Friday, January 10 - Law of Sines & the Ambiguous CaseLO: YWBAT determine how many triangles are possible given 2 sides and one angle..Essential Question:  What arrangement of 2 sides and 1 angle leads to the ‘ambiguous case’?Do Now ActivityAmbiguous Case HandoutHomeworkComplete Both HandoutsDeltaMathThursday, January 9 - Law of SinesLO:   You will be able to apply the Law of Sines to find missing sides or angles of a triangle.Essential Question: What are the conditions that allow us to use the Law of Sines?HomeworkDeltaMathWednesday, January 8 - Graphs of Inverse & Reciprocal Trig FunctionsLearning Objective:  You will be able to identify the graphs of reciprocal and inverse trig functions.Essential Question: Is tangent a periodic function?  Graphs of Reciprocal & Inverse Trig Functions HandoutHomework:Complete the  handoutDeltaMathTuesday, January 7 - Transforming Periodic FunctionsLearning Objective:  You will be able write a trig function given its graph.Essential Question: How can we apply what we know about function transformations to graphs of trig functions?Features of Sine & Cosine Functions Part 2Cosecant & Secant TablesHomework:Complete both HandoutsDeltaMath - Features of the graphs of Sine and Cosine, Review of Trig EquationsMonday, January 6 - Graphing Sine and CosineLearning Objective:  YWBAT write the equation given the graph of a sine or cosine function.Essential Question: How is the unit circle related to the graphs of the trig functions?Exploration: Transforming the Sine & Cosine CurvesHomework:DeltaMath - Amplitude, Midline, & Period from a Graph, Trig Graph DiscoverySine & Cosine - Write the Equation from the Graph (side 1 only)Tangent Table & Graph
Jonathan Rothmanjrothman@nychscl.orgjan6-108
 Thursday, January 2 - Trig IdentitiesLO:  You will be able to use Trig Identities to solve trig equations.Essential Question:    How many trig identities do we have to memorize and how many are we given?Solving Trig Equations Using Identities HandoutGraphing the Sine and Cosine Functions HandoutHomework:  Complete Both HandoutsDeltaMath - Pythagorean Trig Identities,  Quadratic Trig Equations with Identities
Jonathan Rothmanjrothman@nychscl.orgjan2-36
 Saturday, December 14 - Binomial ExpansionLO: YWBAT expand binomials of order 4 or greater.Essential Question: What Patterns can be found in the multiplication of binomials?Take the Lesson:  Watch the videos below and Take notes as you do.  Do the problems along with the teacher.Friday, December 13 - Confunctions and Simple Trig EquationsLO:  You will be able to use cofunctions to solve for an angle measure algebraically. Essential Question:  Where do we find confunctions on the unit circle?Confunctions HandoutHomework:Complete the Confunctions HandoutDeltaMath - cofunctions and Exact Value of Trig EquationsThursday, December 12 - Midterm ExamWednesday, December 11 - Midterm ReviewReview Day.  Learning Objective:  You will review for tomorrow's midterm Exam.Essential Question:  How can we best review for tomorrow's midterm?Homework:  Review MaterialBonus Review Sheet - worth 1 bonus point on tomorrow's MidtermMidterm Reference Sheet - to help you study for the older materialDeltaMath - Complete for 1 Bonus Point on the MidtermTuesday, December 10 - Reference AnglesLO:   You will use reference angles to create equivalent trig functions with acute angles.Essential Question:    Why would we ever need to create equivalent acute trig functions?Homework:Monday, December 9 - Trig Signs and Exact Value of Trig FunctionsLO: You will be able to determine which quadrant the terminal side of an angle is in, given the sign (+ or -) of its trig functions.Essential Question: Why is it important to know the sign value of a trig function in a particular quadrant?LO:   You will use the unit circle to solve trig equations.Essential Question:  What part of the unit circle do we refer to when we’re trying to find the angle of a trig function?Homework:Exact Value of Trig Functions WorksheetTrig Signs WorksheetDeltamath - Trig Sign 4 correct, Trig Signs (tricky) 2 Correct,  Exact Value of All Trig Functions 4 correct
Jonathan Rothmanjrothman@nychscl.orgdec9-1311
