Monday, June 9 - Regents Review Day 3 & Mini-Lesson: Euler's Number & the Natural LogLO: We will review last Tuesday's Mock Regents.Essential Question:  What is the base of the Natural Log?Today's Handout: e and the natural LogHomework: DeltaMathComplete the handout
Jonathan Rothmanjrothman@nychscl.orgjune9-134
 Friday, June 6 - Review Day 2 & Mini-Lesson: Correlation & RegressionLO: We will review our Mock Regents.Essential Question: Do we know how much we don't know?Mini-lesson:  Correlation & RegressionHomework: DeltaMathNext Monday's Quiz options: Correlation & Regression, Graphs of Sinusoidal FunctionsWednesday, June 4 - Review Day 1 & Mini-lesson: Combinations & PermutationsLO: We will review Tuesday’s mock Regents.Essential Question: When should we use combinations and when should we use permutations to determine the total number of ways that something can happen?Today's Handout:  Combinations & PermutationsHomework:  Complete the HandoutDeltaMath - on Today's Regents review topics: Factor by Grouping, Difference of Squares, Solve Reciprocal Trig Functions.        8th Period Topic: LO: YWBAT to determine how many triangles are possible given 2 sides and one angle..Essential Question:  What arrangement of 2 sides and 1 angle gives rise to the ‘ambiguous case’?Handout:  Ambiguous CaseTuesday, June 3 - Mock Regents!  1 - 4 pmMonday, June 2 - graphs of Sinusoidal FunctionsLearning 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?Today's Handouts:  Graphs of Sine and CosineHomework: Complete the handoutDeltamath
Jonathan Rothmanjrothman@nychscl.orgjune2-611
 Saturday Class - Sequences, Series, and SummationPart 1:  Arithmetic & Geometric Sequences   Handout:  Arithmetic & Geometric SequencesLearnZillion Videos:                                         1.  Represent an arithmetic sequence as an explicit rulePart 2: Sum of a Serieshandout: Sum of a SeriesPart 3: Sigma NotationHandout: Sigma NotationFriday, may 30 - Difference/Sum Formulas & Double Angle FormulasLO:  You will be able to use Sum & Difference formulas to solve trig equations.Essential Question:    How can we be sure that we’ve found the exact value?Today's handouts:  Sum and Difference Formulas & Double Angle FormulasHomework: DeltaMathComplete Both HandoutsThursday, May 29 - Trig Equations with 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?Today's Handout: Pythagorean Quadratic Trig & Graphing Sine & CosineHomework: Complete the HandoutDeltamathWednesday, May 28 - 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?Today's Handout: Quadratic Trig EquationsHomework:  Complete the handoutDeltaMathLearnZillion Video:  Recursive SequencesTuesday, May 27 - Linear Trig EquationsLO:  You will be able to solve trigonometric equations.Essential Question: How can the unit circle help us solve trig equations?Today's Handout:  Linear Trig EquationsHomework:  Complete Today's HandoutDeltaMathLearnZillion Videos:  Prove the Pythagorean Identity using the unit circle  &. Derive new Pythagorean identities
Jonathan Rothmanjrothman@nychscl.orgmay27-3110
 Saturday, May 24 - Standard Deviation & the Standard Normal CurveLO: Given a set of observations, YWBAT determine the standard deviation of that data set.Essential Question: What does the standard deviation tell us about a data set?Handouts: Standard Deviation & Standard Normal CurveLearnZillion Videos:  Thursday, May 22 - Reference Angles & CofunctionsLO   You will use reference angles to create equivalent trig functions with acute angles.Essential Question    Why would we need to create equivalent acute trig functions?Handouts: Reference Angles & Cofunctions Wednesday, May 21 - Signs 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?Today's Handout:  Signs of Trig FunctionsHomework:  Complete today's handout/DeltamathLearnZillion Video: Evaluate trigonometric angles in all four quadrantsTuesday, may 20 - Putting the Unit Circle to UseLO:   You will use the unit circle to simplify trig expressions.Essential Question:  What part of the unit circle do we refer to when we’re trying to find the angle of a trig function?Today's Handout:  Evaluate Angles around the Unit CircleHomework:  complete the handoutDeltamathTrigonometry Intro Unit Test Review Packet (due day of the Test)LearnZillion Video:  Signs of Trig Functions Monday, May 19 - Special Right Triangles & 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?Today's Handouts:  Coordinates of the Unit Circle Discovery & Blank Unit CircleHomework: DeltaMath - Special Right Triangles, Exact value of trig functionsComplete both handouts
