PHS 2015 -2016 School Calendar
August 17 / August 18 / August 19 / August 20 / August 21Teacher Work Day – NO SCHOOL
/ Convocation - NO SCHOOL
/ First Day for Students
-Intro to Course
-Book distribution
1.1Modeling and Equation Solving
Scavenger Hunt and begin notes /
1.1Modeling and Equation Solving / Finish 1.1
Begin 1.2
August 24 / August 25 / August 26 / August 27 / August 28
1.2 Functions and Their Properties
Objectives:
Students will be able to represent functions numerically, algebraically, and graphically, determine the domain and range for functions, and analyze function characteristics such as symmetry, extreme values and end behavior. / 1.3 Twelve Basic Functions
Objectives:
Students will be able to recognize graphs of twelve basic functions, determine domains of functions related to the twelve basic functions and combine the twelve basic functions in various ways to create new functions. / 1.3 Twelve Basic Functions
Objectives:
Students will be able to recognize graphs of twelve basic functions, determine domains of functions related to the twelve basic functions and combine the twelve basic functions in various ways to create new functions. / Review
Piecewise Functions on White Boards
Basic Function Quizzes / Review
Basic Function Quizzes
August 31 / September 1 / September 2 / September 3 / September 4
1.1-1.3 Test /
SLO PreAssessment / 1.4 Building Functions from Functions
SmartBoard Lesson and ICE
Objectives:
Students will be able to build new functions from basic functions by adding, subtracting, multiplying, dividing and composing functions. / 1.5 Parametric Relations and Inverses
Objectives:
Students will be able to define relations and functions parametrically and will be able to find inverses of relations and functions. / 1.6 Graphical Transformations
Objectives:
Students will be able to algebraically and graphically represent translations, reflections, stretches and shrinks of functions and parametric relations.
September 7 / September 8 / September 9 / September 10 / September 11
Labor Day – NO SCHOOL / 1.6 Graphical Transformations
Transformation WS
Objectives:
Students will be able to algebraically and graphically represent translations, reflections, stretches and shrinks of functions and parametric relations. / 1.7 Modeling with Functions
Objectives:
Students will be able to identify appropriate basic functions with which to model real-world problems and be able to produce specific functions to model data, formulas, graphs and verbal descriptions. / Review
Basic Function Quizzes / Review
Basic Function Quizzes
(Pep Schedule)
September 14 / September 15 / September 16 / September 17 / September 18
1.4-1.7 Test / 2.1 Linear and Quadratic Functions and Modeling
-SmartBoard-based lesson
Objectives:
Students will be able to recognize and graph linear and quadratic functions, and use these functions to model situations and solve problems. / 2.2 Power Functions with Modeling
-SmartBoard-based lesson
Objectives:
Students will be able to sketch power functions. / 2.3 Polynomial Functions of Higher Degree with Modeling
-SmartBoard-based lesson
Objectives:
Students will be able to graph polynomial functions, predict their end behavior, and find their real zeros using a grapher or algebraic method. / PD – NO SCHOOL
September 21 / September 22 / September 23 / September 24 / September 25
2.1-2.2 Quick Review on White Boards
2.3 WS
Review / Review /
2.1-2.3 Test
/ SUB
Factoring Review WS
PSAT Meeting / 2.4 Real Zeros of Polynomial Functions
-SmartBoard lesson
ICE
Objectives:
Students will be able to divide polynomials using long division or synthetic division; to apply the Remainder Theorem, Factor Theorem, and Rational Zeros Theorem; and find their upper and lower bounds for zeros of polynomials.
September 28 / September 29 / September 30 / October 1 / October 2
2.5 Complex Zeros and the Fundamental Theorem of Algebra
-SmartBoard-based lesson.
Objectives:
Students will be able to factor polynomials with real coefficients using factors with complex coefficients. / Review on Whiteboards / 2.4-2.5 Quiz / 2.6 Graphs of Rational Functions
SmartBoard Lesson
2.6 Partner ICE
Objectives:
Students will be able to describe the graphs of rational functions, identify horizontal and vertical asymptotes and predict the end behavior of rational functions. / 2.6 Graphs of Rational Functions
SmartBoard Lesson
Objectives:
Students will be able to describe the graphs of rational functions, identify horizontal and vertical asymptotes and predict the end behavior of rational functions.