 Thursday, December 19 - Double Angle FormulasLO:  You will be able to use Double Angle formulas to solve trig equations.Essential Question:    How are the Double Angle formulas related to the Sum & Difference formulas?Double Angle Formulas HandoutHomework:Complete the HandoutDeltaMath - Sum & Difference Formulas,  Double Angle Formulas, Quadratic Trig IdentitiesWednesday, December 18 - Sum & Difference FormulasLo:  YWBAT use sum & Difference formulas to solve Trig Equations.Essential Question:  How can we be sure that we've found the exact value?Sum & Difference Formula handoutHomework:DeltaMath - Quadratic Trig Equations, Sum & Difference Formulas.Complete the Sum & Difference handout.Tuesday, December 17 - Quadratic Trig EquationsLO:  You will be able to solve quadratic trigonometric equations.Essential Question: What do we want to “get by itself” to solve trig equations?Quadratic Trig Equations HandoutHomework:Complete the HandoutDeltaMath - Inverse Reference and Quadrants, Quadratic Trigonometric Equations, Pythagorean IdentitiesMonday, December 16 - Linear Trig EquationsLO:  You will be able to solve trigonometric equations.Essential Question: How can the unit circle help us solve trig equations?Linear Trig Equations HandoutHomework:Complete the handoutDeltaMath - Inverse Trig Functions
Jonathan Rothmanjrothman@nychscl.orgdec16-219
 Friday, November 6 - Sine, Cosine, & Tangent from the Unit CircleLO: Given Points on a unit circle, YWBAT determine the values of sine, Cosine, and Tangent of an Angle.Essential Question:  If it's called trigonometry, why are we studying circles?Classwork:  Points on the Unit Circle  Worksheet Goes with This Geogebra InteractiveHomework:DeltaMath - Exact Trig Value Graphically, Coterminal AnglesReminder!  Saturday Class tomorrow!  Rationals!Double Reminder!  Midterm on Thursday - material includes everything since the beginning of the semester!Thursday, November 5 - Special Right Triangles and the coordinate around the unit circleLO:  You will use the ratios of the sides of special right triangles to fill in the points around the unit circle.Essential Question:  How is the unit circle connected to triangles?Homework:DeltaMath - Quiz Review materialComplete the Unit Circle  - Fill in the Angles and CoordinatesWednesday, November 4 - Reciprocal Trig Functions and Trig IdentitiesLO: YWBAT to determine the ratios of all six trig functions.Essential Question: What happens when we multiply reciprocal trig functions?  OR   Since when were there six trig functions? Reciprocal Trig Functions HandoutHomework:DeltaMath - Identify Trig Ratios, Reciprocal Trig IdentitiesComplete the handoutTuesday, November 3 - Coterminal Angles, Degrees Minutes Seconds (Dº M' S")LO: YWBAT verify if two angles are “coterminal”.Essential Question:  How many coterminal angles can an angle have?Negative & Coterminal Angles WorksheetNegative & Coterminal Angles HandoutHomework:  Complete both handoutsDeltaMath - Rotate large angles, Find coterminal angles, Degrees Minutes SecondsRemember!  Regents Packet #4 is Due Tomorrow!!!  Monday, November 2 - Standard Position and Arc LengthLO: You will be able to find the length of an arc given the measure of the angle that subtends that arc.Essential Question:   How does arc length relate to radian measure?Homework:Standard Position handoutArc Length HandoutDeltaMath - Arc Length 3 correct, Rotating Small Angles 6 correct
Jonathan Rothmanjrothman@nychscl.orgdec2-612
 Friday, November 22 - Quest ReviewLO: You will review for your exponents and logarithms quest.Essential Question:  How best can we work together to prepare for tomorrow’s quest?In-Class Review PacketHomework:DeltaMath - 9th Grade Trigonometry Review.  Log into DeltaMath and Watch the Video (Khan Academy).  Thursday, November 21 - Solving Log EquationsLO:  YWBAT solve log equations.Essential Question:  Why is there a restriction on the domain of log functions?Homework:  DeltaMath - Test 5 Review (Worth 1 Bonus Point on the Quest)Complete the Front Side of the Solve Log Equations handout.Wednesday, november 20 - Properties of LogarithmsLO: You will be able to expand and condense log expressions.Essential Question:  How are log properties related to exponent properties?Logarithms Notes sheet and PracticeHomework:Logarithms - Regents ProblemsDeltaMathTuesday, November 19 - Introduction to LogarithmsLO:  You will be able to convert from an exponential to a logarithmic equation (and back).Essential Question: What is the inverse of an exponential function?Classwork - Graphing Logarithmic EquationsHomework: DeltaMath - Like Bases, Introduction to LogarithmsLogarithms Regents ProblemsMonday, November 18 - Exponential Function Word Problems & Like BasesLO: YWBAT solve exponential word problems.Essential Question: How can we get x by itself when x is an exponent?Classwork:  Exponential Functions Word Problem (Half Sheet)LO: YWBAT solve exponential equations by using ‘like bases’.Essential Question: How can rewriting an equation make a tough problem easy to solve?Homework:Like Bases HandoutDeltaMath - Exponential Word Problems 3 correct, Like Bases 4 correct
