Ticonderoga Central School
Algebra 2 Common Core
Draft 4 – June 18, 2015
I.
Algebra Review (11 days)
A)
B)
C)
D)
E)
F)
G)
H)
I)
J)
II.
Trigonometry Beyond Right Triangles – Review from CC Geometry (8 days)
A)
B)
C)
D)
E)
F)
G)
H)
III.
Review FOIL, Factoring and Solving Quadratic Equations by Factoring (1)
Parabolas, Circles, Evaluate functions (Do Now - Simplify Radical) (1)
Evaluate Functions and Fractional Equations (1)
Completing the Square (include equation of circle) (1)
The Quadratic Formula (1)
More Work with the Quadratic Formula (1)
Solving Linear and Quadratic Systems (1)
Solving System of Three Equations with Three Unknowns (2)
Review (1)
Test (1)
Special Right Triangles (1)
Signs of Trigonometric Functions in the four Quadrants (1)
Reference Angles (1)
More Work with Reference Angles (1)
Radian Measure (1)
Arc Length (1)
Review (1)
Test (1)
Algebraic Fractions (10 days)
A)
B)
C)
D)
E)
F)
G)
H)
I)
J)
Review work with Algebraic Fractions from Algebra 1 (1)
Using the Negative One Technique to Simplify Fractions (1)
Combining Algebraic Fractions (1)
More Combining Algebraic Fractions (1)
Simplifying Complex Fractions (1)
More Simplifying Complex Fractions (1)
Solving Rational Equations (1)
More Solving Rational Equations (1)
Review (1)
Test (1)
Document1
Algebra 2 Topics
IV.
Solving Inequalities (6 days)
A)
B)
C)
D)
E)
F)
V.
Simplify Radicals (monomials as radicand) (1)
Fractional Exponents (1)
Radical Operations (1)
More Work with Radical Operations (1)
Rationalize Denominators (1)
Radical Equations (1)
More Work with Radical Equations (1)
Review (1)
Test (1)
Complex Numbers (7 days)
A)
B)
C)
D)
E)
F)
G)
VII.
Solving Quadratic Inequalities (1)
More Solving Quadratic Inequalities (1)
Rational Inequalities (1)
More Solving Rational Inequalities (1)
Review (1)
Test (1)
Work with Radicals (9 days)
A)
B)
C)
D)
E)
F)
G)
I)
H)
VI.
Page 2
Imaginary Numbers (1)
Complex Numbers (including the Complex Plane) (1)
Adding and Subtracting Complex Numbers (1)
Multiplying and Dividing Complex Numbers (1)
More Multiplying and Dividing Complex Numbers (1)
Review (1)
Test (1)
Functions and Their Graphs (12 days)
A)
B)
C)
F)
G)
C)
D)
E)
G)
H)
I)
J)
Review of Graphing Linear Equations (1)
Point-Slope form/Standard Form of Linear equations (1)
Piecewise Linear Functions (1)
Absolute Value Function and its Graph (1)
Average Rate of Change (1)
Inverse Relations and Functions (1)
More Inverse Relations and Functions (1)
Families of Functions (Transformations of functions, i.e. f(x + a) (1)
Operations with Functions (including evaluating compositions) (1)
More Operations with Functions (1)
Review (1)
Test (1)
Document1
Algebra 2 Topics
Page 3
VIII. Quadratic Functions (7 days)
A)
B)
C)
D)
E)
F)
G)
IX.
Polynomials (13 days)
A)
B)
C)
D)
E)
F)
G)
H)
I)
J)
K)
L)
X.
