Sept

Oct

Nov

Dec

Jan

Feb

March

April

May

June

Themes

Linear, Quadratic, and Polynomial Functions

Polynomial Functions and Inequalities

Inequalities and Functions

Functions, exponents, and logarithms

Exponents, logarithms and analytic geometry

Analytic Geometry and trigonometric functions

Trigonometric functions, equations and applications

Trigonometric equations, applications

Triangle trigonometry and addition formulas

, vectors, and determinants

Academic Standards, Student Expectations and

Major Skills

1. Find the intersection of two lines and the midpoint or length of a line segment.

2. Find the slope of a line and determine if two lines are parallel, perpendicular, or neither.

3. Find an equation of a line given certain geometric properties of the line.

4. Add, subtract, multiply, and divide complex numbers.

5. Solve quadratic functions by factoring, completing the square or using the quadratic formula.

6. Define and graph quadratic functions.

7. Model real world situations using quadratic functions.

1. Use a graphing calculator to approximate the real roots of a polynomial equation.

2. Solve a polynomial equation by various factoring methods, including using the rational root method.

3. Apply all general theorems about polynomial equations.

4. Solve and graph linear inequalities in one variable.

5. Solve and graph linear inequalities in one variable involving absolute value.

8. Identify a polynomial, evaluate it using synthetic substitution and determine its zeros.

9. Use synthetic division and apply the remainder and factor theorem.

10. Graph a polynomial function and determine an equation for a polynomial graph.

11. Write a polynomial equation for a given situation and find the maximum or minimum value for the equation.

1. Identify a function, determine the domain, range, zeros and graph it.

2. Perform operations on functions and determine the domain of the resulting functions.

3. Reflect graphs and use symmetry to sketch graphs, determine periodicity and amplitude from graphs, stretch and skrink graphs both vertically and horizontally.

4. Translate graphs.

5. Find the inverse of a function if it exists.

1. Define and apply integral exponents.

2. Define and apply rational exponents.

3. Define and apply exponential functions.

4. Define and apply the natural exponential functions.

5. Define and apply logarithms.

6. Apply the laws of logarithms.

7. Solve exponential equations.

1. Change logarithms form one base to another.

2. Prove theorems from geometry by using coordinates.

3. Find equations of circles, coordinates of any points where circles and lines meet.

4. Find equations and graph ellipses.

5. Find equations and graph hyperbolas.

1. Find equations and graph parabolas.

2. Solve systems of second degree equations.

3. Find the measure of an angle either in degrees or in radians.

4. Find co-terminal angles.

1. Find the arc length and area of a sector of a circle.

2. Solve simple trigonometric equations.

3. Use references angles, calculators, tables, and special angles to fin the values of the sine and cosine functions and sketch the graph.

4. Find the values of the tangent, cotangent, secant and cosecant functions and sketch the graph of them.

5. Find the values of the inverse trigonometric functions.

1. Solve and apply simple trigonometric equations.

2. Find and apply equations of different sine and cosine curves.

3. Use trigonometric functions to model periodic behavior.

4. Simplify trigonometric expressions.

5. Solve trigonometric identities.

6. Use trigonometry to find unknown sides or angles of a right triangle.

7. Find the area of a triangle given the lengths of two sides and the measure of the included angle.

8.Use the Law of sines and cosines to find unknown parts of a triangle.

1. Derive and apply formulas for and .

2. Derive and apply formulas for .

3. Derive and apply double angle and half angle formulas.

4. Use identities to solve trigonometric equations.

5. Graph polar equations.

6. Write complex numbers in polar form.

7. Find products in polar form.

1. Perform basic operations on vectors.

2. Use coordinates to perform vector operations.

3. Define and apply the dot product.

4. Extend vectors to three dimensions and to apply them.

5. Define and evaluate determinants.

6. Use determinants to sole algebraic and geometric problems.

7. Define and apply the cross product.

Textbook Chapters

Ch 1: Linear, Quadratic, and Polynomial Functions

2: Polynomial Functions and

3: Inequalities

3: Inequalities

4: Functions

4: Functions

5: Exponents, and Logarithms

5: : Exponents, and Logarithms

6: Analytic Geometry

6: Analytic Geometry

Ch.7: Trigonometric Functions

Ch.7: Trigonometric Functions

Ch. 8 Trigonometric equations and applications

Ch.8: Trigonometric equations and applications

Ch.9:

Triangle Trigonometry

Ch.10: Trigonometric equations

Ch.11: Polar coordinates, complex numbers

Ch.12: Vectors, and Determinants

Coached Projects

Linear & Quadratic project

Polynomial function project

Seminars