April 29 - May 3, 2024

TRIGONOMETRY - LAW OF SINE & LAW OF COSINE

Week at a Glance   Resource  Walch,  Unit 4                       NC.M4.AF.2 Apply properties of trigonometry to solve problems. 

               NC.M4.AF.2.1 Translate trigonometric expressions using the reciprocal       and Pythagorean identities. 

              NC.M4.AF.2.2  Implement the Law of Sines and the Law of Cosine                               to solve problems.

             NC.M4.AF.2.3  Interpret key features(amplitude, period, phase shift,     vertical shifts, midline, domain, range) of models using sine                                     and cosine functions in terns of a content.


     Monday, April 29           Verifying Trigonometric Identities  (Blitzer Ch 6)

     Tuesday, April 30           Sum and Difference Formula  (Blitzer Ch 6)

Walch    Unit 4

      Wednesday,  May 1       Proving the Fundamental Pythagorean Identity

       Thursday, May 2          Proving the Law of Sine

       Friday,  May 3             Proving the Law of Cosine


_____________________________________________

APRIL 22 - APRIL 26

TRIGONOMETRY

Week at a Glance   Resource  Walch,  Unit 4

NC.M4.AF.2 Apply properties of trigonometry to solve problems.                                  NC.M4.AF.2.1 Translate trigonometric expressions using the reciprocal and Pythagorean identities. 

       NC.M4.AF.2.2  Implement the Law of Sines and the Law and the Law of Cosine                         to solve problems.


VOCABULARY

        altitude                       ambiguous case           arccosine              arcsine               included angle                     Law of Cosines          Law of Sines                         oblique triangle       Pythagorean identities                 Pythagorean Theorem    ratio identities                 reciprocal identities               vertex



      Monday, April 22             4.1   Proving the Fundamental Pythagorean Identity                   Scaffolded Practice 4.1   CWK            Guided Practice 4.1   HWK


     Tuesday, April 23                  Practice A   CWK       Practice B   HWK

                                                                                

     Wednesday, April 24                                     4.2   Proving the Law of Sines                       Scaffolded Practice 4.2   CWK               Guided Practice   4.2  HWK   

     Thursday, April 25             Practice A   CWK                     Practice B   HWK

               

       Friday, April 26                                          4.3    Proving the Law of Cosine

                Scaffolded Practice 4.2   CWK               Guided Practice   4.2  HWK   

_____________________________________________

APRIL 14 - APRIL 19, 2024

PARENTS:  Welcome back to the final five weeks of the 2023-2024 school year.  I am excited, for this will be my final school term.                  I am returning to RETIREMENT.

I have enjoyed my stay at NECP.  This senior class and I started together, their 10th grade year in Math III, my first year at NECP. Now, they are graduating and about to step-out into the real-world.  

My mission  for all of my students is to mathematically prepare them for college and the future.  To all of my Math III & Math IV students, it has been an honor to have been a part of your lives, and prayerfully my mission has been accomplished. 

THANK YOU. 


Some students were will be out of class for OSHA Certification this week.


TRIGONOMETRIC   FUNCTIONS     

Blitzer  ALGEBRA and TRIGONOMETRY  Chapter 5


Test #1 - Angles and Radian Measure, Measuring Angles Using Radian, Relationship between Degrees and Radians - 5.1


NC.M4.AF.2 Apply properties of trigonometry to solve problems.                                                        NC.M4.AF.2.1 Translate trigonometric expressions using the reciprocal and Pythagorean identities. 


NC.M4.AF.2 Apply properties of trigonometry to solve problems.                                                       NC.M4.AF.2.3 Interpret key features (amplitude, period, phase shift, vertical shifts,  midline, domain, range) of models using sine and cosine functions in terms of a context. 


CLASSWORK/HOMEWORK ASSIGNED AS NEEDED


April 15 - TSWBAT use right triangles to evaluate trigonometric functions.

                TSWBAT find the function values for 30, 45 and 60 degree angles.

April 16 -  TSWBAT recognize and use fundamental identities.

