# Algebra II

## Part A

### 1. Expressions and Equations

Lesson Topic CCSS Occupation
Lesson 1.1
Solving Equations in One Variable
A.SSE.1, A.CED.1, A.REI.1, A.REI.3
Multiple
Lesson 1.2
Isolating a Variable
A.CED.1, A.CED.4, A.REI.1
Multiple
Lesson 1.3
Writing Equations
A.CED.1, A.CED.4
Multiple
Lesson 1.4
Absolute Value
A.CED.1, A.REI.3
Multiple
Lesson 1.5
Applying Absolute Value
A.CED.1, A.REI.3
Instructional Coordinators
Lesson 1.6
N.RN.1, N.RN.2, F.IF.7b
Multiple
Lesson 1.7
N.RN.1, N.RN.2, F.IF.7b
Environmental Scientists and Specialists
Lesson 1.8
Scientific Notation
N.RN.1
Multiple

### 2. Linear Functions and Graphs

Lesson Topic CCSS Occupation
Lesson 2.1
Function Notation
F.IF.1, F.IF.2, F.BF.4b
Multiple
Lesson 2.2
Functions, Relations, and Inverses
A.REI.5, F.BF.4c, F.BF.4d
Multiple
Lesson 2.3
Slopes, Intercepts, and Linear Graphs
A.CED.2, A.REI.5, A.REI.10
Multiple
Lesson 2.4
Applying Slope, Intercepts, and Linear Graphs
A.CED.2, A.REI.5, A.REI.10
Secondary School Teachers
Lesson 2.5
Writing Linear Equations
A.CED.1, A.REI.3, A.REI.5
Multiple
Lesson 2.6
Applying Wring Linear Equations
A.CED.1, A.REI.3, A.REI.5
Civil Engineering Technicians
Lesson 2.7
Parallel & Perpendicular Lines
A.REI.5, G.CO.9
Multiple
Lesson 2.8
Applying Parallel & Perpendicular Lines
A.REI.5, G.CO.9
Producers
Lesson 2.9
Inequalities and Their Graphs
A.REI.5
Multiple
Lesson 2.10
Compound Inequalities
A.REI.5
Multiple

### 3. Systems of Linear Equations

Lesson Topic CCSS Occupation
Lesson 3.1
Solving Linear Systems of Two Equations
A.SSE.3, A.REI.5, A.REI.6
Multiple
Lesson 3.2
Solving Linear Systems of Three Equations
A.REI.7
Multiple
Lesson 3.3
Applying Solving Linear Systems of Three Equations
A.REI.7
Information Security Analysts
Lesson 3.4
Using Systems of Linear Equations
A.REI.8
Multiple
Lesson 3.5
Systems of Two Linear Inequalities
A.REI.12
Multiple
Lesson 3.6
Applying Systems of Two Linear Inequalities
A.REI.12
Computer Network Specialists

### 4. Matrices

Lesson Topic CCSS Occupation
Lesson 4.1
Matrices and Systems of Equations
N.VM.5, N.VM.7, A.REI.8
Multiple
Lesson 4.2
Matrix Operations
N.VM.7, N.VM.8
Multiple
Lesson 4.3
Matrix Multiplication
N.VM.8, N.VM.9, N.VM.10
Multiple
Lesson 4.4
Applying Matrix Multiplication
N.VM.8, N.VM.9, N.VM.10
Bioinformatics Scientists
Lesson 4.5
Determinants and Cramer’s Rule
N.VM.11, N.VM.12
Multiple
Lesson 4.6
Inverse Matrices
N.VM.12, A.REI.9, F.BF.4c
Multiple
Lesson 4.7
Applying Inverse Matrices
N.VM.12, A.REI.9, F.BF.4c
Aircraft Mechanics and Service Technicians

Lesson Topic CCSS Occupation
Lesson 5.1
Graphing in Vertex Form
F.IF.8
Multiple
Lesson 5.2
Graphing in Standard Form
F.IF.8
Multiple
Lesson 5.3
Applying Graphing in Standard Form
F.IF.8
Tool and Die Makers
Lesson 5.4
Finding Zeros Using the Quadratic Formula
A.APR.2
Multiple
Lesson 5.5
Applying Finding Zeros Using the Quadratic Formula
A.APR.2
Bioinformatics Scientists
Lesson 5.6
F.LE.4
Multiple
Lesson 5.7
Solving Quadratic Functions Using Square Roots
F.LE.4, N.CN.9
Multiple
Lesson 5.8
Applying Solving Quadratic Functions Using Square Roots
F.LE.4, N.CN.9
Airfield Operations Specialists