October 5 / October 6 / October 7 / October 8 / October 9
2.7 Solving Equations in One Variable
SmartBoard Lesson
2.7 WS
Objectives:
Students will be able to solve equations involving fractions using both algebraic and graphical techniques and identify extraneous solutions. / 2.8 Solving Inequalities in One Variable
SmartBoard Lesson
Objectives:
Students will be able to solve inequalities involving polynomials and rational functions by using both algebraic and graphical techniques. / Review
Review IVT & Descartes Rule of Signs / Review / Ch 2 Test
October 12 / October 13 / October 14 / October 15 / October 16
Parent-Teacher Conferences
8 – 3:00
NO SCHOOL / 3.1 Exponential Functions
SmartBoard Lesson
HW: Book work
Objectives:
Students will be able to evaluate exponential expressions and identify and graph exponential functions. / PSAT (Mods 1-8)
Review Activity
Kahoot and WS about folding paper / 3.2 Exponential Modeling
SmartBoard Lesson (20 min)
M&M Activity (40 min) to model exponential growth and decay.
HW: Book work
Objectives:
-Students will be able to use exponential growth, decay and regression to model real-life problems.
Parent-Teacher Conferences
5 – 8 p.m.
/ 3.3 Logarithmic Functions and Their Graphs
Smartboard Lesson
Objectives:
-Students will be able to convert equations between logarithmic and exponential form, evaluate common and natural logarithms, and graph common and natural logarithms.
October 19 / October 20 / October 21 / October 22 / October 23
3.4 Properties of Logarithmic Functions
Smartboard Lesson & Kahoot (Log/Exp Review)
Objectives:
-Students will be able to apply the properties of logarithms to evaluate expressions and graph functions, and be able to reexpress data. / Review 3.4 -LOG SPEED DATING / 3.5 Equation Modeling and Solving
SmartBoard Lesson
Objectives:
-Students will be able to apply the properties of logarithms to solve exponential and logarithmic equations algebraically and solve application problems using these equations. / LOG BINGO
Parent-Teacher Conferences
5 – 8 p.m.
End of 1st Nine Weeks / Teacher Exchange Day – NO SCHOOL
October 26 / October 27 / October 28 / October 29 / October 30
3.6 Mathematics of Finance
SmartBoard Lesson
Objectives:
-Students will be able to use exponential functions and equations to solve business and finance applications related to compound interest and annuities.
/ Review / Review / Ch 3 Test / 4.1 Angles and Their Measures
SmartBoard Lesson
Objectives:
Students will be able to convert between radians and degrees, find arc lengths, convert to nautical miles, and solve problems involving angular speed.
November 2 / November 3 / November 4 / November 5 / November 6
4.2 Trigonometric Functions and Acute Angles
Objectives:
Students will be able to define the six trig functions using the lengths of the sides of a right triangle. / 4.3 Trig Extended: The Circular Functions
SmartBoard Lesson
4.2 Review WS
Objectives:
Students will be able to solve problems involving the trigonometric functions of real numbers and the properties of the sineand cosine periodic functions.
/ 4.2 Quiz (1 mod)
Trig Puzzle
Objectives:
Students will be able to define the six trig functions using the lengths of the sides of a right triangle. / 4.1-4.3 Review
/ 4.1-4.3 Review
November 9 / November 10 / November 11 / November 12 / November 13
4.1-4.3 Quiz
Objectives:
All from 4.1-4.3 / 4.4 Graphs of Sine and Cosine: Sinusoids
Objectives:
Students will be able to generate the graphs of sine and cosine functions and explore various transformations of these graphs. / 4.4 Review Worksheet
Mods 1-3 (7:20-8:05) / 4.5 Graphs of Tangent, Cotangent, Secant and Cosecant
Objectives:
Students will be able to generate the graphs for tangent, cotangent, secant, and cosecant functions and explore various transformations of these graphs. / 4.6 Graphs of Composite Trigonometric Functions
Review – Matching Activity
(Make a new one)
Objectives:
Students will be able to graph sums, differences and other combinations of trigonometric and algebraic functions.
November 16 / November 17 / November 18 / November 19 / November 20
Objectives:
All from 4.4-4.6 / Review – Problem Piles
Objectives:
All from 4.4-4.6 / 4.4-4.6 Quiz / SUB / 4.7 Inverse Trigonometric Functions
Objectives:
Students will be able to relate the concept of inverse function to trigonometric functions.