Jonathan Rothmanjrothman@nychscl.orgnov18-2211
Jonathan Rothmanjrothman@nychscl.orgnovember25-276
 Friday, November 18 - Exponential Word ProblemsLO: You will be able to calculate the rate of growth or decay.Essential Question How can we tell if we have growth or decay?Classwork:  Exponential Growth & decayHomework:  DeltaMath - Exponential Functions 8 correctExponential Decay Word ProblemsThursday, November 14 - Test4 & Exponential FunctionsLO: YWBAT calculate the rate of exponential growth or decay.Essential Question What every day changes can be modeled by exponential growth and decay?Classwork:  Exponential Growth & decayHomework:  DeltaMathDue Thursday, November 18!  Regents Packet 3 -   Instructions    Regents PacketWednesday, November 13 - Quadratic inequalities, Quest ReviewLO:  YWBAT solve quadratic inequalities.Essential Question: Where do we see the roots in our solutions to quadratic inequalities?Homework:Quadratic Inequalities Part 2Quest/Test 4 Bonus Review PacketDeltaMath - Quadratic Inequalities and Test Review MaterialTuesday, November 12 - Quadratic InequalitiesLO:  YWBAT solve quadratic inequalities.Essential Question: What part of the graph paper is > y = 0?  What part is
Jonathan Rothmanjrothman@nychscl.orgnov12-1511
Jonathan Rothmanjrothman@nychscl.orgnov4-89
Jonathan Rothmanjrothman@nychscl.orgoct28-nov117
 Friday October 25 - Difference of SquaresLO: YWBAT factor a difference of squares.Essential Question: Can we factor binomial quadratics that do not have perfect squares?Homework:Difference of Squares HandoutDeltaMath - Difference of Squares Level 1 & 2 6 correct, Factor By Grouping 3 correct.Regents Packet #2 - Due Monday, November 4th - Instructions     Regents Packet Thursday, October 24 -LO: You will be able to factor trinomials.Essential Question:  What can we do to factor quadratics more quickly when a = 1?Homework:Factor Quadratics HandoutDeltaMath - Factoring Trinomials 4 correct, Multistep Factoring 2 correct, Difference of Squares 4 correct.Wednesday, October 23 - Factor by Grouping, Factor QuadraticsLO: YWBAT factor by grouping.Essential Question: Can a polynomial be a factor?LO: You will be able to factor trinomials.Essential Question:  What can we do to factor quadratics more quickly when a = 1?Homework:Complete Factor by Grouping (Back of GCF Handout)Deltamath: GCF Multivariable 2 correct, Factor by Grouping 4 correct, Factor Trinomials (3 correct)Helpful Videos:  Factor by Splitting the Middle Term    &  Factor By Splitting the Middle Term (With Pinwheel!)Tuesday, October 22 - Greatest Common Factor (GCF)LO: YWBAT find the greatest common factor of a polynomial.Essential Question:  Can algebraic expressions be prime?Homework:GCF Handout (page 1 only)DeltaMath - GCF (4 Types - 2 correct for each)Monday, October 21 - Multiply and Rationalize Complex NumbersLO: YWBAT multiply complex numbers.Essential Question: How many numbers can be considered complex?  Announcement:  Quiz on Imaginary & Complex Numbers Tomorrow.   Download the Review Sheet Here.  Check the Answer Key Here.Homework:DeltaMath - Multiply Complex Numbers 3 correct, Find the conjugate 4 correct, Rationalize Imaginary Numbers 4 correctComplete the Multiply & Rationalize Complex Numbers Handout
Jonathan Rothmanjrothman@nychscl.orgoct21-2514
 Friday, october 18 - Complex NumbersLO:   You will learn how to do operations (+, -, x, ÷) with complex numbersEssential Question: How many numbers can be considered complex numbers?Homework:Power of i handout - Side 2Operations with Complex Numbers - Side 1 OnlyDeltaMath - Powers of i, Add & Subtract complex numbers, Add & subtract polynomialsThursday, october 17 - Powers of iLO: You will be able to simplify powers of i.Essential Question: What is the pattern in the powers of i?in-class activity sheet:  Powers of i  TablePower of i practice sheetHomework:Power of i handout - Side 1 onlyDeltaMath - Powers of i Basic 4 correct, Powers of i  3 CorrectWednesday, October 16 - PSAT Wind-DownLO: You will begin to put together a list of interests and accomplishments for college..Essential Question: How do I start preparing for the college application process?Tuesday, October 15 - Introduction to the ImaginaryLO: YWBAT take the square root of a negative number.Essential Question: Do imaginary numbers have use in the real world?Homework:  Introduction to Imaginary Numbers WorksheetDeltaMath - Simplify RadicalsDeltaMath - WhyU Video "Number Systems and the Number Line"Additional Instruction:  Definition of i and Simplifying Imaginary Numbers
Jonathan Rothmanjrothman@nychscl.orgoct15-1814