Ms. Arroyo
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Honors Precalculus
AP Calculus BC
Algebra 2
SEMESTER 1 NOTES
UNIT 1
Order of Operations and Combining Like Terms
Multi-Step Equations and Simple Word Problems
1.3 Solve Absolute Value Equations and Inequalities
2.1-2.2 Graphing Linear Equations and Inequalities
3.1 Solving 2 Variable Systems of Equations
4.1/4.2 Piecewise Functions
4.3 Graphs of Absolute Value Functions
5.1 Operations with Functions
5.2/5.3 Composition of Functions
6.1/6.2 Inverses
UNIT 2
7.2/7.3 Quadratics: Factoring and Solving by Factoring
7.4 More Uses of Factoring
8.1/8.2 "i" and Operations with Complex Numbers
8.3/9.1 Factoring w/ Complex #s, Taking Square Roots, & Completing the Square
(
Click here for notes from Day 2 of 8.3/9.1
)
9.2/9.3 Quadratic Formula and Solutions of Quadratics
11.1/11.2 Graphing Quadratics with Transformations
11.3 Vertex Form
12.1/12.2 Key Features of Quadratics and Word Problems
12.3/12.4 Graph in Standard Form and the Discriminant
13.1/13.2 Systems of Quadratic and Linear Equations
UNIT 3
14.2 (Some) Key Features of Polynomials
14.3 Even and Odd Functions
15.1/15.2 Add, Subtract, and Multiply Polynomials
15.3 Divide Polynomials
17.1 Factors of Polynomials
17.2 Fundamental Theorem of Algebra
18.1/18.2 Graphing Polynomials & the Rational Root Theorem
SEMESTER 2 NOTES
UNIT 4
19.1 Arithmetic Sequences
19.2 Arithmetic Series
19.3 Sigma Notation
20.1 Geometric Sequences
20.2/20.3 Geometric Series
21.1 Exponential Properties and Patterns
21.2 Exponential Functions
21.3/21.4(part1) Exponential Graphs (part1)
21.4(part2)/21.5 Exponential Graphs (part2)
22.2 The Common Logarithm Function
22.3/22.4 Properties of Logarithms
23.1 Logs of Other Bases
23.2/23.3 Change of Base and Graphing Logarithms
24.1/24.2 Solving Exponential Equations
24.2 Interest Formulas
24.3 Solving Logarithmic Equations
UNIT 5
25.1 Graphing Square Root Functions
25.2/25.3 Solve Square Root Equations and Graphing Cube
Root Functions
25.4 Solve Cube Root Equations and Graphing Calculators
26.2/26.3 Inverses (of Squares and Cubes)
27.1/27.2/28.2 Rational Word Probs and Transformations
27.3 Rational Graphs (Round 2)
27.3 Continued
29.1 Multiplying and Dividing Rational Expressions
29.2 Adding and Subtracting Rational Expressions
30.1 Solving Rational Equations and Word Problems
29.3 Graphing Rational Functions (Round 3)
UNIT 6
31.1/31.2 Arc Length and Radians
32.1 More Angles and Intro to Unit Circle
32.2 Special Triangles and the Unit Circle
Building the Unit Circle
32.2 (continued) More on the Unit Circle
33.1/33.2 Trigonometric Identities
34.1 Periodic Functions (and part of 34.2)
34.2 Sine Graph
34.3 Cosine Graph
34.4 Tangent Graph
35.1 Word Problems