### 6. Absolute Value and Piecewise Functions

Lesson Topic CCSS Occupation
Lesson 6.1
Graphing Absolute Value Functions
A.REI.5, F.IF.7b
Multiple
Lesson 6.2
Composite Functions
F.BF.1c
Multiple
Lesson 6.3
Applying Composite Functions
F.BF.1c
Audio and Video Technicians
Lesson 6.4
Graphing Absolute Value Inequalities
F.IF.7b
Multiple
Lesson 6.5
Applying Graphing Absolute Value Inequalities
F.IF.7b
Power Plant Operators
Lesson 6.6
Piecewise Function Notation
F.IF.1, F.IF.7b
Multiple
Lesson 6.7
Graphing Piecewise Functions
F.IF.1, F.IF.7b
Multiple
Lesson 6.8
Applying Piecewise Functions
F.IF.1, F.IF.7b
Film and Video Editors

### 7. Polynomial Functions

Lesson Topic CCSS Occupation
Lesson 7.1
Properties of Exponents
N.RN.1, N.RN.2
Multiple
Lesson 7.2
Long Division, the Factor Theorem, and the Remainder Theorem
A.APR.2, A.APR.3, A.APR.4, A.APR.6
Multiple
Lesson 7.3
Synthetic Division
A.APR.2, A.APR.6
Multiple
Lesson 7.4
Applying Polynomial Division
A.APR.2, A.APR.6
Chemical Engineers
Lesson 7.5
Solving Polynomial Equations by Factoring
A.APR.2, A.APR.3, A.APR.4, A.APR.6
Multiple
Lesson 7.6
Graphs of Polynomial Functions
A.REI.5, F.IF.7, F.IF.7c
Multiple
Lesson 7.7
Applying Graphs of Polynomial Functions
A.REI.5, F.IF.7, F.IF.7c
Electrical Engineers

### 8. Radical Functions and Rational Exponents

Lesson Topic CCSS Occupation
Lesson 8.1
Roots
F.IF.7b
Multiple
Lesson 8.2
Properties of Rational Exponents
N.RN.1, N.RN.2
Multiple
Lesson 8.3
Composite Functions
F.BF.1c, F.BF.4b
Multiple
Lesson 8.4
Applying Composite Functions
F.BF.1c, F.BF.4b
Materials Engineer
Lesson 8.5
F.IF.7b, F.IF.7e, F.IF.8
Multiple
Lesson 8.6
A.REI.2, A.CED.1
Multiple
Lesson 8.7
A.REI.2, A.CED.1
Electrical and Electronics Drafters

### 9. Discrete Math and Combinatorics

Lesson Topic CCSS Occupation
Lesson 9.1
Counting, Permutations, and Combinations
S.CP.9, S.MD.2, S.MD.3, S.MD.5b
Multiple
Lesson 9.2
Probability and Compound Probability
S.IC.6, S.MD.1, S.MD.2, S.MD.3
Multiple
Lesson 9.3
Discrete Probability
S.MD.2, S.MD.3, S.MD.4
Multiple
Lesson 9.4
Applying Discrete Probability
S.MD.2, S.MD.3, S.MD.4
Heavy and Tractor-Trailor Truck Drivers
Lesson 9.5
The Traveling Salesperson Problem
S.MD.4, S.MD.5, S.MD.5a, S.MD.5b
Multiple
Lesson 9.6
Optimal Solutions
S.IC.6, S.MD.4, S.MD.5, S.MD.5a, S.MD.5b
Multiple

### 10. Data

Lesson Topic CCSS Occupation
Lesson 10.1
Measures of Central Tendency
S.IC.1, S.IC.4, S.ID.4
Multiple
Lesson 10.2
Measures of Variation
S.IC.2, S.IC.4, S.IC.5, S.ID.4
Multiple
Lesson 10.3
The Normal Distribution
S.ID.4
Multiple
Lesson 10.4
Applying the Normal Distribution
S.ID.4
Nurse Practitioners
Lesson 10.5
Randomness and Bias
S.IC.1, S.IC.2, S.MD.2, S.MD.3
Multiple
Lesson 10.6
Applying Randomness and Bias
S.IC.1, S.IC.2, S.MD.2, S.MD.3
Lodging Managers
Lesson 10.7
Hypotheses
S.IC.3, S.IC.5, S.IC.6
Multiple
Lesson 10.8
Applying Hypotheses
S.IC.3, S.IC.5, S.IC.6
Accountants and Auditors

