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Algebra 2: This course follows the New York State curriculum for Algebra 2 Trigonometry. Topics include the study of rational and radical expressions, quadratic, exponential, logarithmic and trigonometric functions, imaginary numbers, statistics, probability and sequences and series. The final exam is the Algebra 2 Trigonometry Regents.
Please note that the timelines listed below are a guide. Teachers modify their pacing based on student needs in order to ensure concept mastery.Unit 1
Algebraic Essentials Review
September
Section
Concepts
CC Standards
eMathinstruction Lessons/Videos
1.1
Variables, Terms, and Expressions
A.APR.1
1.2
Solving Linear Equations
A.CED.A.1
1.3
Common Algebraic Expressions
1.4
Basic Exponent Manipulation
1.5
Multiplying Polynomials
A.APR.1
Unit 2
Functions as the Cornerstones of Algebra II
September
Section
Concepts
CC Standards
eMathinstruction Lessons/Videos
2.1
Introduction to Functions
F-IF.1
2.2
Function Notation
F-IF.1, F-IF.2
2.3
Function Composition
2.4
The Domain and Range of a Function
F-IF.1, F-IF.2, F-IF.5, F-IF.6
2.5
One to One Functions
2.6
Inverse Functions
F-BF.4
2.7
Key Features of Functions
F-IF.9, F-IF.4
Unit 3
Linear Functions, Equations, and Their Algebra
October
Section
Concepts
CC Standards
eMathinstruction Lessons/Videos
3.1
Direct Variation
3.2
Average Rate of Change
F-IF.6
3.3
Forms of a Line
F-LE.5
3.4
Linear Modeling
F-LE.5
3.5
Inverses of Linear Functions
F-BF.4
3.6
Piecewise Linear Functions
A-CED.3, F-IF.6, F-IF.7(b)
3.7
Systems of Linear Equations (3 by 3)
A-REI.6
End of Quarter 1
Unit 4
Exponential and Logarithmic Functions
Oct-Nov
Section
Concepts
CC Standards
eMathinstruction Lessons/Videos
4.1
Integer Exponents
N-RN.2
4.2
Rational Exponents
N-RN.1, N-RN.2
4.3
Exponential Function Basics
F-LE.5
4.4
Finding Equations of Exponentials
F-LE.2
4.5
The Method of Common Bases
A-CED.2
4.6
Exponential Modeling with Percent Growth and Decay
A-CED.1, A-SSE.3
4.7
Mindful Percent Manipulations
A-SSE.3
4.8
Introduction to Logarithms
4.9
Graphs of Logarithms
F-IF.4, F-IF.7(e)
4.10
Logarithm Laws
4.11
Solving Exponential Equations Using Logarithms
F-LE.4
4.12
The Number e and the Natural Logarithm
F-LE.4
4.13
Compound Interest
F-IF.8, F-BF.1(a), A-ASSE.3
4.14
Newton's Law of Cooling
F-BF.1(b)
Unit 5
Sequences and Series
Dec-Jan
Section
Concepts
CC Standards
eMathinstruction Lessons/Videos
5.1
Sequences
F-IF.3, F-BF.2
5.2
Arithmetic and Geometric Sequences
F-BF.2, F-LE.2
5.3
Summation Notation
A-SSE.4
5.4
Arithmetic Series
5.5
Geometric Series
A-SSE.4
5.6
Mortgage Payments
A-SSE.4
End of Quarter 2
Unit 6
Quadratic Functions and Their Algebra
February
Section
Concepts
CC Standards
eMathinstruction Lessons/Videos
6.1
Quadratic Function Review
F-IF.4
6.2
Factoring
A-SSE.2
6.3
Factoring Trinomials
A-SSE.2
6.4
Factoring Completely
A-SSE.2
6.5
Factoring by Grouping
A-SSE.2
6.6
The Zero Product Law
A-APR.3, A-REI.4
6.7
Quadratic Inequalities in One Variable
A-CED.1
6.8
Completing the Square and Shifting Parabolas
F-BF.3
6.9
Modeling with Quadratic Functions
A-CED.1
6.10
Equations of Circles
A-REI.7
6.11
The Locus Definition of a Parabola
G-GPE.2
Unit 7
Transformations of Functions
Feb-March