Jonathan Rothmanjrothman@nychscl.orgmay19-2315
Jonathan Rothmanjrothman@nychscl.orgmay12-1610
 Friday, May 9 - Log EquationsLO:  YWBAT solve log equations.Essential Question:  Why is there a restriction on the domain of log functions?Today's Handouts: Log Equations & Test 6 REview PacketHomework:  DeltaMathComplete the Log Equations WorksheetThursday, May 8 - Properties of LogsLO: You will be able to expand and condense log expressions.Essential Question:  How are log properties related to exponent properties?Today's Handouts:  Log Properties Lesson Sheet & Log Properties Regents QuestionsHomework: DeltaMathComplete Both handoutsWednesday, May 7 - Like Bases, 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?Today's handouts: Like Bases & Introduction to LogarithmsHomework:  DeltaMathComplete both handoutsLearnZillion Video:  Evaluate logarithms using exponentialsTuesday, May 6 - Exponential Growth & Decay, Like BasesLO: YWBAT solve exponential word problems.Essential Question: How can we get x by itself when x is an exponent?Today's Handout:  Growth & Decay Word Problems 2Homework: DeltaMathComplete today's handoutMonday, may 5 - Exponential Growth & Decay 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?Today's Handout:  Growth & Decay Word ProblemsHomework: DeltaMath - Exponential Functions (3 Correct)Complete Side 1 of today's handout
Jonathan Rothmanjrothman@nychscl.orgmay5-913
Jonathan Rothmanjrothman@nychscl.orgapril28-may214
 Friday, April 25 - Complete the Square Part 1LO: YWBAT solve by completing the square.Essential Question: Can we solve a quadratic without setting it equal to 0?Today's Handouts:  Exploration - Complete the Square & Complete the Square PracticeHomework:  Complete the HandoutsDeltaMath - complete the Squared rational solutions (4), complete the Square Irrational solutions (4), Find the Complete the Square constant (2)Thursday, April 24 - Vertex FormLO:    You will be able to graph a parabola (quickly) given its quadratic equation.Essential question: Where have we seen vertex form before?Today's Handout:  Vertex FormHomework: Complete today's handoutKhan Academy (Log in Through DeltaMath) - Graphing Quadratics in Vertex FormLearnZillion video:  Complete the SquareWednesday, April 23 - Graphing QuadraticsLO:  YWBAT describe the graph of a quadratic by looking at its equation.Essential Question: How many points do we need to know to quickly sketch a the graph of a quadratic?Homework:  DeltaMath - Given the Parabola Find the Possible Discriminant
Jonathan Rothmanjrothman@nychscl.orgapril23-2510
Jonathan Rothmanjrothman@nychscl.orgapril7-117
 Friday, April 4 - difference of SquaresLO: YWBAT factor a difference of squares.Essential Question: Can we factor binomial quadratics that do not have perfect squares?Today's Handout: Difference of SquaresHomework: DeltaMathComplete the HandoutThis Weekend's Video:Thursday, April 3 - Factoring TrinomialsLO: You will be able to factor trinomials.Essential Question:  What can we do to factor quadratics more quickly when a = 1?Today's Handout: Factoring TrinomialsHomework: DeltaMath - Greatest common Factor (3), Factor Trinomials (4), master Product Trinomial Factoring (2)complete Today's handoutTonight's Video: Difference of Perfect Squares - on EducanonWednesday, April 2 - Factor by Grouping & the number PuzzleLO: You will be able to factor trinomials.Essential Question:  What can we do to factor quadratics more quickly when a = 1?Today's Handout: Factor by Grouping   &   number PuzzlesHomework: DeltaMathComplete today's handoutTuesday, April 1 - Quadratics Unit Begins!  Greatest Common FactorLO: YWBAT find the greatest common factor of a polynomial.Essential Question:  Can algebraic expressions be prime?Today's Handout:  Greatest Common FactorHomework: Complete Today's HandoutDeltaMath: GCF Level 1 (3), GCF Level 2 (3), FActor by Grouping (4)Reminder: Quiz tomorrow!  9am!  Imaginary & Complex Numbers.Tonight's Video on EducanonMonday, March 31 - Rationalizing Complex NumbersLO: YWBAT rationalize complex numbers.Essential Question: How many numbers can be considered complex?  Today's Handouts:  Rationalize Complex Numbers    &     Complex Numbers Quiz Review (quiz on Wednesday!)Homework:  Complete the Rationalize complex numbers handoutDeltamath - Add and subtract imaginary numbers (3), Rationalize complex numbers (4)Remember!  Due Tomorrow!  Regents Packet 1!  Download the Instructions Here and the Packet Here.  Educanon.com Video:  Greatest Common Factor (access the lesson by going to Educanon.com and signing in with your Google Account).