Quadratic Functions and Transformations (Vertex Form) (1)
Standard Form of a Quadratic Function (1)
Parabolas, Foci, and Directrix (1)
Find Equation of Parabola given 3 points (1)
Word Problems with Parabolas (1)
Review (1)
Test (1)
Operations with Polynomials (including division by monomial) (1)
Factoring by grouping (1)
Factoring sums or differences (1)
Solving Polynomial Equations by Factoring (1)
Dividing Polynomials (1)
Synthetic Division (1)
The Roots of a Polynomial Function (1)
The Remainder Theorem (1)
The Fundamental Theorem of Algebra (1)
The Graphs of Polynomial Functions (2)
* Terminology
* End Behavior
* Duplicity
* Maxima, Minima
* Recognize Even/Odd functions
Review (1)
Test (1)
Exponential Functions (10 days)
A)
B)
C)
D)
E)
F)
G)
H)
I)
J)
Exponents – Negative and Fractional (1)
More Work with Negative and Fractional Exponents including equations (1)
Graphs of Exponential Functions (1)
More Graphs of Exponential Functions (1)
Graphs of Radical Functions (1)
Exponential Equations (Get Common Base) (1)
More Solving Exponential Equations (1)
The number e (1)
Review (1)
Test (1)
Document1
Algebra 2 Topics
XI.
Logarithms (10 days)
A)
B)
C)
D)
E)
F)
G)
H)
I)
J)
XII.
Page 4
Writing Logarithms (1)
Logarithms as Inverse of Exponential Function (includes Graph of Log Function) (1)
Logarithmic Rules (1)
More work with Logarithmic Rules (1)
The Common (log) and Natural (ln) Logarithms (1)
Exponential Equations solved with Logarithms (1)
More work with Exponential Equations (1)
Problems involving Exponential Growth and Decay (1)
Review (1)
Test (1)
Trigonometric Graphs (12 days)
C)
D)
E)
F)
G)
H)
I)
J)
A)
B)
J)
K)
The Six Trigonometric Functions (1)
Graph of y = sin x and y = cos x (1)
The Amplitude and Period of Trigonometric Functions (1)
Graphing Using Amplitude and Period (1)
Graphing Using a vertical shift (1)
Graphing with a horizontal shift (may not include this) (1)
Practice with Graphing (1)
Modeling Cyclical Behavior – Word Problems (1)
Pythagorean Identities (– See Trigonometry Course coverage) (1)
More Pythagorean Identities (1)
Review (1)
Test (1)
XIII. Sequences and Series (9 days)
A)
B)
C)
D)
E)
F)
G)
G)
H)
Summations (1)
Recursive Sequence (1)
Arithmetic Sequence (1)
Arithmetic Series (1)
Geometric Sequence (1)
Geometric Series (1)
Geometric Series and Connection to Exponential Functions (1)
Review (1)
Test (1)
Document1
Algebra 2 Topics
Page 5
XIV. Introduction to Statistics (11 days)
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B)
C)
D)
E)
F)
G)
H)
I)
I)
J)
XV.
Types of Statistical Studies (1)
Measures of Central Tendency (1)
Measures of Spread – The standard deviation (1)
Working with Grouped Data (1)
More Work with Grouped Data (1)
Determining Sampling Variability (1)
Estimate Population Proportions from sample using margin of error (1)
Estimate Population Means from sample (NEW) (1)
Practice Estimating Population Parameters (1)
Review (1)
Test (1)
Probability (9 days)
A)
B)
C)
D)
E)
F)
G)
Introduction to Probability (1)
Probability of A or B (1)
Probability of Two or More Events (1)
Conditional Probability (NEW) (2)
Determining if two events are Independent (2)
Review (1)
Test (1)
XVI. The Normal Distribution and Inferences about Population Parameters (11 days)
A)
B)
C)
D)
E)
F)
The Normal Curve and the 68 – 95 – 99.7% Rule (NEW) (1)
Computing and Interpreting Z-Scores (1)
Using Z-Scores in Normal Calculations (3)
Drawing Conclusions in Experiments based on Simulations (4)
Review (1)
Test (1)
XVII. Review for Regents Examination in Algebra 2 (8 days)
A)
B)
Rapid Review (5)
Random Review (3)
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