Algebra 2
 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 |
|
|||
|
2.2 |
Function Notation |
|
|||
|
2.3 |
Function Composition |
||||
|
2.4 |
The Domain and Range of a Function |
|
|||
|
2.5 |
One to One Functions |
||||
|
2.6 |
Inverse Functions |
|
|||
|
2.7 |
Key Features of Functions |
|
|||
|
Unit 3 |
|
October |
|||
|
Section |
Concepts |
CC Standards |
eMathinstruction Lessons/Videos |
||
|
3.1 |
|
||||
|
3.2 |
|
|
|||
|
3.3 |
|
|
|||
|
3.4 |
|
|
|||
|
3.5 |
|
|
|||
|
3.6 |
|
|
|||
|
3.7 |
|
|
|||
|
End of Quarter 1 |
|||||
|
Unit 4 |
|
Oct-Nov |
|||
|
Section |
Concepts |
CC Standards |
eMathinstruction Lessons/Videos |
||
|
4.1 |
|
|
|||
|
4.2 |
|
|
|||
|
4.3 |
|
|
|||
|
4.4 |
|
|
|||
|
4.5 |
|
|
|||
|
4.6 |
Exponential Modeling with Percent Growth and Decay |
|
|||
|
4.7 |
|
|
|||
|
4.8 |
|
||||
|
4.9 |
|
F-IF.4, F-IF.7(e) |
|||
|
4.10 |
|
||||
|
4.11 |
|
|
|||
|
4.12 |
|
|
|||
|
4.13 |
|
|
|||
|
4.14 |
|
|
|||
|
Unit 5 |
Sequences and Series |
Dec-Jan |
|||
|
Section |
Concepts |
CC Standards |
eMathinstruction Lessons/Videos |
||
|
5.1 |
|
|
|||
|
5.2 |
|
|
|||
|
5.3 |
|
|
|||
|
5.4 |
|
||||
|
5.5 |
|
|
|||
|
5.6 |
|
|
|||
|
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 |
|||||