cosines
Area of a Triangle; Heron’s Formula
Review of Law of Sines, Law of Cosines, Area of a Triangle
Assessment: Law of Sines and Cosines, Area of a Triangle
5/22 through 6/13 Regents Review
Students will have at least two cumulative assessments to prepare for the
Common Core Algebra 2 Regents in June 2017.
Extra Help
If you are having difficulty, see me immediately or try working with
other students in the class. I am available before or after school, my prep
period, or my lunch study hall.