                 TSWBAT use equal cofunctions of complements.

April 17  -  TSWBAT evaluate trigonometric functions with a calculator.

                               April 18 - TEST SECTION 5.1

April 18  -   TSWBAT use right triangle trigonometry to solve applied problem.



_____________________________________________


March 12 - March 15, 2024

Student were out of class for last week for OSHA Certification


 

 Exponential & Logarithmic Functions

ALGEBRA and TRIGONOMETRY, Blitzer Chapter 4                

 

NC.M4.AF.3.1  Execute properties of logarithms to rewrite expressions and solve equations algebraically.

NC.M4.AF.3.2  Implement properties of logarithms to solve equations in contextual situations.

NC.M4.AF.3.3  Interpret key features of a logarithmic function using multiple representations.

NC.M4.AF.5.1  Construct regression models of linear, quadratic exponentials, logarithmic, & sinusoidal function of                                               bivariate data  using technology to model data and solve problems.

 

VOCABULARY -    Due     March 1, 2024

base        common logarithm       e     exponential function        logarithm        logarithmic function       natural logarithm       ln      regression       regression analysis              regression model       residual plot            residuals

 

CLASSWORK/HOMEWORK ASSIGNED AS NEEDED


Monday,  March 12    Logarithmic Functions

TSWBAT   Change from logarithmic to exponential form;  Change from exponential form to logarithmic                           form;  Evaluate logarithms.


Tuesday, March 13   Logarithmic Functions (continued)

TSWBAT    Use basic logarithmic properties;  Graph logarithmic functions;  Find the domain of a                                     logarithmic function; use common logarithms; Use natural logarithms.


Wednesday, March 14      Exponential and Logarithmic Functions Review


TEST -Thursday, March 15, 2024   Exponential and Logarithmic Functions

_______________________________________________________________________________________

March 4 - March 7, 2024

Parents - students have been assigned EDGENUITY - a self - paced math assistance program. The intent of this program is to help with comprehension of the subject matter of this course.  Completing each assigned unit will help with their final grade.  Many students are currently behind schedule and will not receive credit.  All students should have completed FUNCTIONS & MODELING and  LOGARITHMIC FUNCTIONS.


PROGRESS REPORT will be  issued on March 7. You will also receive an EDGENUITY PROGRESS REPORT.


Please encourage your child to complete the work.  Work on this nightly.


THE WEEK AT A GLANCE

 

 Exponential & Logarithmic Functions

ALGEBRA and TRIGONOMETRY, Blitzer Chapter 4                

 

NC.M4.AF.3.1  Execute properties of logarithms to rewrite expressions and solve equations algebraically.

NC.M4.AF.3.2  Implement properties of logarithms to solve equations in contextual situations.

NC.M4.AF.3.3  Interpret key features of a logarithmic function using multiple representations.

NC.M4.AF.5.1  Construct regression models of linear, quadratic exponentials, logarithmic, & sinusoidal function of                                               bivariate data  using technology to model data and solve problems.

 

VOCABULARY -    Due     March 1, 2024

base        common logarithm       e     exponential function        logarithm        logarithmic function       natural logarithm       ln      regression       regression analysis              regression model       residual plot            residuals

 

CLASSWORK/HOMEWORK ASSIGNED AS NEEDED


Monday,  March 4    Logarithmic Functions

TSWBAT   Change from logarithmic to exponential form;  Change from exponential form to logarithmic                           form;  Evaluate logarithms.


Tuesday, March 5   Logarithmic Functions (continued)

TSWBAT    Use basic logarithmic properties;  Graph logarithmic functions;  Find the domain of a                                     logarithmic function; use common logarithms; Use natural logarithms.


Wednesday, March 6      Exponential and Logarithmic Functions Review


TEST -Thursday, March 7, 2024   Exponential and Logarithmic Functions


Students - please, please, please study nightly.  


I am still available from 1:30 - 4:00 for additional help.

