ANALYSIS OF FUNCTIONS

SYLLABUS: 1stSEMESTERINSTRUCTOR: Mr. Duguay

COURSE DESCRIPTION

The purpose of this course is to enable students to develop advanced mathematics knowledge and skills in algebra and trigonometry using functions as a unifying theme.

COURSE OVERVIEW: QUARTER 1 (47 days)

CHAPTER(S) / TOPICS COVERED / SUNSHINE
STANDARDS
Week 1
Aug. 16th –
Aug. 19th / Unit 1: Functions and Graphs / Domain of a function
Finding Domain in interval notation
Deciding if a relation is a function. / MAFS.912.
F-IF.3.7
F-BF.1.1
F-BF.2.4
Week 2
Aug. 22th –
Aug. 26th / Unit 1:
Functions and Graphs / Domain of a function and interval notation.
Equation of a Line in Various Forms
Finding Slope.
Parallel and Perpendicular Lines. / MAFS.912.
F-IF.3.7
F-BF.1.1
F-BF.2.4
Week 3
Aug. 29th-
Sept. 2nd / Unit 1:
Functions and Graphs / Assessment on Domain
Parent Functions and Their Graphs
Transformations of parent functions Domain and Range of a Function Determining if a Function is Increasing, decreasing or Constant / MAFS.912.
F-IF.3.7
F-BF.1.1
F-BF.2.4
Weeks 4
Sept. 5th–
Sept. 9th
Labor Day9/5 / Unit 1:
Functions and Graphs / Arithmetic operations of combining functions.
Composition of two or more functions / MAFS.912.
F-IF.3.8a
N-CN.1.3
N-CN.2.5
F- IF.3.7a
N-CN.3.9
Week 5
Sept. 12th-
Sept.16th / Unit 2:Quadratic Functions and Complex Numbers / Quadratic Functions:
Graph a quadratic; find max and min values.
Find the axis of symmetry
Standard form, Vertex form and factored form of a quadratic
Graph Transformations; Effects on Domain and Range / MAFS.912.
F-IF.3.8a
N-CN.1.3
N-CN.2.5
F- IF.3.7a
N-CN.3.9
Week 6
Sept. 19th –
Sept. 23rd
9/19 Student Holiday / Unit 2:Quadratic Functions and Complex Numbers / Graphing a Quadratic Function: Find the Axis of symmetry.
Finding the zeros of a Quadratic by
Factoring. / MAFS.912.
F-IF.3.8a
N-CN.1.3
N-CN.2.5
F- IF.3.7a
N-CN.3.9
Week 7
Sept. 26th–
Sept. 30th / Unit 2 and Unit 3
Quadratic Functions and Complex Numbers Unit 3:
Polynomial Functions / Determine the conjugate of a complex number.
Find the moduli and quotient of complex numbers, Add, subtract, multiple, and divideComplex numbers. / MAFS.912.
F-IF.3.7ca
F-IF.3.8a
N-CN.1.3
A-APR.2.2
Week 8
Oct. 3rd –
Oct. 7th / Unit 3:
Polynomial Functions / Define and determine the degree
Of a polynomial.
Graph a poly.
Determine the intercepts and multiplicity of a poly. / MAFS.912.
F-IF.3.7ca
F-IF.3.8a
N-CN.2.5
N-CN.1.3
Week 9
Oct. 10th –
Oct. 14th / Unit 3:
Polynomial Functions / Determine the end behavior of a polynomial.
Divide a polynomial using long division and synthetic division / MAFS.912.
F-IF.3.7ca
F-IF.3.8a
N-CN.3.9
A-APR.2.2
Weeks 10
Oct. 17th
-
Oct. 21th
Qtr ends 10/20
10/21 Student Holiday / Unit 3:
Polynomial Functions / Determine the end behavior of a polynomial.
Divide a polynomial using long division and synthetic division
Solve a quadratic equations in factored form including complex solutions / MA 912 T2
A-APR.2.2

COURSE OVERVIEW: QUARTER 2 (38 days)

DATE(S) / CHAPTER(S) / TOPICS COVERED / SUNSHINE
STANDARDS
Weeks 1
Oct. 24th –
Oct. 29th / Unit 4
Rational Expressions and Functions / Define and simplify rational expressions.
Operations of rational functions
:addition, subtraction, multiplication, and division. / MAFS.912.
I-IF.3.7d
A-A.APR4.7
Weeks 2
Oct. 31st –
Nov. 4th / Unit 4
Rational Expressions and Functions / Graph a rational function.
Identify zeros and asymptotes Determine the horizontal and vertical
asymptotes of a rational Function
Sketch a graph of a rational Function / MAFS.912.
I-IF.3.7d
Weeks 3
Nov. 7th –
Nov. 11th
11/11 Veterans Day / Unit 4
Rational Expressions and Functions / Division of Polynomials using Long division and Synthetic Division
Apply the remainder theorem to determine if a divisor is a factor of a polynomial / MAA 141
MAA 143
MAA 243
Week 4
Nov.14th –
Nov. 18th / Unit 5
Exponential and Logarithmic Functions / Use the properties of logarithms to simplify expressions.
Characteristics of the graphs of exponential and logarithmic functions
Solve / MAFS.912.
I-IF.3.7d
Week 5
Nov.21st–
Nov. 25th
Thanksgiving Break Nov.23rd – 27th / Unit 5
Exponential and Logarithmic Functions / Determine the domain, range and asymptote of an exponential and logarithmic function
Distinguish between an exponential growth and decay model. / MAA 341
MAA 342
Week 6
Nov. 28th –
Dec. 2nd / Unit 5:
Exponential and Logarithmic Functions / Use change of base to evaluate logarithmic expressions / MAA 341
MAA 342
Week 7
Dec. 5th –
Dec. 9th / Unit 5:
Exponential and Logarithmic Functions / Solve an exponential Equation
Convert from exponential to logarithmic form.
Use properties of Logarithms / MAA 341
MAA 342
Week 8
Dec. 12th –
Dec. 16th / EOC review/exam
Week 9
Dec. 19th –
Dec. 20th / EOC review/exam

TEXTBOOK TITLE:

Algebra and Trigonometry by Young 2nd ed.

2016