# Algebra I

## 1.Algebra Foundations

Lesson Topic CCSS Occupation
Lesson 1.1
Real Numbers
N-RN.3
Multiple
Lesson 1.2
Dimensional Analysis
N-Q.1, N-Q.2, N-Q.3
Multiple
Lesson 1.3
Unit Analysis
N-Q.1
Dental Laboratory Technicians
Lesson 1.4
Modeling with Quantities
N-Q.2
Terrazzo Workers and Finishers
Lesson 1.5
Precision and Accuracy
N-Q.1, N-Q.3
Environmental Science and Protection Technicians
Lesson 1.6
Algebraic Expressions
A-SSE.1, A-SSE.1a
Multiple
Lesson 1.7
Writing and Simplifying Algebraic Expressions
A-SSE.1, A-SSE.1a
Multiple
Lesson 1.8
Structure of Expressions
A-SSE.1, A-SSE.1a
Economics Teachers, Postsecondary

## 2. Solving Equations

Lesson Topic CCSS Occupation
Lesson 2.1
Solving One- and Two-Step Equations
A-REI.1, A-REI.3
Multiple
Lesson 2.2
Writing Linear Equations
A-CED.1, A-REI.3
Credit Counselors
Lesson 2.3
Solve Multi-Step Equations
A-REI.1, A-REI.3
Multiple
Lesson 2.4
Solving Linear Equations with a Variable on One Side
A-CED.1, A-REI.1, A-REI.3
Veterinarians
Lesson 2.5
Solving Linear Equations with a Variable on Both Sides
A-CED.1, A-REI.1, A-REI.3
Bookkeeping, Accounting, and Auditing Clerks
Lesson 2.6
Introduction to Literal Equations and Formulas
A-CED.1, A-CED.4, A-REI.1
Multiple
Lesson 2.7
Solving Literal Equations and Formulas
N-Q.1, A-CED.4, A-REI.1
Electricians

## 3. Solving Inequalities

Lesson Topic CCSS Occupation
Lesson 3.1
Inequalities in One Variable
A-CED.1, A-REI.3
Multiple
Lesson 3.2
Writing Linear Inequalities in One Variable
A-CED.1, A-REI.3
Multiple
Lesson 3.3
Solving Linear Inequalities in One Variable
A-CED.1, A-REI.3
Property, Real Estate, and Community Association Managers
Lesson 3.4
Solving and Graphing Compound Inequalities - And
A-CED.1, A-REI.3
Multiple
Lesson 3.5
Solving and Graphing Compound Inequalities - Or
A-CED.1, A-REI.3
Multiple
Lesson 3.6
Using Compound Inequalities
A-CED.1, A-CED.3, A-REI.3
Billing and Posting Clerks
Lesson 3.7
Absolute Value Inequalities in One Variable
A-CED.1, A-REI.3
Multiple
Lesson 3.8
Writing and Solving Absolute Value Inequalities
A-CED.1, A-CED.3, A-REI.3
Exercise Physiologists
Lesson 3.9
Solving Inequalities Graphically
A-CED.1, A-CED.3, A-REI.3
Business Operations Specialists, All Other

## 4. Functions and Linear Functions

Lesson Topic CCSS Occupation
Lesson 4.1
Relations and Functions
F-IF.1, F-IF.2
Multiple
Lesson 4.2
Features of Functions
A-CED.2, F-IF.4, F-IF.5
Multiple
Lesson 4.3
Identifying Linear Functions
A-CED.2, A-REI.10, F-IF.4, F-IF.5, F-LE.1b
Multiple
Lesson 4.4
Rate of Change
A-CED.2, F.LE.1a, F.LE.1b
Multiple
Lesson 4.5
Standard Form and Slope-Intercept Form
A-CED.2, A-REI.10, F-IF.7a
Multiple
Lesson 4.6
Equations of Parallel and Perpendicular Lines
G-CO.9
Multiple
Lesson 4.7
Graphs of Linear Functions
A-CED.2, A-REI.10, F-IF.7a, F-LE.2
Multiple
Lesson 4.8
Rate of Change of Linear Functions
F-IF.6
Fitness Trainers and Aerobics Instructors
Lesson 4.9
Representations of Linear Functions
F-IF.9, F-LE.1b
Geological and Petroleum Technicians
Lesson 4.10
Using Graphs of Linear Functions
A-CED.2, A-CED.3, A-REI.10, F-IF.6, F-IF.7a
Hydrologists
Lesson 4.11
Scatter Plots and Lines of Fit
A-CED.2, S-ID.6, 6a, 6b, 6c, 7, 8, 9
Multiple
Lesson 4.12
Applying Scatter Plots and Lines of Fit
S-ID.6, S-ID.6a, S-ID.6c, F-LE.5
Cost Estimators
Lesson 4.13
Analyzing Lines of Fit
S-ID.6, S-ID.6a, S-ID.7, S-ID.8, S-ID.9, F-Le.5
Financial Managers

