• Algebra 2/Trig Curriculum– 2022/2023

    Section/

    Chapter

    Chapter/Topic

    Standard

    Unit A: Summer Work (review of algebra 1 topics)

    Unit 1: Using the graphing calculator, solving equations and inequalities graphically  (chapter 1), evaluating functions on the calculator  (chapter 2.1), regression  (chapter 2.5)

     

    Solving Equations Graphically by Intersections

    A.CED

     

    Solving Equations Graphically by x-intercepts

    A.CED

     

    Solving Linear Inequalities Graphically

    A.CED

    1.3

    Solving Linear Equations (summer work)

    A.CED

    1.3

    Solving Absolute Value Equations (summer work)

    A.CED

     

    Interval Notation (summer work)

     

    1.5

    Solving Linear Inequalities (summer work)

    A.CED

    1.6

    Solving Compound Inequalities (summer work)

    A.CED

    1.6

    Solving Absolute Value Inequalities (summer work)

    A.CED

    2.1

    Relations and Functions (summer work)

    F.IF

     

    Evaluating Functions on the Calculator

    F.IF

    2.2

    Linear Relations and Functions (summer work)

    F.IF

    2.3

    Rate of Change and Slope (summer work)

    F.IF

    2.4

    Writing Linear Equations (summer work)        

    A.SSE/A.CED

    2.5

    Scatter Plots and Linear Regression

    F.IF

    Unit 0: Probability/Statistics Intro (Chapter 0) 

    0.4

    Counting Techniques, Permutations, Combinations

    S-MD

    0.5

    Adding Probabilities, Odds

    S-MD

    0.6

    Multiplying Probabilities/Two-way Frequency Tables

    S-MD

    Unit 2: Domain and Range from a Sketch

    Quadratic Inequalities

    Domain Using Two Algebraic Rules

     

    Assessing domain and range from a sketch

    F.IF

     

    Solving quadratic inequalities by factoring

    F.IF

     

    Determining domain and range with 2 algebraic rules

    F.IF

    Unit 3: Transformations and Special Functions  (Chapter 2.6-2.7)

    2.6

    Special Functions                             

    F.IF

    2.7

    Parent Functions and Transformations

    F.IF

    2.8

    Graphing Linear and Absolute Value Inequalities

    A.CED

    Unit 4: Symmetry, Compositions, and Inverses  (Chapter 6.1-6.2)

     

    Symmetry

    F.BF

    6.1

    Operations on Functions and Composition

    F.IF/F.BF

    6.2

    Inverses

    F.IF/F.BF

    Unit 5: Systems of Equations  (Chapter 3.1/3.4)

    3.1

    Solving Systems of Equations in Two Variables

    A.CED/A.REI

    3.4

    Systems of Equations in Three Variables

    A.CED

    Unit 6: Operations on Polynomials   (Chapter 5.1-5.2)

    5.1

    Rules of Exponents

    A.APR

    5.1

    Operations on Polynomials (add/subtract/multiply)

    A.APR

    5.2

    Dividing Polynomials

    A.APR

    Unit 7: Factoring  (Chapter 0.3)

    0.3

    Factoring                                                            

    A.SSE

    Unit 8: nth Roots, Radicals, and Rational Exponents  (Chapter 6.4-6.6)

    6.4

    nth Roots                                         

    A.SSE

    6.5

    Operations with Radical Expressions           

    A.SSE

    6.6

    Rational Exponents                                    

     

    Unit 9: Radical Equations/Inequalities and Complex Numbers  (Chapter 6.7 and 4.4)

    6.3/6.7

    Solving Radical Equations and Inequalities

    A.REI

    4.4

    Complex Numbers

    N.CN

    Unit 10: Rational Functions and Relations  (Chapter 8)

    8.1

    Multiplying and Dividing Rational Expressions

    A.APR

    8.2

    Adding and Subtracting Rational Expressions

    A.APR

    8.3

    Graphing Reciprocal Functions (precalculus only)

    A.CED/F.FB

    8.4

    Graphing Basic Rational Functions (precalculus only)

    A.CED/F.IF

    8.5

    Variation

    A.CED

    8.6

    Solving Rational Equations and Inequalities

    A.CED/A.REI

    Unit 11: Quadratic Functions and Relations  (Chapter 4 (omit 4.4))

    4.1

    Graphing Quadratic Functions and applications

    A.SSE/F.IF

    4.2

    Solving Quadratic Equations by Graphing and applications

    A.CED/F.IF

    4.3

    Solving Quadratic Equations by Factoring and applications

    A.REI

    4.5

    Completing the Square and applications

    N.CN/F.IF

    4.6

    The Quadratic Formula and the Discriminant and applications

    N.CN/F.IF

    4.7

    Transformations of Quadratic Functions

    F.IF/F.BF

    4.8

    Quadratic Inequalities

    A.CED

    Unit 12: Polynomial Functions  (Chapter 5.3-5.8)

