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
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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
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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.
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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
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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.
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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.
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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.
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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
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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.
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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
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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
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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
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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