### 11. Logic

Lesson Topic CCSS Occupation
Lesson 11.1
Critical Thinking
Problem Solving Reasoning and Proof
Multiple
Lesson 11.2
Applying Critical Thinking
Problem Solving Reasoning and Proof
Educational, Guidance and Career Counselors and Advisors
Lesson 11.3
Sudoku and the Art of Deduction
Problem Solving Connections
Multiple
Lesson 11.4
Logic Puzzles- Applying Deduction
Problem Solving Reasoning and Proof
Multiple
Lesson 11.5
Cryptography
Problem Solving Representation
Multiple
Lesson 11.6
Applying Cryptography
Problem Solving Representation
Natural Sciences Managers
Lesson 11.7
RSA Encryption
Problem Solving Representation
Multiple

## Part B

### 1. Rational Functions

Lesson Topic CCSS Occupation
Lesson 1.1
Multiplying and Dividing Rational Expressions
A.APR.6, A.APR.7
Multiple
Lesson 1.2
A.APR.6, A.APR.7
Multiple
Lesson 1.3
Solving Rational Equations
A.APR.7, A.REI.2
Multiple
Lesson 1.4
Applying Solving Rational Equations
A.APR.7, A.REI.2
Respiratory Therapists
Lesson 1.5
Using Polynomial Division to Solve Rational Equations
A.CED.1
Multiple
Lesson 1.6
Applying Using Polynomial Division to Solve Rational Equations
A.CED.1
Budget Analysts
Lesson 1.7
A.APR.7, A.REI.5, A.REI.11, F.IF.7d, F.IF.8
Multiple

### 2. Conic Sections

Lesson Topic CCSS Occupation
Lesson 2.1
Parabolas
F.IF.7c, F.IF.7d, F.IF.8, G.GPE.3
Multiple
Lesson 2.2
Circles
F.IF.8, G.GPE.3
Multiple
Lesson 2.3
Ellipses
F.IF.8, G.GPE.3
Mulitple
Lesson 2.4
Hyperbolas
F.IF.8, G.GPE.3
Multiple
Lesson 2.5
Applying Hyperbolas
F.IF.8, G.GPE.3
Solar Photovoltaic Installers
Lesson 2.6
Translating Conics
A.REI.7, G.GPE.3
Multiple
Lesson 2.7
Applying Translating Conics
A.REI.7, G.GPE.3
Museum Technicians and Conservators

### 3. Complex Numbers

Lesson Topic CCSS Occupation
Lesson 3.1
Properties of Complex Numbers
N.CN.1, N.CN.2, N.CN.9
Multiple
Lesson 3.2
Operations with Complex Numbers
N.CN.3, N.CN.9
Multiple
Lesson 3.3
Applying Operations with Complex Numbers
N.CN.3, N.CN.9
Mathematicians
Lesson 3.4
Completing the Square Using Complex Numbers
N.CN.7, N.CN.8
Multiple
Lesson 3.5
Graphing in the Complex Plane
N.CN.4, N.CN.5
Multiple
Lesson 3.6
Distance and Midpoint
N.CN.6
Multiple
Lesson 3.7
Applying Distance and Midpoint
N.CN.6
Electricians

### 4. Exponential and Logarithmic Functions

Lesson Topic CCSS Occupation
Lesson 4.1
Exponential Growth and Decay
F.LE.2, F.LE.3, F.IF.7e
Multiple
Lesson 4.2
Applying Exponential Growth and Decay
N.CN.3, N.CN.9
Microbiologists
Lesson 4.3
The numbere
F.BF.5
Multiple
Lesson 4.4
Logarithms
F.BF.5
Multiple
Lesson 4.5
Properties of Logarithmic Functions
A.REI.5, F.BF.5, F.LE.4, F.IF.7e
Multiple
Lesson 4.6
Applying Properties of Logarithmic Functions
A.REI.5, F.BF.5, F.LE.4, F.IF.7e
Obstetricians
Lesson 4.7
Solving Exponential and Logarithmic Equations
F.BF.5, F.LE.4, F.LE.5
Multiple
Lesson 4.8
Applying Solving Exponential and Logarithmic Equations
F.BF.5, F.LE.4, F.LE.5
Environmental Scientists and Specialists, Including Health

### 5. Trigonometry

Lesson Topic CCSS Occupation
Lesson 5.1
Sine, Cosine, and Tangent in Right Triangles
G.SRT.6, G.SRT.7
Multiple
Lesson 5.2
Inverse Sine, Cosine, and Tangent in Right Triangles
G.SRT.6, G.SRT.7
Multiple
Lesson 5.3
The Law of Sines and the Law of Cosines
G.SRT.10
Multiple
Lesson 5.4
Solving Triangles
G.SRT.9, G.SRT.10
Multiple
Lesson 5.5
Applying Solving Triangles
G.SRT.9, G.SRT.10
Machinists
Lesson 5.6
More Applying Solving Triangles
G.SRT.9, G.SRT.10
Welders, Cutters, Solderers, and Brazers
Lesson 5.7
F.TF.1, F.TF.2, F.TF.3
Multiple
Lesson 5.8
The Unit Circle
F.TF.1, F.TF.2, F.TF.3, F.TF.4
Multiple
Lesson 5.9
Applying the Unit Circle
F.TF.1, F.TF.2, F.TF.3, F.TF.4
Web and Digital Interface Designers

