Algebra 2 and Trigonometry

Algebra 2 and Trigonometry Text: Amsco Algebra II and Trigonometry Text/Workbook

Topic 1. The Integers A. Adding and Subtracting Polynomials B. Multiplying Polynomials C. Factoring Completely

Textbook Alg II/Trig 1.3 1.5 1.6

i. GCF and ii. Difference of 2 perfect squares iii. Factor by grouping iv. Trinomials where a=1 and v. Trinomials where a does not equal 1

E. Solving quadratic equations

1.7

2. Rational Expressions

Alg II/Trig

A. Simplifying rational equations / identify when undefined/ opposite factors B. Multiplying Rational Expressions and C. Dividing Rationals Expressions D. Adding/Subtracting with Same Denominators E. Adding/Subtracting with Different Denominators F. Solving Rational Equations G. Ratio and proportions (solving rational equations)

2.2 2.3 2.4 2.4 2.7 2.5

H. Complex Rational Expressions Review Test (Include Topic 1. The Integers)

2.6

3. Absolute Value and Inequalities

Alg II/Trig

A. Solve Absolute Value Equations B. Solve and Graph Absolute Value inequalities C. Quadratic Inequalities D. Solving Rational Inequalities

1.4 1.4 and 3.1 1.8 2.8

4. Roots and Radicals

Alg II/Trig

A. Square, Cube and nth root of a number B. Simplifying radicals (omit fractional radicand questions)

3.2 3.3

C. Adding and Subtracting Radicals (common and unlike radicands)

3.4

D. Multiply Radicals (include single distributive and double distributive-FOIL) E. Divide Radicals i. Perfect square fractions

3.5 3.3 and 3.6

ii. Denominator divides into numerator * do not include any problem that needs rationalizing F. Rationalizing the denominator G. Solving Radical Equations Review Test (Include Topic 3. Absolute Value and Inequalities)

5. Relations and Functions A. Relation and Functions B. Function Notation C. Linear Functions and Direct Variation D. Absolute Value Function F. Composition of Functions G. Inverse Functions I. Inverse Variation Review Test

3.3, 3.6, 3.7 3.8

Alg II/Trig 4.1, 4.2 4.3 4.4 4.7 4.8 4.10

End Marking Period 1 6. Quadratic Functions and Complex Numbers

Alg II/Trig

A. The Complex Numbers B. Operations with Complex Numbers (add, subtract, multiply, divide)

5.4 5.5

C. Completing the Square D. Quadratic Formula - real roots E. Quadratic Formula - imaginary roots F. The Nature of the Roots of any Quadratics (discriminant)

5.1 5.2 5.6 5.3

G. Sum and product of the Roots H. Quadratic Linear Systems and Solving Quadratics Inequalities I. Parabolas--Vertex Form J. Circles K. Solving Higher Degree Polynomial Equations E. Polynomial Functions (Review Solving Quadratic Functions)

5.7 5.9 5.1 4.9 5.8 4.5

Review Test

7. Exponential Functions A. Laws of Exponents B. Zero and Negative Exponents C. Fractional Exponents D. Exponential Functions and their Graphs (include y = ex ) E. Solving Equations involving Exponents F. Solving Exponential Equations

Alg II/Trig 7.1 7.2 7.3 7.4 7.5 7.6

G. Applications of Exponential Functions Review Test

7.7

End Midterm Examination 8. Logarithmic Functions

Alg II/Trig

A. Inverse of an Exponential Function B. Logarithmic Form of an Exponential Equation C. Logarithmic Relationships (Rules of Logarithms)

8.1 8.2 8.3

D. Common Logarithms E. Natural Logarithms F. Exponential Equations (Include Word Problems)

8.4 8.5 8.6

G. Logarithmic Equations (Include workbook problems 8.6)

8.7

H. Applications of Exponentials and Logarithmic Functions (8.6 and 8.7)

WB

Review Test

End Marking Period 2 9. Sequences and Series A. Sequences B. Arithmetic Sequences C. Sigma Notation D. Geometric Sequences E. Arithmetic Series, Geometric Series and Infinite Series

10. Trigonometric Functions

Alg II/Trig 6.1 6.2 6.3 6.5 6.4, 6.6, 6.7

Alg II/Trig

A. Right Triangle Review B. Terminal/Co-Terminal Angles, DMS (DMS: Supplement)

9.1 9.2

C. The Unit Circle; Sine, Cosine, Tangent D. Special Angles in Right Triangle E. Reference Angles F. Reference Angles and Calculator

9.3 9.6 9.8 9.8

11. More Trigonometric Functions

Alg II/Trig

A. Radian Measure B. Trigonometric Function Values and Radian Measure C. The Reciprocal Trigonometric Functions (include evaluating)

10.1 10.2 9.5

D. Cofunctions Review

10.6

Test (include Topic 9. Trigonometric Functions)

12. Graphs of Trigonometric Functions

Alg II/Trig

A. Amplitude, Period and Phase Shift, Frequency B. Domain and Range of Trigonometric Functions C. Graph of the Sine function D. Graph of the Cosine function E. Writing the equation of a Sine or Cosine Graph F. Graph of the Tangent function G. Graphs of the Recipocals Trigonometric Functions H. Inverse Trigonometric Functions (domain, range and evaluating)

11.3 10.4 11.1 11.2 11.4 11.5 11.6 10.5

I. Graphs of Inverse Trigonometric Functions J. Sketching Trigonometric Graphs including transformations (Honors:without calculator)

11.7 11.8

*Honors: Include Real World Applications of Trigonometric Graphs

13. Trigonometric Applications A. Law of Cosines B. Law of Sines C. The Ambiguous Case D. Solving Triangles (include Forces & Vectors) E. Area of a Triangle Review Test (Include Topic 11. Graphs of Trigonometric Functions)

Alg II/Trig 14.2, 14.3 14.5 14.6 14.7 14.4

End Marking Period 3 14. Trigonometric Identities

Alg II/Trig

A. Basic Trigonometric Identities and Pythagorean Identities B. Proving Trigonometric Identities C. Sine/Cosine of the Sum/Difference of Two Angles D. Tangent of the Sum/Difference of Two Angles E. Function Values of Double Angles F. Function Values of Half Angles

10.3, 12.1 12.2 12.3, 12.4, 12.5 12.6 12.7 12.8

15. Trigonometric Equations

Alg II/Trig

A. First Degree Trigonometric Equations B. Using Factoring to Solve Second Degree Trigonometric Equations C. Using the Quadratic Formula to Solve Second Degree Trigonometric Equations D. Using Substitution to Solve Trigonometric Equations Involving More Than One Function Review Test (Include Topic 13. Trigonometric Identities)

13.1 13.2 13.3 13.4, 13.5

16. Statistics A. Measures of Central Tendency and Measures of Central Tendency for Grouped Data B. Measures of Dispersion and Variance and Standard Deviation C. Normal Distribution/Bell Curve D. Correlation Coefficient & Linear Regression E. Non-Linear Regression F. Interpolation and Extrapolation Review Test (Include Topic 15. Sequences and Series)

17. Probability and the Binomial Theorem A. The Counting Principle B. Permutations and Combinations C. Probability D. Probability with Two Outcomes (exactly) E. Binomial Probability and the Normal Curve (at least) F. The Binomial Theorem Review Test

End Marking Period 4 Algebra 2/Trigonometry Regents Exam in June

Alg II/Trig 15.2, 15.3 15.4, 15.5 15.6 15.8 15.9 15.10

Alg II/Trig 16.1 16.2 16.3 16.4 16.5 16.6