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 |
Exponents and Radicals |
N.RN.1, N.RN.2, F.IF.7b |
Multiple |
|
Lesson 1.7 |
Applying Exponents and Radicals |
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 |
5. Quadratic Functions
| 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 |
Solving Quadratic Functions by Factoring |
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 |
Graphing Radical Functions |
F.IF.7b, F.IF.7e, F.IF.8 |
Multiple |
|
Lesson 8.6 |
Solving Radical Equations |
A.REI.2, A.CED.1 |
Multiple |
|
Lesson 8.7 |
Applying Radical Functions |
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 |
Adding and Subtracting Rational Expressions |
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 |
Graphing Radical Functions |
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 |
Radians |
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 |
Database Administrators |
|
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 |