### 6. Vectors

Lesson Topic CCSS Occupation
Lesson 6.1
Magnitude and Direction of Vectors
N.VM.1, N.VM.2
Multiple
Lesson 6.2
Applying Magnitude and Direction of Vectors
G.SRT.6, G.SRT.7
Traffic Technicians
Lesson 6.3
Vector Components
N.VM.3, N.VM.4
Multiple
Lesson 6.4
Operations with Vectors
N.VM.4, N.VM.4a, N.VM.4b, N.VM.4c
Multiple
Lesson 6.5
Vector Sums
N.VM.4a, N.VM.4b, N.VM.4c
Multiple
Lesson 6.6
Scalars
N.VM.5, N.VM.5a, N.VM.5b
Multiple
Lesson 6.7
Applying Scalars
N.VM.5, N.VM.5a, N.VM.5b
Logisticians

### 7. Trig Identities and Trig Equations

Lesson Topic CCSS Occupation
Lesson 7.1
Sum and Difference Identities
F.TF.8, F.TF.9
Multiple
Lesson 7.2
Angle Identities
F.TF.8, F.TF.9
Multiple
Lesson 7.3
Proof of the Identities
F.TF.8, F.TF.9
Multiple
Lesson 7.4
Trigonometric Equations
F.TF.4, F.TF.5, F.TF.6, F.TF.7
Multiple
Lesson 7.5
Applying Trigonometric Equations
F.TF.4, F.TF.5, F.TF.6, F.TF.7
Bioengineers and Biomedical Engineers
Lesson 7.6
Using Notation with Complex Numbers
N.CN.3, N.CN.7
Multiple
Lesson 7.7
Applying Using Notation with Complex Numbers
N.CN.3, N.CN.7
Electronics Engineers

### 8. Series and Sequences

Lesson Topic CCSS Occupation
Lesson 8.1
Defining Series and Sequences
A.SSE.4, F.BF.2
Multiple
Lesson 8.2
Arithmetic Series and Sequences
A.SSE.4, F.BF.2
Multiple
Lesson 8.3
Applying Arithmetic Series and Sequences
A.SSE.4, F.BF.2
Library Technicians
Lesson 8.4
Geometric Series and Sequences
A.SSE.4, F.BF.2
Multiple
Lesson 8.5
Applying Geometric Series and Sequences
A.SSE.4, F.BF.2
Agricultural Technicians
Lesson 8.6
Infinite Geometric Series
F.BF.2
Multiple

### 9. Binary Numbers

Lesson Topic CCSS Occupation
Lesson 9.1
ISBN Numbers
Communication Connections
Multiple
Lesson 9.2
Base 2
Communication Representation
Multiple
Lesson 9.3
1's and 0's
Communication Representation
Multiple
Lesson 9.4
Applying 1's and 0's
Communication Representation
Lesson 9.5
Other Based Number Systems
Problem Solving Communication Connections Representation
Multiple

### 10. Computation and Computer Science

Lesson Topic CCSS Occupation
Lesson 10.1
Graph Theory
Communication Representation
Multiple
Lesson 10.2
Local and Global Variables
Connections
Multiple
Lesson 10.3
Boolean Data and Logic
Communication Connections
Multiple
Lesson 10.4
Applying Boolean Data and Logic
Communication Connections
Software Quality Assurance Analysts and Testers
Lesson 10.5
Translating Mathematic Expressions into Computer Statements
Communication Connections Representation
Multiple
Lesson 10.6
Applying Translating Mathematic Expressions into Computer Statements
Communication Connections Representation
Communication Connections Representation

### 11. Topology

Lesson Topic CCSS Occupation
Lesson 11.1
Topology and Topological Equivalence
Reasoning and Proof Communication
Multiple
Lesson 11.2
Mobius Strips and Klein Bottles
Connections Representation
Multiple
Lesson 11.3
Orientable and Non-Orientable Figures
Reasoning and Proof Communication
Multiple
Lesson 11.4
Applying Orientable and Non-Orientable Figures
Reasoning and Proof Communication
Industrial Machinery Mechanics
Lesson 11.5
Topological Properties
Communication Connections Representation
Multiple
Lesson 11.6
Homogenous Figures
Reasoning and Proof Communication
Multiple