Jonathan Rothmanjrothman@nychscl.orgmar31-april315
 Friday, March 28 - Operations with Imaginary Numbers and Complex NumbersLO: You will be able to perform operations with imaginary numbers.Essential Question: What is the difference between the conjugate and the additive inverse?  Today's Handouts:  Operations on Complex NumbersHomework: Complete today's handoutsDeltaMath: Powers of i (3), Add & Subtract complex Numbers (4), Multiply Complex Numbers (4)LearnZillion:  Multiply two complex numbersThursday, March 27 - Powers of iLO: You will be able to simplify powers of i.Essential Question: What is the pattern in the powers of i?Today's handouts:  Powers of i investigation, Simplify Powers of i warmup,  & Powers of i regents QuestionsHomework: Complete both HandoutsDeltamath:  Powers of i (Timed), Powers of i (Basic) (3), Powers of i (3)LearnZillion:  Multiply by Imaginary NumbersWednesday, march 26 - Imaginary NumbersLO: YWBAT take the square root of a negative number.Essential Question: Do imaginary numbers have use in the real world?Today's Handouts: Intro to the Imaginary  &    Do Now Real Number LineHomework:  Complete the Intro to the Imaginary handoutDeltaMath - Simplify Radicals (4), Find the Conjugate(3)LearnZillion:Tuesday, March 25 - Test Review & TestAnnouncement: Regents Packet 1 - Due Tuesday, April 1st  Download the Instructions Here and the Packet Here.  Monday, March 24 - Rationalizing DenominatorsLO: YWBAT rationalize denominators.Essential Question: Who thought up this 'rationalizing denominators' thing anyway?  (And why does it matter if there is a radical in the denominator?)Today's Handout:  FOIL Radical Binomials & Rationalize DenominatorsHomework: Complete today's HandoutDeltaMath - Rationalizing denominators AND Review for Test 2.Test 2 Review Packet - worth up to 3 bonus points on Test 2
Jonathan Rothmanjrothman@nychscl.orgmar24-2815
Jonathan Rothmanjrothman@nychscl.orgmar17-219
 Friday, February 28 - Restricted Domains Review and Unit 1 Vocabulary LO: YWBAT create precise definitions of important terms we have learned so far.Essential question: What should we include with a definition to make it truly useful?Today we are collectively creating our virtual Word Wall, one that our entire class can use to study vocabulary.  The assignment:Log into our class set  on Quizlet (watch video on the next slide to see how to do this).Create flashcards for 2 words (word assignments are on the next, next slide.  Note: Put your last name on the cards you create.)Check the definitions of other students (assignment on next, next slide.  Note:  Put your last name as the checker.)Your grade will be based on the quality of the definitions of your own words AND the words of the person you are checking!Word Assignments: Thursday, February 27 - Restricted DomainsLO: YWBAT determine the domain of a rational and radical functions.Essential question: Why are the domains of some functions – but not others - restricted?Today's Handout:  Restricted DomainsHomework: Complete today's handoutDeltaMathWednesday, February 26  - Graphs of Inverse FunctionsLO:  You will be able to find the inverse of a function graphically.Essential Question:  Is the inverse of a function always a function?Graphing Inverse Functions HandoutHomework:Complete the HandoutComplete yesterday Parent Functions Handout (like, totally,and completely)DeltaMath - Identify Inverses Graphically (4), Finding the Domain (2), Finding the Range (2)Tonight's LearnZillion Video:   Understand restrictions on functions in terms of domain and rangeTuesday, February 25 - Inverse FunctionsLO:  YWBAT find the inverse of a function..Essential Question: How does function composition help us identify the inverse?Function Inverse HandoutGraph Parent Functions - Desmos ActivityHomework:DeltaMath - Invert Linear Functions (4)Tonight's LearnZillion Video:  Understand restrictions on functions in terms of domain and rangeMonday, February 24 - composition of Functions and Inverse FunctionsLO:  YWBAT compose two or more functions..Essential Question:  Is there a difference between f(g(x)) and g(f(x))? Composition of functions 2 HandoutHomework:Complete both HandoutsDeltamath - Composition of Functions with x (4), Tonight's Video:  Watch this playlist with 7 videos of some basic parent functions
Jonathan Rothmanjrothman@nychscl.orgfeb24-289