November 23 / November 24 / November 25 / November 26 / November 27
4.8 Solving Problems with Trigonometry
WS
Objectives:
Students will be able to apply the concepts of trigonometry to solve real-world problems. / Review / Thanksgiving Break – NO SCHOOL / Thanksgiving Break – NO SCHOOL / Thanksgiving Break – NO SCHOOL
November 30 / December 1 / December 2 / December 3 / December 4
Thanksgiving Break – NO SCHOOL / 4.8 Solving Problems with Trigonometry
Notes
-Distribute Ch 4 Review
Objectives:
Students will be able to apply the concepts of trigonometry to solve real-world problems.
/ Students will work on the Ch 4 Review. Answer key is posted online and a hard copy is in the binder. / Ch 4 Test / No School
December 7 / December 8 / December 9 / December 10 / December 11
5.1 Fundamental Identities Notes
Objectives:
Students will be able to use fundamental identities to simplify trigonometric expressions and solve trigonometric equations.
/ 5.1 Fundamental Identities Notes
Objectives:
Students will be able to use fundamental identities to simplify trigonometric expressions and solve trigonometric equations.
/ 5.2 Proving Trigonometric Identities
Objectives:
Students will be able to decide whether an equation is an identity and to confirm identities analytically.
/ 5.1 Memorization Quiz
When finished, students will work on the 5.1-5.2 Review. / Review – Problem Piles
(In plastic drawers labeled Honors Precalc near filing cabinet OR in binder. Students will work out proofs of varying difficulty.)
December 14 / December 15 / December 16 / December 17 / December 18
5.1-5.2 Quiz
/ 5.3 Sum and Difference Identities
Objectives:
Students will be able to apply the identities for sine, cosine and tangent of a difference or sum. / 5.4 Multiple-Angle Identities
Distribute 5.3-5.4 Review
Objectives:
Students will be able to apply the double-angle identities, power-reducing identities, and half-angle identities. / Work Day and Review
Objectives:
All from 5.3-5.4 / 5.3-5.4 Quiz
Objectives:
All from 5.3-5.4
December 21 / December 22 / December 23 / December 24 / December 25
Christmas Break – NO SCHOOL / Christmas Break – NO SCHOOL / Christmas Break – NO SCHOOL / Christmas Break – NO SCHOOL / Christmas Break – NO SCHOOL
December 28 / December 29 / December 30 / December 31 / January 1
Christmas Break – NO SCHOOL / Christmas Break – NO SCHOOL / Christmas Break – NO SCHOOL / Christmas Break – NO SCHOOL / Christmas Break – NO SCHOOL
January 4 / January 5 / January 6 / January 7 / January 8
Review for Midterm
Students will work on the midterm review. Additional practice is in the electronic Midterm folder.
/ Review for Midterm / Review for Midterm / Review for Midterm -
Review dominoes in filing cabinet / Midterm Exam
January 11 / January 12 / January 13 / January 14 / January 15
5.5 The Law of Sines Notes
SmartBoard Lesson
Objectives:
Students will be able to understand the proof of the Law of Sines and use computational applications of the Law of Sines to solve a variety of problems.
/ 5.6 The Law of Cosines Notes
SmartBoard Lesson
Objectives:
Students will be able to apply the Law of Cosines to solve acute and obtuse triangles and to determine the area of a triangle in terms of the measures of the sides and the angles. /
Review
Law of Cosines – Iluminations WS / 5.5-5.6 Quiz
Distribute Ch 5 Review for students to work on when finished with the quiz. / PD – NO SCHOOL
End of 2nd Nine Weeks
January 18 / January 19 / January 20 / January 21 / January 22
MLK Day – NO SCHOOL
/ Review / Review / Review-Victim at the Board / Ch 5 Test
January 25 / January 26 / January 27 / January 28 / January 29
6.1 Vectors in the Plane
SmartBoard Lesson
Objectives:
Students will be able to apply the arithmetic of vectors and use vectors to solve real-world problems.
/ 6.2 Dot Product of Vectors
SmartBoard Lesson
Objectives:
Students will be able to calculate the dot product and projections of vectors. / Finish 6.2 Notes
/ Review / 6.1-6.2 Vector Quiz
February 1 / February 2 / February 3 / February 4 / February 5
6.3 Parametric Equations and Motion
SmartBoard Lesson
Objectives:
Students will be able to define parametric equations, graph curves parametrically, and solve application problems using parametric equations. / Parametric Curve Matching Activity
Finish 6.3 Notes / 6.3 Group Activity – Exploring Parametric Equations and Curves / 6.4 Polar Coordinates
SmartBoard Lesson
Objectives:
Students will be able to convert points and equations from polar coordinates to rectangular coordinates and vice verse. / Rose Curves Scavenger Hunt
6.5 Graphs of Polar Coordinates
SmartBoard Lesson
Objectives:
Students will be able to graph polar equations and determine the maximum r-value and the symmetry of a graph.