____________________________________________________________________________________

Feb. 26 - March 1, 2024

Parents - students have been assigned EDGENUITY - a self - paced math assistance program. The intent of this program is to help with comprehension of the subject matter of this course.  Completing each assigned unit will help with their final grade.  Many students are currently behind schedule and will not receive credit.  Please encourage your child to complete the work.  Work on this nightly.


THE WEEK AT A GLANCE

 

 Exponential & Logarithmic Functions

ALGEBRA and TRIGONOMETRY, Blitzer Chapter 4                

 

NC.M4.AF.3.1  Execute properties of logarithms to rewrite expressions and solve equations algebraically.

NC.M4.AF.3.2  Implement properties of logarithms to solve equations in contextual situations.

NC.M4.AF.3.3  Interpret key features of a logarithmic function using multiple representations.

NC.M4.AF.5.1  Construct regression models of linear, quadratic exponentials, logarithmic, & sinusoidal function of                                               bivariate data  using technology to model data and solve problems.

 

VOCABULARY -    Due     March 1, 2024

base        common logarithm       e     exponential function        logarithm        logarithmic function       natural logarithm       ln      regression       regression analysis              regression model       residual plot            residuals

 

CLASSWORK/HOMEWORK ASSIGNED AS NEEDED

Monday, Feb. 26     Exponential Functions

TSWBAT evaluate exponential functions;  Graph Exponential Functions; Evaluate Functions with base e;                       Use compound interest formulas.


Tuesday, Feb. 27   Logarithmic Functions

TSWBAT   Change from logarithmic to exponential form;  Change from exponential form to logarithmic                           form;  Evaluate logarithms.


Wednesday, Feb. 28   Logarithmic Functions (continued)

TSWBAT    Use basic logarithmic properties;  Graph logarithmic functions;  Find the domain of a                                     logarithmic function; use common logarithms; Use natural logarithms.


Thursday, Feb. 29   Exponential and Logarithmic Functions Review


TEST - Friday, March 1, 2024   Exponential and Logarithmic Functions


Students - please, please, please study nightly.  


I am still available from 1:30 - 4:00 for additional help.



______________________________________________________________________________________

February 19 -  February 23, 2024

Rational Functions     &    Logarithmic Functions


For this section  Math III Standards will be review for rational functions 

NC.M3.A-APR.6  Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form of                                                           q(x) =   r(x)/b(x),  where  a(x), b(x), q(x), and r(x)  are polynomials with the degree of  r(x) less than                                     the degree of b(x).  

NC.M3.A-APR.7  Understand the similarities between arithmetic with rational expressions and arithmetic with  rational numbers.                                                  a.  Add and subtract two rational expressions, a(x) and b(x), where the denominators of both a(x)                                     and b(x) are linear expressions. 

                                b.  Multiply and divide two rational expressions.

NC.M3.A-SSE.2   Use the structure of an expression to identify ways to write equivalent expressions. 

NC.M3.A-REI.2  Solve and interpret on variable rational equations arising from a context, and explain how                                                extraneous solutions may be produced.  

NC.M3.A-CED1    Create equations and inequalities in one variable that represent absolute value, polynomial,                                              exponential, and relational relationships and use them to  solve problems algebraically and  graphically. 

 REFERENCES:  CK-12, ALGEBRA and TRIGONOMETRY (Blitzer) P.4 Polynomials, P.5 Factoring Polynomials, DELTA  MATH, WAL

com

Monday , Feb. 19   -   Complex Rational Expressions  P-6 

TSWBAT simplify complex rational expressions.

This site will be completed by Tuesday, Feb. 20.