## 5. Systems of Equations and Inequalities

Lesson Topic CCSS Occupation
Lesson 5.1
Solving Systems of Linear Equations by Graphic
A-CED.2, A-CED.3, A-REI.5, A-REI.6, A-REI.10
Multiple
Lesson 5.2
Applying Systems of Linear Equations
A-CED.2, A-CED.3, A-REI6
Chefs and Head Cooks
Lesson 5.3
Solving Linear Equations in One Variable by Graphing
A-CED.3, A-REI.5, A-REI.6, A-REI.10, A-REI.11
Multiple
Lesson 5.4
Solving Systems of Linear Equations by Substitution
A-CED.3, A-REI.5, A-REI.6
Multiple
Lesson 5.5
Solving Systems of Linear Equations by Elimination
A-CED.3, A-REI.5, A-REI.6
Multiple
Lesson 5.6
Writing and Solving Systems of Linear Equations
A-CED.3, A-REI.6
Software Developers, Applications
Lesson 5.7
Special Systems of Linear Equations
A-CED.3, A-REI.5, A-REI.6
Multiple
Lesson 5.8
Graphing Linear Inequalities in Two Variables
A-CED.3, A-REI.12
Multiple
Lesson 5.9
Writing and Using Linear Inequalities in Two Variables
A-CED.3, A-REI.12
Soil and Plant Scientists
Lesson 5.10
Graphing Systems of Linear Inequalities
A-CED.3, A-REI.12
Multiple
Lesson 5.11
Applying Systems of Linear Inequalities
A-CED.3, A-REI.12
Industrial Engineers

## 6. Exponents and Exponential Functions

Lesson Topic CCSS Occupation
Lesson 6.1
Properties of Exponents
N-RN.2
Multiple
Lesson 6.2
Understanding Radical and Rational Exponents
N-RN.1, N-RN.2
Multiple
Lesson 6.3
Exponential Functions
F-IF.4, F-IF.5, F-IF.7e, F-LE.1c, F-LE.2
Multiple
Lesson 6.4
Graphing Exponential Functions
F-IF.1, F-IF.4, F-IF.7e
Accountants and Auditors
Lesson 6.5
Exponential Growth and Exponential Decay Functions
A-SSE.1b, A-SSE.3c, F-IF.7e, F-IF.8b, F-LE.1c, F-LE.2
Multiple
Lesson 6.6
Applying Exponential Growth
F-LE.1c, F-IF.8b
Animal Scientists
Lesson 6.7
Applying Exponential Decay
F-LE.1c, F-IF.8b
Forensic Science Technicians
Lesson 6.8
Solving Exponential Equations
A-CED.1, A-REI.1, A-REI.11
Multiple
Lesson 6.9
Applying Exponential Equations
A-CED.1, A-REI.1, A-SSE.3c
Epidemiologists
Lesson 6.10
Comparing Exponential Functions
F-IF.9, F-IF.8b
Insurance Sales Agents

