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Core Content and Skills
Math Algebra 2/Trig R
2008-2009
BOE Approved 

Rational Expressions  Content   Skills  Operations with Polynomials Factoring Polynomials Reducing Rational Expressions Multiplying Rational Expressions Dividing Rational Expressions Adding & Subtracting Rational Expressions with Same Denominator Adding & Subtracting Rational Expressions with Different Denominators Complex Fractions Solving Fractional Equations Absolute Value Equations Absolute Value Inequalities   Perform arithmetic operations on polynomials Factor polynomials up to 3rd degree Simplify rational expressions Perform operations with rational expressions Simplify complex fractions Solve fractional equations Solve absolute value equations and inequalities

Real and Complex Numbers  Content   Skills  Roots and Radicals Solving Radical Equations Imaginary Numbers Complex Numbers Operations with Complex Numbers Solving Quadratic Equations with Imaginary Roots Nature of Roots Using given Conditions to Write Equations Solutions of Systems of Equations Quadratic Inequalities   Solve radical equations Simplify complex numbers Utilize the quadratic formula to solve quadratics with imaginary roots Write equations using sum and differences of the roots Solve systems of equations

Relations and Functions  Content   Skills  Relations Functions Relating Graphs to Real Life Situations Function Notation Types of Functions and Relations Inverse Variation Compositions of Functions Inverse Functions Conic Sections   Identify relations and functions Graph a relationship using real-life scenarios Implement several different notations to demonstrate the same function Identify parabolas, ellipses, hyperbolas, and circles from the equation Use inverse variation to graph relationships using real-world examples Find the composition of several functions Find the inverse of a function given the graph or the equation Identify and graph conic sections

Exponential Function  Content   Skills  Laws of Exponents Scientific Notation Fractional Exponents Exponential Functions Equations with fractional or negative exponents   Use the laws of exponents to manipulate logarithmic expressions. Write numbers in scientific notation. Rewrite radical expressions using fractional exponents and vice versa. Graph exponential functions. Solve exponential equations.     Geometry of the Circle  Content   Skills  Arcs and Angles Chords Inscribed Angles Tangents and Secants Angles formed by Tangents, Secants, and Chords Measures of Chords, Tangent Segments, and Secant Segments   Relate angles and arcs following theorems. Find all parts to a circle given a few bits of info Use theorems to find the lengths of the measures of secants, tangents, and chords     Logarithmic Functions  Content   Skills  Exponential Functions and their Inverses Logarithmic Form Common Logarithms Logarithmic Equations   Find the inverse of an exponential function Rewrite the inverses in logarithmic form. Use the laws of logarithms to manipulate expressions. Solve logarithmic equations.

Transformations  Content   Skills  Line Reflections Line Symmetry Point Reflection Point Symmetry Translations Rotations Dilations Compositions Coordinate Geometry Transformations of Polygons Isometries and Orientations   Identify shapes that have line and point symmetry Reflect a point of shape over the axes, over y=x, y=-x, x=k, y=k Slide a point, or shape, given a specific translation Identify a translation by looking at a graph or the new set of points Rotate a figure 90, 180, 270 and 360 degrees Identify and graphing new points after a specific dilation Identify and graphing a point, or figure, after a series of transformations Find the area of a polygon after a transformation Identify whether a shape remains the same size or is oriented in the same direction after a transformation

Trigonometric Functions  Content   Skills  The Right Triangle Angles as Rotations Unit Circle The Sine and Cosine Functions The Tangent Function Special Angles Finding Trigonometric Values on the Calculator Finding Angle Measure Given Trigonometric Values Finding Reference Angles Radian Measure Trigonometric Functions Involving Radian Measure Reciprocal Trigonometric Functions Pythagorean Identities Finding Remaining Trigonometric Values Given 1 Value Cofunctions   Review SOH CAH TOA with right triangles. Put angles in standard position and identify which quadrants they fall in. Identify the coordinates of the point where an angle intercepts the unit circle. Find the sine, cosine, and tangent functions of angles. Find the sine, cosine, and tangent of all quadrantal angles, and multiples of 30, 45, and 60 degrees. Utilize calculator to find the trigonometric values given the angles and vice versa. Find the trigonometric values of angles in the 2nd, 3rd, and 4th quadrants using the reference angles. Convert degree measure to radians and vice versa. Find the trig values of angles in radians. Find the secant, cosecant, and cotangent functions given the since, cosine and tangent. Develop the pythagorean identities using the unit circle, pythagorean theorem, and algebra. Find all 6 trig function values using the identities or triangles. Find equivalent trig expressions using cofunctions.

Trigonometric Graphs  Content   Skills  Wrapping Function Graphs of Basic Functions Amplitude Period Graphs of Reciprocal Functions Reflections over the Line y=x Inverse Trigonometric Functions   Graph any sine, cosine, or tangent function with various amplitudes and frequencies, and periods. Identify the graphs of the reciprocal functions. Find the inverse trig function graph by reflections.

Trigonometric Applications  Content   Skills  The Law of Cosines Area of a Triangle Law of Sines The Ambiguous Case Forces Solving Triangles   Solve application problems using the Law of Cosines, Law of Sines, and Area of Triangle formula. Find how many triangles can be drawn given limited information. Apply various laws to solve force problems.

Probability, Sequences, and the Binomial Theorem  Content   Skills  Permutations and Combinations Probability   Identify when the use of permutations and combinations is warranted. Find the probability of "at least..and at most" problems.     Trigonometric Equations and Identities  Content   Skills  Basic Trigonometric Identities 1st Degree Trigonometric Equations 2nd Degree Trigonometric Equations Equations Involving More Than One Function Sum and Difference Formulas Half and Double Angle Formulas   Use pythagorean, reciprocal, and quotient to solve trig equations. Solve 1st and 2nd degree trig equations using algebraic principles and identities. Use the sum and difference identities and half and double angle identities to solve trig equations.

Statistics  Content   Skills  The Summation Symbol Measures of Central Tendency Measures of Dispersion Normal Distribution Grouped Data Regression   Evaluate sums using proper summation notation. Identify mean, median, mode, and standard variation from data. Use normal distribution to evaluate statistics. Identify lines of best fit, and use calculators to find regression equations.     Math B Regents Review  Content   Skills  Regents style questions.   Students will practice answering regents style questions in preparation for the Math B Regents exam