_______________________________________________________________________________________

FEBRUARY 12 - FEBRUARY 16


Teacher Workday - Feb. 16

End of 4th Marking Period - Feb. 13



 STANDARDS 

For this section  Math III Standards will be review for rational functions 6.3 -6.8

NC.M3.A-APR.6  Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form of q(x) =                                              r(x)/b(x),  where  a(x), b(x), q(x), and r(x)  are polynomials with the degree of  r(x) less than                                      the degree of b(x).  6.3

NC.M3.A-APR.7  Understand the similarities between arithmetic with rational expressions and arithmetic with                                          rational numbers.                                                                                                                                                                               a.  Add and subtract two rational expressions, a(x) and b(x), where the denominators of both a(x)                                     and b(x) are linear expressions. 6.6

                                b.  Multiply and divide two rational expressions. 6.4

NC.M3.A-SSE.2   Use the structure of an expression to identify ways to write equivalent expressions. 6.6

NC.M3.A-REI.2  Solve and interpret on variable rational equations arising from a context, and explain how                                                extraneous solutions may be produced.  6.7

NC.M3.A-CED1    Create equations and inequalities in one variable that represent absolute value, polynomial,                                              exponential, and relational relationships and use them to  solve problems algebraically and    graphically. 6.8

 REFERENCES:  CK-12, ALGEBRA and TRIGONOMETRY (Blitzer) P.4 Polynomials, P.5 Factoring Polynomials, DELTA  MATH, WALCH UNIT 6, FLIPPED MKATH

           VOCABULARY

  numerator        denominator            fraction                  extraneous solution (roots) of an equation             least common denominator               proportion                least common multiple of polynomial                    quadratic equation             quadratic expression                         quadratic formula                 ratio               rational equation                            rational expression                                         rational function                                rational   number            reciprocal     

 

  THE WEEK AT A GLANCE

CLASSWORK/HOMEWORK ASSIGNED AS NEEDED

MONDAY, Feb. 12 - Specify numbers that must excluded from the domain of a rational expression; simplify rational                 expression; 6.3  Structure of rational expressions.

TUESDAY, Feb. 13 - Multiply rational expressions; divide rational expressions; 6.4 Multiplying rational expressions.

WEDNESDAY, Feb. 14 - Dividing rational expressions;  6.5 Dividing rational expressions.

THURSDAY, Feb. 15 - Add and subtract rational expressions; 6.6  Adding and subtracting rational expressions.

Friday, Feb. 16  Teacher Work Day


__________________________________________________________________________

FEBRUARY 5 - FEBRUARY 9

RATIONAL FUNCTIONS

BLITZER, ALGEBRA 2 and TRIGONOMETRY CHAPTER 3

RATIONAL    FUNCTION and THEIR GRAPHS  3.5


TEST  - VECTORS    THURSDAY, FEB. 9


Parents please continue to encourage your child to  study every night and to continue doing EDGENUITY.


NC.M3.A-CED.2   (Graphing Rational Equations)  Create and graph                         equations in two variables to represent absolute                 value, polynomial, exponential and rational                 relationships between quantities.

MONDAY, FEB. 5  TSWBAT find the domain  of rational functions;  use arrow notation.


TUESDAY, FEB. 6     TSWBAT  identify vertical asymptotes; identify horizontal asymptotes.


WEDNESDAY, FEB. 7   TSWBAT  use transformation to graph rational functions; graph rational   functions.


THURSDAY, FEB. 8    VECTOR TEST

FRIDAY, FEB. 9   TSWBAT solve problems involving rational functions.



_______________________________________________________________________________________

January 29 - February 2, 2024


VECTORS  & RATIONAL  FUNCTIONS


STUDENTS ARE TO CONTINUE TO DO WORK  ON EDGENUITY FOR HOMEWORK, NIGHTLY.  



BLITZER ALGEBRA and TRIGONOMETRY   Chapter 7  7.6 & 7.7    TI-84 Calculators,                Delta Math           WALCH NC MATH 4  UNIT 8   8.8 & 8.9   DESMOS


 

NC CURRICULM STANDARDS

NC.M4.N.2.2  Execute procedures of addition, subtraction, and scalar multiplication on vectors. 

 



VOCABULARY  - DEFINITIONS ARE DUE ON FRIDAY - FEB. 2

 vector quantities,     vector    scalar quantities        scalar     directed line segment            initial point    terminal point     magnitude            equal vectors           scalar vector multiplication        scalar multiple      resultant vector      unit vector                   scalar component             horizontal component          vertical component    linear combination           unit vectors     component-wise addition     component-wise scalar multiplication               components of a vector                direction   head-to-tail method                 speed                velocity vector


CLASSWORK WILL BE ASSIGNED AS NEEDED

  

MONDAY- JANUARY 29, 2024

TSWB introduced to vectors and how to find the magnitude, direction and if two vectors are equal.


