Daily Agenda & HW

Jan 6 - 10

posted Jan 6, 2014, 5:35 PM by Jonathan Rothman   [ updated Jan 10, 2014, 8:14 PM ]

 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

Jan 2 - 3

posted Jan 1, 2014, 8:09 PM by Jonathan Rothman   [ updated Jan 6, 2014, 4:43 PM ]

 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

Dec 16 - 21

posted Dec 16, 2013, 12:31 PM by Jonathan Rothman   [ updated Jan 1, 2014, 8:00 PM ]

 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

Dec 9 - 13

posted Dec 9, 2013, 2:23 PM by Jonathan Rothman   [ updated Jan 1, 2014, 8:01 PM ]

 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

Dec 2 -6

posted Dec 2, 2013, 9:26 PM by Jonathan Rothman   [ updated Dec 6, 2013, 5:21 PM ]

 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

Nov 25 - 27

posted Nov 24, 2013, 6:16 PM by Jonathan Rothman   [ updated Nov 28, 2013, 12:18 PM ]

 Wednesday, November 27 - Angles Around the Unit CircleLO: You will apply radian and degree measures to break up a circle into “useful” sections.Essential Question: How are radians a more natural way of describing angle measure?HomeworkDeltaMath - Trigonometry Intro and Review MaterialRegents Packet 4 - Due Wednesday, December 4th Regents Packet     InstructionsTuesday, November 26 - Breaking the Unit Circle into Useful SectionsLO: You will apply radian and degree measures to break up a circle into “useful” sections.Essential Question: How are radians a more natural way of describing angle measure?Homework:  DeltaMath - Radians to Degrees, Degrees to Radians, Estimate Angle MeasurementsRadian Measure WorksheetBreak Up the Unit Circle WorksheetLabel Angles Around the entire Unit CircleMonday, November 25 - Trigonometry Begins!  Introduction to RadiansLO:  You will be able to convert from degrees to radians (and back).Essential Question: What is a radian?Radian Discovery Activity SheetHomework:Complete the Radian Discovery Activity SheetDeltaMath - decrees to radians 4 correct, Radians to Degree 4 correct, Hands of a Clock 2 correct

Nov 18 - 22

posted Nov 19, 2013, 5:23 AM by Jonathan Rothman   [ updated Dec 1, 2013, 1:20 PM ]

 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

Nov 12 - 15

posted Nov 12, 2013, 5:33 AM by Jonathan Rothman   [ updated Nov 17, 2013, 8:39 AM ]

 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

Nov 4 - 8

posted Nov 3, 2013, 7:53 PM by Jonathan Rothman   [ updated Nov 8, 2013, 9:27 AM ]

 Friday, November 8 - Product and Sum of the RootsLO: YWBAT calculate the product and the sum of the roots of a quadratic.Essential Question: How are a, b, & c related to the roots of a quadratic?Part 1:  Complete the Square Wrap-upHomework:Product and Sum of The RootsDeltaMath - complete the Square, Product and Sum of the RootsThursday, November 7 - Complete the SquareLO: YWBAT solve by completing the square.Essential Question: Can we solve a quadratic without setting it equal to 0?Activity:  Create a Perfect Square TrinomialHomework:Complete the Square - Side 1, Solve for x; Side 2, Write in Vertex FormDeltaMath - Find the Complete the Square Constant 3 correct, Complete the Square 3 correct, Vertex Form 3 correctWednesday, November 6 - Vertex FormLO:    You will be able to graph a parabola (quickly) given its quadratic equation.Essential question: Where have we seen vertex form before?Homework:Complete the Vertex Form HandoutDeltaMath - Khan Academy InsertTo get credit, You will need to register on Khan Academy before completing your work. Here are the instructions for Registering on Khan AcademyMonday, November 4 - Graphing QuadraticsLO: You will be able to graph quadratics using parts of the quadratic formula.Essential Question: How much information does the quadratic formula contain?Homework:Graphing Parabolas HandoutDeltaMath - Axis of Symmetry & Vertex Algebraically, Nature of the Roots, Nature of the Roots from a Graph (Timed), Quadratic Formula, Solve by Factoring, Parabola GraphingDeltaMath - written assignment: Simplify Fractions with Addition (WISC online Learning)

Oct 28 - Nov 1

posted Oct 28, 2013, 12:35 PM by Jonathan Rothman   [ updated Nov 3, 2013, 2:04 PM ]

 Announcement:  Exam 3 is Friday!  Study with the Bonus Review Packet and earn up to 3 bonus points on the exam.Friday, November 1 - Exam 3 and Graphing QuadraticsLO:  YWBAT describe the graph of a quadratic by looking at its equation.Essential Question: If a quadratic has imaginary roots, what do we see on its graph?Homework:Complete Page 1 of Determining the Type and Number of Roots from a Graph HandoutReminder: Due Monday!  Regents Packet #2 - Instructions     Regents Packet Thursday, october 31  - Graphing Quadratics & Exam 3 ReviewLO: You will be able to graph quadratics using parts of the quadratic formula.Essential Question: How much information does the quadratic formula contain?Boards Up Review Questions Homework:  Bonus Review Packet (See Link Above)DeltaMath - Exam 3 Review materialGraphing Quadratics Note SheetWednesday, October 30 - The DiscriminantLO: You will be able to use the discriminant to determine the type of roots of a quadratic equation.  Essential Question:  Why are radicals so significant?Homework:Discriminant Discovery Activity and HomeworkDeltaMath - Find the Discriminant 3 correct, Nature of the Roots 2 correct, Discriminant Timed, Rationalize Imaginary Numbers 2 corrrect, Powers of i 2 correctTuesday, October 29 - The Quadratic FormulaLO:  YWBAT use the quadratic formula.Essential Question: When do we use the quadratic formula?MidClass Practice:  Factorable and Non-Factorable QuadraticsHomework:Quadratic Formula HandoutDeltaMath - Simplify Radical 3 correct, Quadratic Formula (guided) 3 correct, Quadratic Formula 4 correct, Add imaginary Numbers 2 correctMonday, october 28 - Solve QuadraticsLO:  You will be able to find the roots of a quadratic.Essential Question: What is the use of factoring?In-Class Handout - Graphing QuadraticsHomework:Solve Quadratics HandoutDeltaMath -  Solve Quadratics by Factoring 5 correct , Set Quadratics equal to zero (timed)

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