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 |
Solve Quadratic Equations by Quadratic Formula |
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 |
Comparing Quadratic Functions |
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 |
Applying Linear-Quadratic Systems |
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 |
Radical Expressions |
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 |
Radiologic Technologists |
|
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 |
Measures of Spread |
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 |