## 7. Sequences

Lesson Topic CCSS Occupation
Lesson 7.1
Understanding Sequences
F-IF.3, F-BF.1a
Biological Science Teachers, Postsecondary
Lesson 7.2
Explicitly-Defined Arithmetic Sequences
F.IF.1, F.IF.2, F-BF.1a, F-BF.2, F-LE.2
Multiple
Lesson 7.3
Recursively-Defined Arithmetic Sequences
F.IF.1, F.IF.2, F.IF.3, F-BF.1a, F-BF.2, F-LE.2
Multiple
Lesson 7.4
Applying Arithmetic Sequences
F-BF.1a, F-BF.2
General and Operations Managers
Lesson 7.5
Explicitly-Defined Geometric Sequences
F.IF.1, F.IF.2, F-BF.1a, F-BF.2, F-LE.2
Multiple
Lesson 7.6
Recursively-Defined Geometric Sequences
F.IF.1, F.IF.2, F.IF.3, F-BF.1a, F-BF.2, F-LE.2
Multiple
Lesson 7.7
Applying Geometric Sequences
F-BF.1a, F-BF.2
Actuaries
Lesson 7.8
Applying Recursively-Defined Sequences
F.BF.1a, F-IF.3
Sociologists

## 8. Polynomials and Factoring

Lesson Topic CCSS Occupation
Lesson 8.1
Modeling with Polynomials
A.SSE.1a
Astronomers
Lesson 8.2
Adding and Subtracting Polynomials
A-SSE.1a, A-APR.1
Multiple
Lesson 8.3
Multiplying Monomial and Binomials
A-SSE.1a, A-APR.1
Multiple
Lesson 8.4
Multiplying Polynomials
A-SSE.1a, A-APR.1
Multiple
Lesson 8.5
Special Products of Polynomials
A-SSE.1a, A-SSE.2, A-APR.1
Multiple
Lesson 8.6
Operations with Polynomials
A-SSE.3, A-APR.1
Operations Research Analyst
Lesson 8.7
Using the GCF
A-SSE.1a, A-SSE.1b, A-SSE.2, A-SSE.3, A-APR.1
Multiple
Lesson 8.8
Factoring the Difference of Squares
A-SSE.2, A-SSE.3, A-APR.1
Multiple
Lesson 8.9
Factoring Using Grouping
A-SSE.1b, A-SSE.3, A-APR.1
Multiple
Lesson 8.10
Factoring Quadratic Expressions in Form x2 + Bx + C
A-SSE.1b, A-SSE.3, A-SSE.3a, A-APR.1
Multiple
Lesson 8.11
Factoring Quadratic Expressions in Form Ax2 + Bx + C
A-SSE.1b, A-SSE.3, A-SSE.3a, A-APR.1
Multiple

## 9. Quadratic Functions and Equations

Lesson Topic CCSS Occupation
Lesson 9.1
Graphing Quadratic Functions in Standard Form
A-REI.10, F-IF.3, F-IF.5, F-IF.7a
Multiple
Lesson 9.2
Graphing Quadratic Functions in Vertex Form and Intercept Form
A-SSE.3b, A-REI.10, F-IF.4, F-IF.5, F-IF.7a, F-IF,8a
Multiple
Lesson 9.3
Applying the Vertex Form of Quadratic Functions
A-SSE.3b, F-IF.7a, F-IF.8a
Atmospheric and Space Scientists
Lesson 9.4
Applying Graphs of Quadratic Functions
A-SSE.3a, A-SSE.3b, F-IF.7a, F-IF.8a
Aerospace Engineers
Lesson 9.5
Solving by Graphing and Taking the Square Root
A-REI.4b, A-REI.11, F-IF.7a
Multiple
Lesson 9.6
Solve Quadratic Equations by Factoring
A-REI.4b
Multiple
Lesson 9.7
Solve Quadratic Equations by Completing the Square
A-REI.4a, A-REI.4b
Multiple
Lesson 9.8
A-REI.4a, A-REI.4b
Multiple
Lesson 9.9
Using Quadratic Equations to Solve Problems
A-REI.4a, A-REI.4b
Physicists
Lesson 9.10
F-IF.4, F-IF.9
Industrial Production Managers
Lesson 9.11
Solving Linear-Quadratic Systems Graphically
A-REI.7, A-REI.11
Multiple
Lesson 9.12
Solving Linear-Quadratic Systems Algebraically
A-REI.7
Multiple
Lesson 9.13
A-REI.7, A-REI.11
Economists