Section
Concepts
CC Standards
eMathinstruction Lessons/Videos
7.1
Shifting Functions
F-BF.3
7.2
Reflecting Parabolas
F-BF.3
7.3
Vertically Stretching of Functions
F-BF.3
7.4
Horizontal Stretching of Functions
F-BF.3
7.5
Even and Odd Functions
F-BF.3
Unit 8
Radicals and the Quadratic Formula
March
Section
Concepts
CC Standards
eMathinstruction Lessons/Videos
8.1
Square Root Functions
F-IF.4
8.2
Solving Square Root Equations
A-REI.2
8.3
The Basic Exponent Properties
N-RN.2
8.4
Fractional Exponents Revisited
N-RN.1, N-RN.2
8.5
More Exponent Practice
N-RN.2
8.6
The Quadratic Formula
A-REI.4(b)
8.7
More Work with the Quadratic Formula
A-REI.4(b)
Unit 9
Complex Numbers
March
Section
Concepts
CC Standards
eMathinstruction Lessons/Videos
9.1
Imaginary Numbers
N-CN.1
9.2
Complex Numbers
N-CN.1, N-CN.2
9.3
Solving Quadratic Equations with Complex Solutions
A-REI.4, N-CN.7
9.4
The Discriminant of a Quadratic
A-REI.4, N-CN.7
End of Quarter 3
Unit 10
Polynomial and Rational Functions
April
Section
Concepts
CC Standards
eMathinstruction Lessons/Videos
10.1
Power Functions
F-IF.4, F-BF.3
10.2
Graphs and Zeros of a Polynomial
A-APR.3, F-IF.4, F-IF.7
10.3
Creating Polynomial. Equations
F-IF.7
10.4
Polynomial Identities
A-APR.4
10.5
Introduction to Rational Functions
F-IF.4
10.6
Simplifying Rational Expressions
A-APR.6
10.7
Multiplying and Dividing Rational Expressions
A-APR.6
10.8
Combining Rational Expressions Using Addition and Subtraction
A-APR.6
10.9
Complex Fractions
10.10
Polynomial Long Division
A-APR.6
10.11
The Remainder Theorem
A-APR.2, A-APR.6
10.12
Solving Rational Equations
A-REI.2
10.13
Solving Rational Inequalities
A-CED.1
10.14
Reasoning About Radical and Rational. Equations
A-REI.1
Unit 11
The Circular Functions
April-May
Section
Concepts
CC Standards
eMathinstruction Lessons/Videos
11.1
Rotations and Angle Terminology
11.2
Radian Angle Measurement
F-TF.1
11.3
The Unit Circle
F-TF.2
11.4
The Definition of the Sine and Cosine Functions
F-TF.2, F-TF.8
11.5
More Work with the Sine and Cosine Functions
F-TF.2, F-TF.8
11.6
Basic Graphs of Sine and Cosine
F-TF.5, F-IF.7(e)
11.7
Vertical Shifting of Sinusoidal Graphs
F-TF.5, F-IF.7(e)
11.8
The Frequency and Period of a Sinusoidal Graph
F-TF.5, F-IF.7(e)
11.9
Sinusoidal Modeling
F-TF.5, FIF.7(e)
11.10
The Tangent Function
F-TF.8
11.11
The Reciprocal Functions
F-TF.8
Unit 12
Probability
May
Section
Concepts
CC Standards
eMathinstruction Lessons/Videos
12.1
Introduction to Probability
12.2
Sets and Probability
S-CP.1
12.3
Adding Probabilities
S-CP.7
12.4
Conditional Probability
S-CP.3, S-CP.4, S-CP.5, S-CP.6
12.5
Independent and Dependent Events
S-CP.2, S-CP.4, S-CP.5
12.6
Multiplying Probabilities
S-CP.4, S-CP.2
Unit 13
Statistics
May - June
Section
Concepts
CC Standards
eMathinstruction Lessons/Videos
13.1
Variability and Sampling
S-IC.3
13.2
Population Parameters
13.3
The Normal Distributions
S-ID.4
13.4
The Normal Distribution and Z-Scores
S-ID.4
13.5
Sample Means
S-IC.1, S-IC.2, S-IC.5
13.6
Sample Proportions
S-IC.1, S-IC.4
13.7
The Difference in Sample Means
S-IC.5
13.8
Linear Regression and Lines of Best Fit
S-ID.6(a)
13.9
Other Types of Regression
S-ID.6(a)
End of Quarter 4
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