    5.3

    Polynomial Functions

    F.IF

    5.4

    Analyzing Graphs of Polynomial Functions

    F.IF

    5.5

    Solving Polynomial Equations

    A.CED

    5.6

    The Remainder and Factor Theorems

    A.APR/F.IF

    5.7

    Roots and Zeros

    N.CN/A.APR

    5.8

    Rational Zero Theorem (skip - no longer a common core standard)

     

    Unit 13: Conic Sections  (Chapter 9)

    9.1 

    Midpoint and Distance Formulas

    A.CED

    9.3

    Circles

    A.CED/A.SSE

    9.4

    Ellipses

    A.CED/A.SSE

    9.2

    Parabolas

    A.CED/A.SSE

    9.5

    Hyperbolas

    A.CED/A.SSE

    9.6

    Identifying Conic Sections

    A.SSE/F.IF

    9.7

    Solving Non-linear Systems of Equations and Inequalities

    A.REI

    Unit 18: Chapter 12A Intro Trigonometry 

    MUST START MID-MARCH!

    12.1

    Basic Trig

    F.TF

    12.2

    Definition of a Radian

    F.TF

    12.3

    Development of the Unit Circle

    F.TF

    12.1-12.3

    Basic Trig Evaluations and Equations

    F.TF

    12.1-12.3

    Right Triangle Trig

    F.TF

    Unit 19: Chapter 12B Trig Graphing

    12.6-12.7

    Graphing Sine and Cosine

    F.TF

    12.6-12.7

    Writing the Equation Given a Graph

    F.TF

    12.6-12.7

    Sinusoidal Applications

    F.TF

    12.6-12.7

    Graphing Cosecant and Secant

    F.TF

    12.6-12.7

    Graphing Tangent and Cotangent

    F.TF

    12.6-12.7

    Writing the Equation Given a Graph

    F.TF

    Unit 20: Chapter 12C Law of Sines, Cosines, Area

    12.4-12.5

    Law of Sines

    F.TF

    12.4-12.5

    Law of Cosines

    F.TF

    12.4-12.5

    Law of Sines Ambiguous Case

    F.TF

    12.4-12.5

    Area of Triangles

    F.TF

    Unit 21: Chapter 13A Identities

    13.1

    Use a variety of identities to simplify trig expressions

    F.TF

    13.2

    Showing a Methodical Left-side/Right-side Proof

    F.TF

    13.5

    Solving Trig Equations

    F.TF

    Unit 22: Chapter 13B More Identities

    13.3

    Sum and Difference Identities

    F.TF

    13.4

    Double Angle Identities

    F.TF

    13.4

    Half Angle Identities 

    F.TF

     

    END OF COURSE ‘20-’21

     

    Unit 13: Exponential Functions (Chapter 7)  

    7.1

    Graphing Exponential Functions (precalculus only)

    F.IF

    7.2

    Solving Exponential Equations and Inequalities

    (precalculus only)

    A.CED/F.LE

    Unit 14: Independent Project - Log Functions  (Chapter 7) 

    7.3

    **Logarithm Form - common and natural logs

       (no graphing or inequalities) (precalculus only)

    F.IF/F.BF

    7.5

    **Properties of Logs (precalculus only)

    A.CED

    7.4

    **Solving Log Equations (precalculus only)

    A.SSE/A.CED

    7.8

    **Applications of Logs (precalculus only)

    F.IF/F.LE/F.BF

    Unit 15: Sequence/Series   (Chapter 10) 

    10.1

    Sequences as Functions (now in precalculus)

    F.IF

    10.2

    Arithmetic Sequence and Series (now in precalculus)

    A.CED

    10.3

    Geometric Sequence and Series (now in precalculus)

    A.SSE

    10.4

    Infinite Geometric Series (now in precalculus)

     

    10.5

    Recursion and Iteration (now in precalculus)

     

    Unit 17: Statistics and Probability  (Chapter 11)  

    11.1

    Designing a Study (not part of alg 2 course)

    S.IC

    11.2

    Distributions of Data (not part of alg 2 course)

    S.IC

    11.3

    Probability Distributions (not part of alg 2 course)

    S.MD

    11.4

    The Binomial Distribution (not part of alg 2 course)

    S.MD

    11.5

    The Normal Distribution (not part of alg 2 course)

    S.ID

    11.6

    Confidence Intervals and Hypothesis Testing 

     (not part of alg 2 course)

    S.IC

     

    END OF COURSE ‘20-’21