Course Title:          Algebra 2 with Trig – Algebra 2 Glencoe/McGraw-Hill

Level:                    Junior

Prerequisite:           Algebra I and Geometry

 

Course Syllabus- First Semester

 

I.        Chapter 1 – Analyzing Equations & Inequalities with an Introduction

to the Graphing Calculator                                                                                        (14 days)        

A.     (1-1A/1-1)             Expressions and Formulas

B.     (1-3)                      Graphs and Measures of Central Tendency

C.     (1-4/1-5A)             Solving Equations

D.     (1-5)                      Solving Absolute Value Equations

E.      (1-6)                      Solving Inequalities

F.      (1-7)                      Solving Absolute Value Inequalities

G.     (1-2)                      Properties of Real Numbers

 

II.                 Chapter 2 – Graphing Linear Relations & Functions                                        (15 days)        

            A.  (2-1)                      Relations and Functions

B.     (2-2A/2-2B)          Linear Equations and Using Graphs to Estimate Solutions

C.     (2-2)                      Linear Equations

D.     (2-3)                      Slope

E.      (2-4)                      Writing Linear Equations

F.      (2-5)                      Modeling Real-World Data Using Scatter Plots

G.     (2-5B)                    Lines of Regression

H.     (2-6)                      Special Functions

I.        (2-7)                      Linear Inequalities

 

III.               Chapter 3 – Solving Systems of Linear Equations and Inequalities                 (11 days)                                      

      A.  (3-1A/3-1)             Graphing Systems of Equations

            B.  (3-2)                       Solving Systems of Equations Algebraically

            C.  (3-3)                      Cramer’s Rule

            D.  (3-4A/3-4)             Graphing Systems of Inequalities

E.  (3-7/3-7B)              Solving Systems of Equations in 3 Variables

 

End of 1st Quarter – Quarterly Assessment/Beginning of 2nd Quarter

 

IV.              Chapter 5 – Exploring Polynomials & Radical Expressions                             (28 days)        

A.     (5-1)                      Monomials

B.     (5-2)                      Polynomials

C.     (5-3)                      Dividing Polynomials

D.     (5-4)                      Factoring

E.      (5-5)                      Roots of Real Numbers

F.      (5-6)                      Radical Expressions

G.     (5-7)                      Rational Exponents

H.     (5-8)                      Solving Equations Containing Radicals

I.        (5-9)                      Complex Numbers

J.       (5-10)                    Simplifying Expressions Containing Complex Numbers

 

V.                 Chapter 6 – Exploring Quadratic Functions & Inequalities                              (17 days)

 

A.     (6-1A/6-1)             Solving Quadratic Equations by Graphing

B.     (6-2)                      Solving Quadratic Equations by Factoring

C.     (6-3)                      Completing the Square

D.     (6-4)                      The Quadratic Formula and the Discriminant    

E.      (6-5)                      Sum and Product of Roots

F.      (6-6A/6-6)             Analyzing Graphs of Quadratic Functions

G.     (6-7A/6-7)             Graphing and Solving Quadratic Inequalities

H.     (6-8)                      Standard Deviation (optional)

I.        (6-9)                      The Normal Distribution (optional)

 

End of 2nd Quarter – Semester Exam/Beginning of 3rd Quarter

 

VI.              Chapter 13 – Exploring Trig. Functions                                                  (20 days)

 

A.     (13-1)        An Introduction to Trig.

B.     (13-2)        Angles and Angle Measures

C.     (13-3)        Trig. Functions of General Angles                     

A.     (13-4)        Law of Sines

B.     (13-5)        Law of Cosines

C.     (13-6)        Circular Functions

D.     (13-7)        Inverse Trig. Functions

 

VII.            Chapter 14 – Using Trig. Graphs and Identities                                                (10 days)                                                  

A.     (14-1A)     Graphing Technology Trigonometric Functions

B.     (14-1)        Graphing Trigonometric Functions

C.     (14-2)        Trigonometric Identities

D.     (14-3A)     Graphing Technology Verifying Trigonometric Identities

E.      (14-6)        Solving Trigonometric Equations

 

VIII.         Chapter 10 – Exploring Exponential & Logarithmic Functions             (20 days)

 

A.     (10-1)         Real Exponents and Exponential Functions

B.     (10-1B)      Curve Fitting w/Real-World Data

C.     (10-2)        Log and Log Functions

D.     (10-3)        Properties of Logs

 

End of 3rd Quarter – Quarterly Assessment/Beginning of 4th Quarter

 

E.      (10-4)        Common Logs

F.      (10-5)        Natural Logs

G.     (10-6)        Solving Exponential Equations

H.     (10-7)        Growth and Decay

IX.              Chapter 8 – Exploring Polynomial Functions                                                     (17 days)

 

            A.  (8-1)                      Polynomial Functions

B.     (8-2)                      The Remainder and Factor Theorems

C.     (8-3A/8-3)             Graphing Polynomial Functions and Approximating Zeros

D.     (8-3B)                    Modeling Real-World Data

E.      (8-4)                      Roots and Zeros

F.      (8-5)                      Rational Zero Theorem

G.     (8-7)                      Composition of Functions

H.     (8-8)                      Inverse Functions and Relations

 

X.                 Chapter 9 – Exploring Rational expressions                                                      (13 days)        

A.     (9-1A/9-1)             Graphing Rational Functions

B.     (9-2)                      Direct, Inverse, and Joint Variation

C.     (9-3)                      Multiplying and Dividing Rational Expressions

D.     (9-4)                      Adding and Subtracting Rational Expressions

E.      (9-5)                      Solving equations and inequalities with rational expressions

 

End of the year optional topics                                                                                              (5 days)

 

F.      (14.3)         Verifying Trigonometric Identities

G.     (14.4)           Sum and Difference of Angles Formulas (optional – end of the year)

H.     (14.5)         Double Angle and ½ Angle Formulas (optional – end of year)

I.        (14-6A)     Graphing Technology Solving Trigonometric Equations

 

PSAE Week                                                                                                                           (3 days)

 

1.      Midpoint and distance formulas

2.      Measures of central tendency

3.      Logs with graphing technology