TUESDAY - JANUARY 30, 2024

TSWBAT multiplication, vector addition, and vector subtraction as geometric vectors.                   TSW learn how to represent vectors in the rectangular coordinate  system.


WEDNESDAY - JANUARY 31, 2024

TSW  perform operations with vectors in terms of i and j.   

TSWBAT find the unit vector in the direction of v.


THURSDAY - FEBRUARY 1, 2024

TSW  summarize and review concept discuss about vectors.


FRIDAY - FEBRUARY 2, 2024 

MAZE OR SCAVENGER HUNT ON VECTORS  



 


_______________________________________________________________________________________

January 22 - January 26, 2024


TEST - JAN 25     

COMPLEX NUMBERS & MATRICES


Resource:   Algebra and Trigonometry, Blitzer Chapter  2, Delta Math, Desmos


NC.M4.N.2  Apply properties and operations with matrices and vectors. 


VOCABULARY

conjugate                vector quantities     vector        scalar quantities        scalar     directed line segment            initial point    terminal point     magnitude            equal vectors           scalar vector multiplication        scalar multiple      resultant vector      unit vector                   scalar component             horizontal component          vertical component    linear combination           unit vectors     component-wise addition     component-wise scalar multiplication               components of a vector                direction   head-to-tail method                 speed                velocity vector 



Monday, Jan. 22  TSWBAT  multiply complex numbers; divide complex numbers;     perform operations  with square roots of negative     numbers. Classwork - checkpoints and practice                   Exercises 1.4.

Tuesday, Jan. 23    TSWB  introduced to vectors and how to find the magnitude,     direction and if two vectors are equal.


Wednesday - Jan. 24      TSW be introduced to vector multiplication, addition, and       subtraction; learn how to represent vector in the            rectangular coordinate system.


Thursday -  Jan. 25   Matrix and Complex Number Test


Friday - Jan. 26    Continuation of Wednesday Lesson

           

_____________________________________________      

January 16 - January 19, 2024

             Away this week will return on Jan. 22 2024


My students will be utilizing several resources to continue their mathematical journey.  

EDGENUITY, DELTA MATH, BLITZER - ALGEBRA and TRIGONOMETRY, THE ORGANIC CHEMISTRY TUTOR VIDEOS and I WILL BE ONLINE WITH THEM.     Adjustments will be made as needed.


Seniors this unit must be completed this week.   Parents please encourage your student to complete all work  - to work at school and at home.

YOUR MATRIX MAZE FROM FRIDAY IS DUE TODAY


COMPLEX NUMBERS

NC.M4.N.1.1 Execute procedures to add and subtract complex numbers. NC.M4.N.1.2 Execute procedures to multiply complex numbers. NC.M4.N.2.1 Execute procedures of addition, subtraction, multiplication,                  and scalar multiplication on matrices. 


TUESDAY, JAN. 16       PERFORMING OPERTIONS WITH COMPLEX NUMBERS

       TSWBAT  identify the field properties of complex numbers.                                                             TSWBAT perform addition, subtraction, multiplication, and division of complex numbers.      

Watch and take notes from the videos by the Organic Chemistry Tutor                                                  Simplifying Complex Numbers  (8:16)                                                       BLITZER (CHILI PEPPER)  ALGEBRA and TRIGONOMETRY  SECTIONS 1- 4               Do the Examples & Checkpoints   check your answers in the back    Do Exercise 1.4   2-20  evens                                   Turn-in  to be graded.       