## 10. Graphing and Modeling with Functions

Lesson Topic CCSS Occupation
Lesson 10.1
Graphing Absolute Value Functions
A-CED.2, F-IF.4, F-IF.7b
Multiple
Lesson 10.2
Graphing Step Functions
A-CED.2, F-IF.4, F-IF.7b
Multiple
Lesson 10.3
Applying Step Functions
F-IF.4, F-IF.5, F-IF.7b
Cargo and Freight Agents
Lesson 10.4
Graphing Piecewise-Defined Functions
A-CED.2, F-IF.4, F-IF.7b
Multiple
Lesson 10.5
Applying Piecewise-Defined Functions
F-IF.4, F-IF.5, F-IF.7b
Tax Preparers
Lesson 10.6
Translations of Graphs of Functions
A-REI.10, F-BF.1, F-BF.1b, F-BF.3
Multiple
Lesson 10.7
Stretches and Shrinks of Graphs of Functions
A-REI.10, F-BF.3
Multiple
Lesson 10.8
Reflection of Graphs of Functions
A-REI.10, F-BF.3
Multiple
Lesson 10.9
Operations on Functions
A-REI.10, F-BF.3
Film and Video Editors
Lesson 10.10
Comparing Linear, Exponential, and Quadratic Models
F.IF.6, F-IF.9, F.LE.1, F.LE.1b, F.LE.1c, F.LE.3
Multiple
Lesson 10.11
Applying Comparisons of Linear, Exponential, and Quadratic Models
F.IF.6, F-IF.9, F-LE.3
Appraisers and Assessors of Real Estate

## 11. Radical Expressions and Inverse Functions

Lesson Topic CCSS Occupation
Lesson 11.1
N.RN.2, N.RN.3
Multiple
Lesson 11.2
Describing and Graphing Square Root Functions
A-CED.2, F-IF.4, F-IF.5, F-IF.7b, F-BF.3
Multiple
Lesson 11.3
Writing Square Root Functions
A-CED.2, A-REI.2
Lesson 11.4
Applying Square Root Functions
A-CED.1, A-REI.2
Registered Nurses
Lesson 11.5
Applying Graphs of Square Root Functions
F-IF.4, F-IF.5, F-IF.7b
Mechanical Engineers
Lesson 11.6
Describing and Graphing Cube Root Functions
A-CED.2, F-IF.4, F-IF.5, F-IF.7b, F-BF.3
Multiple
Lesson 11.7
Solving Radical Equations Graphically
A-REI.11, F-IF.7b
Multiple
Lesson 11.8
Solving Radical Equations Algebraically
A-REI.2
Multiple
Lesson 11.9
Inverses of Functions
F-BF.4a
Multiple
Lesson 11.10
Inverses of Linear Functions
F-BF.4a
Multiple
Lesson 11.11
Inverses of Radical Functions
F-BF.4a
Multiple
Lesson 11.12
Inverse of Quadratic Functions
F-BF.4a
Multiple
Lesson 11.13
Applying Inverse Functions
F-BF.4a
Wind Turbine Service Technicians

## 12. Statistics

Lesson Topic CCSS Occupation
Lesson 12.1
Measures of Center
S-ID.3
Multiple
Lesson 12.2
S-ID.3
Multiple
Lesson 12.3
Applying Measures of Center and Spread
S-ID.3
Statisticians
Lesson 12.4
Representing Data with Box Plots
S-ID.1, S-ID.3
Multiple
Lesson 12.5
Applying Box Plots
S-ID.1, S-ID.3
Computer and Information Systems Managers
Lesson 12.6
Distributions of Data
S-ID.1, S-ID.2, S-ID.3
Multiple
Lesson 12.7
Representing Data with Histograms
S-ID.1, S-ID.2, S-ID.3
Multiple
Lesson 12.8
Applying Histograms
S-ID.1, S-ID.2, S-ID.3
Financial Examiners
Lesson 12.9
Analyzing Data
S-ID.1, S-ID.2, S-ID.3
Market Research Analysts and Marketing Specialists
Lesson 12.10
Two-Way Frequency Tables
S-ID.5
Multiple
Lesson 12.11
Applying Two-Way Frequency Tables
S-ID.5
Social Science Research Assistants