February 8 / February 9 / February 10 / February 11 / February 12
Review / Review
Parent-Teacher Conferences
5 –8 p.m. / 6.3-6.5 Test / 6.6 De Moivre's Theorem and nth Roots
Objectives:
Students will be able to represent complex numbers in the complex plane and write them in trigonometric form, and use trigonometric form to simplify some algebraic operations with complex numbers.
Parent-Teacher Conferences
5 –8 p.m. / Finish 6.6
February 15 / February 16 / February 17 / February 18 / February 19
Teacher Exchange Day – NO SCHOOL / SNOW DAY / Review / Review / Ch 6 Test
February 22 / February 23 / February 24 / February 25 / February 26
7.1 Solving Systems of Two Equations
7.2 Matrix Algebra
Stations – Notes
(Answers on the back of each ws)
Objectives:
Students will be able to solve systems of equations graphically and algebraically. Students will be able to find sums, differences, products and inverses of matrices.
SUB - SICK /
SUB - SICK / Review / 7.3 Multivariate Linear Systems and Row Operations
SmartBoard Notes
Objectives:
Students will be able to solve systems using Gaussian elimination, row echelon form, reduced row echelon form and inverse matrices.
/
7.3 Multivariate Linear Systems and Row Operations
SmartBoard Notes
Objectives:
Students will be able to solve systems using Gaussian elimination, row echelon form, reduced row echelon form and inverse matrices.
February 29 / March 1 / March 2 / March 3 / March 4
7.4 Partial Fractions
SmartBoard Lesson
Objectives:
Students will be able to decompose rational expressions into partial fractions. / 7.5 Systems of Inequalities in Two Variables
SmartBoard Lesson
ICE (Partner)
Objectives:
Students will be able to solve linear programming problems and systems of inequalities using graphical methods. / Review / Review / Chapter 7 Test
March 7 / March 8 / March 9 / March 10 / March 11
9.1 Basic Combinatorics
SmartBoard Lesson
Objectives:
Students will be able to use the multiplication principle of counting, permutations, or combinations to count the number of ways a task can be done. /
9.2 Binomial Theorem
SmartBoard Lesson
Objectives:
Students will be able to expand a power of a binomial using the binomial theorem or Pascal's Triangle. They will also find the coefficient of a given term of a binomial expansion.
/ 9.3 Probability
Objectives:
Students will be able to identify a sample space and calculate probabilities and conditional probabilities in sample spaces with equally likely or unlikely outcomes. / Review / Review
March 14 / March 15 / March 16 / March 17 / March 18
PI DAY Celebration / 9.1-9.3 Quiz / 9.4 Sequences
SmartBoard Lesson
Fibonacci Videos
Objectives:
Students will be able to express arithmetic and geometric sequences explicitly and recursively, and also find the limits of convergent sequences / 9.5 Series
Objectives:
Students will be able to use sigma notation and find finite sums of terms in arithmetic and geometric sequences, and also find sums of convergent geometric series. / Review
End of 3rd Nine Weeks
March 21 / March 22 / March 23 / March 24 / March 25
SPRING BREAK – NO SCHOOL / SPRING BREAK – NO SCHOOL / SPRING BREAK – NO SCHOOL / SPRING BREAK – NO SCHOOL / SPRING BREAK – NO SCHOOL
March 28 / March 29 / March 30 / March 31 / April 1
Review / 9.4-9.5 Quiz
/ 10.3 Limits
Objectives:
Students will be able to use the properties of limits and evaluate one-sided limits, two-sided limits, and limits involving infinity. / Finish 10.3
/ Review
April 4 / April 5 / April 6 / April 7 / April 8
10.3 Quiz
April 11 / April 12 / April 13 / April 14 / April 15
SLO / SLO
April 18 / April 19 / April 20 / April 21 / April 22
April 25 / April 26 / April 27 / April 28 / April 29
May 2 / May 3 / May 4 / May 5 / May 6
May 9 / May 10 / May 11 / May 12 / May 13
May 16 / May 17 / May 18 / May 19 / May 20
May 23 / May 24 / May 25 / May 26 / May 27
Last Day for Students
End of 4th Nine Weeks
May 30 / May 31
Memorial Day – NO SCHOOL / Last Day for Teachers