DO EDGENUITY       UNIT 1 COMPLEX NUMBERS        PERFORMING OPERATION WITH COMPLEX NUMBERS


WEDNESDAY, JAN. 17   ADD AND SUBTRACT COMPLEX NUMBERS

       TSWBAT  find a sum or difference of complex numbers.                                                                TSWBAT  identify a geometric representation for the sum or difference of complex numbers.   Watch and take notes from the videos by the Organic Chemistry Tutor    

           Multiplying Complex Numbers (6:29)                         Dividing Complex Numbers (5:55)

DO DELTA MATH OPERATING WITH COMPLEX NUMBERS

DO EDGENUITY    UNIT 1 COMPLEX NUMBERS        ADD and SUBTRACT COMPLEX NUMBERS


THURSDAY, JAN. 18   MULTIPLY and DIVIDE COMPLEX NUMBERS

       TSWBAT  find  the product or quotient of complex numbers.                                                              TSWBAT  identify a geometric representation for the product or quotient of complex numbers.   Watch and take notes from the videos by the Organic Chemistry Tutor    

   Determine the conjugate and the product of each complex number. 8-2i, 6+3i, 5-4i and more (6:19)

DO EDGENUITY    UNIT 1 COMPLEX NUMBERS      MULTIPLY and DIVIDE COMPLEX NUMBERS


FRIDAY, JAN. 18       GRAPHING COMPLEX NUMBER  SYSTEM 

BLITZER (CHILI PEPPER)  ALGEBRA and TRIGONOMETRY  SECTIONS 1- 4                                     Do the Examples & Checkpoints   check your answers in the back    Do Exercise 1.4  22-44  evens                                   Turn-in  to be graded.       

VIDEO NOTES are due Jan.  22 


_______________________________________________

JANUARY 8 - JANUARY 12, 2024


UPCOMING EVENTS

Report Card Pick Up & Intent to Re-Enroll for the 2024/2025 School Year will be held on January 11, 2024 from 4:00PM-6:00PM. This event is for CURRENT students ONLY! Parents please make sure you have your password for your SchoolMint account, you will need this to complete the Intent for Re-Enrollment Form. This form will NOT be available until that date. Thank you!

La recogida de boletas de calificaciones y la intención de reinscribirse para el año escolar 2024/2025 se llevarán a cabo el 11 de enero de 2024 de 4:00 p. m. a 6:00 p. m. ¡Este evento es SOLO para estudiantes ACTUALES! Padres, asegúrese de tener la contraseña de su cuenta SchoolMint; la necesitará para completar el formulario de intención de      reinscripción. Este formulario NO estará disponible hasta esa fecha. ¡Gracias! 



     REFERENCES/RESOURCES

BLITZER  ALGEBRA AND TRIGONOMETRY    EDGENUITY   DELTA MATH    CK-12  MATH IV FLEXBOOK


NC CURRICULM STANDARD

NC.M4.N.2.1  Execute procedures of addition, subtraction, multiplication, and scalar multiplication on matrices.

VOCABULARY  - DEFINITIONS ARE DUE ON FRIDAY

row      column   scalar multiplication     dimensions of a matrix        entry     corresponding entry    matrix                   identity matrix      inverse (of a) matrix    scalar     square matrix   

 

MONDAY, JANUARY 8, 2024

Students will be able to describe matrices based on their dimensions; utilize matrix notation to describe a matrix and identify specific entries in a matrix; evaluate scalar multiplication for any given number.

TUESDAY, JANUARY 9, 2024 

Students will be able to add/subtract matrices;  solve for missing values in given matrices; perform multiple arithmetic operations on given matrices.

WEDNESDAY, JANUARY 10, 2024

Students will be able to multiply matrices;  determine if two matrices can be multiplied; evaluate the product of two given matrices.

THURSDAY, JANUARY 11, 2024

Students will be able to evaluate the determinant of 2x2 and 3x3 matrices; find the inverse of 2x2 and 3x3;  utilize matrix operations to solve systems of equations.

FRIDAY, JANUARY 12, 2024   (ABBREVIATED SCHEDULE)

Matrix Activity with TI-84

 

CLASSWORK/HOMEWORK - DAILY/TBA

 

TEST #1 - THURSDAY, JANUARY 18, 2024

VOCABULARY - FRIDAY, JANUARY 19, 2024