PERIOD _________________ 6th MP FORMULA PROJECT Unit # Unit 1 Functions and Relation Unit 2 Trig Unit 1 Basic Trig. Unit 3 Radicals and Complex Numbers Unit 4 Quadratic functions Unit Topics Functions and Relations Introduction to Functions One to one and onto functions Evaluate a function using function notation Composition of Functions Inverse Functions Direct and Inverse variation Transformation Domain and Range Absolute Value Equations and Inequality SOH CAH TOA Angles in a coordinate plane Unit circle Co-functions Radian to degree Degree to Radian Exact Value Length of an Arc Reciprocal Trig Functions Inverse Trig Functions Simplify Radicals Perform basic operations with radical expression Rationalize the denominator Solving Radical Equations Write square roots of negative numbers in terms of i Rationalize the denominator with radical and also ‘i’ Imaginary and complex numbers Simplify powers of ‘i’ Conjugate, Additive and multiplicative inverse. Operations with complex numbers Factoring (where a = 1) Factoring (where a ≠1) by common factor extraction, difference of 2 squares, factor by grouping. Solving quadratic function by factoring Solving using the Quadratic formula Solving using completing the square Use discriminant to find nature of roots Find Sum and Product of roots Find quadratic equation given sum and product of roots DUE MAY 9th Student /group Unit 5 Quadratic Inequality , Circles and Systems, Polynomials Unit 6 Trig. Graphing Unit 7 Rational Functions Unit 8 Statistics Unit 9 Trig. Laws Unit 10 Exponents Quadratic Inequality Standard and center radius form of a circle. Finding the equation of a circle given the center and radius Finding the equation of a circle given 2 points. Solving systems Operations with polynomials (with rational coefficients) Factoring higher order polynomails Solving higher order polynomials Find amplitude, period, frequency Sine curve Cosine curve Phase Shift and translation Sketch and recognize graphs, domain and Range of all 9 trig. Functions Undefined/Excluded value Simplify Add/ Subtract Multiply/ Divide Solve rational Equations Solve rational Inequality Complex Fractions Understand the differences among various kinds of study – survey, observation, controlled experiment. Determine the factors which may affect the outcome of a survey. Measure of central Tendency, Standard deviation and variance, range, quartiles, interquartile range. Normal distribution Regressions (linear, quadratic, exponential, logarithmic, power) and Correlations Law of sine Law of cosine # of triangles – Ambiguous case Area of a triangle Vectors Use rules of exponents to simplify expressions Zero and negative exponents Re-write rational and radical eponents Simplify Rational Exponents Solving using common base Solving using reciprocal exponent Unit 11 Logs Unit 12 Probability Unit 13 Sequence and series Unit 14 Solving Trig. Equations 15: SOLVE AND KEY WORDS Exponents as logs Log properties Combining and expanding logs Evaluate log expressions with any base Graph of log function and their inverse Exponential function and their graphs Domain and range Evaluate exponential expressions including those with base e Natural logs Solve exponential and log equations Application of exponential functions Multiplication counting principle Permutation Combination Probability of multiple events Binomial Distribution (exactly, at least or at most) Binomial Theorem Explicit formula of sequence Recursive formula of sequence Series – arithmetic and geometric Sigma notation Justify Pythagorean Identities Solve trig equations using reciprocal and inverse function Angle sum and difference formulas Double and half angle rules Ex. Solve Quadratic function Solve systems Solve radical equations Solve rational equations Solve rational inequality. ………………………… Arc length, varies inversely……. Student/Student Name _______%contribution_______Signature_______ Student/Student Name _______% contribution______Signature__________ Unit # Title_________ - Formulas - Things to remember (bubbles) -Examples - Diagrams - Steps - Calculator commands - -----------. - 1 to 2 Pages Look through: Class notes and Handout. Formula sheets(DO NOT COPY) Text Book Internet Algebra 2 and Trig. Handbook